4th Grade Math Curriculum
by Karen Morton
June 30, 2005
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Indicator # |
Skill area: |
Indicator Language |
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Standard 1 Numbers and Computation |
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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) |
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M412K5a |
3b Use representations to model mathematical ideas
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(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) |
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M412K5b |
3b Use representations to model mathematical ideas
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(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) |
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M412K5c |
3b Use representations to model mathematical ideas
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(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) |
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M412K5d |
3b Use representations to model mathematical ideas
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(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) |
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M414A1a |
2d Solve equations, formulas, or routine word problems 5b Apply mathematics in contexts outside of mathematics (whenever possible, include diagrams/visuals.)
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(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) |
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M414A1b |
2d Solve equations, formulas, or routine word problems 5b Apply mathematics in contexts outside of mathematics (whenever possible, include diagrams/visuals.)
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(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) |
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M414A1c |
2d Solve equations, formulas, or routine word problems
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(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) |
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M414A1d |
2d Solve equations, formulas, or routine word problems
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(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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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Standard 2 Algebra |
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M422K2a |
2d Solve equations, formulas, or routine word problems
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(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) |
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M422K2b |
2d Solve equations, formulas, or routine word problems
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(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) |
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M422K2c |
2d Solve equations, formulas, or routine word problems
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(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 |
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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.)
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(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) |
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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) |
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Standard 3 Geometry |
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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) |
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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) |
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M432K2a |
1b Recall or recognize mathematics terms, definitions, or concepts 3b Use representations to model mathematical ideas
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(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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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Standard 4 Data Analysis |
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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) |
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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) |
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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) |
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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) |
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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
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(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; |
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M442K1c |
2e Organize or display data
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(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); |
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M442K1f |
3a Communicate mathematical ideas or rules and/or explain the process
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(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; |
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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) |






