TENNESSEE K-8 MATHEMATICS STANDARDS CROSSWALK |
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| Curriculum Crosswalk Key: ACT Content Areas: BOA: Basic Operations & Applications; PSDA: Probability, Statistics & Data Analysis; NCP: Numbers: Concepts & Properties; EEI: Expressions, Equations, & Inequalities; GR: Graphical Representations ; PPF: Properties of Plane Figures; MEAS: Measurement; and FN: Functions. NAEP Content Areas: NPO: Number Properties and Operations; MEA: Measurement; GEO: Geometry; DASP: Data Analysis & Probability; and ALG: Algebra. |
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Mathematics Standard 1.0: Mathematical Processes |
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| Grade Level Expectations | PSSM | Focal Points | ACHIEVE | ACT | NAEP | MCREL | |
| K | GLE 0006.1.1 Use mathematical language, symbols, and definitions while developing mathematical reasoning. | Numbers
and Operations Pg 78 - 88 Communication Standard Pg 128 -131 |
Number
and Operations Pg 12 |
N.K.1b p. 1 |
NPO
Gr 4: 1e;6a ALG Gr 4: 3a |
Standard
1 Level I, IBenchmark 2, 3 |
|
| GLE 0006.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. | Problem
Solving Pg 116 – 121 Measurement Pg 102-106 Numbers and Operations Pg 78-88 |
Numbers
and Operations Pg 12 |
N.K.4 p. 2 M.K.1b p. 3 |
NPO Gr 4: 2b,c; 3a, f |
Standard
1 Level I, Benchmark 1-5 Standard 3 Level I, Benchmark 3 |
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| GLE 0006.1.3 Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. | Reasoning
and Proof Pg 122-126 Communication Standard Pg 128 – 131 |
Numbers
and Operations Pg 12 |
NPO Gr 4: 3a, b, c, e |
Standard
3 Level I, Benchmark 1, 2, 4 |
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| GLE 0006.1.4 Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. | Numbers
and Operations Pg 78 - 88 Algebra Pg 91-95 Connections Standard Pg 132-135 |
Numbers
and Operations Pg 12 |
N.K.4 p. 2 |
NPO Gr 4: 1b, e DASP Gr 4: 4g ALG Gr 4: 2a |
Standard
1 Level I, Benchmark 1-5 |
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| GLE 0006.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. | Representation
Standard Pg 136-141 Data Analysis and Probability Pg 108-114 Geometry Pg 96- 101 |
Numbers
and Operations Pg 12 |
N.K1a p. 1 N.K.3a p. 2 A.K.1a p. 4 |
GEO Gr 4: 3a DASP Gr 4: 1a, b ALG Gr 4: 1a, b, d; 2c |
Standard
1 Level I, Benchmarks 1-5 Standard 5 Level I, Benchmark IV Standard 6 Level II, Benchmark 5 Standard 8 Level I, Benchmark 1, 2 |
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| GLE 0006.1.6 Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. | Communication
Standard Pg 128-131 Representation Pg 136- 141
|
|
N.K.1 p.1 N.K.4 p.2 M.K.1a,b p. 3 PS.K.1 p. 3 |
NPO Gr 4: 6a GEO Gr 4: 5 a ALG Gr 4: 1b, 3a |
Standard
1 Level I, Benchmark 2, 3 Standard 3 Level I, Benchmark 3 Standard 5 Level I, Benchmark 2 |
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| GLE 0006.1.7 Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. | Connections |
Numbers
and Operations |
Ch
2 Mathematical Content Areas See narrative preceding each strand NPO Gr 4: 3f |
Standard
1 Level I, Benchmark 2, 3 |
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| GLE 0006.1.8 Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. | Representation
Standard |
N.K.1a p. 1 N.K.2b p. 1 N.K.3a p. 2 N.K.4b,c,d p. 2 M.K.1a,b p. 3 A.K.1a p. 4 |
NPO Gr 4: 1b, e; 3b, c MEAS Gr 4: 1b, c GEO Gr 4: 1b; 5a |
Standard
1 Level I, Benchmark 1-5 Standard 3 Level I, Benchmark 3 |
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| 1 | GLE 0106.1.1 Use mathematical language, symbols, and definitions while developing mathematical reasoning. | Numbers
and Operations P.78 Communication Standard P.128 -131 |
Numbers
and Operations and Algebra p.13 |
N.1.3.d p. 6 N.3.5.c p. 20 |
NPO Gr 4: 6a ALG Gr 4: 3a |
Standard
1 Level I, Benchmark 2, 3 |
|
| GLE 0106.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. | Problem
Solving P.116 – 121 Measurement P.102-106 |
Numbers
and Operations and Algebra p.13 |
M.1.1.a,c p. 6-7 N.1.3.a,d p. 5-6 PS.1.1. p. 7 |
NPO Gr 4: 2b, c; 3f |
Standard
1 Level I, Benchmark 1-5 Standard 3 Level I, Benchmark 3 |
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| GLE 0106.1.3 Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. | Reasoning
and Proof P.122-126 Communication Standard P.128 – 131 |
Numbers
and Operations and Algebra p.13 |
N.1.3.a p.5 A.1.1.b p. 8 |
NPO Gr 4: 3a, b, c, e |
Standard
3 Level I. Benchmark 1, 2, 4 |
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| GLE 0106.1.4 Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. | Algebra P.90-95 Connections Standard P.132-135 |
Numbers
and Operations and Algebra p.13 |
N.K.4.b,c,d p. 2 N.1.2.b p. 5 N.1.3.a,d p. 5-6 M.1.1.c p. 7 PS1.1 p. 7 |
NPO Gr 4: 1b, e DASP Gr 4: 4g ALG Gr 4: 2a |
Standard
1 Level I, Benchmark 1-5 |
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| GLE 0106.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. | Representation
Standard P.136-141 Data Analysis and Probability P.108-114 Geometry P.96- 101 |
Numbers
and Operations and Algebra p.13 |
N.K.3.a p. 2 A.K.1.a p. 4 N.1.3.b,d p. 6 PS.1.1 p. 7 G.1.1.c p. 8 A.1.1.b,c p. 8 |
GEO Gr 4: 3a DASP Gr 4: 1a, b ALG Gr 4: 1a, b, d; 2c |
Standard
1 Level I, Benchmarks 1-5 Standard 5 Level I, Benchmark 4 Standard 6 Level II, Benchmark 5 Standard 8 Level I, Benchmark 1, 2 |
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| GLE 0106.1.6 Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. | Communication
Standard P.128-131 |
Numbers
and Operations and Algebra p.13 |
N.1.3.a,d p. 5 N.3.5.c p. 20 A.1.1.b p. 8 |
NPO Gr 4: 6a GEO Gr 4: 5 a ALG Gr 4: 1b, 3a |
Standard
1 Level I, Benchmark 2, 3 Standard 3 Level I, Benchmark 3 Standard 5 Level I, Benchmark 2 |
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| GLE 0106.1.7 Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. | Connections P.132-135 |
|
Ch
2 Mathematical Content Areas See narrative preceding each strand NPO Gr 4: 3f |
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| GLE 0106.1.8 Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. | Representation
Standard P.136-141 |
Numbers
and Operations and Algebra p.13 |
N.K.4.b,c,d p. 2 N.1.2.b p. 5 N.1.3.a,d p. 5-6 M.1.1.c p. 7 PS1.1 p. 7 A.1.1.b p. 8 |
NPO Gr 4: 1b, e; 3b, c MEAS Gr 4: 1b, c GEO Gr 4: 1b; 5a |
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| 2 | GLE 0206.1.1 Use mathematical language, symbols, and definitions while developing mathematical reasoning. | Numbers
and Operations P.78 Communication Standard P.128 -131 |
Numbers
and Operations and Algebra p.14 |
N.2.2.c p. 10 N.2.3.a,d p. 11 |
NPO Gr 4: 6a ALG Gr 4: 3a |
Standard
1 Level I, Benchmark 2, 3 |
|
| GLE 0206.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. | Problem
Solving P.116 – 121 Measurement P.102-106 |
Numbers
and Operations and Algebra p.14 |
N.2.3.a,c,d p. 11 M.2.1.a,c p. 12-13 PS.2.1.b p. 13 PS.2.3.c p. 14 |
NPO Gr 4: 2b, c; 3f |
Standard
1 Level I, Benchmark 1-5 Standard 3 Level I, Benchmark 3 |
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| GLE 0206.1.3 Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. | Reasoning
and Proof P.122-126 Communication Standard P.128 – 131 |
Numbers
and Operations and Algebra p.14 |
N.2.3.a p. 10 A.2.3.a p. 16 |
NPO Gr 4: 3a, b, c, e |
Standard
3 Level I, Benchmark 1, 2, 4 |
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| GLE 0206.1.4 Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. | Algebra P.90-95 Connections Standard P.132-135 |
Numbers
and Operations and Algebra p.14 |
N.2.2.b p. 10 N.2.3.b,d p. 11 N.2.4.d p. 12 PS.2.3.c p. 14 G.2.2 p. 15 A.2.3.a p. 16 |
NPO Gr 4: 1b, e DASP Gr 4: 4g ALG Gr 4: 2a |
Standard
1 Level I, Benchmark 1-5 |
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| GLE 0206.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. | Representation
Standard P.136-141 Data Analysis and Probability P.108-114 Geometry P.96- 101 |
Numbers
and Operations and Algebra P.14 |
N.2.1.d p. 10 N.2.3.d p. 11 N.2.4.a p. 11 PS.2.3.b,c p. 14 A.2.1.a,b p. 15 |
GEO Gr 4: 3a DASP Gr 4: 1a, b ALG Gr 4: 1a, b, d; 2c |
Standard
1 Level I, Benchmarks 1-5 Standard 5 Level I, Benchmark IV Standard 6 Level II, Benchmark 5 Standard 8 Level I, Benchmark 1, 2 |
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| GLE 0206.1.6 Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. | Communication
Standard P.128-131 |
Numbers
and Operations and Algebra P.14 |
N.2.2.c p. 10 N.2.3.a,d p. 10-11 A.2.3.a p. 16 |
NPO Gr 4: 6a GEO Gr 4: 5 a ALG Gr 4: 1b, 3a |
Standard
1 Level I, Benchmark 2, 3 Standard 3 Level I, Benchmark 3 Standard 5 Level I, Benchmark 2 |
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| GLE 0206.1.7 Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. | Connections P.132-135 |
Numbers
and Operations and Algebra P.14 |
Ch
2 Mathematical Content Areas See narrative preceding each strand NPO Gr 4: 3f |
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| GLE 0206.1.8 Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. | Representation
Standard P.136-141 |
Numbers
and Operations and Algebra P.14 |
N.2.2.b p. 10 N.2.3.a,b,d p. 10-11 N.2.4.d p. 12 PS.2.2.a p. 14 PS.2.3.c p. 14 G.2.2 p. 15 A.2.1.b p. 15 A.2.3.a p. 16 |
NPO Gr 4: 1b, e; 3b, c MEAS Gr 4: 1b, c GEO Gr 4: 1b; 5a |
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| 3 | GLE 0306.1.1 Use mathematical language, symbols, and definitions while developing mathematical reasoning. | Numbers
and Operations p.148-156 Communication P.194-199 |
Numbers
and Operations, Algebra and Geometry P.15 |
N.3.1.c p. 16 N.3.3.a p.18 |
NPO Gr 4: 6a ALG Gr 4: 3a |
Standard
1 Level II, Benchmark 6, 7, 8 Standard 3 Level II, Benchmark 9 Standard 5 Level II, Benchmark 1 |
|
| GLE 0306.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. | Problem
Solving P.182-187 Measurement P.170-175 |
Numbers
and Operations, Algebra and Geometry P.15 |
N.3.1.e,f,g p. 17 N.3.3.a,c p. 18 N.3.2.e p. 18 |
NPO Gr 4: 2b, c; 3f |
Standard
1 Level II, Benchmark 1, 4, 5, 7 Standard 3 Level II, Benchmark 4 |
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| GLE 0306.1.3 Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. | Reasoning
and Proof P.188-192 Communication Standard P.194-199 |
Geometry P.15 |
N.3.2.b p. 17 G.3.4.b p. 25 |
NPO Gr 4: 3a, b, c, e |
Standard
3 Level II, Benchmark 1- 9 |
||
| GLE 0306.1.4 Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. | Algebra P.158-163 Connections Standard P.200-205 |
Numbers
and Operations and Algebra P.15 |
N.3.1.g p. 17 N.3.2.e p. 18 N.3.3.b p. 18 N.3.5.c p. 20 G.3.4.a p. 25 |
NPO Gr 4: 1b, e DASP Gr 4: 4g ALG Gr 4: 2a |
Standard
1 Level II, Benchmarks 1, 2, 3 |
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| GLE 0306.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. | Representation
Standard P.206-209 Data Analysis and Probability P.176-181 Geometry P.164-169 |
Numbers
and Operations, Algebra and Geometry P.15 |
N.3.2.c p. 17 N.3.3.b p. 18 A.3.1.c p. 26 |
GEO Gr 4: 3a DASP Gr 4: 1a, b ALG Gr 4: 1a, b, d; 2c |
Standard
8 Level II, Benchmark 1, 2 Standard 6 Level II, Benchmark 2 |
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| GLE 0306.1.6 Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. | Communication
Standard P.194-199 |
Numbers
and Operations, Algebra and Geometry P.15 |
N.3.1.c p. 16 N.3.2.b p. 17 N.3.3.a p.18 G.3.4.b p. 25 |
NPO Gr 4: 6a GEO Gr 4: 5 a ALG Gr 4: 1b, 3a |
Standard
1 Level II. Benchmark 6 Standard 3 Level II, Benchmark 9 Standard 5 Level II, Benchmark 1 |
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| GLE 0306.1.7 Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. | Connections P.200-205 |
|
N.3.3 p. 18 |
Ch
2 Mathematical Content Areas See narrative preceding each strand NPO Gr 4: 3f |
Standard
9 Level II, Benchmark 2 |
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| GLE 0306.1.8 Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. | Representation
Standard P.206-209 |
Geometry P.15 |
N.3.1.g p. 17 N.3.2.e p. 18 N.3.3.b,c p. 18 N.3.5.c p. 20 N.4.1.d p.26 G.3.4.a p. 25 |
NPO Gr 4: 1b, e; 3b, c MEAS Gr 4: 1b, c GEO Gr 4: 1b; 5a |
Standard
1 Level II, Benchmark 1 |
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| 4 | GLE 0406.1.1 Use mathematical language, symbols, and definitions while developing mathematical reasoning. | Numbers
and Operations p.148-156 Communication P.194-199 |
Numbers
and Operations and Algebra and Measurement P.16 |
A.4.3.a p. 27 N.4.5.d p. 30 |
NPO Gr 4: 6a ALG Gr 4: 3a |
Standard
1 Level II, Benchmark 6, 7, 8 Standard 3 Level II, Benchmark 9 Standard 5 Level II, Benchmark 1 |
|
| GLE 0406.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. | Problem
Solving P.182-187 Measurement P.170-175 |
Numbers
and Operations and Algebra and Measurement P.16 |
N.4.2 p. 26 N.4.8.a,c,d,e,f p. 31-32 PS.4.1.a p. 33 |
NPO Gr 4: 2b, c; 3f |
Standard
1 Level II, Benchmark 1, 4, 5, 7 Standard 3 Level II, Benchmark 4 |
||
| GLE 0406.1.3 Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. | Reasoning
and Proof P.188-192 Communication Standard P.194-199 |
Numbers
and Operations and Algebra and Measurement P.16 |
A.4.1.a p. 26 N.4.4.a,b p. 27 PS4.1.a p. 33 |
NPO Gr 4: 3a, b, c, e |
Standard
3 Level II, Benchmark 1- 9 |
||
| GLE 0406.1.4 Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. | Algebra P.158-163 Connections Standard P.200-205 |
Numbers
and Operations and Algebra and Measurement P.16 |
N.4.5.c p. 29 N.4.7.b p. 31 N.4.8.d p. 32 |
NPO Gr 4: 1b, e DASP Gr 4: 4g ALG Gr 4: 2a |
Standard
1 Level II, Benchmarks 1, 2, 3 |
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| GLE 0406.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. | Representation
Standard P.206-209 Data Analysis and Probability P.176-181 Geometry P.164-169 |
Numbers
and Operations and Algebra and Measurement P.16 |
N.5.4.a,b p. 37 M.5.1.b,e p. 42 PS.5.1 p.42 G.5.1.c p. 43 A.5.2.a p. 46 |
GEO Gr 4: 3a DASP Gr 4: 1a, b ALG Gr 4: 1a, b, d; 2c |
Standard
8 Level II, Benchmark 1, 2 Standard 6 Level II, Benchmark 2 |
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| GLE 0406.1.6 Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. | Communication
Standard P.194-199 |
Numbers
and Operations and Algebra and Measurement P.16 |
A.4.1.a p. 26 A.4.3.a p. 27 N.4.4.a,b p. 27 N.4.5.d p. 30 PS4.1.ap. 33 |
NPO Gr 4: 6a GEO Gr 4: 5 a ALG Gr 4: 1b, 3a |
Standard
1 Level II, Benchmark 6 Standard 3 Level II, Benchmark 9 Standard 5 Level II, Benchmark 1 |
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| GLE 0406.1.7 Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. | Connections P.200-205 |
|
N.4.8.a,d,f p. 31 |
Ch
2 Mathematical Content Areas See narrative preceding each strand NPO Gr 4: 3f |
Standard
9 Level II, Benchmark 2 |
||
| GLE 0406.1.8 Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. | Representation
Standard P.206-209 |
Numbers
and Operations and Algebra and Measurement P.16 |
N.4.4.b p. 27 M.4.1.e p. 33 N.4.5.c p. 29 N.4.7.b p. 31 N.4.8.d p. 32 |
NPO Gr 4: 1b, e; 3b, c MEAS Gr 4: 1b, c GEO Gr 4: 1b; 5a |
Standard
1 Level II, Benchmark 1 |
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| 5 | GLE 0506.1.1 Use mathematical language, symbols, and definitions while developing mathematical reasoning. | Numbers
and Operations p.148-156 Communication P.194-199 |
Numbers
and Operations P.17 |
N.5.5.b p. 40 N.5.7.a p. 41 |
NPO Gr 8: 4c GEO Gr 8: 2e ALG Gr 8: 1a, b; 2a, b, f; 3c, d |
Standard
1 Level II, Benchmark 6, 7, 8 Standard 3 Level II, Benchmark 9 Standard 5 Level II, Benchmark 1 |
|
| GLE 0506.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. | Problem
Solving P.182-187 Measurement P.170-175 |
Numbers
and Operations and Algebra P.17 |
N.5.2.b,c p. 37 N.5.6.b p. 41 N.5.8.a,b,e p. 41 |
NPO Gr 8: 1g; 2b, c, d; 3f; 4c,d; 5c, d MEAS Gr 8: 1c, f, h, i; 2b, c; 3a GEO Gr 8: 1a; 3b, c DASP Gr 8: 1c; 4c ALG Gr 8: 4b,c |
Standard
1 Level II, Benchmark 1, 4, 5, 7 Standard 3 Level II, Benchmark 4 |
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| GLE 0506.1.3 Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. | Reasoning
and Proof P.188-192 Communication Standard P.194-199 |
Numbers
and Operations, Geometry, Measurement and Algebra P.17 |
N.5.2.a,b p. 36 N.5.4.b p. 38 G.5.4.a p. 44 |
NPO Gr 8: 3a, e; 6a GEO Gr 8: 2e DASP Gr 8: 2e ALG Gr 8: 4e, 5a |
Standard
3 Level II Benchmark 1- 9 |
||
| GLE 0506.1.4 Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. | Algebra P.158-163 Connections Standard P.200-205 |
Geometry,
Measurement and Algebra P.17 |
N.5.1 p. 36 N.5.4.a,b p. 38 N.5.8.a,d p. 41-42 G.52.a p. 43 |
|
NPO Gr 8: 1a, b, e, g, h; 4b, c; 6a GEO Gr8: 1c, e, f; 2e; 3c; 4d DASP Gr 8: 1a, d, e; 3g ALG Gr 8: 2a, f; 3b |
Standard
1 Level II, Benchmarks 1, 2, 3 |
|
| GLE 0506.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. | Representation
Standard P.206-209 Data Analysis and Probability P.176-181 Geometry P.164-169 |
Geometry,
Measurement and Algebra P.17 |
N.5.4.a,b p. 37 M.5.1.b,e p. 42 PS.5.1 p. 42 G.5.1.c p. 43 A.5.2.a p. 46 |
|
NPO Gr 8: 3f; 4c, d, f; 5c MEAS Gr 8: 1f, h, i; 2b; 3a GEO Gr 8: 1a; 3c, d DASP Gr 8; 1b, c; 2a; 4j ALG Gr 8: 1a, b, c, f; 2b, d; 4c |
Standard
8 Level II, Benchmark 1, 2 Standard 6 Level II, Benchmark 2 |
|
| GLE 0506.1.6 Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. | Communication
Standard P.194-199
| Numbers
and Operations, Algebra, Geometry and Measurement P.17 |
N.5.2.a,b p. 36 N.5.4.b p. 38 G.5.4.a p. 44 N.5.5.b p. 40 N.5.7.a p. 41 |
|
NPO Gr 8: 4c GEO Gr 8: 2e ALG Gr 8: 1a, b; 2a, b, f; 3c, d |
Standard 1 Level II, Benchmark 6 Standard 3 Level II, Benchmark 9 Standard 5 Level II, Benchmark 1 |
|
| GLE 0506.1.7 Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. | Connections P.200-205 |
|
N.5.8.a,b p. 41 |
|
Ch
2 Mathematical Content Areas See narrative preceding each strand NPO Gr 8: 1e, f; 2a; 3f MEAS Gr 8: 1f GEO Gr 8: 1a; 3c DASP Gr 8: 4b, j ALG Gr 8: 2f |
Standard
9 Level II, Benchmark 2 |
|
| GLE 0506.1.8 Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. | Representation
Standard P.206-209 |
Geometry,
Measurement and Algebra P.17 |
N.5.1 p. 36 N.5.2.b p. 36 N.5.3.a p. 37 N.5.4.a,b p. 38 N.5.8.a,d p. 41-42 G.52.a p. 43 |
|
NPO Gr 8: 1a, b, g, h; 2c; 3f; 4c, d MEAS Gr 8: 1f, h, i; 2b; 3a GEO Gr 8: 1f; 3b, c, d DASP Gr 8: 1b ALG Gr 8: 2d; 4a, c |
Standard
1 Level II, Benchmark 1 |
|
| 6 | GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical reasoning. | Numbers
and Operations p.214-221 Communication P.268-273 |
Numbers
and Operations and Algebra P.18 |
N.6.5.b p. 49 |
|
NPO Gr 8: 4c GEO Gr 8: 2e ALG Gr 8: 1a, b; 2a, b, f; 3c, d |
Standard
1 Level III, Benchmark 6, 7, 8, 9 |
| GLE 0606.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. | Problem
Solving P.256-261 Measurement P.240-247 |
Algebra P.18 |
N.6.5.b p. 49 A.6.2.b p. 53 |
|
NPO Gr 8: 1g; 2b, c, d; 3f; 4c,d; 5c, d MEAS Gr 8: 1c, f, h, i; 2b, c; 3a GEO Gr 8: 1a; 3b, c DASP Gr 8: 1c; 4c ALG Gr 8: 4b,c |
Standard
1 Level III, Benchmark 1, 2, 3, 4, 5, 9 Standard 3 Level III, Benchmark 8
| |
| GLE 0606.1.3 Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. | Reasoning
and Proof P.262-267 Communication Standard P.268-273 |
Algebra P.18 |
N.6.2.b p. 47 A.6.2.b p. 53 |
|
NPO Gr 8: 3a, e; 6a GEO Gr 8: 2e DASP Gr 8: 2e ALG Gr 8: 4e, 5a |
Standard
3 Level III, Benchmark 1, 2, 3, 5, 7, 9 |
|
| GLE 0606.1.4 Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. | Algebra P.222-231 Connections Standard P.274-279 |
Algebra P.18 |
N.6.4.c p. 48 N.6.5 p. 49 |
|
NPO Gr 8: 1a, b, e, g, h; 4b, c; 6a GEO Gr8: 1c, e, f; 2e; 3c; 4d DASP Gr 8: 1a, d, e; 3g ALG Gr 8: 2a, f; 3b |
Standard
1 Level III, Benchmark 5, 8 |
|
| GLE 0606.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. | Representation
Standard P.280-285 Data Analysis and Probability P.248-255 Geometry P.232-239 |
Algebra P.18 |
N.6.5.b p. 49 A.6.2.b p. 53 |
|
NPO Gr 8: 3f; 4c, d, f; 5c MEAS Gr 8: 1f, h, i; 2b; 3a GEO Gr 8: 1a; 3c, d DASP Gr 8; 1b, c; 2a; 4j ALG Gr 8: 1a, b, c, f; 2b, d; 4c |
Standard
1 Level III, Benchmarks 1, 2, 3, 4, 5, 6 Standard 6 Level III, Benchmark 4, 6, 8 Standard 8 Level III, Benchmark 3 |
|
| GLE 0606.1.6 Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. | Communication
Standard P.268-273 |
Numbers
and Operations P.18 |
N.6.2.b p. 47 N.6.5.b p. 49 A.6.2.b p. 53 |
|
NPO Gr 8: 4c GEO Gr 8: 2e ALG Gr 8: 1a, b; 2a, b, f; 3c, d |
Standard
1 Level III, Benchmarks 6, 7, 8, 9 |
|
| GLE 0606.1.7 Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. | Connections P.274-279 |
|
N.6.2.d p. 47 N.6.4.c p. 48 N.6.5.b p. 49 |
|
Ch
2 Mathematical Content Areas See narrative preceding each strand NPO Gr 8: 1e, f; 2a; 3f MEAS Gr 8: 1f GEO Gr 8: 1a; 3c DASP Gr 8: 4b, j ALG Gr 8: 2f |
Standard
9 Level III, Benchmarks 1, 2 |
|
| GLE 0606.1.8 Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. | Representation
Standard P.280-285 |
Numbers
and Operations and Algebra P.18 |
N.6.4.c p. 48 N.6.5.b p. 49 A.6.2.a p. 53 |
|
NPO Gr 8: 1a, b, g, h; 2c; 3f; 4c, d MEAS Gr 8: 1f, h, i; 2b; 3a GEO Gr 8: 1f; 3b, c, d DASP Gr 8: 1b ALG Gr 8: 2d; 4a, c |
Standard
1 Level III, Benchmark 4, 5 |
|
| 7 | GLE 0706.1.1 Use mathematical language, symbols, and definitions while developing mathematical reasoning. | Numbers
and Operations p.214-221 Communication P.268-273 |
Numbers
and Operations, Algebra and Geometry P.19 |
D.C.2.a p. 11 |
|
NPO Gr 8: 4c GEO Gr 8: 2e ALG Gr 8: 1a, b; 2a, b, f; 3c, d |
Standard
1 Level III Benchmark 6, 7, 8, 9 |
| GLE 0706.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. | Problem
Solving P.256-261 Measurement P.240-247 |
Numbers
and Operations, Algebra and Geometry P.19 |
N.B.1.a,b p. 4 A.A.5.e p. 20 |
|
NPO Gr 8: 1g; 2b, c, d; 3f; 4c,d; 5c, d MEAS Gr 8: 1c, f, h, i; 2b, c; 3a GEO Gr 8: 1a; 3b, c DASP Gr 8: 1c; 4c ALG Gr 8: 4b,c |
Standard
1 Level III Benchmark 1, 2, 3, 4, 5, 9 Standard 3 Level III Benchmark 8
| |
| GLE 0706.1.3 Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. | Reasoning
and Proof P.262-267 Communication Standard P.268-273 |
Measurement,
Geometry and Algebra P.19 |
N.A.1.d p. 2 D.C.1.a p. 10 A.A.5.d p. 20 |
|
NPO Gr 8: 3a, e; 6a GEO Gr 8: 2e DASP Gr 8: 2e ALG Gr 8: 4e, 5a |
Standard
3 Level III, Benchmark 1, 2, 3, 5, 7, 9 |
|
| GLE 0706.1.4 Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. | Algebra P.222-231 Connections Standard P.274-279 |
Measurement,
Geometry and Algebra P.19 |
A.A.3.e p. 17 A.A.5.e p. 20 D.C.2.a p. 11 |
|
NPO Gr 8: 1a, b, e, g, h; 4b, c; 6a GEO Gr8: 1c, e, f; 2e; 3c; 4d DASP Gr 8: 1a, d, e; 3g ALG Gr 8: 2a, f; 3b |
Standard
1 Level III, Benchmark 5, 8 |
|
| GLE 0706.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. | Representation
Standard P.280-285 Data Analysis and Probability P.248-255 Geometry P.232-239 |
Numbers
and Operations, Algebra and Geometry P.19 |
A.A.2.b p. 16 A.A.5.e p. 20 |
|
NPO Gr 8: 3f; 4c, d, f; 5c MEAS Gr 8: 1f, h, i; 2b; 3a GEO Gr 8: 1a; 3c, d DASP Gr 8; 1b, c; 2a; 4j ALG Gr 8: 1a, b, c, f; 2b, d; 4c |
Standard
1 Level III, Benchmarks 1, 2, 3, 4, 5, 6 Standard 6 Level III, Benchmark 4, 6, 8 Standard 8 Level III, Benchmark 3 |
|
| GLE 0706.1.6 Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. | Communication
Standard P.268-273 |
Numbers
and Operations, Algebra and Geometry P.19 |
D.C.2.a p. 11 |
|
NPO Gr 8: 4c GEO Gr 8: 2e ALG Gr 8: 1a, b; 2a, b, f; 3c, d |
Standard
1 Level III, Benchmarks 6, 7, 8, 9 |
|
| GLE 0706.1.7 Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. | Connections
Standard P.274-279 |
|
A.A.1.c p. 15 A.A.5.e p. 20
|
|
Ch
2 Mathematical Content Areas See narrative preceding each strand NPO Gr 8: 1e, f; 2a; 3f MEAS Gr 8: 1f GEO Gr 8: 1a; 3c DASP Gr 8: 4b, j ALG Gr 8: 2f |
Standard
9 Level III, Benchmarks 1, 2 |
|
| GLE 0706.1.8 Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. | Representation
Standard P.280-285 |
Numbers
and Operations, Algebra and Geometry P.19 |
D.C.1.a p. 10 A.A.4.c p. 18 PS.B.2.f p. 47 |
|
NPO Gr 8: 1a, b, g, h; 2c; 3f; 4c, d MEAS Gr 8: 1f, h, i; 2b; 3a GEO Gr 8: 1f; 3b, c, d DASP Gr 8: 1b ALG Gr 8: 2d; 4a, c |
Standard
1 Level III, Benchmark 4, 5 |
|
| 8 | GLE 0806.1.1 Use mathematical language, symbols, and definitions while developing mathematical reasoning. | Numbers
and Operations p.214-221 Communication P.268-273 |
Algebra,
Geometry, Measurement ,Data Analysis, Numbers and Operations P.20 |
D.C.2.a p. 11 |
|
NPO Gr 8: 4c GEO Gr 8: 2e ALG Gr 8: 1a, b; 2a, b, f; 3c, d |
Standard
1 Level III, Benchmark 6, 7, 8, 9 |
| GLE 0806.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. | Problem
Solving P.256-261 Measurement P.240-247 |
Algebra,
Geometry, Measurement ,Data Analysis, Numbers and Operations P.20 |
N.B.1.a,b p. 4 A.A.5.e p. 20 |
|
NPO Gr 8: 1g; 2b, c, d; 3f; 4c,d; 5c, d MEAS Gr 8: 1c, f, h, i; 2b, c; 3a GEO Gr 8: 1a; 3b, c DASP Gr 8: 1c; 4c ALG Gr 8: 4b,c |
Standard
1 Level III, Benchmark 1, 2, 3, 4, 5, 9 Standard 3 Level III, Benchmark 8
|
|
| GLE 0806.1.3 Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. | Reasoning
and Proof P.262-267 Communication Standard P.268-273 |
Algebra,
Geometry, Measurement ,Data Analysis, Numbers and Operations P.20 |
N.A.1.d p. 2 D.C.1.a p. 10 A.A.5.d p. 20 |
|
NPO Gr 8: 3a, e; 6a GEO Gr 8: 2e DASP Gr 8: 2e ALG Gr 8: 4e, 5a |
Standard
3 Level III, Benchmark 1, 2, 3, 5, 7, 9 |
|
| GLE 0806.1.4 Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. | Algebra P.222-231 Connections Standard P.274-279 |
Algebra,
Geometry, Measurement ,Data Analysis, Numbers and Operations P.20 |
A.A.3.e p. 17 A.A.5.e p. 20 D.C.2.a p. 11 |
|
NPO Gr 8: 1a, b, e, g, h; 4b, c; 6a GEO Gr8: 1c, e, f; 2e; 3c; 4d DASP Gr 8: 1a, d, e; 3g ALG Gr 8: 2a, f; 3b |
Standard
1 Level III, Benchmark 5, 8 |
|
| GLE 0806.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. | Representation
Standard P.280-285 Data Analysis and Probability P.248-255 Geometry P.232-239 |
Algebra,
Geometry, Measurement ,Data Analysis, Numbers and Operations P.20 |
A.A.2.b p. 16 A.A.5.e p. 20 |
|
NPO Gr 8: 3f; 4c, d, f; 5c MEAS Gr 8: 1f, h, i; 2b; 3a GEO Gr 8: 1a; 3c, d DASP Gr 8; 1b, c; 2a; 4j ALG Gr 8: 1a, b, c, f; 2b, d; 4c |
Standard
1 Level III, Benchmarks 1, 2, 3, 4, 5, 6 Standard 6 Level III, Benchmark 4, 6, 8 Standard 8 Level III, Benchmark 3 |
|
| GLE 0806.1.6 Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. | Communication
Standard P.268-273 |
Algebra,
Geometry, Measurement ,Data Analysis, Numbers and Operations P.20 |
D.C.2.a p. 11 |
|
NPO Gr 8: 4c GEO Gr 8: 2e ALG Gr 8: 1a, b; 2a, b, f; 3c, d |
Standard
1 Level III, Benchmarks 6, 7, 8, 9 |
|
| GLE 0806.1.7 Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. | Connections P.274-279 |
|
A.A.1.c p. 15 A.A.5.e p. 20 |
|
Ch
2 Mathematical Content Areas See narrative preceding each strand NPO Gr 8: 1e, f; 2a; 3f MEAS Gr 8: 1f GEO Gr 8: 1a; 3c DASP Gr 8: 4b, j ALG Gr 8: 2f |
Standard
9 Level III, Benchmarks 1, 2 |
|
| GLE 0806.1.8 Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. | Representation
Standard P.280-285 |
Algebra,
Geometry, Measurement ,Data Analysis, Numbers and Operations P.20 |
D.C.1.a p. 10 A.A.4.c p. 18 PS.B.2.f p. 47 |
|
NPO Gr 8: 1a, b, g, h; 2c; 3f; 4c, d MEAS Gr 8: 1f, h, i; 2b; 3a GEO Gr 8: 1f; 3b, c, d DASP Gr 8: 1b ALG Gr 8: 2d; 4a, c |
Standard
1 Level III, Benchmark 4, 5 |
|
Mathematics Standard 2.0: Number and Operations |
|||||||
| Grade Level Expectations | PSSM | Focal Points | ACHIEVE | ACT | NAEP | MCREL | |
| K | GLE 0006.2.1 Count objects in a set and use numbers, including written numerals to 25. | Numbers
and Operations Pg 79-82 |
Number
and Operations Pg 12 |
N.K.1a,
b p. 1 |
|
NPO Gr 4: 1e |
Standard
2 Level Pre-K, Benchmark 3, 4 Level I, Benchmark 3 |
| GLE 0006.2.2 Create, represent and recognize a set with a given number of objects. | Numbers
and Operations Pg 70-82 |
Number
and Operations Pg 12 |
|
NPO Gr 4: 1b |
Standard
2 Level I, Benchmark 1, 3 |
||
| GLE 0006.2.3 Recognize, compare and order sets of numerals by using both cardinal and ordinal meanings. | Numbers
and Operations Pg 70-82 |
Number
and Operations Pg 12 |
N.K.1b,c,e p. 1 |
|
NPO Gr 4: 1i |
Standard
2 Level Pre-K, Benchmark 5, 7 Level I, Benchmark 2, 4 |
|
| GLE 0006.2.4 Understand addition as “putting together” and subtraction as “breaking apart.” | Numbers
and Operations Pg 83-88 |
Number
and Operations Pg 12 |
N.K.4 p. 2 |
|
NPO Gr 4: 1e |
Standard
3 Level Pre-K, Benchmark 1 Standard 3 Level I, Benchmark 1, 4 |
|
| GLE 0006.2.5 Model the numbers 1 through 10 as sums or differences of different sets of whole numbers (composing and decomposing numbers). | Numbers
and Operations Pg 83-88 |
Number
and Operations Pg 12 |
N.K.5a p. 2 |
|
NPO Gr 4: 1d |
Standard
3 Level I, Benchmark 1 |
|
| 1 | GLE 0106.2.1 Understand and use number notation and place value to 100. | Numbers
and Operations P.81 |
Numbers
and Operations P.13 |
N.1.1.c p.4 |
NCP (SR16-19) | NPO Gr 4: 1a |
Standard
2 Level I, Benchmark 1, 3 Level II, Benchmark 4 |
| GLE 0106.2.2 Compare and order whole numbers to 100. | Numbers
and Operations P.79-80 |
Numbers
and Operations P.13 |
N.1.2.c p.5 |
|
NPO Gr 4: 1i |
Standard
2 Level I, Benchmark 2, 3, 4 Level II, Benchmark 5, 6 |
|
| GLE 0106.2.3 Develop strategies for learning basic addition facts and related subtraction facts. | Numbers
and Operations P.84-85 |
Numbers
and Operations P.13 |
N.1.3.a p. 5 |
BOA(SR13-15) | NPO Gr 4: 3a |
Standard
3 Level I, Benchmark 1, 4 |
|
| GLE 0106.2.4 Use multiple representations (including groups of ten) to model two-digit addition and subtraction. | Numbers
and Operations P.86-88 |
Numbers
and Operations P.13 |
N1.1.3.c p.6 |
BOA(SR13-15) | NPO Gr 4: 1c |
|
|
| 2 | GLE 0206.2.1 Understand and use place value concepts to 1000. | Numbers
and Operations P.81 |
Numbers
and Operations P.14 |
N.2.1 p.9 |
NCP(SR16-19) |
|
Standard
2 Level II, Benchmark 4 |
| GLE 0206.2.2 Understand and use the base-ten numeration system. | Numbers
and Operations P.79-80 |
Numbers
and Operations P.14 |
N.2.1.d p.10 |
|
NPO Gr 4: 1c |
Standard
2 Level II, Benchmark 4 Standard 5 Level IV Benchmark 4, 6 | |
| GLE 0206.2.3 Use efficient and accurate strategies to develop fluency with multi-digit addition and subtraction. | Numbers
and Operations P.84-85 |
Numbers
and Operations P.14 |
N.2.3 p. 10 -11 |
BOA(SR13-15) | NPO Gr 4: 3a |
|
|
| GLE 0206.2.4 Develop an initial understanding of multiplication. | Numbers
and Operations P.86-88 |
N.2.4 p.11 |
|
NPO Gr 4: 3b |
Standard
3 Level II, Benchmarks 7, 9 | Standard 3 Level IV Benchmark 3 Standard 4 Level IV Benchmark 2 | |
| 3 | GLE 0306.2.1 Understand the place value of whole numbers to ten-thousands place including expanded notation for all arithmetic operations. | Numbers
and Operations P.149-150 |
|
N.3.1 p. 16 |
NCP(SR16-19) | NPO Gr 4: 1a, c |
Standard
2 Level II Benchmark 4 |
| GLE 0306.2.2 Develop understanding of multiplication and related division facts through multiple strategies and representations. | Numbers
and Operations P.151-152 |
Numbers
and Operations P.15 |
N.3.2 p.17 |
BOA(SR 13-15) | NPO Gr 4: 3b, c, e |
Standard
3 Level II. Benchmarks 7, 9 |
|
| GLE 0306.2.3 Relate multiplication and division as inverse operations. | Numbers
and Operations P.151-152 |
Numbers
and Operations P.15 |
N.3.2.a,b p.17 |
BOA(SR 13-15) | NPO Gr 4: 3b, c, e |
Standard
3 Level II, Benchmarks 7, 9 |
|
| GLE 0306.2.4 Solve multiplication and division problems using various representations. | Numbers
and Operations P.152-154 |
Numbers
and Operations P.15 |
N.3.2.e p.18 |
BOA(SR 13-15) | NPO Gr 4: 3f |
Standard
3 Level II, Benchmarks 7, 9 |
|
| GLE 0306.2.5 Understand the meaning and uses of fractions. | Numbers
and Operations P.150 |
Numbers
and Operations P.15 |
N.3.4 N.3.5 p.18 -19 |
BOA(SR 16-19) | NPO Gr 4: 1e |
Standard
2 Level I, Benchmark 5 Level II, Benchmarks 2,5 |
|
| GLE 0306.2.6 Use various strategies and models to compare and order fractions and identify equivalent fractions. | Numbers
and Operations P.150 |
Numbers
and Operations P.15 |
N.3.5 p.19 N.3.6.c p. 21 |
NCP(SR 13-15 and SR 24-27) | NPO Gr 4: 1i; 2a |
Standard
2 Level II, Benchmark 2, 5 Level III, Benchmark 2 |
|
| GLE 0306.2.7 Add and subtract fractions with like denominators using various models. | Numbers
and Operations P.150 |
|
N.3.6 p.21 |
BOA(SR 16-19) | NPO Gr 4: 3a |
Standard
3 Level II. Benchmark 3 |
|
| 4 | GLE 0406.2.1 Understand place value of numbers from hundredths to the hundred-thousands place. | Numbers
and Operations P.149-150 |
Numbers
and Operations P.16 |
N.4.1.b p.26 N.4.7 p.30 - 31 |
NCP(SR16-19) | NPO Gr 4: 1a |
Standard
2 Level II, Benchmark 4 |
| GLE 0406.2.2 Develop fluency with multiplication and single-digit division. | Numbers
and Operations P.151-152 |
Numbers
and Operations P.16 |
N.4.4 p.27 |
BOA(SR 13-15) | NPO Gr 4: 3a, c |
Standard
3 Level II, Benchmark 5 |
|
| GLE 0406.2.3 Identify prime and composite numbers. | Numbers
and Operations P.149-150 |
|
N.4.3.a p.27 |
NCP (SR 16-19, SR 20-23) | NPO Gr 8: 5c |
Standard
2 Level III, Benchmark 1 |
|
| GLE 0406.2.4 Understand and use the connections between fractions and decimals. | Numbers
and Operations P.149-150 |
Numbers
and Operations P.16 |
N.4.7.c p.31 |
|
NPO Gr 4: 1e, I; 2a Gr 8: 1e |
Standard
2 Level II, Benchmark 2, 5 |
|
| GLE 0406.2.5 Add and subtract fractions with like and unlike denominators. | Numbers
and Operations P.152-156 |
|
N.4.6 p.30 |
BOA (SR 16-19) | NPO Gr 4: 3a |
Standard
3 Level II, Benchmark 3 Level III, Benchmark 2 |
|
| GLE 0406.2.6 Solve problems involving whole numbers, fractions, and/or decimals using all four arithmetic operations. | Numbers
and Operations P.152-156 |
|
N.4.8 p.31- 32 |
BOA (SR 16-19) | NPO Gr 4: 3f |
Standard
3 Level II, Benchmark 1, 2, 3, 8 |
|
| 5 | GLE 0506.2.1 Extend the understanding of place value through millions and millionths in various contexts and representations. | Numbers
and Operations P.149-151 |
Numbers
and Operations P.17 |
|
NCP(SR16-19) | NPO Gr 8: 1a |
Standard
2 Level II, Benchmark 4 |
| GLE 0506.2.2 Write natural numbers (to 50) as a product of prime factors and understand that this is unique (apart from order). | Numbers
and Operations P.149-150 |
|
N.5.1 p. 36 |
NCP (SR 28-32) | NPO |
Standard
2 Level II, Benchmark 1 |
|
| GLE 0506.2.3 Develop fluency with division of whole numbers. Understand the relationship of divisor, dividend, and quotient in terms of multiplication and division. | Numbers
and Operations P.152-156 |
Numbers
and Operations P.17 |
N.5.2 p. 36 - 37 |
|
|
Standard
3 Level II, Benchmark 9 |
|
| GLE 0506.2.4 Develop fluency with addition and subtraction of proper and improper fractions and mixed numbers; explain and model the algorithm. | Numbers
and Operations P.152-156 |
Numbers
and Operations P.17 |
N.5.3 p. 37 |
|
NPO Gr 8: 3a |
|
|
| GLE 0506.2.5 Develop fluency in solving multi-step problems using whole numbers, fractions, mixed numbers, and decimals. | Numbers
and Operations P.152-156 |
Numbers
and Operations P.17 |
N.5.8 p.41- 42 |
BOA (SR 16-19) | NPO Gr 8: 3f |
Standard
3 Level II, Benchmark 8 Level III, Benchmarks 1, 2 |
|
| 6 | GLE 0606.2.1 Understand and explain the procedures for multiplication and division of fractions, mixed numbers, and decimals. | Numbers
and Operations P.218-220 |
Numbers
and Operations P.18 |
N.5.4 p.37 – 39 N.5.6 p.41 N.5.8.e p. 42 N.6.2 p.47 |
BOA (SR 16-19) | NPO Gr 8: 6b |
Standard
3 Level II, Benchmark 8 Level III, Benchmarks 1, 2, 7, 9 |
| GLE 0606.2.2 Solve multi-step mathematical, contextual and verbal problems using fractions, mixed numbers, and decimals. | Numbers
and Operations P.220-221 |
Numbers
and Operations and Algebra P.18 |
N.4.6 p.31 |
BOA (SR 20-23) | NPO Gr 8: 3f |
Standard
1 Level III, Benchmark 1, 2 |
|
| GLE 0606.2.3 Understand and use ratios, rates and percents. | Numbers
and Operations P.220-221 |
Numbers
and Operations P.18 |
N.6.3 p.48 |
BOA (SR 16-19, SR 20-23, SR 28 – 32) | NPO Gr 8: 1e; 4a, b, c, d MEAS Gr 8: 1i ALG Gr 8: 4d |
Standard
1 Level III, Benchmark 9 Standard 2 Level III, Benchmarks 1, 7 Standard 3 Level III, Benchmark 6 Standard 4 Level III, Benchmark 1 |
|
| GLE 0606.2.4 Understand and convert between fraction, decimal, and percent forms of rational numbers. | Numbers
and Operations P.215-217 |
Numbers
and Operations P.18 |
N.6.3.b p.48 N.A.1 p.1 - 2 |
|
NPO Gr 8: 1e |
Standard
2 Level III, Benchmark 1 |
|
| GLE 0606.2.5 Develop meaning for integers; represent and compare quantities with integers. | Numbers
and Operations P.215-217 |
Algebra P.18 |
N.6.1 p.46 |
|
NPO Gr 8: 1a, h, i |
Standard
2 Level III, Benchmark 2, 3 |
|
| 7 | GLE 0706.2.1 Extend understandings of addition, subtraction, multiplication and division to integers. | Numbers
and Operations P.215-217 |
Algebra
and Numbers and Operations P.19 |
A.6.1 p.52 |
|
NPO Gr 8: 3a |
Standard
3 Level III, Benchmark 1 |
| GLE 0706.2.2 Understand and work with the properties of and operations on the system of rational numbers. | Numbers
and Operations P.218-219 |
Algebra
and Numbers and Operations P.19 |
N.6.5 p.49 N.A.1.d p.2 |
NCP (SR 28-32, 33-36) | NPO Gr 8: 3a, e; 5e |
Standard
3 Level III, Benchmark 7 |
|
| GLE 0706.2.3 Develop an understanding of and apply proportionality. | Numbers
and Operations P.220-221 |
Algebra
, Geometry and Numbers and Operations P.19 |
N.B.1.a p.4 |
EEI(SR
24-27) BOA (SR 20-23, SR 28-32) |
NPO Gr 8: 4b, c GEO Gr 8: 2e, f ALG Gr 8: 2f |
Standard
1 Level III, Benchmark 9 Standard 2 Level III, Benchmark 7 Standard 3 Level III, Benchmark 6 |
|
| GLE 0706.2.4 Use ratios, rates and percents to solve single- and multi-step problems in various contexts. | Numbers
and Operations P.220-221 |
Numbers
and Operations, Algebra and Geometry P.19 |
N.6.5 p.49 N.A.4 p. 3 N.B.1.a p.4 |
BOA (SR 16-19, SR 20-23, SR 28 – 32) | NPO Gr 8: 1e; 4a, b, c, d MEAS Gr 8: 1i ALG Gr 8: 4d |
Standard
1 Level III, Benchmark 9 Standard 2 Level III, Benchmark 7 Standard 3 Level III, Benchmark 6 |
|
| GLE 0706.2.5 Understand and work with squares, cubes, square roots and cube roots. | Numbers
and Operations P.218-220 |
Measurement,
Geometry and Algebra P.19 |
N.B.2 p. 4 - 5 |
NCP (SR 24-27) | NPO Gr 8: 2d Gr 12; 1d |
Standard
2 Level III, Benchmark 5 Standard 3 Level III, Benchmark 3 |
|
| GLE 0706.2.6 Introduce the concept of negative exponents. |
|
Numbers
and Operations and Algebra P.19 |
N.B.2.e p. 5 |
NCP (SR 28–32) | NPO Gr 8: 1f Gr 12: 1f |
|
|
| GLE 0706.2.7 Understand and use scientific notation. | Numbers
and Operations P.215-217 |
|
N.6.4.b p. 48 N.B.1.f p. 4 |
NCP (SR 24-27) | NPO Gr 8: 1f Gr 12: 1f |
Standard
2 Level III, Benchmark 5 |
|
| 8 | GLE 0806.2.1 Extend understanding of the real number system to include irrational numbers. | Numbers
and Operations P.218-220 |
|
N.B.3 p.5 - 6 |
|
NPO Gr 8: 2a Gr 12: 3b |
Standard
2 Level IV, Benchmark 1 |
| GLE 0806.2.2 Solve problems involving exponents and scientific notation using technology appropriately. | Numbers
and Operations P.215-217 |
|
N.B.1.f p. 4 |
NCP (SR 24-27, SR 28-32) |
|
|
|
| GLE 0806.2.3 Solve real-world problems using rational and irrational numbers. | Numbers
and Operations P.220-221 |
|
N.A.1.f p. 2 |
|
NPO Gr 8: 3f Gr 12: 3f |
|
|
| GLE 0806.2.4 Understand and use the laws of exponents. |
|
|
N.B.2.e p. 5 |
NCP (SR 24-27, SR 28-32) | ALG Gr 8: 3c |
Standard
2 Level III, Benchmark 5 Standard 3 Level III, Benchmark 3 |
|
Mathematics Standard 3.0: Algebra |
|||||||
| Grade Level Expectations | PSSM | Focal Points | ACHIEVE | ACT | NAEP | MCREL | |
| K | GLE 0006.3.1 Identify, duplicate, and extend simple number patterns and sequential and growing patterns. | Algebra Pg 91-95 |
Algebra Pg 12 |
N.K.1a p. 1 |
|
ALG Gr 4:1a,c,d |
Standard
8 Level Pre K, Benchmark 1,2 Standard 8 Level I, Benchmark 1,2 |
| GLE 0006.3.2 Recognize attributes (such as color, shape, size) and patterns (such as repeated pairs, bilateral symmetry). | Algebra Pg 91-95 |
Geometry Pg 12 |
A.K.1a p. 4 G.K.1b p. 4 |
|
GEO Gr 4: 1f, 2a, 3a ALG Gr 4:1a |
Standard
8 Level I, Benchmark 1 Standard 5 Level Pre-K, Benchmark 1 |
|
| GLE 0006.3.3 Describe qualitative change. | Algebra Pg 91-95 |
Algebra Pg 12 |
M.K.1a p. 3 |
|
MEAS Gr 4: 1b DASP Gr 4: 1a |
Standard
4 Level Pre-K, Benchmark 4 |
|
| 1 | GLE 0106.3.1 Identify, describe, and extend simple number patterns to develop strategies for adding and subtracting whole numbers. | Algebra P.91-92 |
Algebra P.13 |
A.1.1.b p. 8 |
NCP (SR 20-23) |
|
|
| GLE 0106.3.2 Understand that addition and subtraction are inverse operations. | Algebra P.93-93 |
Algebra P.13 |
A.1.3 p. 9 |
|
NPO Gr 4: 3e |
Standard
3 Level I, Benchmark 4 |
|
| GLE 0106.3.3 Extend the strategies for basic facts to include other properties of number and operations. | Algebra P.93-94 |
Algebra P.13 |
A.1.2.a p.8 - 9 |
|
ALG Gr 4: 5e |
|
|
| 2 | GLE 0206.3.1 Develop pattern recognition. | Algebra P.91 |
Algebra P.14 |
A.2.1 p. 15 |
NCP (SR 20-23) |
|
Standard
8 Level I, Benchmarks 1, 2 |
| GLE 0206.3.2 Extend knowledge of the properties of numbers and operations to multiplication. | Algebra P.93-94 |
|
A.2.2.b p.16 |
|
ALG Gr 4: 5e |
Standard
3 Level II, Benchmark 1 |
|
| GLE 0206.3.3 Solve simple arithmetic problems using various methods. | Algebra P.95 |
Algebra P.14 |
A.2.2.a p. 15 |
BOA (SR 13-15, SR 16-19) | NPO Grade 4: 3a |
Standard
1 Level I, Benchmark 1, 4, 5 Standard 3 Level I, Benchmark 2 |
|
| GLE 0206.3.4 Describe quantitative change. | Algebra P.95 |
Algebra P.14 |
N.1.2.c p. 5 |
|
ALG Grade 4: 1e |
Standard
2 Level Pre-K, Benchmark 7 Standard 3 Level I, Benchmark 3 Standard 4 Level Pre-K, Benchmark 4 |
|
| 3 | GLE 0306.3.1 Develop meaning for and apply the commutative, associative, and distributive properties using various representations. | Algebra P.160-161 |
Algebra P.15 |
A.3.1.a p.25 – 26 N.4.4.a p.27 |
|
NPO Grade 4: 5e |
Standard
3 Level II, Benchmark 7 Level III, Benchmark 7 |
| GLE 0306.3.2 Develop understanding that a letter or a symbol can represent an unknown quantity in a simple mathematical expression/equation. | Algebra P.160-161 |
|
A.3.1.b p. 26 |
EEI (SR 16-19 and SR 24-27) | ALG Grade 4:3 a |
Standard
8 Level 2, Benchmark 3 |
|
| GLE 0306.3.3 Describe and analyze patterns and relationships in contexts. | Algebra P.159 |
Algebra P.15 |
A.3.1.c p. 26 |
NCP (SR 20-23) | GEO Grade 4: 3a ALG Grade 4: 1a, b, |
Standard
8 Level II, Benchmarks 1, 2 |
|
| GLE 0306.3.4 Create and represent patterns using words, tables, graphs, and symbols. | Algebra P.159 |
Algebra P.15 |
A.3.1.c p.26 |
|
ALG Grade 4: 1c, d |
Standard
8 Level II, Benchmark 1, 2 |
|
| 4 | GLE 0406.3.1 Extend understanding of a variable to equations involving whole numbers, fractions, decimals, and/or mixed numbers. | Algebra P.160-161 |
Algebra P.16 |
A.4.1.b p.35 A.4.2 p. 35 |
EEI (SR 13-15, SR 20-23) | ALG Grade 4: 3b |
Standard
8 Level III, Benchmark 1 |
| GLE 0406.3.2 Use mathematical language and modeling to develop descriptions, rules and extensions of patterns. | Algebra P.162-163 |
Algebra P.16 |
A.3.1.c p. 26 |
|
ALG Grade 4: 1a, b, c, d |
Standard
8 Level II, Benchmark 1, 2 |
|
| GLE 0406.3.3 Translate between different forms of representations of whole number relationships. | Algebra P.162-163 |
Algebra P.16 |
N.4.1 p. 27 |
|
ALG Grade 4: 1e |
Standard
2 Level II, Benchmark 5 Level III, Benchmark 1 |
|
| 5 | GLE 0506.3.1 Understand and use order of operations. | Algebra P.160-161 |
Algebra P.17 |
A.5.2.b p.46 |
|
Standard
3 |
|
| GLE 0506.3.2 Develop and apply the concept of variable. | Algebra P.160-161 |
Algebra P.17 |
A.5.2.c p. 46 |
EEI (SR 16-19, SR 20-23 and SR 24-27) | ALG Gr 4: 3a, b Gr 8: 1a, b; 3b |
Standard
8 Level II, Benchmark 3 Level III, Benchmarks 1, 2, 3 |
|
| GLE 0506.3.3 Understand and apply the substitution property. | Algebra P.160-161 |
Algebra P.17 |
A.5.2.c p. 46 |
EEI (SR 16-19, SR 20-23 and SR 24-27) | ALG Gr 8: 4e |
Standard
8 Level III, Benchmark 8 |
|
| GLE 0506.3.4 Solve single-step linear equations and inequalities. | Algebra P.160-161 |
Algebra P.17 |
A.5.1 p. 45 |
EEI (SR 24-27, 28-32) | ALG Gr 4: 4a Gr 8: 3b: 4a |
Standard
8 Level II, Benchmark 5 Level III, Benchmark 5, 6 |
|
| 6 | GLE 0606.3.1 Write and solve two-step equations and inequalities. | Algebra P.225-227 |
Algebra P.18 |
|
EEI (SR 28-32, SR 33-36) | ALG Gr 8: 3b; 4a |
Standard
8 Level II, Benchmark 5 Level III, Benchmark 5, 6 |
| GLE 0606.3.2 Interpret and represent algebraic relationships with variables in expressions, simple equations and inequalities. | Algebra P.225-227 |
Algebra P.18 |
A.6.2.b p. 53 |
EEI (SR 28-32, SR 33-36) | ALG Gr 8: 3b; 4b, c |
Standard
8 Level III, Benchmark 1, 5, 6 |
|
| GLE 0606.3.3 Extend order of operations to include grouping symbols and exponents. | Algebra P.225-227 |
Algebra P.18 |
A.6.2.a p. 53 |
|
ALG Gr 8: 3c NPO Gr 12: 5e |
Standard
3 Level III, Benchmark 5 |
|
| GLE 0606.3.4 Use expressions, equations and formulas to solve problems. | Algebra P.227-231 |
Algebra |
A.6.2.b p. 53 |
EEI
(SR 24-27, SR 28-32) M (SR 20-23) |
ALG Gr 8: 4c |
Standard
8 Level III, Benchmark 1, 5, 6 Standard 4 Level III, Benchmark 7 |
|
| GLE 0606.3.5 Use multiple representations including symbolic algebra to model and/or solve contextual problems that involve linear relationships. | Algebra P.227-231 |
Algebra P.18 |
A.6.2.b p. 53 |
EEI (SR 24-27) | ALG Gr 8: 2a, b, f; 4c, d |
Standard
1 Level III, Benchmark 5 Standard 8 Level III, Benchmark 5 |
|
| GLE 0606.3.6 Understand and use the Cartesian coordinate system. | Algebra P.229-231 |
|
A.6.2.b p. 53 |
GR (SR 13-15, SR16-19, SR 20-23) | ALG Gr 8: 2c |
Standard
8 Level II, Benchmark 6 Level III, Benchmark 9 |
|
| 7 | GLE 0706.3.1 Recognize and generate equivalent forms for simple algebraic expressions. | Algebra P.223-225 |
Algebra P.19 |
A.A.1.d,e |
EEI (SR 13-15, SR 28-32) | ALG Gr 8: 2a; 4b |
Standard
8 Level III, Benchmark 1,8 |
| GLE 0706.3.2 Understand and compare various representations of relations and functions. | Algebra P.223-225 |
Algebra P.19 |
A.A.2.a,b |
|
ALG Gr 8: 2b |
Standard
8 Level III, Benchmark 3 |
|
| GLE 0706.3.3 Understand the concept of function as a rule that assigns to a given input one and only one number (the output). | Algebra P.223-225 |
|
A.A.2.b p. 16 |
|
ALG Gr 8: 1c |
Standard
8 Level III, Benchmark 4 |
|
| GLE 0706.3.4 Use function notation where f(x) represents the output that the function f assigns to the input x. | Algebra P.223-225 |
|
A.A.2.b p. 16 |
F (SR 24-27) | ALG Gr 12: 3f |
Standard
8 Level IV, Benchmark 1 |
|
| GLE 0706.3.5 Understand and graph proportional relationships. | Algebra P.227-229 |
Algebra P.19 |
A.A.4.a p. 18 |
|
ALG Gr 8: 2f |
|
|
| GLE 0706.3.6 Conceptualize the meanings of slope using various interpretations, representations, and contexts. | Algebra P.229-231 |
Algebra P.19 |
A.A.4.a p. 18 A.A.6.e p. 21 |
GR (SR 20-23, SR 24-27) | ALG Gr 8: 1f; 4d |
Standard
8 Level III, Benchmark 7 |
|
| GLE 0706.3.7 Use mathematical models involving linear equations to analyze real-world phenomena. | Algebra P.227-231 |
Algebra P.19 |
A.A.6.g p. 22 |
GR (SR 24-27) | ALG Gr 8: 2a, b, f:; 4c; 5a |
Standard
8 Level III, Benchmark 5 |
|
| GLE 0706.3.8 Use a variety of strategies to efficiently solve linear equations and inequalities. | Algebra P.223-231 |
Algebra P.19 |
A.A.6 p. 20-22 |
|
ALG Gr 8: 2a, b, f,; 3b; 4a, c; 5a; |
Standard
8 Level III, Benchmark 5, 6 |
|
| 8 | GLE 0806.3.1 Recognize and generate equivalent forms for algebraic expressions. | Algebra P.225-227 |
Algebra P.20 |
A.A.1.d,e p. 15 |
EEI (SR 13-15, SR 28-32) | ALG Gr 8: 2a; 3c; 4b |
Standard
8 Level III, Benchmark 1,8 |
| GLE 0806.3.2 Represent, analyze, and solve problems involving linear equations and inequalities in one and two variables. | Algebra P.223-231 |
Algebra P.20 |
A.A.6 p. 20-22 |
GR (SR 28-32) | ALG Gr 8: 2a, b, f,; 3b; 4a, c; 5a; |
Standard
8 Level III, Benchmark 5,6 |
|
| GLE 0806.3.3 Solve systems of linear equations in two variables. |
|
Algebra P.20 |
A.B.3.a,b p. 23 |
EEI (SR 28-32) | ALG Gr 12: 4d |
Standard
8 Level III, Benchmark 10 |
|
| GLE 0806.3.4 Translate among verbal, tabular, graphical and algebraic representations of linear functions. | Algebra P.229-231 |
Algebra P.20 |
A.A.6.g p. 22 |
GR (SR 24-27, SR 28-32) | ALG Gr 8: 2a, b |
Standard
8 Level III, Benchmark 3 |
|
| GLE 0806.3.5 Use slope to analyze situations and solve problems. | Algebra P.229-231 |
Algebra P.20 |
A.A.6.g p. 22 |
GR (SR 28-32) | ALG Gr 8: 1f; 4d |
Standard
8 Level III, Benchmark 7 |
|
| GLE 0806.3.6 Compare and contrast linear and nonlinear functions. | Algebra P.223-224 |
|
A.A.3.a,d p. 17 A.A.4.a p. 18 A.B.1 p. 22 A.C.1.b p. 24 |
|
ALG Gr 8: 1e; 2f |
Standard
8 Level IV, Benchmark 8 |
|
Mathematics Standard 4.0: Geometry and Measurement |
|||||||
| Grade Level Expectations | PSSM | Focus Points | ACHIEVE | ACT | NAEP | MCREL | |
| K | GLE 0006.4.1 Interpret and describe the physical world with geometric ideas and vocabulary. | Geometry Pg 96-101 |
Geometry Pg 12 |
G.K.1a p. 3 |
|
GEO Gr 4: 1b, 5a |
Standard
5 Level I, Benchmark 3 |
| GLE 0006.4.2 Use positional terms to specify locations with simple relationships. | Geometry Pg 96-101 |
Geometry Pg 12 |
G.K.1c p. 4 |
|
|
Standard
5 Level Pre-K, Benchmark 2 Standard 5 Level I, Benchmark 2 |
|
| GLE 0006.4.3 Compare and order measurable attributes of objects directly (by comparing them with each other) and indirectly (by comparing both with a third object). | Geometry Pg 96-101 |
Geometry Pg 12 |
M.K.1a,b p. 3 |
|
GEO Gr 4: 5a |
Standard
4 Level Pre-K, Benchmark 4 |
|
| 1 | GLE 0106.4.1 Recognize, describe, and draw geometric figures. | Geometry P.97-98 |
Geometry P.13 |
G.1.1.a,b p. 7 |
|
GEO Gr 4: 1b,c, f |
Standard
5 Level I, Benchmark 1,3 |
| GLE 0106.4.2 Compose and decompose geometric shapes. | Geometry P.97-98 |
Geometry P.13 |
G.1.2.c p. 8 |
|
GEO Gr 4: 3f |
Standard
5 Level I, Benchmark 4 |
|
| GLE 0106.4.3 Use non-standard units in linear measurement. | Measurement P.103-104 |
|
M.1.1.a p.6 |
|
|
Standard
4 Level I , Benchmark 3 |
|
| 2 | GLE 0206.4.1 Recognize, classify, and transform 2- and 3-dimensional geometric figures. | Geometry P.97-98 |
|
G.2.1 p. 14 |
|
GEO Gr 4: 1b, c, f; 2c |
Standard
5 Level I, Benchmark 1 Level II, Benchmark 2, 5 |
| GLE 0206.4.2 Understand the meaning and process of linear measurement. | Measurement P.103-104 |
Measurement P.14 |
M.2.1.a,b p.12 |
|
MEAS Gr 4: 1a, b, c, d |
Standard
4 Level I, Benchmark 1 |
|
| GLE 0206.4.3 Add, subtract, compare, compute and estimate linear measurements. | Measurement P.103-104 |
Measurement P.14 |
M.2.1.c,d p. 13 |
|
GEO Gr 4: 1b, c, f, g |
Standard
4 Level I, Benchmark 4 |
|
| GLE 0206.4.4 Compose and decompose polygons to make other polygons. | Geometry P.97-98 |
|
G.K.1.b p. 4 G.3.3 p. 24 |
|
GEO Gr 4: 3f |
Standard
5 Level I, Benchmark 4 |
|
| 3 | GLE 0306.4.1 Describe, compare, and analyze properties of polygons. | Geometry p. 165-166 |
Geometry P.15 |
G.2.1.a p. 14 G.3.3 p. 26 |
|
GEO Gr 4: 1b |
Standard
5 Level I, Benchmark 1 |
| GLE 0306.4.2 Understand and apply the concepts of congruence and symmetry. | Geometry p. 167-169 |
Geometry P.15 |
G.K.1.b p.4 A.K.1.a p. 4 G.2.1.c p. 15 N.3.4.a p. 18 |
|
GEO Gr 4: 2e |
Standard
5 Level II, Benchmark 4 |
|
| GLE 0306.4.3 Understand and use attributes of 2- and 3-dimensional figures to solve problems. | Geometry P.165-167 |
Geometry P.15 |
G.3.3.a,b p. 24 G.3.4.b p. 25 |
|
GEO Gr 4: 1b, f |
Standard
5 Level II, Benchmark 2 |
|
| GLE 0306.4.4 Use appropriate units, strategies and tools to solve problems involving perimeter. | Measurement P.173-175 |
Geometry P.15 |
M.3.1.e p. 22 G.3.4.b p. 25 |
M(SR 16-19, SR 20-23) | MEAS Gr 4: 1c, f; 2a |
Standard
4 Level II, Benchmark 1, 2, 6, 7 |
|
| GLE 0306.4.5 Solve measurement problems involving fractional parts of linear units and capacity units. | Measurement P.171-173 |
Measurement P.15 |
M.3.1 p. 21 |
|
MEAS Gr 4: 2d |
Standard
4 Level II, Benchmark 6 |
|
| 4 | GLE 0406.4.1 Understand and use the properties of lines, segments, angles, polygons, and circles. | Geometry P.165-167 |
Geometry P.16 |
G.3.1 p. 22-24 G.3.2 p. 24 G.4.1 p.33-34 |
|
GEO Gr 4: 1c, 3f; Gr 8: 3f, g |
Standard
5 Level II, Benchmark 1, 6 |
| GLE 0406.4.2 Understand and use measures of length, area, capacity, and weight. | Measurement P.171-173 |
Measurement
and Geometry P.16 |
M.4.1.a,e p. 32-33 |
|
MEAS Gr 4: 2a, d |
Standard
4 Level II, Benchmark 1,7 |
|
| GLE 0406.4.3 Solve problems that involve estimating and measuring length, area, capacity and weight. | Measurement P.173-175 |
Measurement
and Geometry P.16 |
M.4.1.c,d p. 32-33 |
|
MEAS Gr 4: 1c; 2a, b, d |
Standard
4 Level II, Benchmark 6 |
|
| GLE 0406.4.4 Understand the representation of location and movement within the first quadrant of a coordinate system. | Geometry P.167-168 |
|
G.5.5.a p. 45 |
GR (SR 16-19) | ALG Gr 4: 2c |
Standard
5 Level II, Benchmark 5 |
|
| 5 | GLE 0506.4.1 Use basic formulas and visualization to find the area of geometric figures. | Measurement P.171-173 |
Measurement,
Algebra and Geometry P.17 |
G.5.4.a,b,c p. 44 |
M (SR 20-23, SR 24-27 ) | MEAS Gr 8: 1c, e, f; 2a, d GEO Gr 8: 1e |
Standard
4 |
| GLE 0506.4.2 Describe polyhedral solids and analyze their properties, including volume and surface area. | Geometry P.165-167 Measurement P.171-173 |
Measurement,
Algebra and Geometry P.17 |
G.3.4.a,b p. 25 G.5.3 p. 44 |
|
MEAS Gr 8: 1h; 2a, d GEO Gr 8: 1c, e, f |
Standard
5 Level III, Benchmark 2 |
|
| GLE 0506.4.3 Describe length/distance relationships using the first quadrant of the coordinate system. | Geometry P.167-168 |
|
N.6.1.c p. 47 G.5.5.b p. 45 G.B.3.b p. 36 |
GR (SR 28-32) |
|
|
|
| GLE 0506.4.4 Solve problems that require attention to both approximation and precision of measurement. | Measurement P.173-175 |
Measurement,
Algebra and Geometry P.17 |
N.4.2.c p. 27 M.4.1.d,e p. 33 M.5.1.c,d p. 42 N.6.4.b p.49 |
|
NPO Gr 8: 2b MEAS Gr 8: 2e |
Standard
4 Level III, Benchmark 5 |
|
| 6 | GLE 0606.4.1 Understand and use basic properties of triangles, quadrilaterals, and other polygons. | Geometry P.233-235 |
|
G.4.1.c,d p. 34 G.5.4.b p. 45 |
PPF (SR 20-23, SR 24-27) | GEO Gr 8: 1b, c, d, f; 3f |
Standard
5 Level II, Benchmark 1,2 Level III, Benchmark 3 |
| GLE 0606.4.2 Use the concepts of translation, rotation, reflection, and symmetry to understand congruence in the plane. | Geometry P.235-237 |
|
G.6.2 p. 51 G.6.3 p. 52 |
|
GEO Gr 8: 2a, c |
Standard
5 Level II, Benchmark 4 Level III, Benchmark 4 |
|
| GLE 0606.4.3 Develop and use formulas to determine the circumference and area of circles, and the area of trapezoids, and develop strategies to find the area of composite shapes. | Measurement P.243-247 |
Measurement
and Geometry P.18 |
G.B.4 p. 36-37 |
M (SR 24-27) | MEAS Gr 8: 1f ALG Gr 8: 4e |
Standard
4 Level II, Benchmark 4 Level III, Benchmark 2, 7 |
|
| GLE 0606.4.4 Develop and use formulas for surface area and volume of 3-dimensional figures. | Measurement P.243-247 |
Measurement
and Geometry P.18 |
G.3.4.a,b p. 25 M.4.1.e p. 33 G.5.3.a p. 44 A.6.2.b p. 53 |
|
MEAS Gr 8: 1h; 2a, d GEO Gr 8: 1c, e, f |
Standard
4 Level III, Benchmark 2, 3 Level IV, Benchmark 4 |
|
| 7 | GLE 0706.4.1 Understand the application of proportionality with similar triangles. | Geometry P.233-235 Measurement P.243-247 |
Geometry P.19 |
G.B.6.a p. 38 |
PPF (SR 28-32) | GEO Gr 8: 2e, f Gr 12: 3e |
Standard
5 Level III, Benchmark 6 |
| GLE 0706.4.2 Apply proportionality to converting among different units of measurements to solve problems involving rates such as motion at a constant speed. | Measurement P.243-247 |
Geometry P.19 |
G.A.3.b p. 34 N.A.4.c,e p. 3 |
BOA (SR 24-27 and SR 28-32) | NPO Gr 8: 4c, d MEAS Gr 8: 1i; 2b, c ALG Gr 8: 4d, e |
Standard
4 Level III, Benchmark 4 |
|
| GLE 0706.4.3 Understand and use scale factor to describe the relationships between length, area, and volume. | Measurement P.243-247 |
Number
and Operations, Algebra and Geometry P.19 |
G.B.5.b p. 37-38 |
M (SR 33-36) | NPO Gr 8: 4c GEO Gr 8: 2e |
Standard
4 Level III, Benchmark 3 Standard 5 Level III, Benchmark 5 |
|
| GLE 0706.4.4 Understand and use ratios, derived quantities, and indirect measurements. | Measurement P.243-247 |
Geometry P.19 |
N.A.4 p. 3 G.A.3.a p. 34 |
|
NPO Gr 8: 4a,b MEAS Gr 8: 3a |
Standard
1 Level III, Benchmark 9 Standard 4 Level III, Benchmark 9 Standard 4 Level IV, Benchmark 3 |
|
| 8 | GLE 0806.4.1 Derive the Pythagorean theorem and understand its applications. | Geometry P.233-235 |
Measurement
and Geometry P.20 |
G.B.3. p. 36 |
PPF (SR 24-27 and SR 28-32) | GEO Gr 8: 3d |
Standard
5 Level III, Benchmark 7 |
| GLE 0806.4.2 Understand the relationships among the angles formed by parallel lines cut by transversals. |
|
Geometry P.20 |
G.B.1.a,c,d p. 35 |
PPF (SR 16-19 and 20-23) | MEAS Gr 12: 1d |
|
|
| GLE 0806.4.3 Understand the necessary levels of accuracy and precision in measurement. | Measurement P.241-243 |
|
N.B.1.c,d p. 4 |
|
NPO Gr 8: 2b MEAS Gr 8: 2e |
Standard
4 Level III, Benchmark 5 |
|
| GLE 0806.4.4 Understand both metric and customary units of measurement. | Measurement P.241-243 |
|
G.A.3.b,c p. 34 |
|
MEAS Gr 8: 2b, c |
Standard
4 Level III, Benchmark 4 |
|
| GLE 0806.4.5 Use visualization to describe or identify intersections, cross-sections, and various views of geometric figures. | Geometry P.237-239 |
|
G.B.7 p. 40 |
|
GEO Gr 8: 1e; 4b, c |
Standard
5 Level III, Benchmark IV |
|
Mathematics Standard 5.0: Data, Probability, and Statistics |
|||||||
| Grade Level Expectations | PSSM | Focal Points | ACHIEVE | ACT | NAEP | MCREL | |
| K | GLE 0006.5.1 Sort objects and use one or more attributes to solve problems. | Data
Analysis and Probability Pg 108-114 |
Measurement Pg 12 |
A.K.1a p. 4 G.K.1a,b p. 3 |
|
GEO Gr 4: 3f, 5a |
Standard
5 Level Pre-K, Benchmark 5 |
| GLE 0006.5.2 Re-sort objects using new attributes. | Data
Analysis and Probability Pg 108-114 |
Measurement Pg 12 |
A.K.1a p. 4 G.K.1a,b p. 3 |
|
GEO Gr 4: 5a |
Standard
5 Level I, Benchmark 1 |
|
| 1 | GLE 0106.5.1 Use various representations to display and compare data. | Data,
Probability, and Statistics P.109-112 |
|
PS.1.1 p. 7 |
|
DASP Gr 4: 1a; 2d |
Standard
6 Level I Benchmark 1 |
| 2 | GLE 0206.5.1 Use and understand various representations to depict and analyze data measurements. | Data,
Probability, and Statistics P.109-112 |
Data,
Probability, and Statistics P.14 |
PS.1.1.b p. 7 PS.2.3 p.14 |
|
DASP Gr 4: 1a; 2d |
Standard
6 Level I, Benchmark 1 |
| GLE 0206.5.2 Determine whether an event is likely or unlikely. | Data,
Probability, and Statistics P.114 |
|
|
|
DASP Gr 4: 4a |
Standard
7 Level I, Benchmark 1 |
|
| 3 | GLE 0306.5.1 Organize, display, and analyze data using various representations to solve problems. | Data,
Probability, and Statistics P.177-180 |
Data, Probability,
and Statistics P.15 |
PS.2.3 p. 14 PS.4.1 p. 33 |
PSDA (SR 16-19) | DASP Gr 4: 1a, b, c |
Standard
6 Level II Benchmark 4, 5, 6 |
| 4 | GLE 0406.5.1 Collect, record, arrange, present, and interpret data using tables and various representations. | Data,
Probability, and Statistics P.177-180 |
|
PS.4.1 p. 33 |
PSDA (SR 13-15, SR 16-29 and SR 28-32) | DASP Gr 4: 1a, b, c |
Standard
6 Level I, Benchmark 1 Level II, Benchmark 4, 5, 6 |
| GLE 0406.5.2 Use probability to describe chance events. | Data,
Probability, and Statistics P.181 |
|
PS.6.1.a p. 49 |
PSDA (SR 20-23) | DASP Gr 4: 4a |
Standard
7 Level II, Benchmark 1, 2 |
|
| 5 | GLE 0506.5.1 Make, record, display and interpret data and graphs that include whole numbers, decimals, and fractions. | Data,
Probability, and Statistics P.177-180 |
|
M.5.1 p. 42 |
PSDA (SR 13-15, SR 16-19 and SR 28-32) | DASP Gr 8: 1a, b |
Standard
6 Level III, Benchmark 4, 6, 8 |
| GLE 0506.5.2 Describe the shape and important features of a set of data using the measures of central tendency. | Data,
Probability, and Statistics P.179-180 |
|
PS.5.1 p. 42 PS.A.2.b p. 45 PS.B.2.c p.46 |
PSDA (SR 13-15, SR 16-19, SR 24-27, SR 28-32, SR 33-36) | DASP Gr 8: 2a, b |
Standard
6 Level III, Benchmark 1, 2, 3 |
|
| 6 | GLE 0606.5.1 Understand the meaning of probability and how it is expressed. | Data,
Probability, and Statistics P.253-255 |
|
PS.A.1 p. 44 |
PSDA (SR 20-23) | DASP Gr 8: 4f, g |
Standard
7 Level III, Benchmark 1, 2, 3, 5 |
| GLE 0606.5.2 Interpret representations of data from surveys and polls, and describe sample bias and how data representations can be misleading. | Data,
Probability, and Statistics p.250-251 |
|
PS.A.2.c p. 45 PS.A.3.b p. 45 PS.B.2.e p. 47 |
PSDA (SR 28-32 and SR 33-36) | DASP Gr 8: 1a, d, e; 3a, b Gr 12: 5a |
Standard
6 Level III, Benchmark 7, 10 |
|
| 7 | GLE 0706.5.1 Collect, organize, and analyze both single- and two-variable data. | Data,
Probability, and Statistics P.249-250 |
|
PS.A.3.c p. 45 |
PSDA (SR 28-32 and SR 33-36) | DASP Gr 8: 1a, b, d; 2e Gr 12: 1f, |
Standard
6 Level III, Benchmark 4, 6, 8 |
| GLE 0706.5.2 Select, create, and use appropriate graphical representations of data. | Data,
Probability, and Statistics P.249-250 |
|
PS.A.3.c p. 45 |
|
DASP Gr 8: 1d, e; 2e |
Standard
6 Level III, Benchmark 4, 6, 8 |
|
| GLE 0706.5.3 Formulate questions and design studies to collect data about a characteristic shared by two populations, or different characteristics within one population. | Data,
Probability, and Statistics P.249-250 |
|
PS.A.3.a,b p. 45 |
|
DASP Gr 8: 2d; 3d |
Standard
6 Level III, Benchmark 5 |
|
| GLE 0706.5.4 Use descriptive statistics to summarize and compare data. | Data,
Probability, and Statistics P.251-253 |
|
PS.B.2 p. 46-47 |
|
DASP Gr 8: 2a, b, c, d |
Standard
6 Level III, Benchmark 1, 2, 3 |
|
| GLE 0706.5.5 Understand and apply basic concepts of probability. | Data,
Probability, and Statistics P.253-255 |
|
PS.A.1 p. 44 |
PSDA (SR 16-19, SR 20-23, and SR 24-27) | DASP Gr 8: 4a, b, c, d, e, f, g, j |
Standard
7 Level III, Benchmark 1, 2, 3, 5 |
|
| 8 | GLE 0806.5.1 Explore probabilities for compound, independent and/or dependent events. | Data,
Probability, and Statistics P.253-255 |
Data,
Probability, and Statistics P.20 |
PS.B.1 p. 46 |
PSDA (SR 33-36) | DASP Gr 8: 4b, h |
Standard
7 Level IV, Benchmark 2 |
| GLE 0806.5.2 Select, create, and use appropriate graphical representations of data (including scatterplots with lines of best fit) to make and test conjectures. | Data,
Probability, and Statistics P.249-250 |
Data,
Probability, and Statistics P.20 |
PS.A.4 p. 46 |
PSDA (SR 33-36) | DASP Gr 8: 1a, b, d; 2e Gr 12: 1f, |
Standard
6 Level III, Benchmark 4, 6, 8 Level IV, Benchmark 1, 4 |
|
| GLE 0806.5.3 Evaluate the use of statistics in media reports. |
|
|
PS.B.2.e p. 47 |
|
DASP Gr 8: 1d, e |
Standard
6 Level III, Benchmark 7, 10 |
|