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USD 380 Curriculum: Math

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4th Grade Math Curriculum

by Karen Morton

June 30, 2005

 

 Indicator #

Skill area:

Indicator Language

Standard 1 Numbers and Computation

M412K1

1b Recall or recognize mathematics terms, definitions, or concepts

 2a Use numbers to count, order, or denote

 3b Use representations to model mathematical ideas

 4f Identify faulty arguments or identify misrepresentations of data

(Number Systems and Properties – Knowledge Obj. 2 )

The student identifies, models, reads, and writes numbers using numerals, words, and expanded notation from hundredths place through one-hundred thousands place. (2.4.K1a-b)

M412K5a

3b Use representations to model mathematical ideas

 

(Number Systems and Properties – Knowledge Obj. 5a )

The student uses the concepts of these properties with the whole number system and demonstrates their meaning including the use of concrete objects: commutative properties of addition and multiplication. (2.4.K1a)

M412K5b

3b Use representations to model mathematical ideas

 

(Number Systems and Properties – Knowledge Obj. 5b )

The student uses the concepts of these properties with the whole number system and demonstrates their meaning including the use of concrete objects: zero property of addition and property of one for multiplication. (2.4.K1a)

M412K5c

3b Use representations to model mathematical ideas

 

(Number Systems and Properties – Knowledge Obj. 5c )

The student uses the concepts of these properties with the whole number system and demonstrates their meaning including the use of concrete objects: associative properties of addition and multiplication. (2.4.K1a)

M412K5d

3b Use representations to model mathematical ideas

 

(Number Systems and Properties – Knowledge Obj. 5d )  N

The student uses the concepts of these properties with the whole number system and demonstrates their meaning including the use of concrete objects: symmetric property of equality applied to addition and multiplication. (2.4.K1a)

M414A1a

2d Solve equations, formulas, or routine word problems

 5b Apply mathematics in contexts outside of mathematics (whenever possible, include diagrams/visuals.)

 

(Computation – Application Obj. 1a )  N

The student solves one- and two-step real-world problems with one or two operations using these computational procedures: adds and subtracts whole numbers from 0 through 10,000 and when used as monetary amounts. (2.4.A1a-b,d)

M414A1b

2d Solve equations, formulas, or routine word problems

  5b Apply mathematics in contexts outside of mathematics (whenever possible, include diagrams/visuals.)

 

(Computation – Application Obj. 1b)  N

The student solves one- and two-step real-world problems with one or two operations using these computational procedures: multiplies through a two-digit whole number by a two-digit whole number. (2.4.A1a-b)

M414A1c

2d Solve equations, formulas, or routine word problems

 

(Computation – Application Obj. 1c)  N

The student solves one- and two-step real-world problems with one or two operations using these computational procedures: multiplies whole dollar monetary amounts (up through three-digit) by a one- or two-digit whole number. (2.4.A1a-b,d)

M414A1d

2d Solve equations, formulas, or routine word problems

 

(Computation – Application Obj. 1d)  N

The student solves one- and two-step real-world problems with one or two operations using these computational procedures: multiplies monetary amounts less than $100 by whole numbers less than ten. (2.4.A1a-b,d)

M414A1e

2d Solve equations, formulas, or routine word problems

4f Identify faulty arguments or identify misrepresentations of data

 (Computation – Application Obj. 1e)  N

The student solves one- and two-step real-world problems with one or two operations using these computational procedures: figures correct change through $20.00. (2.4.A1a-d)

M414K6a

1a Recite or recall basic mathematics facts

3e Show and/or explain relationships between models, diagrams, and/or other representations

(Computation – Knowledge Obj. 6a)  N

The student shows the relationship between these operations with the basic fact families (addition facts with sums from 0 through 20 and corresponding subtraction facts, multiplication facts from 1 x 1 through 12 x 12 and corresponding division facts) including the use of mathematical models: addition and subtraction. (2.4.A1a-d)

M414K6b

1a Recite or recall basic mathematics facts

3e Show and/or explain relationships between models, diagrams, and/or other representations

(Computation – Knowledge Obj. 6b)  N

The student shows the relationship between these operations with the basic fact families (addition facts with sums from 0 through 20 and corresponding subtraction facts, multiplication facts from 1 x 1 through 12 x 12 and corresponding division facts) including the use of mathematical models: addition and multiplication. (2.4.K1a)

M414K6c

1a Recite or recall basic mathematics facts

3e Show and/or explain relationships between models, diagrams, and/or other representations

(Computation – Knowledge Obj. 6c)  N

The student shows the relationship between these operations with the basic fact families (addition facts with sums from 0 through 20 and corresponding subtraction facts, multiplication facts from 1 x 1 through 12 x 12 and corresponding division facts) including the use of mathematical models: multiplication and division. (2.4.K1a)

M414K6d

1a Recite or recall basic mathematics facts

3e Show and/or explain relationships between models, diagrams, and/or other representations

(Computation – Knowledge Obj. 6d)  N

The student shows the relationship between these operations with the basic fact families (addition facts with sums from 0 through 20 and corresponding subtraction facts, multiplication facts from 1 x 1 through 12 x 12 and corresponding division facts) including the use of mathematical models: subtraction and division. (2.4.K1a)

Standard 2 Algebra

M422K2a

2d Solve equations, formulas, or routine word problems

 

(Variables, Equations,  Inequalities-Knowledge Obj. 2a)

The student solves one-step equations using whole numbers with one variable and a whole number solution that: find the unknown in a multiplication or division equation based on the multiplication facts from 1 x 1 through 12 x 12 and corresponding division facts. (2.4.K1a)

M422K2b

2d Solve equations, formulas, or routine word problems

 

(Variables, Equations,  Inequalities-Knowledge Obj. 2b)

The student solves one-step equations using whole numbers with one variable and a whole number solution that: find the unknown in a money equation using multiplication and division based upon the facts and addition and subtraction with values through $10. (2.4.K1d)

M422K2c

2d Solve equations, formulas, or routine word problems

 

(Variables, Equations,  Inequalities-Knowledge Obj. 2c)

The student solves one-step equations using whole numbers with one variable and a whole number solution that: find the unknown in a time equation involving whole minutes, hours, days, and weeks with values through 200. (2.4.K1a

M423A1

3e Show and/or explain relationships between models, diagrams, and/or other representations

  4f Identify faulty arguments or identify misrepresentations of data

 5b Apply mathematics in contexts outside of mathematics (whenever possible, include diagrams/visuals.)

 

(Functions – Application Obj. 1)

The student represents and describes mathematical relationships between whole numbers from 0 through 1,000 using concrete objects, pictures, written descriptions, symbols, equations, tables, and graphs. (2.4.A1a)

M423K2

3e Show and/or explain relationships between models, diagrams, and/or other representations

 4d Find a mathematical rule to generate a pattern or number sequence

(Functions – Knowledge Obj. 2)

The student finds the values, determines the rule, and states the rule using symbolic notation with one operation of whole numbers from 0 through 200 using a horizontal or vertical function table (input/output machine, T-table). (2.4.K1e)

Standard 3 Geometry

M431A2

1b Recall or recognize mathematics terms, definitions, or concepts

 3b Use representations to model mathematical ideas

Geometric figures & Properties – Application Obj 2)

The student identifies the plane figures (circles, squares, rectangles, triangles, ellipses, rhombi, octagons, hexagons, pentagons, trapezoids) used to form a composite figure. (2.4.A1f)

M432A2

3a Communicate mathematical ideas or rules and/or explain the process

 4f Identify faulty arguments or identify misrepresentations of data

 5b Apply mathematics in contexts outside of mathematics (whenever possible, include diagrams/visuals.)

(Measurement and Estimation – Application 2)

The student estimates to check whether or not measurements and calculations for length, width, weight, volume, temperature, time and perimeter in real-world problems are reasonable. (2.4.A1a)

M432K2a

1b Recall or recognize mathematics terms, definitions, or concepts

 3b Use representations to model mathematical ideas

 

(Measurement and Estimation – Knowledge Obj. 2a)

The student selects, explains the selection of, and uses measurement tools, units of measure, and degree of accuracy appropriate for a given situation to measure: length, width, and height to the nearest fourth of an inch or to the nearest centimeter. (2.4.K1a)

M432K2b

1b Recall or recognize mathematics terms, definitions, or concepts

 3b Use representations to model mathematical ideas

(Measurement and Estimation – Knowledge Obj. 2b)

The student selects, explains the selection of, and uses measurement tools, units of measure, and degree of accuracy appropriate for a given situation to measure: volume to the nearest cup, pint, quart, or gallon; to the nearest liter; or to the nearest whole unit of a nonstandard unit. (2.4.K1a)

M432K2c

1b Recall or recognize mathematics terms, definitions, or concepts

 3b Use representations to model mathematical ideas

(Measurement and Estimation – Knowledge Obj. 2c)

The student selects, explains the selection of, and uses measurement tools, units of measure, and degree of accuracy appropriate for a given situation to measure: weight to the nearest ounce or pound or to the nearest whole unit of a nonstandard unit of measure. (2.4.K1a)

M432K2d

3b Use representations to model mathematical ideas

(Measurement and Estimation – Knowledge Obj. 2d)

The student selects, explains the selection of, and uses measurement tools, units of measure, and degree of accuracy appropriate for a given situation to measure: temperature to the nearest degree. (2.4.K1a)

M432K2e

3b Use representations to model mathematical ideas

(Measurement and Estimation – Knowledge Obj. 2e)

The student selects, explains the selection of, and uses measurement tools, units of measure, and degree of accuracy appropriate for a given situation to measure: time including elapsed time. (2.4.K1a)

M433K2

1b Recall or recognize mathematics terms, definitions, or concepts

2c Follow procedures or instructions

3a Communicate mathematical ideas or rules and/or explain the process

3b Use representations to model mathematical ideas

(Transformational Geometry – Knowledge 2)

The student recognizes, performs, and describes one transformation (reflection/flip, rotation/turn, translation/slide) on a two-dimensional figure or concrete object. (2.4.K1a)

M434K3

1b Recall or recognize mathematics terms, definitions, or concepts

2c Follow procedures or instructions

3a Communicate mathematical ideas or rules and/or explain the process

4f Identify faulty arguments or identify misrepresentations of data

(Geometry from Algebraic Perspective – Knowledge 3)

The student identifies and plots points as whole number ordered pairs in the first quadrant of a coordinate plane (coordinate grid). (2.4.K1a)

 Standard 4 Data Analysis

M442A2a

3c Explain findings and/or results from data analysis strategies

Statistics – Application Obj. 2 a)

The student uses these statistical measures of a data set using whole numbers from 0 through 1,000 with less than ten whole number data points to make reasonable inferences and predictions, answer questions, and make decisions: minimum and maximum values. (2.4.A1a)

M442A2b

3c Explain findings and/or results from data analysis strategies

(Statistics – Application Obj. 2 b)

The student uses these statistical measures of a data set using whole numbers from 0 through 1,000 with less than ten whole number data points to make reasonable inferences and predictions, answer questions, and make decisions: range. (2.4.A1a)

M442A2d

3c Explain findings and/or results from data analysis strategies

(Statistics – Application Obj. 2 d)

The student uses these statistical measures of a data set using whole numbers from 0 through 1,000 with less than ten whole number data points to make reasonable inferences and predictions, answer questions, and make decisions: d) median when the data set has an odd number of data points;  (2.4.A1a)

M442A2e

3c Explain findings and/or results from data analysis strategies

(Statistics – Application Obj. 2 e)

The student uses these statistical measures of a data set using whole numbers from 0 through 1,000 with less than ten whole number data points to make reasonable inferences and predictions, answer questions, and make decisions: e) mean when the data set has a whole number mean (2.4.A1a)

M442K1b

2e Organize or display data

2f Read or produce graphs and tables

3a Communicate mathematical ideas or rules and/or explain the process

 4f Identify faulty arguments or identify misrepresentations of data

 

(Statistics – Knowledge Obj. 1b) 

The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: b) pictographs with a symbol or picture representing one, two, five, ten, twenty-five, or one-hundred including partial symbols when the symbol represents an even amount;

M442K1c

2e Organize or display data

 

(Statistics – Knowledge Obj. 1c) 

The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: c) frequency tables (tally marks);

M442K1f

3a Communicate mathematical ideas or rules and/or explain the process

 

(Statistics – Knowledge – Obj. 1f)

The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: f) line plots;

M442K1i

4f Identify faulty arguments or identify misrepresentations of data

(Statistics – Knowledge – Obj. 1g)

The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: i) circle graphs. (2.4.K1h)

 

 
 

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