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Scholastic Do The Math Correlated to the Nebraska Mathematics Standards

Grades 2 - 8

~ November 2009 ~

Scholastic Do the Math Correlated to the Nebraska Mathematics Standards

Grade 2

Nebraska Math Standards Do the Math

MA 2.1 Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 2.1.1 Number System: Students will demonstrate, represent, and show relationships among whole numbers within the base-ten number system.

MA 2.1.1.a Read and write numbers 0 – 1,000 (e.g., count numbers from 400 – 500; write numbers from 400 – 500)

Do The Math: Addition and Subtraction: A Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 9-10 Write numbers to 999 in expanded form

MA 2.1.1.b Count by multiples of 2 up to 100

The opportunity to meet this objective is available. For example, see: Do The Math: Multiplication: B Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 12 Introduce key math vocabulary: multiple. Lesson 12, 14 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The Math: Multiplication: C Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 16 Introduce key math vocabulary: multiple Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 29 Communicate ideas with key math vocabulary: factor, product,

Nebraska Standards and Do the Math/Page 1 November 2009


Grade 2


Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate. Lesson 12 Introduce key math vocabulary: multiple.

MA 2.1.1.e Demonstrate multiple equivalent representations for numbers 1 – 1,000 (e.g., 423 is 4 hundreds, 2 tens and 3 ones; 423 is 3 hundreds 12 tens and 3 ones)

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Do The Math: Addition and Subtraction: C Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 18-20, 24, 26-27, 30 Whiteboard Tools: Spinner: generate three-digit numbers, reinforces place value, subtracting three-digit numbers Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.

MA 2.1.1.h Use visual models to represent fractions of one-half as a part of a whole

Do The Math: Fractions: A Lesson 1-15, 20-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 16-21, 26 Whiteboard Tools: Fraction Shapes Do The Math: Fractions: B Lesson 1-12, 15-16, 18-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 22-24 Whiteboard Tools: Fraction Shapes Do The Math: Fractions: C Lesson 1-9 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions

MA 2.1.2 Operations: Students will demonstrate the meaning of addition and subtraction with whole numbers.



Grade 2


MA 2.1.2.a Use objects, drawings, words, and symbols to explain the relationship between addition and subtraction (e.g., if 2 + 3 = 5 then 5 – 3 = 2)

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: B Lesson 1-2, 6-7, 19-27, 30 Use the inverse relationship of addition and subtraction to calculate sums and differences.

MA 2.1.2.b Use objects, drawings, words, and symbols to explain the use of subtraction to find a missing addend (e.g., if 3 + __ = 7, then 7- 3 = __.)

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: B Lesson 1-2, 6-7, 19-27, 30 Use the inverse relationship of addition and subtraction to calculate sums and differences.

MA 2.1.3 Computation: Students will compute fluently and accurately using appropriate strategies and tools.

MA 2.1.3.a Fluently add whole number facts with sums to 20

Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 12 Calculate the sum to 19 for more than two addends. Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10.

MA 2.1.3.b Fluently subtract whole number facts with differences from 20

Do The Math: Addition and Subtraction: B Lesson 2 Calculate the difference between numbers up to 10.

MA 2.1.3.c Add and subtract three- Do The Math: Addition and Subtraction: A



Grade 2


digit whole numbers with regrouping Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: C Lesson 6-8 Calculate sums of two-digit addends. Lesson 9-10 Calculate sums of three-digit addends. Lesson 18-20, 24, 26-27, 30 Whiteboard Tools: Spinner: generate three-digit numbers, reinforces place value, subtracting three-digit numbers

MA 2.1.3.d Use a variety of methods and tools to compute sums and differences (e.g., models, mental computation, paper–pencil)

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting



Grade 2


Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends. Lesson 9-10 Calculate sums of three-digit addends. Lesson 18-20, 24, 26-27, 30 Whiteboard Tools: Spinner: generate three-digit numbers, reinforces place value, subtracting three-digit numbers

MA 2.1.4 Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools.

MA 2.2 Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 2.2.1 Characteristics: Students will describe characteristics of two-dimensional shapes and identify three-dimensional objects.

MA 2.2.2 Coordinate Geometry: Students will describe direction on a positive number line.

MA 2.2.3 Transformations: Students will identify lines of symmetry.

MA 2.2.4 Spatial Modeling: Students will create two-dimensional shapes.

MA 2.2.5 Measurement: Students will measure using standard units, time and money.

MA 2.3 Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within



Grade 2


mathematics and across disciplines. MA 2.3.1 Relationships: Students will identify, describe, and extend relationships.

MA 2.3.2 Modeling in Context: Students will use objects, pictures, and symbols as models to represent mathematical situations.

MA 2.3.3 Procedures: Students will use concrete, verbal, visual, and symbolic representations to solve number sentences.

MA 2.3.3.a Use symbolic representations of the commutative property of addition (e.g., 2 + 3 = Δ + 2)

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: C Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems.

MA 2.4 Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 2.4.1 Display and Analysis: Students will organize, display, compare, and interpret data.

MA 2.4.2 Predictions and Inferences: Mastery not expected at this level.

MA 2.4.3 Probability: Mastery not expected at this level.



Grade 3



MA 3.1.1 Number System: Students will represent and show relationships among positive rational numbers within the base-ten number system.

MA 3.1.1.a Read and write numbers to one-hundred thousand (e.g., 4,623 is the same as four thousand six hundred twenty three)

Do The Math: Addition and Subtraction: A Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 9-10 Write numbers to 999 in expanded form Lesson 21, 25, 30 Write numbers to 9,999 in expanded form. Lesson 27 Read and write numbers to 99,999.

MA 3.1.1.b Count by multiples of 5 to 200

The opportunity to meet this objective is available. For example, see: Do The Math: Multiplication: B Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 12 Introduce key math vocabulary: multiple. Lesson 12, 14 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The Math: Multiplication: C Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 16 Introduce key math vocabulary: multiple Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate.



Grade 3


Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate. Lesson 12 Introduce key math vocabulary: multiple.

MA 3.1.1c Count by multiples of 10 to 400

Do The Math: Addition and Subtraction: A Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts Lesson 18 Introduce key math vocabulary: multiples of 10. Lesson 19, 22-23 Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of 10. Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, sum, addend, and multiples of 10. Do The Math: Multiplication: C Lesson 6 Calculate products with one-digit factors times 10. Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10. Lesson 13-16, 20-21, 25 Lesson 24-25 Calculate products with two-digit multiples of 10.Calculate products of one-digit factors times multiples of 10.

MA 3.1.1.d Count by multiples of 100 to 1,000

The opportunity to meet this objective is available. For example, see: Do The Math: Multiplication: B Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 12 Introduce key math vocabulary: multiple. Lesson 12, 14 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The Math: Multiplication: C Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 16 Introduce key math vocabulary: multiple Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product,



Grade 3


and multiple. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate. Lesson 12 Introduce key math vocabulary: multiple.

MA 3.1.1.e Demonstrate multiple equivalent representations for numbers up to 10,000 (e.g., 10 tens is 1 hundred; 10 ten thousands is 1 hundred thousand; 2,350 is 235 tens; 2,350 is 2,000 + 300 + 50; 2,350 is 23 hundreds and 5 tens)

Do The Math: Addition and Subtraction: A Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Do The Math: Addition and Subtraction: C Lesson 6 Introduce key math vocabulary: expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 6-8 Write numbers to 99 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 9-10 Write numbers to 999 in expanded form Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 18-20, 24, 26-27, 30 Whiteboard Tools: Spinner: generate three-digit numbers, reinforces place value, subtracting three-digit numbers Lesson 21, 25, 30 Write numbers to 9,999 in expanded form. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.



Grade 3


MA 3.1.1.h Find parts of whole and parts of a set for ½, ⅓, or ¼

Do The Math: Fractions: A Lesson 1 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, and one-eighth. Lesson 1-12, 14-15, 21-25, 27-28, 30 Name parts of a whole as fractions and use standard notation. Lesson 2 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction bar, and denominator Lesson 3, 5 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, and one-sixteenth. Lesson 4, 6 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equation. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 9 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 10 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 11 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eight, and one-sixteenth. Lesson 12 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, equation, and equals. Lesson 13 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, is greater than, mixed number and improper fraction Lesson 13 Name parts of a whole as fractions Lesson 14 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equivalent, mixed number and improper fraction. Lesson 15 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equation, equivalent, mixed number and improper fraction. Lesson 16-17 Communicate ideas with key math vocabulary: whole, fraction,



Grade 3


and one-fourth. Lesson 18 Use standard notation to names parts of a whole Lesson 20 Communicate ideas with key math vocabulary: one-half, one-fourth, one-eighth, equivalent, is less than, is greater than, mixed number and improper fraction. Lesson 21 Introduce key math vocabulary: one-third, one-sixth, and one-twelfth. Lesson 21 Communicate ideas with key math vocabulary: whole, denominator, one-third, one-sixth, and one-twelfth. Lesson 22 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-third, one-sixth, and one-twelfth. Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 26 Communicate ideas with key math vocabulary: whole, fraction, one-third, one-sixth, and one twelfth. Lesson 27 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, denominator, equivalent, equals, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 28 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 29 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction, denominator, equation, equivalent, equals, is less than, is greater than, mixed number, one-third, one-sixth, and one-twelfth. Lesson 30 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, is less than, is greater than, one-third, one-sixth, and one-twelfth. Do The Math: Fractions: B Lesson 1-2, 4, 7-10 Name parts of a whole as fractions and use standard notation.

MA 3.1.1.i Round a given number to tens, hundreds, or thousands

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: C



Grade 3


Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand. Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Lesson 29 Introduce key math vocabulary: rounded number. Lesson 29 Communicate ideas with key math vocabulary: digit and rounded number.

MA 3.1.2 Operations: Students demonstrate the meaning of multiplication with whole numbers.

MA 3.1.2.b Use objects, drawings, words and symbols to explain the relationship between multiplication and division (e.g., if 3 x 4 = 12 then 12 ÷ 3 = 4.)

The opportunity to meet this objective is available. For example, see: Do The Math: Division: B Lesson 1-6, 21-28, 30 Use the inverse relationship between division and multiplication to solve problems. Do The Math: Division: C Lesson 8-15 Use the inverse relationship between division and multiplication to solve problems

MA 3.1.2.c Use drawings, words, and symbols to explain the meaning of the factors and product in a multiplication sentence (e.g., in 3 x 4 = 12, 3 and 4 are factors and 12 is the total or product. The first factor (3) tells how many sets while the second factor tells how many are in each set. Another way to say this is that 3 groups of 4 equals 12 total.)

Do The Math: Multiplication: A Lesson 1-4, 19, 22 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 2-5, 8-10, 19 Represent combining equal groups with related addition and multiplication equations Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-7 Identify examples of equal groups. Lesson 16 Introduce key math vocabulary: factor, multiply, and product. Lesson 16 Communicate ideas with key math vocabulary: factor, multiplication, multiplication equation, multiply, product, and times. Lesson 20 Communicate ideas with key math vocabulary: factor, multiplication equation, and product. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation,



Grade 3


product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, product, and times Lesson 25 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, and product. Do The Math: Multiplication: B Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 2-5, 9-11, 22 Communicate ideas with key math vocabulary: multiplication equation, factor, and product. Lesson 3-4, 7-9, 16-17, 19, 27-28 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 8 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and Commutative Property of Multiplication. Lesson 12, 14 Communicate ideas with key math vocabulary: factor, product, and multiple Lesson 13, 16-17, 23 Communicate ideas with key math vocabulary: factor and product. Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 18 Communicate ideas with key math vocabulary: factor, product, and square number. Lesson 19 Communicate ideas with key math vocabulary: product and square number. Lesson 20 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and square number. Lesson 21 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, and multiple. Lesson 24 Communicate ideas with key math vocabulary: factor, product, and Zero Property of Multiplication. Lesson 25 Communicate ideas with key math vocabulary: product. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number.



Grade 3


Lesson 29 Communicate ideas with key math vocabulary: multiplication equation, factor and product. Do The Math: Multiplication: C Lesson 1, 6 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 2 Introduce key math vocabulary: factor and product. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 2, 4-15, 17 Communicate ideas with key math vocabulary: factor and product. Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

MA 3.1.2.d Use drawings, words, and symbols to explain the meaning of multiplication using an array (e.g., an array with 3 rows and 4 columns represents the multiplication sentence 3 x 4 = 12)

Do The Math: Multiplication: A Lesson 9 Represent equal groups with rows of tiles. Lesson 9 Whiteboard Tools: Tiles Lesson 21-22, 24 Represent combining equal rows with multiplication equations. Do The Math: Multiplication: B Lesson 1 Introduce key math vocabulary: multiplication equation, factor, and product. Lesson 1-2 Represent arrangements of equal rows with multiplication equations Lesson 3-4, 7, 16 Represent arrangements of equal rows and rectangles with multiplication equations.


MA 3.1.3.a Compute whole number Do The Math: Multiplication: A



Grade 3


multiplication facts 0 – 10 fluently Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 8-11, 13-22, 24-25, 30 Calculate products with factors 1 through 6. Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12 Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 6 Calculate products with one-digit factors times 10. Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12

MA 3.1.3.b Add and subtract through four-digit whole numbers with regrouping

Do The Math: Addition and Subtraction: A Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: C Lesson 6-8 Calculate sums of two-digit addends. Lesson 9-10 Calculate sums of three-digit addends. Lesson 18-20, 24, 26-27, 30 Whiteboard Tools: Spinner: generate three-digit numbers, reinforces place value, subtracting three-digit numbers

MA 3.1.3.c Select and apply the appropriate methods of computation when problem solving with four-digit whole numbers through the thousands (e.g., models, mental computation, paper-pencil)

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts,



Grade 3


adding one-digit numbers, pairs with sums of 10 Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends. Lesson 9-10 Calculate sums of three-digit addends. Lesson 18-20, 24, 26-27, 30 Whiteboard Tools: Spinner: generate three-digit numbers, reinforces place value, subtracting three-digit numbers


MA 3.1.4.a Estimate the two-digit product of whole number multiplication and check the reasonableness

Do The Math: Multiplication: C Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product, and multiple



Grade 3


Lesson 18 Introduce key math vocabulary: estimate Lesson 18-20, 22-23, 26-28, 30 Make estimates of products. Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 25, 30 Communicate ideas with key math vocabulary: product and estimate. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.


MA 3.2.1 Characteristics: Students will identify characteristics and describe properties of two-dimensional shapes and three-dimensional objects.

MA 3.2.2 Coordinate Geometry: Students will identify distances on a number line.

MA 3.2.3 Transformations: Students will draw all lines of symmetry.

MA 3.2.4 Spatial Modeling: Students will create two-dimensional shapes and three-dimensional objects.

MA 3.2.5 Measurement: Students will apply appropriate procedures and tools to determine measurements using customary and metric units.

MA 3.3 Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 3.3.1 Relationships: Students will represent relationships.

MA 3.3.2 Modeling in Context: Students will create and use models to represent mathematical situations.



Grade 3


MA 3.3.3 Procedures: Students will identify and apply properties of whole numbers to solve equations involving addition and subtraction.



MA 3.4.2 Predictions and Inferences: Mastery not expected at this level.

MA 3.4.3 Probability: Students will find and describe experimental probability.



Grade 4



MA 4.1.1 Number System: Students will represent and show relationships among positive rational numbers within the base-ten number system.

MA 4.1.1.a Read and write numbers through the millions (e.g., 2,347,589 is the same as 2 million three hundred forty seven thousand five hundred eighty nine)

Do The Math: Addition and Subtraction: A Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 9-10 Write numbers to 999 in expanded form Lesson 21, 25, 30 Write numbers to 9,999 in expanded form. Lesson 27 Read and write numbers to 99,999. Lesson 30 Read and write numbers to 999,999

MA 4.1.1.d Classify a number as even or odd

The opportunity to meet this objective is available. For example, see: Do The Math: Division: B Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 20 Identify numbers divisible by 2, 5, and 10 Lesson 20 Calculate the quotients and remainders for two-digit numbers divided by 2, 5, and 10

MA 4.1.1.e Represent a fraction as parts of a whole and/or parts of a set

Do The Math: Fractions: A Lesson 1 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, and one-eighth. Lesson 1-12, 14-15, 21-25, 27-28, 30 Name parts of a whole as fractions and use standard notation. Lesson 2 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction bar, and denominator Lesson 3, 5 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, and one-sixteenth. Lesson 4, 6 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equation.



Grade 4


Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 9 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 10 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 11 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eight, and one-sixteenth. Lesson 12 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, equation, and equals. Lesson 13 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, is greater than, mixed number and improper fraction Lesson 13 Name parts of a whole as fractions Lesson 14 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equivalent, mixed number and improper fraction. Lesson 15 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equation, equivalent, mixed number and improper fraction. Lesson 16-17 Communicate ideas with key math vocabulary: whole, fraction, and one-fourth. Lesson 18 Use standard notation to names parts of a whole Lesson 20 Communicate ideas with key math vocabulary: one-half, one-fourth, one-eighth, equivalent, is less than, is greater than, mixed number and improper fraction. Lesson 21 Introduce key math vocabulary: one-third, one-sixth, and one-twelfth. Lesson 21 Communicate ideas with key math vocabulary: whole, denominator, one-third, one-sixth, and one-twelfth. Lesson 22 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-third, one-sixth, and one-twelfth.



Grade 4


Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 26 Communicate ideas with key math vocabulary: whole, fraction, one-third, one-sixth, and one twelfth. Lesson 27 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, denominator, equivalent, equals, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 28 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 29 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction, denominator, equation, equivalent, equals, is less than, is greater than, mixed number, one-third, one-sixth, and one-twelfth. Lesson 30 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, is less than, is greater than, one-third, one-sixth, and one-twelfth. Do The Math: Fractions: B Lesson 1-2, 4, 7-10 Name parts of a whole as fractions and use standard notation.

MA 4.1.1.f Use visual models to find equivalent fractions (e.g.,

Do The Math: Fractions: A Lesson 1-2, 5, 8-12, 14-15, 21, 23-25, 27 Identify equivalent fractions. Lesson 7 Introduce key math vocabulary: equivalent, equals, is less than, and is greater than. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 9 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 10 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equivalent,



Grade 4


equals, is less than, and is greater than. Lesson 14 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equivalent, mixed number and improper fraction. Lesson 15 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equation, equivalent, mixed number and improper fraction. Lesson 20 Communicate ideas with key math vocabulary: one-half, one-fourth, one-eighth, equivalent, is less than, is greater than, mixed number and improper fraction. Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 27 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, denominator, equivalent, equals, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 29 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction, denominator, equation, equivalent, equals, is less than, is greater than, mixed number, one-third, one-sixth, and one-twelfth. Do The Math: Fractions: B Lesson 2, 5 Communicate ideas with key math vocabulary: common numerator, unit fraction, and equivalent Lesson 2-5, 20-21, 25-28, 30 Identify equivalent fractions. Lesson 4 Introduce key math vocabulary: equivalent. Lesson 4 Communicate ideas with key math vocabulary: equivalent. Lesson 12-19 Identify fractions equivalent to 1/2. Lesson 12 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, and equivalent. Lesson 13-14 Communicate ideas with key math vocabulary: numerator, denominator, and equivalent. Lesson 15 Communicate ideas with key math vocabulary: numerator,



Grade 4


denominator, unit fraction, improper fraction, and equivalent. Lesson 16, 21 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, equivalent, and common denominator. Lesson 17 Communicate ideas with key math vocabulary: denominator, unit fraction, equivalent, and common denominator. Lesson 18 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, and equivalent. Lesson 22 Identify fractions equivalent to 1/3. Lesson 22-25 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, equivalent, and common Lesson 23 Identify fractions equivalent to 1/4. Lesson 24 Identify fractions equivalent to 1/2 and 1/3. Lesson 28 Communicate ideas with key math vocabulary: common numerator, equivalent, and common denominator. Lesson 30 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, equivalent, and common denominator. Do The Math: Fractions: C Lesson 1-9 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 4-6, 8-15, 17-25, 30 Identify and generate equivalent fractions.

MA 4.1.1.g Determine the size of a fraction relative to one half using equivalent forms (e.g., Is 3/8 more or less than one half?)

Do The Math: Fractions: A Lesson 7, 10, 27-28, 30 Compare fractions. Use the benchmark of 1/2. Lesson 19-20 Compare fractions. Do The Math: Fractions: B Lesson 16-19 Compare fractions to 1/2. Lesson 20 Compare fractions using benchmarks, common numerators, common denominators, and fractions one unit fraction from 1 whole. Lesson 26 Compare and order fractions using benchmarks, common numerators, common denominators. Lesson 27-28 Compare and order fractions using benchmarks, common numerators, and common denominators.



Grade 4


Lesson 30 Compare and order fractions using benchmarks, common numerators, common denominators, and fractions that are one unit fraction from 1 whole

MA 4.1.1.i Round a whole number to millions

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: C Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand. Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Lesson 29 Introduce key math vocabulary: rounded number. Lesson 29 Communicate ideas with key math vocabulary: digit and rounded number.

MA 4.1.2 Operations: Students will demonstrate the meaning of division with whole numbers.

MA 4.1.2.a Use drawings, words, and symbols to explain the meaning of division [(e.g., as repeated subtraction: Sarah has 24 candies. She put them into bags of 6 candies each. How many bags did Sarah use?) (e.g., as equal sharing: Paul has 24 candies. He wants to share them equally among his 6 friends. How many candies will each friend receive?)]

Do The Math: Division: A Lesson 1-3, 6 Communicate ideas with key math vocabulary: divide and division. Lesson 2 Introduce key vocabulary: divide and division Lesson 2-4, 6-9, 11-15, 21-24, 26, 29-30 Whiteboard Tools: Grouping and Sharing Tool Lesson 4-5, 7-11 Communicate ideas with key math vocabulary: divide, division, and remainder Lesson 12-17 Communicate ideas with key math vocabulary: divide, division, remainder, and quotient. Lesson 18-30 Communicate ideas with key math vocabulary: divide, division, remainder, quotient, and divisor


MA 4.1.3.a Compute whole number division facts 0 – 10 fluently

The opportunity to meet this objective is available. For example, see: Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors.



Grade 4


Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors.

MA 4.1.3.c Multiply two-digit whole numbers

Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10



Grade 4


Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 18 Introduce key math vocabulary: estimate. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors

MA 4.1.3.d Divide a three-digit number with one digit divisor with and without a remainder

Do The Math: Division: C Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

MA 4.1.3.f Select and apply the appropriate method of computation when problem solving (e.g., models, mental computation, paper-pencil)

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19



Grade 4


Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 21-26 Identify pairs of numbers with sums of 100. Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping



Grade 4


Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit



Grade 4


numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.


MA 4.1.4.a Estimate the three-digit product and the two-digit quotient of whole number multiplication and division and check the reasonableness

Do The Math: Multiplication: C Lesson 18-20, 22-23, 26-28, 30 Make estimates of products. Lesson 18 Introduce key math vocabulary: estimate. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 25, 30



Grade 4


Communicate ideas with key math vocabulary: product and estimate. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.


MA 4.2.1 Characteristics: Students will classify two-dimensional shapes and three-dimensional objects.

MA 4.2.2 Coordinate Geometry: Students will describe locations using coordinate geometry.

MA 4.2.3 Transformations: Students will identify simple transformations.

MA 4.2.4 Spatial Modeling: Student will use geometric models to solve problems.

MA 4.2.5 Measurement: Students will apply appropriate procedures and tools to estimate and determine measurement using customary and metric units.


MA 4.3.1 Relationships: Students will represent and analyze relationships.

MA 4.3.1.c Use ≥, ≤ symbols to compare quantities

The opportunity to meet this objective is available. For example, see: Do The Math: Fractions: A Lesson 7 Introduce key math vocabulary: equivalent, equals, is less than, and is greater than. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 10 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equivalent,



Grade 4


equals, is less than, and is greater than. Lesson 16-17, 19-20, 26 Solves problems involving fractions less than and greater than 1. Lesson 20 Communicate ideas with key math vocabulary: one-half, one-fourth, one-eighth, equivalent, is less than, is greater than, mixed number and improper fraction. Lesson 27 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, denominator, equivalent, equals, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 28 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 29 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction, denominator, equation, equivalent, equals, is less than, is greater than, mixed number, one-third, one-sixth, and one-twelfth. Lesson 30 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, is less than, is greater than, one-third, one-sixth, and one-twelfth.

MA 4.3.2 Modeling in Context: Students will create and use models to represent mathematical situations.

MA 4.3.3 Procedures: Students will identify and apply properties of whole numbers to solve equations involving multiplication and division.

MA 4.3.3.c Use symbolic representations of the commutative property of multiplication (e.g., 2 * 3 = Δ * 2)

The opportunity to meet this objective is available. For example, see: Do The Math: Multiplication: A Lesson 22 Introduction key math vocabulary: Commutative Property of Multiplication. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, product, and times Lesson 25, 30 Write examples for the Commutative Property of Multiplication



Grade 4


using factors 0 through 6. Lesson 25 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, and product. Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The Math: Multiplication: C Lesson 3 Use the Commutative and Associative Properties of Multiplication. Lesson 3 Introduce key math vocabulary: Commutative Properties of Multiplication and Associative Properties of Multiplication. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.



MA 4.4.3 Probability: Students will find, describe, and compare experimental probabilities.



Grade 5



MA 5.1.1 Number System: Students will represent and show relationships among positive rational numbers.

MA 5.1.1.a Demonstrate multiple equivalent representations for whole numbers and decimals through the thousandths place (e.g., 3.125 is 3 + .1 + .02 + .005)

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Do The Math: Addition and Subtraction: C Lesson 6 Introduce key math vocabulary: expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 6-8 Write numbers to 99 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 9-10 Write numbers to 999 in expanded form Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 18-20, 24, 26-27, 30 Whiteboard Tools: Spinner: generate three-digit numbers, reinforces place value, subtracting three-digit numbers Lesson 21, 25, 30 Write numbers to 9,999 in expanded form. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form,



Grade 5


digit, and place value. MA 5.1.1.b Compare and order whole numbers, fractions, and decimals through the thousandths place

The opportunity to meet this objective is available. For example, see: Do The Math: Fractions: A Lesson 7, 10, 27-28, 30 Compare fractions. Use the benchmark of 1/2. Lesson 19-20 Compare fractions. Do The Math: Fractions: B Lesson 1-5 Compare fractions with common numerators. Lesson 6-8, 21 Compare fractions with common denominators. Lesson 9 Compare unit fractions and fractions with common denominators. Lesson 10, 22-25 Compare fractions with common numerators and common denominators. Lesson 11-15 Compare fractions that are one unit fraction from 1 whole. Lesson 16-19 Compare fractions to 1/2. Lesson 20 Compare fractions using benchmarks, common numerators, common denominators, and fractions one unit fraction from 1 whole. Lesson 26 Compare and order fractions using benchmarks, common numerators, common denominators. Lesson 27-28 Compare and order fractions using benchmarks, common numerators, and common denominators.

MA 5.1.1.c Identify and name fractions in their simplest form and find common denominators for fractions

Do The Math: Fractions: C Lesson 1 Introduce key math vocabulary: lowest terms and simplest form. Lesson 1 Communicate ideas with key math vocabulary: lowest terms and simplest form. Lesson 2 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, and improper fraction. Lesson 1-5, 7, 9 Rename fractions in simplest form Lesson 3-5, 9 Communicate ideas with key math vocabulary: lowest terms, simplest form, and estimate. Lesson 7 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, and estimate. Lesson 10-13, 15-25, 27-28, 30, Rename fractions in lowest terms or simplest form



Grade 5


Lesson 16 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, improper fraction, and sequence. Lesson 18 Communicate ideas with key math vocabulary: lowest terms, simplest form, estimate, and sequence. Lesson 19 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, estimate, and sequence. Lesson 28 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, and sequence. Lesson 29 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, improper fraction, estimate, and sequence.

MA 5.1.1.d Recognize and generate equivalent forms of commonly used fractions, decimals, and percents (e.g., one third, one fourth, one half, two thirds, three fourths)

The opportunity to meet this objective is available. For example, see: Do The Math: Fractions: A Lesson 1-2, 5, 8-12, 14-15, 21, 23-25, 27 Identify equivalent fractions. Lesson 7 Introduce key math vocabulary: equivalent, equals, is less than, and is greater than. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 9 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 10 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 14 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equivalent, mixed number and improper fraction. Lesson 15 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equation, equivalent, mixed number and improper fraction. Lesson 20 Communicate ideas with key math vocabulary: one-half, one-fourth, one-eighth, equivalent, is less than, is greater than, mixed number and improper fraction. Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-



Grade 5


twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 27 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, denominator, equivalent, equals, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 29 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction, denominator, equation, equivalent, equals, is less than, is greater than, mixed number, one-third, one-sixth, and one-twelfth. Do The Math: Fractions: B Lesson 2, 5 Communicate ideas with key math vocabulary: common numerator, unit fraction, and equivalent Lesson 2-5, 20-21, 25-28, 30 Identify equivalent fractions. Lesson 4 Introduce key math vocabulary: equivalent. Lesson 4 Communicate ideas with key math vocabulary: equivalent. Lesson 12-19 Identify fractions equivalent to 1/2. Lesson 12 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, and equivalent. Lesson 13-14 Communicate ideas with key math vocabulary: numerator, denominator, and equivalent. Lesson 15 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, improper fraction, and equivalent. Lesson 16, 21 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, equivalent, and common denominator. Lesson 17 Communicate ideas with key math vocabulary: denominator, unit fraction, equivalent, and common denominator. Lesson 18 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, and equivalent. Lesson 22 Identify fractions equivalent to 1/3. Lesson 22-25 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, equivalent, and common



Grade 5


Lesson 23 Identify fractions equivalent to 1/4. Lesson 24 Identify fractions equivalent to 1/2 and 1/3. Lesson 28 Communicate ideas with key math vocabulary: common numerator, equivalent, and common denominator. Lesson 30 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, equivalent, and common denominator. Do The Math: Fractions: C Lesson 1-9 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 4-6, 8-15, 17-25, 30 Identify and generate equivalent fractions.

MA 5.1.1.f Identify factors and multiples of any whole number

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 18 Introduce key math vocabulary: multiples of 10. Lesson 18 Communicate ideas with key math vocabulary: add, equation, plus, equals, and multiples of 10. Lesson 19, 22-23 Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of 10. Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, sum, addend, and multiples of 10. Do The Math: Multiplication: A Lesson 16 Introduce key math vocabulary: factor, multiply, and product. Lesson 16 Communicate ideas with key math vocabulary: factor, multiplication, multiplication equation, multiply, product, and times. Lesson 17-18, 21 Communicate ideas with key math vocabulary: factor, multiplication equation, product, and times. Lesson 20 Communicate ideas with key math vocabulary: factor, multiplication equation, and product. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication,



Grade 5


multiplication equation, product, and times. Lesson 25 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, and product. Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The Math: Multiplication: B Lesson 1 Introduce key math vocabulary: multiplication equation, factor, and product. Lesson 1 Communicate ideas with key math vocabulary: multiplication, equation, factor, and product. Lesson 2-5, 9-11, 22 Communicate ideas with key math vocabulary: multiplication equation, factor, and product. Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 8 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and Commutative Property of Multiplication. Lesson 12 Introduce key math vocabulary: multiple. Lesson 12, 14 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 13, 16-17, 23 Communicate ideas with key math vocabulary: factor and product. Lesson 20 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and square number. Lesson 21 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, and multiple. Lesson 24 Communicate ideas with key math vocabulary: factor, product, and Zero Property of Multiplication. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The Math: Multiplication: C Lesson 2 Introduce key math vocabulary: factor and product. Lesson 2, 4-15, 17 Communicate ideas with key math vocabulary: factor and



Grade 5


product. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 16 Introduce key math vocabulary: multiple Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

MA 5.1.1.g Round whole numbers and decimals to any given place

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: C Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand. Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Lesson 29 Introduce key math vocabulary: rounded number. Lesson 29 Communicate ideas with key math vocabulary: digit and rounded number.

MA 5.1.2 Operations: Students will demonstrate the meaning of arithmetic operations with whole numbers.

MA 5.1.2.b Use words and symbols to explain the meaning of the commutative and associative properties of addition and multiplication

Do The Math: Addition and Subtraction: C Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Do The Math: Multiplication: A Lesson 22 Introduction key math vocabulary: Commutative Property of



Grade 5


Multiplication. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, product, and times Lesson 25, 30 Write examples for the Commutative Property of Multiplication using factors 0 through 6. Lesson 25 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, and product. Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The Math: Multiplication: C Lesson 3 Use the Commutative and Associative Properties of Multiplication. Lesson 3 Introduce key math vocabulary: Commutative Properties of Multiplication and Associative Properties of Multiplication. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

MA 5.1.2.c Use words and symbols to explain the distributive property of multiplication over addition (e.g., 5 (y + 2) = 5y + 5 x 2)

The opportunity to meet this objective is available. For example, see: Do The Math: Multiplication: A Lesson 1-4, 19, 22 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Do The Math: Multiplication: B Lesson 3-4, 7-9, 16-17, 19, 27-28 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Do The Math: Multiplication: C Lesson 1, 6 Whiteboard Tools: Drawing Tool: combining equal groups, show



Grade 5


Distributive Property geometrically Lesson 1, 6-8, 10, 17-20, 22-28, 30 Use the Distributive Property of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication.


MA 5.1.3.a Add and subtract positive rational numbers (e.g., proper and improper fractions, mixed numbers, fractions with common and uncommon denominators, decimals through the thousandths place)

The opportunity to meet this objective is available. For example, see: Do The Math: Fractions: A Lesson 4-5, 11-13, 15, 22, 24-25 Add fractions. Do The Math: Fractions: C Lesson 1 Add fractions with like denominators. Lesson 2 Subtract fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 3-5, 7, 9-10, 18-20 Make estimates for sums and differences of fractions with unlike denominators. Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 23-24 Subtract fractions with unlike denominators. Lesson 23 Make estimates for answers when subtracting fractions with unlike denominators. Lesson 25 Make estimates for answers when adding or subtracting fractions with unlike denominators.

MA 5.1.3.b Select, apply and explain the appropriate method of computation when problem solving (e.g., models, mental computation, paper-pencil, technology)

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6



Grade 5


Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 21-26 Identify pairs of numbers with sums of 100. Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25



Grade 5


Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors.



Grade 5


Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.



Grade 5



MA 5.1.4.a Estimate the sums and differences of positive rational numbers to check the reasonableness of such results

Do The Math: Addition and Subtraction: C Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand.


MA 5.2.1 Characteristics: Students will describe relationships among two-dimensional shapes and three-dimensional objects.

MA 5.2.2 Coordinate Geometry: Students will identify locations using coordinate geometry.

MA 5.2.3 Transformations: Students will identify and use simple transformations.

MA 5.2.4 Spatial Modeling: Students will create and use geometric models to solve problems.

MA 5.2.5 Measurement: Students will apply appropriate procedures, tools, and formulas to determine measurements using customary and metric units.


MA 5.3.1 Relationships: Students will represent, analyze, and generalize relationships.

MA 5.3.1.c Communicate relationships using expressions and equations

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1, 2, 4, 7-8, 13, 21, 24, 26 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, and sum. Lesson 2



Grade 5


Introduce key math vocabulary: add, addition, equation, plus, equals, and sum. Lesson 3, 5 Communicate ideas with key math vocabulary: addition, equation, plus, equals, and sum. Lesson 9, 16, 20 Communicate ideas with key math vocabulary: add, equation, plus, equals, and sum. Lesson 10-11, 17 Communicate ideas with key math vocabulary: add, equation plus, and equals Lesson 12 Communicate ideas with key math vocabulary: equation plus, and equals Lesson 15 Communicate ideas with key math vocabulary: add, addition, equation, plus, and equals. Lesson 18 Communicate ideas with key math vocabulary: add, equation, plus, equals, and multiples of 10. Lesson 19, 22-23 Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of 10. Lesson 25 Communicate ideas with key math vocabulary: addition, equation, plus and equals. Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and addend. Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, sum, addend, and multiples of 10. Do The Math: Addition and Subtraction: B Lesson 1, 25 Communicate ideas with key math vocabulary: subtraction, subtraction equation, and minus Lesson 3, 5-6, 11-12, 14 Communicate ideas with key math vocabulary: subtract, subtraction equation, and minus. Lesson 4 Introduce key math vocabulary: subtract, subtraction, subtraction equation, minus, and difference Lesson 4, 29 Communicate ideas with key math vocabulary: subtract, subtraction, subtraction equation, minus, and difference Lesson 8 Communicate ideas with key math vocabulary: subtract and subtraction equation. Lesson 9, 15 Communicate ideas with key math vocabulary: subtraction equation. Lesson 16, 17, 26



Grade 5


Communicate ideas with key math vocabulary: subtraction, subtraction equation, minus, and difference. Lesson 18 Communicate ideas with key math vocabulary: subtraction equation and difference. Lesson 19-21 Communicate ideas with key math vocabulary: subtraction equation, minus, and difference Lesson 21-26 Communicate ideas with key math vocabulary: subtraction equation and minus. Lesson 24 Communicate ideas with key math vocabulary: subtract, subtraction, subtraction equation, and minus. Do The Math: Addition and Subtraction: C Lesson 1-5, 7-8, 11-15, 17 Communicate ideas with key math vocabulary: equation. Lesson 10 Introduce key math vocabulary: equation. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Do The Math: Multiplication: A Lesson 2 Introduce key math vocabulary: equal, multiplication, multiplication equation, and times. Lesson 2, 26-27 Communicate ideas with key math vocabulary: equal, multiplication, multiplication equation, and times. Lesson 3-4, 8-9, 11-15, 28-29 Communicate ideas with key math vocabulary: equal, multiplication equation, and times. Lesson 5, 10 Communicate ideas with key math vocabulary: multiplication equation. Lesson 16 Communicate ideas with key math vocabulary: factor, multiplication, multiplication equation, multiply, product, and times. Lesson 19, 24 Communicate ideas with key math vocabulary: multiplication equation and times. Lesson 20 Communicate ideas with key math vocabulary: factor, multiplication equation, and product. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative



Grade 5


Property of Multiplication, equal, factor, multiplication, multiplication equation, product, and times Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The Math: Multiplication: B Lesson 1 Introduce key math vocabulary: multiplication equation, factor, and product. Lesson 1 Communicate ideas with key math vocabulary: multiplication, equation, factor, and product. Lesson 6-7, 27-28, 30 Communicate ideas with key math vocabulary: multiplication equation and product. Lesson 8 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and Commutative Property of Multiplication Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 20 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and square number. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Lesson 29 Communicate ideas with key math vocabulary: multiplication equation, factor and product. Do The Math: Division: B Lesson 1 Introduce key math vocabulary: division equation. Lesson 1, 10, 12 Communicate ideas with key math vocabulary: division equation. Lesson 2 Communicate ideas with key math vocabulary: division equation, dividend, divisor, and quotient. Lesson 3, 16-19, 29 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, remainder, and divisible. Lesson 4-6, 13, 27 Communicate ideas with key math vocabulary: division equation and divisible. Lesson 7 Communicate ideas with key math vocabulary: division equation, remainder, and divisible.



Grade 5


Lesson 8-9 Communicate ideas with key math vocabulary: division equation, divisible, and remainder. Lesson 14-15 Communicate ideas with key math vocabulary: division equation, dividend, and divisible. Lesson 20 Communicate ideas with key math vocabulary: division equation, quotient, and remainder. Lesson 25-26 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, and remainder. Lesson 30 Communicate ideas with key math vocabulary: division equation and remainder Do The Math: Division: C Lesson 1 Introduce key math vocabulary: division equation, dividend, divisor, quotient, and remainder. Lesson 1 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, and remainder. Lesson 3 Communicate ideas with key math vocabulary: division equation, remainder, and divisible Lesson 5 Communicate ideas with key math vocabulary: division equation Lesson 29 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, remainder, and divisible. Do The Math: Fractions: A Lesson 6 Introduce key math vocabulary: equation

MA 5.3.2 Modeling in Context: Students will create, use, and compare models representing mathematical situations.

MA 5.3.2.c Compare different models to represent mathematical situations

The opportunity to meet this objective is available. For example, see: Do The Math: Multiplication: A Lesson 1 Combine equal groups Lesson 2-5, 8-10, 19 Represent combining equal groups with related addition and multiplication equations. Lesson 6-7 Identify examples of equal groups. Lesson 9 Represent equal groups with rows of tiles. Lesson 9 Whiteboard Tools: Tiles



Grade 5


Lesson 21-22, 24 Represent combining equal rows with multiplication equations. Do The Math: Multiplication: B Lesson 1-2 Represent arrangements of equal rows with multiplication equations. Lesson 3-4, 7, 16 Represent arrangements of equal rows and rectangles with multiplication equations. Lesson 5-6, 8-11, 17, 20, 27-28 Represent rectangles with multiplication equations. Do The Math: Division: A Lesson 2-4, 6-9, 11-15, 21-24, 26, 29-30 Whiteboard Tools: Grouping and Sharing Tool Do The Math: Division: B Lesson 6-8, 10 Represent sharing situations as division. Lesson 6-8, 13 Whiteboard Tools: Grouping and Sharing Tool

MA 5.3.3 Procedures: Students will apply properties of simple positive rational numbers to solve one-step equations.

MA 5.3.3.b Use symbolic representations of the associative property (e.g., (2 + 3) + 4 = 2 + (3 + n), (2 * 3) * 4 = 2 * (3 * n))

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: C Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Do The Math: Multiplication: C Lesson 3 Use the Commutative and Associative Properties of Multiplication. Lesson 3 Introduce key math vocabulary: Commutative Properties of Multiplication and Associative Properties of Multiplication. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

MA 5.4 Students will communicate data analysis/probability concepts



Grade 5


using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines. MA 5.4.1 Display and Analysis: Students will organize, display, compare, and interpret data.

MA 5.4.2 Predictions and Inferences: Students will construct predictions based on data.

MA 5.4.3 Probability: Students will determine theoretical probabilities.



Grade 6



MA 6.1.1 Number System: Students will represent and show relationships among positive rational numbers and integers.

MA 6.1.2 Operations: Students will demonstrate the meaning of arithmetic operations with positive fractions and decimals.

MA 6.1.2.a Use drawings, words, and symbols to explain the meaning of addition and subtraction of fractions

The opportunity to meet this objective is available. For example, see: Do The Math: Fractions: A Lesson 4-5, 11-13, 15, 22, 24-25 Add fractions. Do The Math: Fractions: C Lesson 1 Add fractions with like denominators. Lesson 2 Subtract fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 3-5, 7, 9-10, 18-20 Make estimates for sums and differences of fractions with unlike denominators. Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 23-24 Subtract fractions with unlike denominators. Lesson 23 Make estimates for answers when subtracting fractions with unlike denominators. Lesson 25 Make estimates for answers when adding or subtracting fractions with unlike denominators.


MA 6.1.3.a Multiply and divide positive rational numbers

Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping



Grade 6


Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 18 Introduce key math vocabulary: estimate. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A



Grade 6


Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

MA 6.1.3.b Select and apply the appropriate method of computation when problem solving (e.g., models, mental computation, paper-pencil, technology, divisibility rules)

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally The opportunity to meet this objective is available. For example, see:



Grade 6


Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 21-26 Identify pairs of numbers with sums of 100. Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers.



Grade 6


Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12



Grade 6


Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends



Grade 6


and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.


MA 6.1.4.a Use appropriate estimation methods to check the reasonableness of solutions for problems involving positive rational numbers

Do The Math: Addition and Subtraction: C Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand. Do The Math: Multiplication: C Lesson 18-20, 22-23, 26-28, 30 Make estimates of products. Do The Math: Fractions: A Lesson 4-5, 11-13, 15, 22, 24-25 Add fractions. Do The Math: Fractions: C Lesson 1 Add fractions with like denominators. Lesson 2 Subtract fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 3-5, 7, 9-10, 18-20 Make estimates for sums and differences of fractions with unlike denominators. Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 23-24 Subtract fractions with unlike denominators. Lesson 23 Make estimates for answers when subtracting fractions with unlike denominators. Lesson 25 Make estimates for answers when adding or subtracting fractions with unlike denominators.

MA 6.2 Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make



Grade 6


connections within mathematics and across disciplines. MA 6.2.1 Characteristics: Students will compare and contrast properties among two-dimensional shapes and among three-dimensional objects.

MA 6.2.2 Coordinate Geometry: Students will label points using coordinate geometry.

MA 6.2.3 Transformations: Students will use and describe results of transformations on geometric shapes.

MA 6.2.4 Spatial Modeling: Students will use visualization of geometric models to solve problems.

MA 6.2.5 Measurement: Students will apply appropriate procedures, tools, and formulas to determine measurements.


MA 6.3.1 Relationships: Students will represent, analyze, and use relationships to make generalizations.

MA 6.3.2 Modeling in Context: Students will create, use, and interpret models of quantitative relationships.

MA 6.3.3 Procedures: Students will apply properties to solve equations.



MA 6.4.2 Predictions and Inferences: Students will construct predictions based on data.



Grade 6


MA 6.4.3 Probability: Students will apply basic concepts of probability.



Grade 7



MA 7.1.1 Number System: Students will represent and show relationships among rational numbers.

MA 7.1.2 Operations: Students will demonstrate the meaning of arithmetic operations with positive fractions, decimals, and integers.

MA 7.1.2.c Use drawings, words, and symbols to explain the addition and subtraction of integers

Do The Math: Addition and Subtraction: A Lesson 1, 2, 4, 7-8, 13, 21, 24, 26 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, and sum. Lesson 2 Introduce key math vocabulary: add, addition, equation, plus, equals, and sum. Lesson 3, 5 Communicate ideas with key math vocabulary: addition, equation, plus, equals, and sum. Lesson 4 Introduce key math vocabulary: addend Lesson 9, 16, 20 Communicate ideas with key math vocabulary: add, equation, plus, equals, and sum. Lesson 10-11, 17 Communicate ideas with key math vocabulary: add, equation plus, and equals. Lesson 12 Communicate ideas with key math vocabulary: equation plus, and equals Lesson 15 Communicate ideas with key math vocabulary: add, addition, equation, plus, and equals. Lesson 18 Communicate ideas with key math vocabulary: add, equation, plus, equals, and multiples of 10. Lesson 19, 22-23 Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of 10. Lesson 25 Communicate ideas with key math vocabulary: addition, equation, plus and equals. Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and addend. Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, sum, addend, and multiples of 10.



Grade 7


Do The Math: Addition and Subtraction: B Lesson 1, 25 Communicate ideas with key math vocabulary: subtraction, subtraction equation, and minus. Lesson 3, 5-6, 11-12, 14 Communicate ideas with key math vocabulary: subtract, subtraction equation, and minus. Lesson 4 Introduce key math vocabulary: subtract, subtraction, subtraction equation, minus, and difference. Lesson 4, 29 Communicate ideas with key math vocabulary: subtract, subtraction, subtraction equation, minus, and difference. Lesson 7, 13 Communicate ideas with key math vocabulary: subtract and minus. Lesson 8 Communicate ideas with key math vocabulary: subtract and subtraction equation. Lesson 9, 15 Communicate ideas with key math vocabulary: subtraction equation. Lesson 10 Communicate ideas with key math vocabulary: subtract. Lesson 16, 17, 26 Communicate ideas with key math vocabulary: subtraction, subtraction equation, minus, and difference. Lesson 18 Communicate ideas with key math vocabulary: subtraction equation and difference. Lesson 19-21 Communicate ideas with key math vocabulary: subtraction equation, minus, and difference. Lesson 21-26 Communicate ideas with key math vocabulary: subtraction equation and minus. Lesson 23 Communicate ideas with key math vocabulary: subtraction. Lesson 24 Communicate ideas with key math vocabulary: subtract, subtraction, subtraction equation, and minus. Lesson 27-28, 30 Communicate ideas with key math vocabulary: difference.


MA 7.1.3.a Compute accurately with integers

Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts,



Grade 7


adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 21-26 Identify pairs of numbers with sums of 100. Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Write numbers to 99 in expanded form Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20



Grade 7


Calculate sums and differences of two- and three-digit numbers. Lesson 21, 25, 30 Write numbers to 9,999 in expanded form Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 27 Read and write numbers to 99,999 Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand Lesson 30 Read and write numbers to 999,999 Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6



Grade 7


Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 18 Introduce key math vocabulary: estimate. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors.



Grade 7


Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

MA 7.1.3.b Select, apply, and explain the method of computation when problem solving using integers and positive rational numbers (e.g., models, mental computation, paper-pencil, technology, divisibility rules)

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value



Grade 7


and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 21-26 Identify pairs of numbers with sums of 100. Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B



Grade 7


Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2.



Grade 7


Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.


MA 7.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving integers and positive rational numbers

Do The Math: Addition and Subtraction: C Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand. Do The Math: Multiplication: C Lesson 18-20, 22-23, 26-28, 30 Make estimates of products. Do The Math: Fractions: A Lesson 4-5, 11-13, 15, 22, 24-25 Add fractions. Do The Math: Fractions: C Lesson 1



Grade 7


Add fractions with like denominators. Lesson 2 Subtract fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 3-5, 7, 9-10, 18-20 Make estimates for sums and differences of fractions with unlike denominators. Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 23-24 Subtract fractions with unlike denominators. Lesson 23 Make estimates for answers when subtracting fractions with unlike denominators. Lesson 25 Make estimates for answers when adding or subtracting fractions with unlike denominators.


MA 7.2.1 Characteristics: Students will describe, compare, and contrast characteristics, properties, and relationships of geometric shapes and objects.

MA 7.2.2 Coordinate Geometry: Students will specify locations and describe relationships using coordinate geometry.

MA 7.2.3 Transformations: Students will use transformations and symmetry to analyze geometric shapes.

MA 7.2.4 Spatial Modeling: Students will use visualization to create geometric models in solving problems.

MA 7.2.5 Measurement: Students will select and apply appropriate procedures, tools, and formulas to determine measurements.

MA 7.3 Students will communicate algebraic concepts using multiple



Grade 7


representations to reason, solve problems, and make connections within mathematics and across disciplines. MA 7.3.1 Relationships: Students will represent and analyze relationships using algebraic symbols.


MA 7.3.3 Procedures: Students will apply properties to solve equations and inequalities.

MA 7.3.3.a Explain additive inverse of addition (e.g., 7 + -7 = 0)

Do The Math: Addition and Subtraction: B Lesson 1-2, 6-7, 19-27, 30 Use the inverse relationship of addition and subtraction to calculate sums and differences.

MA 7.3.3.b Use symbolic representation of the distributive property (e.g., 2(x + 3) = 2x + 6)

Do The Math: Multiplication: C Lesson 1, 6-8, 10, 17-20, 22-28, 30 Use the Distributive Property of Multiplication. The opportunity to meet this objective is available. For example, see: Do The Math: Multiplication: A Lesson 1-4, 19, 22 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Do The Math: Multiplication: B Lesson 3-4, 7-9, 16-17, 19, 27-28 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Do The Math: Multiplication: C Lesson 1, 6 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 1, 6-8, 10, 17-20, 22-28, 30 Use the Distributive Property of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication.


MA 7.4.1 Display and Analysis: Students will formulate questions that can be addressed with data and then organize, display, and



Grade 7


analyze the relevant data to answer their questions. MA 7.4.2 Predictions and Inferences: Students will evaluate predictions and make inferences based on data.

MA 7.4.3 Probability: Students will apply and interpret basic concepts of probability.



Grade 8



MA 8.1.1 Number System: Students will represent and show relationships among real numbers.

MA 8.1.2 Operations: Students will demonstrate the meaning of arithmetic operations with integers.

MA 8.1.2.a Use drawings, words, and symbols to explain the meaning of addition, subtraction, multiplication, and division of integers.

Do The Math: Addition and Subtraction: A Lesson 1, 2, 4, 7-8, 13, 21, 24, 26 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, and sum. Lesson 2 Introduce key math vocabulary: add, addition, equation, plus, equals, and sum. Lesson 3, 5 Communicate ideas with key math vocabulary: addition, equation, plus, equals, and sum. Lesson 4 Introduce key math vocabulary: addend Lesson 9, 16, 20 Communicate ideas with key math vocabulary: add, equation, plus, equals, and sum. Lesson 10-11, 17 Communicate ideas with key math vocabulary: add, equation plus, and equals. Lesson 12 Communicate ideas with key math vocabulary: equation plus, and equals Lesson 15 Communicate ideas with key math vocabulary: add, addition, equation, plus, and equals. Lesson 18 Communicate ideas with key math vocabulary: add, equation, plus, equals, and multiples of 10. Lesson 19, 22-23 Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of 10. Lesson 25 Communicate ideas with key math vocabulary: addition, equation, plus and equals. Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and addend. Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, sum, addend, and multiples of 10.



Grade 8


Do The Math: Addition and Subtraction: B Lesson 1, 25 Communicate ideas with key math vocabulary: subtraction, subtraction equation, and minus. Lesson 3, 5-6, 11-12, 14 Communicate ideas with key math vocabulary: subtract, subtraction equation, and minus. Lesson 4 Introduce key math vocabulary: subtract, subtraction, subtraction equation, minus, and difference. Lesson 4, 29 Communicate ideas with key math vocabulary: subtract, subtraction, subtraction equation, minus, and difference. Lesson 7, 13 Communicate ideas with key math vocabulary: subtract and minus. Lesson 8 Communicate ideas with key math vocabulary: subtract and subtraction equation. Lesson 9, 15 Communicate ideas with key math vocabulary: subtraction equation. Lesson 10 Communicate ideas with key math vocabulary: subtract. Lesson 16, 17, 26 Communicate ideas with key math vocabulary: subtraction, subtraction equation, minus, and difference. Lesson 18 Communicate ideas with key math vocabulary: subtraction equation and difference. Lesson 19-21 Communicate ideas with key math vocabulary: subtraction equation, minus, and difference. Lesson 21-26 Communicate ideas with key math vocabulary: subtraction equation and minus. Lesson 23 Communicate ideas with key math vocabulary: subtraction. Lesson 24 Communicate ideas with key math vocabulary: subtract, subtraction, subtraction equation, and minus. Lesson 27-28, 30 Communicate ideas with key math vocabulary: difference. Do The Math: Multiplication: A Lesson 1 Communicate ideas with key math vocabulary: multiplication. Lesson 2 Introduce key math vocabulary: equal, multiplication, multiplication equation, and times. Lesson 2, 26-27 Communicate ideas with key math vocabulary: equal,



Grade 8


multiplication, multiplication equation, and times. Lesson 3-4, 8-9, 11-15, 28-29 Communicate ideas with key math vocabulary: equal, multiplication equation, and times. Lesson 5, 10 Communicate ideas with key math vocabulary: multiplication equation Lesson 16 Introduce key math vocabulary: factor, multiply, and product. Lesson 16 Communicate ideas with key math vocabulary: factor, multiplication, multiplication equation, multiply, product, and times. Lesson 17-18, 21 Communicate ideas with key math vocabulary: factor, multiplication equation, product, and times Lesson 19, 24 Communicate ideas with key math vocabulary: multiplication equation and times. Lesson 20 Communicate ideas with key math vocabulary: factor, multiplication equation, and product. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, product, and times. Lesson 25 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, and product. Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The Math: Multiplication: B Lesson 1 Introduce key math vocabulary: multiplication equation, factor, and product. Lesson 1 Communicate ideas with key math vocabulary: multiplication, equation, factor, and product. Lesson 2-5, 9-11, 22 Communicate ideas with key math vocabulary: multiplication equation, factor, and product. Lesson 6-7, 27-28, 30 Communicate ideas with key math vocabulary: multiplication equation and product. Lesson 8 Communicate ideas with key math vocabulary: multiplication



Grade 8


equation, factor, product, and Commutative Property of Multiplication. Lesson 12, 14 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 13, 16-17, 23 Communicate ideas with key math vocabulary: factor and product. Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 18 Communicate ideas with key math vocabulary: factor, product, and square number. Lesson 19 Communicate ideas with key math vocabulary: product and square number. Lesson 20 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and square number. Lesson 21 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, and multiple Lesson 24 Communicate ideas with key math vocabulary: factor, product, and Zero Property of Multiplication. Lesson 25 Communicate ideas with key math vocabulary: product. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Lesson 29 Communicate ideas with key math vocabulary: multiplication equation, factor and product. Do The Math: Multiplication: C Lesson 2 Introduce key math vocabulary: factor and product. Lesson 2, 4-15, 17 Communicate ideas with key math vocabulary: factor and product. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate.



Grade 8


Lesson 25, 30 Communicate ideas with key math vocabulary: product and estimate Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate. Do The Math: Division: A Lesson 1 Represent division as a÷b=c Lesson 1-3, 6 Communicate ideas with key math vocabulary: divide and division. Lesson 2-10

Represent division in three different ways a÷b=c; a/b=c; . Lesson 2 Introduce key vocabulary: divide and division Lesson 4-5, 7-11 Communicate ideas with key math vocabulary: divide, division, and remainder Lesson 12 Introduce key vocabulary: quotient Lesson 12-17 Communicate ideas with key math vocabulary: divide, division, remainder, and quotient. Lesson 18 Introduce key vocabulary: divisor. Lesson 18-30 Communicate ideas with key math vocabulary: divide, division, remainder, quotient, and divisor. Do The Math: Division: B Lesson 1 Introduce key math vocabulary: division equation. Lesson 1, 10, 12 Communicate ideas with key math vocabulary: division equation. Lesson 2 Introduce key math vocabulary: dividend, divisor, and quotient. Lesson 2 Communicate ideas with key math vocabulary: division equation, dividend, divisor, and quotient. Lesson 3 Introduce key math vocabulary: remainder and divisible. Lesson 3, 16-19, 29 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, remainder, and divisible. Lesson 4-6, 13, 27 Communicate ideas with key math vocabulary: division equation and divisible Lesson 6-8, 10



Grade 8


Represent sharing situations as division. Lesson 7 Communicate ideas with key math vocabulary: division equation, remainder, and divisible. Lesson 8-9 Communicate ideas with key math vocabulary: division equation, divisible, and remainder. Lesson 14-15 Communicate ideas with key math vocabulary: division equation, dividend, and divisible Lesson 20 Communicate ideas with key math vocabulary: division equation, quotient, and remainder. Lesson 21-24, 28 Communicate ideas with key math vocabulary: dividend, divisor, quotient, and remainder. Lesson 25-26 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, and remainder Lesson 30 Communicate ideas with key math vocabulary: division equation and remainder Do The Math: Division: C Lesson 1 Introduce key math vocabulary: division equation, dividend, divisor, quotient, and remainder. Lesson 1 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, and remainder Lesson 2 Communicate ideas with key math vocabulary: dividend, divisor, quotient, remainder, and divisible Lesson 3 Communicate ideas with key math vocabulary: division equation, remainder, and divisible Lesson 5 Communicate ideas with key math vocabulary: division equation. Lesson 8-9, 13, 18-19, 23-24 Communicate ideas with key math vocabulary: dividend, divisor, quotient, and remainder Lesson 17, 27 Communicate ideas with key math vocabulary: quotient and remainder. Lesson 21 Communicate ideas with key math vocabulary: dividend, divisor, quotient and remainder. Lesson 22 Communicate ideas with key math vocabulary: dividend and remainder. Lesson 25, 30 Communicate ideas with key math vocabulary: dividend, divisor,



Grade 8


and remainder Lesson 26 Communicate ideas with key math vocabulary: divisor, quotient, and remainder Lesson 29 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, remainder, and divisible.

MA 8.1.2.b Use words and symbols to explain the zero property of multiplication (e.g., if ab = 0 then a or b or both must be zero)

Do The Math: Multiplication: A Lesson 18, 20, 25, 30 Calculate the product when one factor is 0. Do The Math: Multiplication: B Lesson 24 Introduce key math vocabulary: Zero Property of Multiplication Lesson 24 Communicate ideas with key math vocabulary: factor, product, and Zero Property of Multiplication.


MA 8.1.3.a Compute accurately with rational numbers

Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting



Grade 8


Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 21-26 Identify pairs of numbers with sums of 100. Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Write numbers to 99 in expanded form Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 21, 25, 30 Write numbers to 9,999 in expanded form Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 27 Read and write numbers to 99,999 Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand Lesson 30 Read and write numbers to 999,999 Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property,



Grade 8


multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 18 Introduce key math vocabulary: estimate. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors



Grade 8


Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors. Do The Math: Fractions: A Lesson 4-5, 11-13, 15, 22, 24-25 Add fractions. Do The Math: Fractions: C Lesson 1



Grade 8


Add fractions with like denominators. Lesson 2 Subtract fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 3-5, 7, 9-10, 18-20 Make estimates for sums and differences of fractions with unlike denominators. Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 23-24 Subtract fractions with unlike denominators. Lesson 23 Make estimates for answers when subtracting fractions with unlike denominators. Lesson 25 Make estimates for answers when adding or subtracting fractions with unlike denominators.

MA 8.1.3.c Calculate squares of integers, the square roots of perfect squares, and the square roots of whole numbers using technology

Do The Math: Multiplication: B Lesson 17 Introduce key math vocabulary: square number. Lesson 18 Communicate ideas with key math vocabulary: factor, product, and square number. Lesson 19 Communicate ideas with key math vocabulary: product and square number. Lesson 20 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and square number. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number.

MA 8.1.3.d Select, apply, and explain the method of computation when problem solving using rational numbers (e.g., models, mental computation, paper-pencil, technology, divisibility rules)

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10



Grade 8


Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 21-26 Identify pairs of numbers with sums of 100. Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25



Grade 8


Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors



Grade 8


Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

MA 8.1.4 Estimation: Students will estimate and check



Grade 8


reasonableness of answers using appropriate strategies and tools. MA 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers

Do The Math: Addition and Subtraction: C Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand. Do The Math: Multiplication: C Lesson 18-20, 22-23, 26-28, 30 Make estimates of products. Do The Math: Fractions: A Lesson 4-5, 11-13, 15, 22, 24-25 Add fractions. Do The Math: Fractions: C Lesson 1 Add fractions with like denominators. Lesson 2 Subtract fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 3-5, 7, 9-10, 18-20 Make estimates for sums and differences of fractions with unlike denominators. Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 23-24 Subtract fractions with unlike denominators. Lesson 23 Make estimates for answers when subtracting fractions with unlike denominators. Lesson 25 Make estimates for answers when adding or subtracting fractions with unlike denominators.


MA 8.2.1 Characteristics: Students will describe, compare, and contrast characteristics, properties, and relationships of



Grade 8


geometric shapes and objects. MA 8.2.2 Coordinate Geometry: Students will specify locations and describe relationships using coordinate geometry.

MA 8.2.3 Transformations: Students will perform transformations and use them to analyze the orientation and size of geometric shapes.

MA 8.2.4 Spatial Modeling: Students will use visualization, spatial reasoning, and geometric modeling to solve problems.

MA 8.2.5 Measurement: Students will select and apply appropriate procedures, tools, and formulas to determine measurements.


MA 8.3.1 Relationships: Students will represent and analyze relationships using algebraic symbols.


MA 8.3.3 Procedures: Students will apply properties to solve equations and inequalities.


MA 8.4.1 Display and Analysis: Students will formulate questions that can be addressed with data, and then organize, display, and analyze the relevant data to answer their questions.

MA 8.4.2 Predictions and Inferences: Students will evaluate predictions and make inferences based on data.

MA 8.4.3 Probability: Students will



Grade 8


apply and interpret basic concepts of probability.


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