muskogee public schools curriculum map, 2010 …...e 1 muskogee public schools curriculum map,...

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Muskogee Public Schools

Curriculum Map, 2010-2011

Math, Grade 4

The Test Blueprint reflects the degree to which each PASS Standard and Objective is represented on the test.

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Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use a variety of problem- solving approaches to create, extend, and analyze patterns. (14% on the 2011 OCCT)!

1.1. Discover, describe, extend, and create a wide variety of patterns using tables, graphs, rules, and verbal models (e.g., determine the rule from a table or “function machine,” extend visual and number patterns

1.2. Find variables in simple arithmetic problems by solving open sentences (equations) and other problems involving addition, subtraction, multiplication, and division with whole numbers.

Discover, describe, extend, create, variety, patterns, tables, graphs, rules, verbal, models, “function machine,” extend, visual, number patterns

Please Note Side by Side changes in the P.A.S.S.! http://sde.state.ok.us/Curriculum/CurriculumDiv/Math/pdf/SideBySide/Grade4.pdf

Variables, arithmetic, problems, solve, open sentences, equations, addition, subtraction, multiplication, division, whole numbers

http://sde.state.ok.us/Curriculum/CurriculumDiv/Math/pdf/SideBySide/Grade4.pdf


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1st Nine Weeks

Standard 2: Number Sense and Operations—The student will use numbers and number relationships to acquire basic facts. The student will estimate and compute with whole numbers and fractions. (36% on 2011 OCCT)!

2.1. Number Sense 2.1a. Place Value 2.1a.i Apply the concept of place value through 6 digits (write numbers in expanded form).

2.1a.ii. Model, read, write, and rename decimal numbers to the hundredths (e.g., money, numerals to words).

2.1b. Whole number , Fraction, Decimal 2.1b.i. Compare and order whole numbers and decimals to the hundredths place (e.g., pictures of shaded regions of two-dimensional figures, use <, >, = symbols).

Place value, digits, standard form, expanded form, numbers

Model, read, write, rename, decimal, numbers, hundredths, tenths, periods, decimal point, numerals, expanded notation

Whole numbers, decimals, compare, order, hundredths place, tenths, regions, shaded, two-dimensional, figures, greater than, less than, equal to symbols.

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1st Nine Weeks


2.1b.iii.Compare, add, or subtract fractional parts (fractions with like denominator and decimals) using physical or pictorial models (e.g., egg cartons, fraction strips, circles, and squares).

2.1b.iv. Explore and connect negative numbers using real life situations (e.g., owing money, temperature, elevation above and below sea level). New Skill! Tested at local level. 2.2. Number Sense 2.2b. Division Concepts and Fact Families 2.2b.i. Demonstrate fluency (memorize and apply) with basic division facts up to 144 divided by 12 and the associated multiplication fact s (e.g., 144 divided by 12 = 12, 12 x 12 = 144).

Compare, add, subtract, fractional, parts, denominator, decimals, physical models, pictorial models, circles, squares Explore, connect, negative numbers, integers, number line, absolute value, real life situations Factors, arrays, composite, prime, rectangular, common factors, fact families, fluency, division, multiplication, associated, memorize, apply, demonstrate

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1st Nine Weeks

Standard 3: Geometry—The student will use geometric properties and relationships to analyze shapes and use standard units of customary and metric measurements to solve problems. (18% on 2011 OCCT!)

3.1 Identify, draw, and construct models of intersecting, parallel, and perpendicular lines.

3.2. Identify and compare angles equal to, less than, or greater than 90 degrees (e.g., use right angles to determine the size of other angles).

Identify, draw, construct, models, intersecting, parallel, perpendicular, lines Identify, compare, angles, equal to , less than, greater than, 90 degrees, right angles, size, acute, obtuse

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1st Nine Weeks

Standard 3: Geometry—The student will use geometric properties and relationships to analyze shapes and use standard units of customary and metric measurements to solve problems. (18% on 2011 OCCT!) Standard 4: Measurement--The student will solve problems using appropriate units of measure in a variety of situations. (18% on the 2011 OCCT!)

3.3 Identify, draw, and construct models of regular and irregular polygons including triangles, quadrilaterals, pentagons, hexagons heptagons, and octagons to solve problems. New Skill!

4.1. Measurement 4.1a. Estimate the measures of a variety of objects using customary units.

Identify, draw, construct, models, regular, irregular, polygons, triangles, quadrilaterals, pentagons, hexagons heptagons, octagons Estimate, measure, variety, customary units, feet, pounds, gallons

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1st Nine Weeks

Standard 4: Measurement--The student will solve problems using appropriate units of measure in a variety of situations. (18% on the 2011 OCCT!)

4.1c. Select customary and metric units of measure and measurement instruments to solve application problems involving length, weight, mass, area, and volume.

4.1d. Develop and use the concept of area of different shapes using grids to solve problems. New Skills!

Appropriate, customary, metric, units, measure, measurement, instruments, application, length, weight, mass, area, volume Area, shapes, grids, concept

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1st Nine Weeks


4.2. Time and Temperature 4.2a. Solve elapsed time problems.

4.2b. Read thermometers using different intervals (intervals of 1, 2, or 5) and solve for temperature change.

Time, elapsed, problems Thermometers, temperature, change, Fahrenheit, Celsius

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1st Nine Weeks


4.3. Money: Determine the correct amount of change when a purchase is made with a twenty dollar bill.

Money, dollars, cents, decimal, place value, subtraction, change, purchase, twenty dollar bill Recommended Math resources: Math Tools, Grades 3-12, 64 Ways to differentiate Instruction and Increase Student Engagement, by Harvey F. Silver, 2008 (Excellent tool) http://mathforum.org/dr.math http://www.coolmath.com/teachers/index.html http://nlvm.usu.edu http://www.purplemath.com/ http://mypages.iit.edu/~smile Benchmark 1: Also available to create test is the Test and Item Specification document for 4th grade math: (Please note changed PASS standards) http://sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr4Math.pdf Great resource for state released 4th grade tests: http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_4th_fourth_grade.htm

http://mathforum.org/dr.math

http://www.coolmath.com/teachers/index.html


http://nlvm.usu.edu/

http://www.purplemath.com/

http://mypages.iit.edu/~smile

http://sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr4Math.pdf


http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_4th_fourth_grade.htm



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2nd Nine Weeks


1.1. Discover, describe, extend, and create a wide variety of patterns using tables, graphs, rules, and verbal models (e.g., determine the rule from a table or “function machine,” extend visual and number patterns

Discover, describe, extend, create, variety, patterns, tables, graphs, rules, verbal, models, “function machine,” extend, visual, number patterns

Please Note Side by Side changes in the P.A.S.S.! http://sde.state.ok.us/Curriculum/CurriculumDiv/Math/pdf/SideBySide/Grade4.pdf



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2nd Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use a variety of problem- solving approaches to create, extend, and analyze patterns. (14% on the 2011 OCCT)! Standard 2: Number Sense and Operations—The student will use numbers and number relationships to acquire basic facts. The student will estimate and compute with whole numbers and fractions. (36% on 2011 OCCT)!


1.3. Recognize and apply associative properties of multiplication to solve problems (e.g., 6 x (2x3) = (6x2) x 3).

2.1. Number Sense 2.1a. Place Value 2.1a.i Apply the concept of place value through 6 digits (write numbers in expanded form).


Associative properties, multiplication, parentheses, solve, problems Place value, digits, standard form, expanded form, numbers

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2nd Nine Weeks




2.1b. ii. Use 0, ½, and 1 or 0, 0.5, and 1 as benchmarks and place additional fractions, decimals, or percents on a number line (e.g., 1/3, ¾, 0.7, 0.4, 62%. 12%).

Model, read, write, rename, decimal, numbers, hundredths, tenths, periods, decimal point, numerals, expanded notation

Whole numbers, decimals, compare, order, hundredths place, tenths, regions, shaded, two-dimensional, figures, greater than, less than, equal to symbols. Rational numbers, fractions, decimals, number line, percents, whole numbers, real numbers

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2nd Nine Weeks

Standard 2: Number Sense and Operations—The student will use numbers and number relationships to acquire basic facts. The student will estimate and compute with whole numbers and fractions. (36% on 2011 OCCT)! .


2.2. Number Sense 2.2a. Estimate and find the product of up to three-digit by three-digit numbers using a variety of strategies to solve application problems.

Compare, add, subtract, fractional, parts, denominator, decimals, physical models, pictorial models, circles, squares Estimate, product, three-digit, numbers, strategies, application problems

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2nd Nine Weeks


2.2b. Division Concepts and Fact Families 2.2b.i. Demonstrate fluency (memorize and apply) with basic division facts up to 144 divided by 12 and the associated multiplication fact s (e.g., 144 divided by 12 = 12, 12 x 12 = 144).

2.2b. ii. Estimate the quotient of one- and two- digit divisors and a two- and three-digit dividend to solve application problems.

Factors, arrays, composite, prime, rectangular, common factors, fact families, fluency, division, multiplication, associated, memorize, apply, demonstrate Estimate, quotient, one-/two-digit, divisor, two/three-digit, dividend, application, problems

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2.2b.iii. Find the quotient (with and without remainders) with one-digit divisors and a two- or three-digit dividend to solve application problems.

3.1 Identify, draw, and construct models of intersecting, parallel, and intersecting lines.


Find, solve, quotient, one -digit, divisor, two-/three-digit, dividend, application, problems Identify, draw, construct, models, intersecting, parallel, perpendicular, lines Identify, compare, angles, equal to , less than, greater than, 90 degrees, right angles, size, acute, obtuse

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2nd Nine Weeks

Standard 3: Geometry—The student will apply geometric properties and relationships. (14% on 2011 OCCT!) Standard 4: Measurement--The student will solve problems using appropriate units of measure in a variety of situations. (18% on the 2011 OCCT!)


4.1. Measurement 4.1a. Estimate the measures of a variety of objects using customary units.

Identify, draw, construct, models, regular, irregular, polygons, triangles, quadrilaterals, pentagons, hexagons heptagons, octagons

Estimate, measure, variety, customary units, feet, pounds, gallons

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2nd Nine Weeks


4.1b. Establish benchmarks for metric units and estimate the measures of a variety of objects (e.g., mass: the mass of a raisin is about 1 gram, length: the width of a finger is about 1 centimeter).

4.1c. Select customary and metric units of measure and measurement instruments to solve application problems involving length, weight, mass, area, and volume.

Measurement, benchmark, metric, units,

estimate, measures, variety, mass, volume,

length, grams, meters, liters

Appropriate, customary, metric, units, measure, measurement, instruments, application, length, weight, mass, area, volume

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2nd Nine Weeks


4.1d. Develop and use the concept of area of different shapes using grids to solve problems. New Skills!


Area, shapes, grids, concept Time, elapsed, problems

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2nd Nine Weeks




Thermometers, temperature, change, Fahrenheit, Celsius Money, dollars, cents, decimal, place value, subtraction, change, purchase, twenty dollar bill

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2nd Nine Weeks

Standard 5: Data Analysis and

Statistics—The student will demonstrate

an understanding of collection, display,

and interpretation of data and

probability. (14% on the 2011 OCCT!)

5.1 Data Analysis 5.1a.Read and interpret data displays such as tallies, tables, charts, and graphs and use the observations to pose and answer questions (e.g., choose a table in social studies of population data and write problems).

5.1b. Collect, organize, and record data in tables and graphs (e.g., line graphs [plots], bar graphs, pictographs).

Interpret, read, translate, display, tallies, data, graphs, tables, line/bar/circle graphs, pictographs Recommended Math resources: Math Tools, Grades 3-12, 64 Ways to differentiate Instruction and Increase Student Engagement, by Harvey F. Silver, 2008 (Excellent tool) http://mathforum.org/dr.math http://www.coolmath.com/teachers/index.html http://nlvm.usu.edu http://www.purplemath.com/ http://mypages.iit.edu/~smile Collect, organize, record, data, tables, graphs Benchmark 2: Also available to create test is the Test and Item Specification document for 4th grade math: (Please note changed PASS standards) http://sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr4Math.pdf Great resource for state released 4th grade tests: http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_4th_fourth_grade.htm












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3rd Nine Weeks


1.1. Discover, describe, extend, and create a wide variety of patterns using tables, graphs, rules, and verbal models (e.g., determine the rule from a table or “function machine,” extend visual and number patterns).

Discover, describe, extend, create, variety, patterns, tables, graphs, rules, verbal, models, “function machine,” extend, visual, number patterns Please Note Side by Side changes in the P.A.S.S.! http://sde.state.ok.us/Curriculum/Curriculu

mDiv/Math/pdf/SideBySide/Grade4.pdf



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3rd Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use a variety of problem- solving approaches to create, extend, and analyze patterns. (14% on the 2011 OCCT)! Standard 2: Number Sense and Operations—The student will use numbers and number relationships to acquire basic facts. The student will estimate and compute with whole numbers and fractions. (36% on 2011 OCCT)!


1.3 Recognize and apply associative properties of multiplication to solve problems (e.g., 6 x (2x3) = (6x2) x 3).

2.1. Number Sense

2.1a. Place Value 2.1a.i Apply the concept of place value through 6 digits (write numbers in expanded form).


Associative properties, multiplication, parentheses, solve, problems

Place value, digits, standard form, expanded

form, numbers

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3rd Nine Weeks




Model, read, write, rename, decimal, numbers, hundredths, tenths, periods, decimal point, numerals


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3rd Nine Weeks




Rational numbers, fractions, decimals, number line, percents, whole numbers, real numbers

Compare, add, subtract, fractional, parts, denominator, decimals, physical models, pictorial models, circles, squares

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3rd Nine Weeks


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2.1b.iv. Explore and connect negative numbers using real life situations (e.g., owing money, temperature, elevation above and below sea level). New Skill! Tested at local level. 2.2. Number Sense 2.2a. Estimate and find the product of up to three-digit by three-digit numbers using a variety of strategies to solve application problems.

2.2b. Division Concepts and Fact Families 2.2b.i. Demonstrate fluency (memorize and apply) with basic division facts up to 144 divided by 12 and the associated multiplication fact s (e.g., 144 divided by 12 = 12, 12 x 12 = 144).

Explore, connect, negative numbers, integers, number line, absolute value, real life situations Estimate, product, three-digit, numbers, strategies, application problems

Factors, arrays, composite, prime, rectangular, common factors, fact families, fluency, division, multiplication, associated, memorize, apply, demonstrate

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3rd Nine Weeks

Standard 2: Number Sense and Operations—The student will use numbers and number relationships to acquire basic facts. The student will estimate and compute with whole numbers, fractions, and decimals. (36% on 2011 OCCT)!



2.2b.iii. Find the quotient (with and without remainders) with one-digit divisors and a two- or three-digit dividend to solve application problems.


Estimate, quotient, one-/two-digit, divisor, two-/three-digit, dividend, application, problems Find, solve, quotient, one -digit, divisor, two-/three-digit, dividend, application, problems Identify, compare, angles, equal to , less than, greater than, 90 degrees, right angles, size, acute, obtuse

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Identify, draw, construct, models, regular, irregular, polygons, triangles, quadrilaterals, pentagons, hexagons heptagons, octagons

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3.4. Describe the effect of two- dimensional objects when the slide (translate), flip (reflect), and turn (rotate) (e.g., tessellations).

4.1. Measurement 4.1a. Estimate the measure of a variety of objects using customary units.


Two-dimensional, slide, translate, flip, reflect, turn, rotate, tessellations, objects, axis


Measurement, benchmark, metric, units, estimate, measures, variety, mass, volume, length, grams, meters, liters

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3rd Nine Weeks

Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (18% on the 2011 OCCT!)

4.1c. Select appropriate customary and metric units of measure and measurement instruments to solve application problems involving length, weight, mass, area, and volume.

4.1d. Develop and use the concept of area of different shapes using grids to solve problems. New Skill!


Appropriate, customary, metric, units, measure, measurement, instruments, application, length, weight, mass, area, volume

Area, shapes, grids, concept Time, elapsed, problems

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3rd Nine Weeks

Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (18% on the 2011 OCCT!)



Thermometers, temperature, change, Fahrenheit, Celsius Money, dollars, cents, decimal, place value, subtraction, change, purchase, twenty dollar bill

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3rd Nine Weeks






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Interpret, read, translate, display, tallies, data, graphs, tables, line/bar/circle graphs, pictographs Recommended Math resources: Math Tools, Grades 3-12, 64 Ways to differentiate Instruction and Increase Student Engagement, by Harvey F. Silver, 2008 (Excellent tool) http://mathforum.org/dr.math http://www.coolmath.com/teachers/index.html http://nlvm.usu.edu http://www.purplemath.com/ http://mypages.iit.edu/~smile Collect, organize, record, data, tables, graphs Also available to create test is the Test and Item Specification document for 4th grade math:

(Please note changed PASS standards) http://sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr4Math.pdf Great resource for state released 4th grade tests: http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_4th_fourth_grade.htm












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4th Nine Weeks


1.1. Discover, describe, extend, and create a wide variety of patterns using tables, graphs, rules, and verbal models (e.g., determine the rule from a table or “function machine,” extend visual and number patterns).

Discover, describe, extend, create, variety, patterns, tables, graphs, rules, verbal, models, “function machine,” extend, visual, number patterns Please Note Side by Side changes in the P.A.S.S.! http://sde.state.ok.us/Curriculum/Curriculu

mDiv/Math/pdf/SideBySide/Grade4.pdf



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4th Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use a variety of problem- solving approaches to create, extend, and analyze patterns. (14% on the 2011 OCCT)! Standard 2: Number Sense and Operations—The student will use numbers and number relationships to acquire basic facts. The student will estimate and compute with whole numbers, fractions, and decimals. (36% on 2011 OCCT)!


2.1. Number Sense

2.1a. Place Value 2.1a.i Apply the concept of place value through 6 digits (write numbers in expanded form).


Variables, arithmetic, problems, solve, open sentences, equations, addition, subtraction, multiplication, division, whole numbers Place value, digits, standard form, expanded form, numbers

Model, read, write, rename, decimal, numbers, hundredths, tenths, periods, decimal point, numerals

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4th Nine Weeks




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Rational numbers, fractions, decimals, number line, percents, whole numbers, real numbers

Compare, add, subtract, fractional, parts, denominator, decimals, physical models, pictorial models, circles, squares

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4th Nine Weeks


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2.2. Number Sense 2.2a. Estimate and find the product of up to three-digit by three-digit numbers using a variety of strategies to solve application problems.


Estimate, product, three-digit, numbers, strategies, application problems Estimate, quotient, one-/two-digit, divisor, two-/three-digit, dividend, application, problems

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3.1 Identify, draw, and construct models of intersecting, parallel, and intersecting lines.


Identify, draw, construct, models, intersecting, parallel, perpendicular, lines Identify, compare, angles, equal to , less than, greater than, 90 degrees, right angles, size, acute, obtuse

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4th Nine Weeks

Standard 3: Geometry—The student will use geometric properties and relationships to analyze shapes and use standard units of customary and metric measurements to solve problems. (18% on 2011 OCCT


3.4. Describe the effect of two- dimensional objects when the slide (translate), flip (reflect), and turn (rotate) (e.g., tessellations).

Identify, draw, construct, models, regular, irregular, polygons, triangles, quadrilaterals, pentagons, hexagons heptagons, octagons Two-dimensional, slide, translate, flip, reflect, turn, rotate, tessellations, objects, axis

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4th Nine Weeks


4.1. Measurement 4.1a. Estimate the measure of a variety of objects using customary units.



Measurement, benchmark, metric, units, estimate, measures, variety, mass, volume, length, grams, meters, liters

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4th Nine Weeks


4.1c. Select appropriate customary and metric units of measure and measurement instruments to solve application problems involving length, weight, mass, area, and volume.

4.1d. Develop and use the concept of area of different shapes using grids to solve problems. New Skill!

Appropriate, customary, metric, units, measure, measurement, instruments, application, length, weight, mass, area, volume Area, shapes, grids, concept

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4th Nine Weeks




Time, elapsed, problems Thermometers, temperature, change, Fahrenheit, Celsius

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4th Nine Weeks









Money, dollars, cents, decimal, place value, subtraction, change, purchase, twenty dollar bill

Interpret, read, translate, display, tallies, data, graphs, tables, line/bar/circle graphs, pictographs

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4th Nine Weeks







Also available to create test is the Test and Item Specification document for 4

th grade math:

(Please note changed PASS standards) http://sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr4Math.pdf Great resource for state released 4th grade tests: http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_4th_fourth_grade.htm

Collect, organize, record, data, tables, graphs Also available are EOC released tests from other state including but not limited to: Virginia: http://www.doe.virginia.gov/testing/sol/released_tests/2008/released_tests2008.shtml North Carolina: http://www.ncpublicschools.org/accountability/testing/releasedforms California: http://www.cde.ca.gov/ta/tg/sr/css05rtq.asp Alabama: http://old.mcpss.com/Download.asp?L=2&LMID=519&PN=MainPage&DivisionID=5&DepartmentID=18&SubDepartmentID=&SubP=&Act=Download&T=1&I=5908






http://www.doe.virginia.gov/testing/sol/released_tests/2008/released_tests2008.shtml

http://www.doe.virginia.gov/testing/sol/released_tests/2008/released_tests2008.shtml

http://www.ncpublicschools.org/accountability/testing/releasedforms

http://www.ncpublicschools.org/accountability/testing/releasedforms

http://www.cde.ca.gov/ta/tg/sr/css05rtq.asp

http://old.mcpss.com/Download.asp?L=2&LMID=519&PN=MainPage&DivisionID=5&DepartmentID=18&SubDepartmentID=&SubP=&Act=Download&T=1&I=5908




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NOTES

muskogee public schools curriculum map, 2010 …...e 1 muskogee public schools curriculum map,...

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