Volume 1 Fall 2017

KINDERGARTEN MODULE 2: COUNTING AND CARDINALITY

Vocabulary: compare compare/alike & different count equal to/same number greater than/more “how many?” less than/fewer match match/pair “one more” same number set write number words: zero one two three four five MAFS.K.CC.1.1: Count to 100 by ones and by tens.

MAFS.K.CC.1.2: Count forward beginning from a given number

Math Parent Letter The purpose of this newsletter is to give parents a better understanding of the math concepts taught in each Module. We want to make the connection at home by providing the strategies used in the classroom. This will facilitate help

with homework, review and assessments to ensure academic progress during this year.

Example:

Begin with 11 and count forward to 40. Mark the missing number that completes the order.

MAFS.K.CC.2.4: Understand the relationship between numbers and quantities; connecting counting to cardinality.

MAFS.K.CC.2.5: Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1-20, count out that many objects.

Example:

Count how many fish. Write the number.

MAFS.K.CC.3.6: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g.., by using matching and counting strategies.

MAFS.K.CC.3.7: Compare two numbers between 1 and 10 presented as written numerals.

Example problem:

Compare the sets by counting. Mark under the set that has a number of counters that is less than the number of counters at the beginning of the row.

FIRST GRADE MODULE 1: MODELING ADDITION AND SUBTRACTION SITUATIONS Vocabulary: plus, +, is equal to, sum, difference, addition sentence, subtraction sentences, addend, order, minus, zero, compare, fewer, more, doubles, doubles plus one, doubles minus one, make a ten

MAFS.1.OA.1.1: Use addition and subtraction within 20 to solve word problems1 involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

MAFS.1.OA.2.4: Understand subtraction as an unknown addend problem. For exam-ple, subtract 10 – 8 by finding the number that makes 10 when added to 8.

MAFS.1.OA.4.7: Understand the meaning of the equal sign, and determine if equa-tionsinvolving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

MAFS.1.OA.4.8: Determine the unknown whole number in an addition orsubtraction equation relating to three whole numbers. For example, determine the unknown number that makes the equation true.

SECOND GRADE MODULE 1: PLACE VALUE CONCEPTS TO 1,000

MAFS.2.OA.3.3-Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

Vocabulary: compare, digits, equal to, expanded form, greater than, hundreds, less than, multiple, number patterns, ones, place value, standard form, tens, word form

MAFS.2.NBT.1.1-Understand that the three digits of a three- digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones.

MAFS.2.NBT.1.2 -Count within 1000; skip-count by 5s, 10s, and 100s.

MAFS.2.NBT.1.3-Read and write numbers to 1000 using base- ten numerals,

MAFS.2.NBT.1.4-Compare two three digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

MAFS.2.NBT.2.8- Mentally add 10 or 100 to a given number 100–900, and mentally subtract 10 or 100 from a given number 100–900.

MAFS.3.NBT.1.3: Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.

THIRD GRADE MODULE 2: OPERATIONS AND ALGEBRAIC THINKING FOR MULIPLICATION Vocabulary: addend, addition, array, equal ,equation, factor, groups, multiple, multiply, combination, pattern, product, sum

MAFS.3.OA.1.1: Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.

MAFS.3.OA.4.9: Identify arithmetic patterns(including patterns in the addition table or multiplica-tion table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal ad-dends.

MAFS.4.OA.1.1: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

FOURTH GRADE MODULE 2: MULTI-DIGIT MULTIPLICATION

MAFS.4.OA.1.a: Determine whether an equation is true or false by using comparative relational thinking. For example, without adding 60 and 24, determine whether the equation 60 + 24 = 57 + 27 is true or false.

Third grade cont.

MAFS.4.OA.1.b: Determine the unknown whole number in an equation relating four whole num-bers using comparative relational thinking. For example, solve 76 + 9 = n + 5 for n by arguing that nine is four more than five, so the unknown number must be four greater than 76. MAFS.4.OA.1.2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

MAFS.4.OA.1.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using

MAFS.4.OA.2.4: Investigate factors and multiples

MAFS.4.NBT.2.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

MAFS.4.MD.1.3: Apply the area and perimeter formulas for rectangles in real world and mathemati-cal problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multipli-cation equation with an unknown factor.

FIFTH GRADE MODULE 2: DIVISION WITH WHOLE NUMBERS

MAFS.5.NBT.2.6: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

The following websites can be used as a resource for parents and

students at home:

https://www.khanacademy.org/

http://www.abcya.com/

http://www.fsagames.com/

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