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Muskogee Public Schools

Curriculum Map, 2010-2011

Math, Grade 5

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

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e2

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

1st Nine

Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use algebraic methods to describe patterns and solve problems in a variety of contexts. (26% on the 2011 OCCT)!

1.1. Describe the rules that produce patterns found in tables, graphs, and models, and use variables (e.g., boxes, letters, pawns, number cubes, or other symbols) to solve problems or to describe general rules in algebraic expression or equation form.

1.2. Use algebraic problem-solving techniques (e.g., use a balance to model an equation and show how subtracting a number from one side requires subtracting the same amount from the other side.) to solve problems.

Rules, patterns, tables, graphs, models, variables, boxes, letters, pawns, number cubes, symbols, problems algebraic expression/equation

Algebraic problem solving, techniques, balance model, additive inverse, zero pair, one step equations, equation, equal sign

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e3

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

1st Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use algebraic methods to describe patterns and solve problems in a variety of contexts. (26% 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. (32% on 2011 OCCT)!

1.3 Recognize and apply the commutative, associative, and distributive properties to solve problems (e.g., 3x(2+4)=(3x2) +(3x4)

2.1a. Number Sense 2.1a. Apply the concept of place value of whole numbers through hundred millions (9 digits) and model, read, and write decimal numbers through the thousandths.

Commutative, associative, distributive properties, problems, recognize, apply, solve

Place value, whole numbers, periods, decimal numbers, rational numbers, real numbers, tenths, hundredths, thousandths

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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, fractions, and decimals. (32% on 2011 OCCT)!

2.1b. Represent with models the connection between fractions and decimals, compare, and order fractions and decimals, and be able to convert from one representation to the other to solve problems.

2.1c. Compare and identify integers from real world situations (e.g., owing money, temperature, or measuring elevations above sea level). New Skill!

Models, connections, fractions, decimals, compare, order, convert, representation, solve problems Integers, number line, positive, negative, compare, identify, absolute value

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e5

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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, fractions, and decimals. (32% on 2011 OCCT)!

2.1d Identify and apply factors, multiples, prime, and composite numbers in a variety of problem solving situations (e.g., build rectangular arrays for numbers 1-100 and classify as prime or composite, use common factors to add fractions).* Tested at the local level NOW!

Factors, arrays, composite, prime, rectangular, common factors, fractions, multiples

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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, fractions, and decimals. (32% on 2011 OCCT)!

2.2. Number Sense 2.2a. Estimate, add, or subtract decimal numbers with same and different place values to solve problems. (e.g., 3.72 +1.4, $4.56-$2.12).

Estimate, add, subtract, decimal numbers, place value, money, problem solving

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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, fractions, and decimals. (32% on 2011 OCCT)!

2.2b. Estimate, add, or subtract fractions (including mixed numbers) to solve problems using a variety of methods (e.g., fraction strips, use area models, find a common denominator).

2.2c. Estimate and find the quotient (with and without remainders) with two-digit divisors and a two- or three-digit dividend to solve application problems. New Skill!

Estimate, add, subtract, fractions, mixed numbers, problem solving, fractions strips, area models, common denominator, LCD (least common denominator, GFC (greatest common factor), LCM (least common multiple Estimate, quotient, dividend, divisor, division, remainders, two-/three-digit, application problems

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

1st Nine Weeks

Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (14% on the 2011 OCCT!)

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

4.1. Measurement 4.1c. Convert basic measurements of volume, mass and distance within the same system for metric and customary units. (e.g., inches to feet, hours to minutes, centimeters to meters).

4.2. Money: Solve a variety of problems involving money. New Skill!

5.2b. Probability: Use the fundamental counting principle on sets with up to four items to determine the number of possible combinations (create a tree diagram to see possible outcomes).

Convert, measurements, customary, metric, units, systems, volume, mass, distance, Money, dollars, cents, decimal, place value, addition, subtraction, division, multiplication Fundamental, counting principle, sets, combinations, tree diagram

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

1st Nine Weeks

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

.

.

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: http://www.sde.state.ok.us/AcctAssess/pdf/Core/Released/Gr5Math04-05.pdf 50 question CRT test from2005 Also available to create test is the Test and Item Specification document for 5th grade math: (Please note changed PASS standards) http://www.sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr5Math.pdf Great resource for state released 5th grade tests: http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_5th_fifth_grade.htm

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

2nd Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use algebraic methods to describe patterns and solve problems in a variety of contexts. (26% on the 2011 OCCT)!

1.1. Describe the rules that produce patterns found in tables, graphs, and models, and use variables (e.g., boxes, letters, pawns, number cubes, or other symbols) to solve problems or to describe general rules in algebraic expression or equation form.

1.2. Use algebraic problem-solving techniques (e.g., use a balance to model an equation and show how subtracting a number from one side requires subtracting the same amount from the other side.) to solve problems.

Rules, patterns, tables, graphs, models, variables, boxes, letters, pawns, number cubes, symbols, problems algebraic expression/equation

Algebraic problem solving, techniques, balance model, additive inverse, zero pair, one step equations, equation, equal sign

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e11

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

2nd Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use algebraic methods to describe patterns and solve problems in a variety of contexts. (26% 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. (32% on 2011 OCCT)!

1.3 Recognize and apply the commutative, associative, and distributive properties to solve problems (e.g., 3x(2+4)=(3x2) +(3x4)

2.1a. Number Sense 2.1a. Apply the concept of place value of whole numbers through hundred millions (9 digits) and model, read, and write decimal numbers through the thousandths.

Commutative, associative, distributive properties, problems, recognize, apply Place value, whole numbers, periods, decimal numbers, rational numbers, real numbers, tenths, hundredths, thousandths

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e12

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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, fractions, and decimals. (32% on 2011 OCCT)!

2.1b. Represent with models the connection between fractions and decimals, compare, and order fractions and decimals, and be able to convert from one representation to the other to solve problems.

Models, connections, fractions, decimals, compare, order, convert, representation, solve problems

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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, fractions, and decimals. (32% on 2011 OCCT)! .

2.1c. Compare and identify integers from real world situations (e.g., owing money, temperature, or measuring elevations above sea level). New Skill!

Integers, number line, positive, negative, compare, identify, absolute value

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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, fractions, and decimals. (32% on 2011 OCCT)!

2.1d Identify and apply factors, multiples, prime, and composite numbers in a variety of problem solving situations (e.g., build rectangular arrays for numbers 1-100 and classify as prime or composite, use common factors to add fractions).* Tested at the local level NOW!

2.2. Number Sense 2.2a. Estimate, add, or subtract decimal numbers with same and different place values to solve problems. (e.g., 3.72 +1.4, $4.56-$2.12).

2.2b. Estimate, add, or subtract fractions (including mixed numbers) to solve problems using a variety of methods (e.g., fraction strips, use area models, find a common denominator).

Factors, arrays, composite, prime, rectangular, common factors, fractions, multiples Estimate, add, subtract, decimal numbers, place value, money, problem solving Estimate, add, subtract, fractions, mixed numbers, problem solving, fractions strips, area models, common denominator, LCD (least common denominator, GFC (greatest common factor), LCM (least common multiple

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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, fractions, and decimals. (32% on 2011 OCCT)!

Standard 3: Geometry—The student will apply geometric properties and relationships. (14% on 2011 OCCT!)

2.2c. Estimate and find the quotient (with and without remainders) with two-digit divisors and a two- or three-digit dividend to solve application problems. New Skill!

3.1 Compare and contrast the basic characteristics of circles and polygons (triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons).

Estimate, quotient, dividend, divisor, division, remainders, two-/three-digit, application problems Regular, classify, polygons, circles, vertex, base, quadrilateral, hexagonal, rectangular, square, triangular, pentagonal, congruent, similar, parallel

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

2nd Nine Weeks

Standard 3: Geometry—The student will apply geometric properties and relationships. (14% on 2011 OCCT!)

3.2 Classify angles (e.g., acute, right, obtuse, straight) New Skill!

Angles, right, straight, obtuse, acute intersecting, perpendicular, vertex

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

2nd Nine Weeks

Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (14% on the 2011 OCCT!) Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (14% on the 2011 OCCT!)

4.1. Measurement 4.1a. Compare, estimate, and determine the measurement of angles.

4.1b. Develop and use the formulas for perimeter and area of a square and rectangle to solve applications problems.

Compare, estimate, determine, measurement, angles, degree, protractor, lines, vertex, intersect Formulas, perimeter, area, square, rectangle, length, width,

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

2nd Nine Weeks

Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (14% on the 2011 OCCT!)

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

4.1c. Convert basic measurements of volume, mass and distance within the same system for metric and customary units. (e.g., inches to feet, hours to minutes, centimeters to meters).

4.2. Money: Solve a variety of problems involving money. New Skill!

5.1 Data Analysis 5.1a.Compare and translate displays of data and justify the selection of the type of table or graph.

Convert, measurements, customary, metric, units, systems, volume, mass, distance, Money, dollars, cents, decimal, place value, addition, subtraction, division, multiplication Compare, translate, display, data, graphs, tables, line/bar/circle graphs,

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

2nd Nine Weeks

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

5.1b. Formulate questions, design investigations, consider samples, and collect, organize, and analyze data using observation, measurement, surveys, or experiments. * Tested at the local level. 5.2a. Determine the probability of events occurring in familiar contexts or experiments and express probabilities as fractions from zero to one. (e.g., find the fractional probability of an event using a biased spinner)

Formulate, design, investigations, samples, collect, organize, analyze, data, observation, measurement, surveys, experiments Probability, outcomes, fraction, ratio, occurrences

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e20

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

2nd Nine Weeks

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

5.2b. Probability: Use the fundamental counting principle on sets with up to four items to determine the number of possible combinations (create a tree diagram to see possible outcomes).

5.3. Central Tendency: Determine the range (spread), mode (most often), and the median (middle) of a set of data. New Skill!

Fundamental, counting principle, sets, combinations, tree diagram Central tendency, mean, median, mode, range, weighted average, box-whisker plot, probability of distribution, expected value, variance, standard deviation, outlier, first/ third quartile Benchmark 2: 50 question CRT test from2005

http://www.sde.state.ok.us/AcctAssess/pdf/Core/Released/Gr5Math04-05.pdf Also available to create test is the Test and Item Specification document for 5th grade math:

(Please note changed PASS standards) http://www.sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr5Math.pdf Great resource for state released 5th grade tests: http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_5th_fifth_grade.htm

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

3rd Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use algebraic methods to describe patterns and solve problems in a variety of contexts. (26% on the 2011 OCCT)!

1.1. Describe the rules that produce patterns found in tables, graphs, and models, and use variables (e.g., boxes, letters, pawns, number cubes, or other symbols) to solve problems or to describe general rules in algebraic expression or equation form.

1.2. Use algebraic problem-solving techniques (e.g., use a balance to model an equation and show how subtracting a number from one side requires subtracting the same amount from the other side.) to solve problems.

1.3 Recognize and apply the commutative, associative, and distributive properties to solve problems (e.g., 3x(2+4)=(3x2) +(3x4)

Rules, patterns, tables, graphs, models, variables, boxes, letters, pawns, number cubes, symbols, problems algebraic expression/equation

Algebraic problem solving, techniques, balance model, additive inverse, zero pair, one step equations, equation, equal sign

Commutative, associative, distributive properties, problems, recognize, apply

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e22

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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. (32% on 2011 OCCT)!

2.1a. Number Sense 2.1a. Apply the concept of place value of whole numbers through hundred millions (9 digits) and model, read, and write decimal numbers

through the thousandths.

2.1b. Represent with models the connection between fractions and decimals, compare, and order fractions and decimals, and be able to convert from one representation to the other to solve problems.

Place value, whole numbers, periods, decimal numbers, rational numbers, real numbers, tenths, hundredths, thousandths

Models, connections, fractions, decimals, compare, order, convert, representation, solve problems

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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. (32% on 2011 OCCT)!

2.1c. Compare and identify integers from real world situations (e.g., owing money, temperature, or measuring elevations above sea level). New Skill!

Integers, number line, positive, negative, compare, identify, absolute value

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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. (32% on 2011 OCCT)!

.

2.1d Identify and apply factors, multiples, prime, and composite numbers in a variety of problem solving situations (e.g., build rectangular arrays for numbers 1-100 and classify as prime or composite, use common factors to add fractions).* Tested at the local level NOW!

2.2. Number Sense 2.2a. Estimate, add, or subtract decimal numbers with same and different place values to solve problems. (e.g., 3.72 +1.4, $4.56-$2.12).

2.2b. Estimate, add, or subtract fractions (including mixed numbers) to solve problems using a variety of methods (e.g., fraction strips, use area models, find a common denominator).

Factors, arrays, composite, prime, rectangular, common factors, fractions, multiples

Estimate, add, subtract, decimal numbers, place value, money, problem solving Estimate, add, subtract, fractions, mixed numbers, problem solving, fractions strips, area models, common denominator, LCD (least common denominator, GFC (greatest common factor), LCM (least common multiple

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

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. (32% on 2011 OCCT)!

Standard 3: Geometry—The student will apply geometric properties and relationships. (14% on 2011 OCCT!)

3.1 Compare and contrast the basic characteristics of circles and polygons (triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons).

Regular, classify, polygons, circles, vertex, base, quadrilateral, hexagonal, rectangular, square, triangular, pentagonal, congruent, similar, parallel

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

3rd Nine Weeks

Standard 3: Geometry—The student will apply geometric properties and relationships. (14% on 2011 OCCT!)

3.2 Classify angles (e.g., acute, right, obtuse, straight) New Skill!

Angles, right, straight, obtuse, acute intersecting, perpendicular, vertex

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e27

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

3rd Nine Weeks

Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (14% on the 2011 OCCT!)

4.1b. Develop and use the formulas for perimeter and area of a square and rectangle to solve applications problems.

4.1c. Convert basic measurements of volume, mass and distance within the same system for metric and customary units. (e.g., inches to feet, hours to minutes, centimeters to meters).

Area/perimeter (circumference)formulas, volume, surface area, cubes, centimeter, faces, edges, vertex, length, width, depth, height,

Convert, measurements, customary, metric, units, systems, volume, mass, distance,

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

3rd Nine Weeks

Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (14% on the 2011 OCCT!)

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

4.2. Money: Solve a variety of problems involving money. New Skill!

5.1 Data Analysis 5.1a.Compare and translate displays of data and justify the selection of the type of table or graph.

Money, dollars, cents, decimal, place value, addition, subtraction, division, multiplication

Compare, translate, display, data, graphs, tables, line/bar/circle graphs, pictographs

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e29

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

3rd Nine Weeks

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

.

5.2a. Determine the probability of events occurring in familiar contexts or experiments and express probabilities as fractions from zero to one. (e.g., find the fractional probability of an event using a biased spinner)

Probability, outcomes, fraction, ratio, occurrences

Pag

e30

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

3rd Nine Weeks

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

5.3. Central Tendency: Determine the range (spread), mode (most often), and the median (middle) of a set of data. New Skill!

Central tendency, mean, median, mode, range, weighted average, box-whisker plot, probability of distribution, expected value, variance, standard deviation, outlier, first/ third quartile

Benchmark 3: 50 question CRT test from2005

http://www.sde.state.ok.us/AcctAssess/pdf/Core/Released/Gr5Math04-05.pdf Also available to create test is the Test and Item Specification document for 5th grade math:

(Please note changed PASS standards) http://www.sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr5Math.pdf Great resource for state released 5th grade tests: http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_5th_fifth_grade.htm

Pag

e31

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will use algebraic methods to describe patterns and solve problems in a variety of contexts. (26% on the 2011 OCCT)!

1.2. Use algebraic problem-solving techniques (e.g., use a balance to model an equation and show how subtracting a number from one side requires subtracting the same amount from the other side.) to solve problems.

Algebraic problem solving, techniques, balance model, additive inverse, zero pair, one step equations, equation, equal sign

Pag

e32

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th 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. (32% on 2011 OCCT)!

2.1a. Number Sense 2.1a. Apply the concept of place value of whole numbers through hundred millions (9 digits) and model, read, and write decimal numbers

through the thousandths.

Place value, whole numbers, periods, decimal numbers, rational numbers, real numbers, tenths, hundredths, thousandths

Pag

e33

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th 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. (32% on 2011 OCCT)!

2.1b. Represent with models the connection between fractions and decimals, compare, and order fractions and decimals, and be able to convert from one representation to the other to solve problems.

Models, connections, fractions, decimals, compare, order, convert, representation, solve problems

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e34

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th 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. (32% on 2011 OCCT)!

.

2.1c. Compare and identify integers from real world situations (e.g., owing money, temperature, or measuring elevations above sea level). New Skill!

2.1d Identify and apply factors, multiples, prime, and composite numbers in a variety of problem solving situations (e.g., build rectangular arrays for numbers 1-100 and classify as prime or composite, use common factors to add fractions).* Tested at the local level NOW!

Integers, number line, positive, negative, compare, identify, absolute value

Factors, arrays, composite, prime, rectangular, common factors, fractions, multiples

Pag

e35

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th 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. (32% on 2011 OCCT)!

2.2. Number Sense 2.2a. Estimate, add, or subtract decimal numbers with same and different place values to solve problems. (e.g., 3.72 +1.4, $4.56-$2.12).

2.2b. Estimate, add, or subtract fractions (including mixed numbers) to solve problems using a variety of methods (e.g., fraction strips, use area models, find a common denominator).

Estimate, add, subtract, decimal numbers, place value, money, problem solving Estimate, add, subtract, fractions, mixed numbers, problem solving, fractions strips, area models, common denominator, LCD (least common denominator, GFC (greatest common factor), LCM (least common multiple

Pag

e36

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th 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. (32% on 2011 OCCT)!

2.2c. Estimate and find the quotient (with and without remainders) with two-digit divisors and a two- or three-digit dividend to solve application problems. New Skill!

Estimate, quotient, dividend, divisor, division, remainders, two-/three-digit, application problems

Pag

e37

Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th Nine Weeks

Standard 3: Geometry—The student will apply geometric properties and relationships. (14% on 2011 OCCT!)

3.1 Compare and contrast the basic characteristics of circles and polygons (triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons).

3.2 Classify angles (e.g., acute, right, obtuse, straight) New Skill!

Regular, classify, polygons, circles, vertex, base, quadrilateral, hexagonal, rectangular, square, triangular, pentagonal, congruent, similar, parallel

Angles, right, straight, obtuse, acute intersecting, perpendicular, vertex,

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th Nine Weeks

Standard 3: Geometry—The student will apply geometric properties and relationships. (14% on 2011 OCCT!)

Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (14% on the 2011 OCCT!)

4.1. Measurement 4.1a. Compare, estimate, and determine the measurement of angles.

Compare, estimate, determine, measurement, angles, degree, protractor, lines, vertex, intersect, supplemental, complimentary (new concepts)

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th Nine Weeks

Standard 4: Measurement--The student will use appropriate units of measure to solve problems in a variety of contexts. (14% on the 2011 OCCT!)

4.1b. Develop and use the formulas for perimeter and area of a square and rectangle to solve applications problems.

Formulas, perimeter, area, square, rectangle, length, width,

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th Nine Weeks

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

4.1c. Convert basic measurements of volume, mass and distance within the same system for metric and customary units. (e.g., inches to feet, hours to minutes, centimeters to meters).

4.2. Money: Solve a variety of problems involving money. New Skill!

Convert, measurements, customary, metric, units, systems, volume, mass, distance,

Money, dollars, cents, decimal, place value, addition, subtraction, division, multiplication

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th Nine Weeks

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

.

5.1 Data Analysis 5.1a.Compare and translate displays of data and justify the selection of the type of table or graph.

Compare, translate, display, data, graphs, tables, line/bar/circle graphs, pictographs

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

4th Nine Weeks

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

5.2a. Determine the probability of events occurring in familiar contexts or experiments and express probabilities as fractions from zero to one. (e.g., find the fractional probability of an event using a biased spinner)

Probability, outcomes, fraction, ratio, occurrences

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Nine-

Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

Standard 5: Data Analysis and

Statistics—The student will use data

analysis, statistics, and probability to

interpret data in a variety of contexts. (14% on the 2011 OCCT!)

5.2b. Probability: Use the fundamental counting principle on sets with up to four items to determine the number of possible combinations (create a tree diagram to see possible outcomes).

5.3. Central Tendency: Determine the range (spread), mode (most often), and the median (middle) of a set of data. New Skill!

Fundamental, counting principle, sets, combinations, tree diagram Benchmark 4: 50 question CRT test from2005 http://www.sde.state.ok.us/AcctAssess/pdf/Core/Released/Gr5Math04-05.pdf Also available to create test is the Test and Item Specification document for 5

th grade math:

(Please note changed PASS standards) http://www.sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr5Math.pdfGreat resource for state released 5

th grade tests:

http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_5th_fifth_grade.htm 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 Central tendency, mean, median, mode, range, weighted average, box-whisker plot, probability of distribution, expected value, variance, standard deviation, outlier, first/ third quartile

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NOTES