TENNESSEE HIGH SCHOOL 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 | ACHIEVE | ACT | NAEP | MCREL | |
| Algebra I | CLE 3102.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning. | Number
and Operations Pg 290-294 Reasoning and Proof Pg 342-346 Communication Pg 348-352 |
D.C.2.a,c
p. 11
D.E.6.a p. 13 |
NCP
(SR 20-23)
EEI (SR 20-23) |
ALG
Gr 12: 2a,b; 3d; 5a-c
GEO Gr 12: 1c; 5a-e NPO Gr 12: 6a,b |
Standard
1
Level IV
Benchmark 5
Standard 1 Level IV Benchmark 4 |
| CLE 3102.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution. | Numbers
and Operations Pg 290-294 Algebra Pg 296-306 Problem Solving Pg 334-341 |
N.B.1.a,b,d p. 4 A.A.5.e p. 20 | BOA
(SR 33-36)
GR (SR 28-32) EEI (SR 24-27) M (SR 13-15) |
NPO
Gr 12: 2b, c; 3f; 4d
GEO Gr 12: 3c |
Standard
1
Level IV
Benchmark 5
Standard 3 Level III Benchmark 3 |
|
| CLE 3102.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition. | Reasoning
and Proof Pg 342-346 Problem Solving Pg 334 - 341 |
D.C.2.a,d p. 11 | PPF
(SR 33-36)
NCO (SR 33-36) PSDA (SR 33-36) GR (SR 33-36) |
ALG
Gr 12:
5a-c
GEO Gr 12: 5a-e NPO Gr 12: 6a,b |
Standard
1
Level IV
Benchmark 3, 4, 6 Standard 5 Level IV Benchmark 10 Standard 9 Level IV Benchmark 7, 10 |
|
| CLE 3102.1.4 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies. | Algebra Pg 296-306 Communication Pg 348-352 Connections Pg 354-359 Representation Pg 360-364 |
A.A.2.b
p. 16
A.A.3.e p. 17 A.A.5.e p. 20 A.A.6.g p. 22 |
PSDA
(SR 20-23, 24-27,
28-32)
GR (SR 28-32) EEI (SR 24-27, 28-32) |
ALG Gr 12: 2a,b;3b,d;4d | Standard
1
Level IV
Benchmark 1, 7
Standard 2 Level IV Benchmark 3 Standard 8 Level IV Benchmark 2 |
|
| CLE 3102.1.5 Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies. | Algebra Pg 296-306 Problem Solving Pg 334-341 Communication Pg 348 – 352 |
A.A.5.a,e p. 19 – 20 A.A.6.d,f p. 21 | EEI (SR 24-27, 28-32, 33-36) | ALG Gr 12: 2f; 3b; 4c | Standard 1 Level IV Benchmark 8 | |
| CLE 3102.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world | Communication Pg 348 – 352 Connections Pg 354-359 Algebra Pg 296-306 |
D.C.3.a
p. 11
A.A.5.e p. 20 |
PPF
(SR 33-36)
EEI (SR 24-27) BOA (SR 24-27, 28-32, 33-36) |
ALG Gr 12: 2f, g; 3b, d; 4c, d | Standard
1
Level IV
Benchmark 5 Standard 9 Level IV Benchmark 1--7 |
|
| CLE 3102.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models. | Numbers
and Operations Pg 290-294 Algebra Pg 296-306 |
N.A.1.d p. 2 N.B.2.b p. 5 D.B.3.b,c p. 9 A.B.1.b p. 22 A.C.3.a p. 27 PS.C.2.a p. 48 |
Standard 9 Level IV Benchmark 8, 9 | |||
| Algebra II | CLE 3103.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning. | Number
and Operations Pg 290-294 Reasoning and Proof Pg 342-346 Communication Pg 348-352 |
D.C.2.c
p. 11
D.E.6.a p. 13 |
NCP
(SR 20-23)
EEI (SR 20-23) |
ALG
Gr 12: 2a,b; 3d; 5a-c
GEO Gr 12: 1c; 5a-e NPO Gr 12: 6a,b |
Standard
1
Level IV
Benchmark 5
Standard 1 Level IV Benchmark 4 |
| CLE 3103.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution. | Numbers
and Operations Pg 290-294 Algebra Pg 296-306 Problem Solving Pg 334-341 |
N.B.1.a,b,d p. 4 A.A.5.e p. 20 | BOA
(SR 33-36)
GR (SR 28-32) EEI (SR 24-27) M (SR 13-15) |
NPO Gr 12: 2b, c; 3f; 4d GEO Gr 12: 3c | Standard
1
Level IV
Benchmark 5 Standard 3 Level III Benchmark 3 |
|
| CLE 3103.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition. | Reasoning
and Proof Pg 342-346 Problem Solving Pg 334 - 341 |
D.C.2.a,d p. 11 | PPF (SR 33-36) NCO (SR 33-36) PSDA (SR 33-36) GR (SR 33-36) | ALG Gr 12:
5a-c GEO Gr 12: 5a-e NPO Gr 12: 6a,b |
Standard
1
Level IV
Benchmark 3, 4, 6 Standard 5 Level IV Benchmark 10 Standard 9 Level IV Benchmark 7, 10 |
|
| CLE 3103.1.4 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies. | Algebra Pg 296-306 Communication Pg 348-352 Connections Pg 354-359 Representation Pg 360-364 |
A.A.2.b
p. 16
A.A.3.e p. 17 A.A.5.e p. 20 A.A.6.g p. 22 G.E.3.a p. 43 |
PSDA (SR 20-23, 24-27, 28-32) GR (SR 28-32) EEI (SR 24-27, 28-32) | ALG Gr 12: 2a,b;3b,d;4d | Standard
1
Level IV
Benchmark 1, 7,
Standard 2 Level IV Benchmark 3 Standard 8 Level IV Benchmark 2 |
|
| CLE 3103.1.5 Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies. | Algebra Pg 296-306 Problem Solving Pg 334-341 Communication Pg 348 – 352 |
A.A.5.a,e
p. 19 – 20
A.A.6.d,f
p. 21
G.E.3.c p. 44 D.E.3.b p. 13 A.B.1.c p. 22 A.C.1.a,e p. 23-24 |
EEI (SR 24-27, 28-32, 33-36) | ALG Gr 12: 2f; 3b; 4c | Standard 1 Level IV Benchmark 8 | |
| CLE 3103.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world | Communication Pg 348 – 352 Connections Pg 354-359 Algebra Pg 296-306 |
D.C.3.a
p. 11
A.A.5.e p. 20 |
PPF
(SR 33-36)
EEI (SR 24-27) BOA (SR 24-27, 28-32, 33-36) |
ALG Gr 12: 2f, g; 3b, d; 4c, d | Standard
1
Level IV
Benchmark 5
Standard 9 Level IV Benchmarks 1--7 |
|
| CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models. | Numbers
and Operations Pg 290-294 Algebra Pg 296-306 |
N.A.1.d
p. 2
N.B.2.b p. 5 D.B.3.b,c p. 9 A.B.1.b p. 22 A.C.3.a p. 27 PS.C.2.a p. 48 |
Standard 9 Level IV Benchmark 8, 9 | |||
| Geometry | CLE 3108.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning. | Number
and Operations Pg 290-294 Reasoning and Proof Pg 342-346 Communication Pg 348-352 |
D.C.2.c
p. 11
D.E.6.a p. 13 |
NCP
(SR 20-23)
EEI (SR 20-23) |
ALG
Gr 12: 2a,b; 3d; 5a-c
GEO Gr 12: 1c; 5a-e NPO Gr 12: 6a,b |
Standard
1
Level IV
Benchmark 5
Standard 1 Level IV Benchmark 4 |
| CLE 3108.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and thereasonableness of the solution. | Numbers
and Operations Pg 290-294 Geometry Pg 308-318 Problem Solving Pg 334-341 |
N.B.1.a,b,d
p. 4
A.A.5.e p. 20 |
BOA
(SR 33-36)
GR (SR 28-32) EEI (SR 24-27) M (SR 13-15) |
NPO
Gr 12: 2b, c; 3f; 4d
GEO Gr 12: 3c |
Standard
1
Level IV
Benchmark 5
Standard 3 Level III Benchmark 3 |
|
| CLE 3108.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition. | Reasoning
and Proof Pg 342-346 Problem Solving Pg 334 - 341 |
D.C.2.a,d p. 11 | PPF
(SR 33-36)
NCO (SR 33-36) PSDA (SR 33-36) GR (SR 33-36) |
ALG
Gr 12:
5a-c
GEO Gr 12: 5a-e NPO Gr 12: 6a,b |
Standard
1
Level IV
Benchmark 3, 4, 6 Standard 5 Level IV Benchmark 10 Standard 9 Level IV Benchmark 7, 10 |
|
| CLE 3108.1.4 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies. | Geometry Pg 308-318 Communication Pg 348-352 Connections Pg 354-359 Representation Pg 360-364 |
A.A.2.b
p. 16
A.A.3.e p. 17 A.A.5.e p. 20 A.A.6.g p. 22 |
PSDA
(SR 20-23, 24-27,
28-32)
GR (SR 28-32) EEI (SR 24-27, 28-32) |
ALG Gr 12: 2a,b;3b,d;4d | Standard
1
Level IV
Benchmark 1, 7,
Standard 2 Level IV Benchmark 3 Standard 8 Level IV Benchmark 2 |
|
| CLE 3108.1.5 Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies. | Geometry Pg 308 - 318 Problem Solving Pg 334-341 Communication Pg 348 – 352 |
A.A.5.a,e p. 19 – 20 A.A.6.d,f p. 21 | EEI (SR 24-27, 28-32, 33-36) | ALG Gr 12: 2f; 3b; 4c | Standard 1 Level IV Benchmark 8 | |
| CLE 3108.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world | Geometry Pg 308 - 318 Communication Pg 348 – 352 Connections Pg 354-359 |
D.C.3.a
p. 11
A.A.5.e p. 20 |
PPF
(SR 33-36)
EEI (SR 24-27) BOA (SR 24-27, 28-32, 33-36) |
ALG Gr 12: 2f, g; 3b, d; 4c, d | Standard
1
Level IV
Benchmark 5
Standard 9 Level IV Benchmark 1--7 |
|
| CLE 3108.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models. | Numbers
and Operations Pg 290-294 Geometry Pg 308 - 318 |
N.A.1.d
p. 2
N.B.2.b p. 5 D.B.3.b,c p. 9 A.B.1.b p. 22 A.C.3.a p. 27 G.B.8.b p. 40 PS.C.2.a p. 48 |
Standard 9 Level IV Benchmark 8, 9 | |||
Mathematics Standard 2.0: Number and Operations |
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| Grade Level Expectations | PSSM | ACHIEVE | ACT | NAEP | MCREL | |
| Algebra I | CLE 3102.2.1 Understand computational results and operations involving real numbers in multiple representations. | Numbers
and Operations Pg 290-294 |
N.A.1.d
p. 2
N.A.3.a,c p. 3 N.B.2.d p. 5 |
BOA (SR 20-23, 24-27, 28-32, 33-36) | NPO Gr 12: 1d; 3b; 5e | Standard 3 Level IV Benchmark 1, 2, 4 |
| CLE 3102.2.2 Understand properties of and relationships between subsets and elements of the real number system. | Numbers
and Operations Pg 290-294 |
N.A.1.d
p. 2
N.B.3.d p. 6 |
NCP (SR 20-23, 28-32) | NPO Gr 12: 5e-f; 6a | Standard 2 Level IV Benchmark 1, 2 | |
| Algebra II | CLE 3103.2.1 Understand the hierarchy of the complex number system and relationships between the elements | Numbers
and Operations Pg 290-294 |
N.B.3a,c,d p. 5 -6 N.D.1.a p. 7 | NCP (SR 24-27, 33-36) | NPO Gr 12: 5f | Standard 2 Level IV Benchmark 1, 2 |
| CLE 3103.2.2 Connect numeric, analytic, graphical and verbal representations of both real and complex numbers. | Numbers
and Operations Pg 290-294 |
N.E.2.a,b p. 7 | NCP (SR 33-36) | ALG Gr 12: 4g | ||
| CLE 3103.2.3 Use appropriate technology (including graphing calculators and computer spreadsheets) to solve problems | Numbers
and Operations Pg 290-294 |
N.A.1.d
p. 2
N.B.2.b p. 5 D.B.3.b,c p. 9 A.B.1.b p. 22 A.C.2.d p. 27 A.C.3.a p. 27 A.E.2.d p. 30 PS.C.2.a p. 48 PS.A.3.c p. 45 |
Standard 9 Level IV Benchmark 8 | |||
| CLE 3103.2.4 Understand the capabilities and limitations of technology when performing operations | Numbers
and Operations Pg 290-294 |
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| Geometry | CLE 3108.2.1 Establish the relationships between the real numbers and geometry; explore the importance of irrational numbers to geometry. | Geometry Pg 308-318 |
N.A.2.c
p. 2
N.B.3.a,c p. 5 - 6 |
NCP (SR 24-27) | NPO Gr 12: 3b,f | Standard 2 Level IV Benchmark 1 |
| CLE 3108.2.2 Explore vectors as a numeric system, focusing on graphic representations and the properties of the operation. | Geometry Pg 308-318 |
A.E.2.e
p. 30
G.E.2.a-e p. 43 |
GEO Gr 12: 4e | Standard 5 Level IV Benchmark 4, 6 | ||
| CLE 3108.2.3 Establish an ability to estimate, select appropriate units, evaluate accuracy of calculations and approximate error in measurement in geometric settings. | Geometry Pg 308-318 |
N.A.4.b,e p. 3 N.B.1.d p. 4 |
M (SR 13-15) | MEAS Gr 12: 1c, h; 2a,d,e; | Standard 3 Level IV Benchmark 3 Standard 4 Level IV Benchmark 2 | |
Mathematics Standard 3.0: Algebra |
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| Grade Level Expectations | PSSM | ACHIEVE | ACT | NAEP | MCREL | |
| Algebra I | CLE 3102.3.1 Use algebraic thinking to analyze and generalize patterns. | Algebra Pg 296-306 |
N.A.1.e
p. 2
D.C.2.b,d p. 11 A.A.2.b p. 16 |
NCP (SR 20-23) | ALG Gr 12: 1a,h; 2a, b, f, h | Standard
8
Level III Benchmark 3
Standard 8 Level IV Benchmark 7 |
CLE 3102.3.2 Understand and apply properties in order to perform operations with, evaluate, simplify, and factor expressions and polynomials. |
Algebra Pg 296-306 |
N.B.2.c,
e p. 5 A.A.1.b,c
p. 14 -15
A.B.1.a
p. 22
A.C.3.d p. 27 - 28 |
EEI (SR 16-19, 20-23, 24-27, 28-32) | ALG Gr 12: 3c, d, e, | Standard 8 Level III Benchmark 8 | |
| CLE 3102.3.3 Understand and apply operations with rational expressions and equations. | Algebra Pg 296-306 |
A.a.1.c, f, g p. 14 | ALG Gr 12: 3c, e | |||
| CLE 3102.3.4 Solve problems involving linear equations and linear inequalities. | Algebra Pg 296-306 |
A.A.6.a, b, d, f, g p. 20 - 22 | EEI (SR 20-23, 24-27) | ALG Gr 8: 4a Gr 12: 4a | Standard 8 Level III Benchmark 5, 6 | |
| CLE 3102.3.5 Manipulate formulas and solve literal equations. | Algebra Pg 296-306 |
A.A.5.b p. 19 | EEI (SR 28-32) | ALG Gr 12: 4f | Standard 4 Level III Benchmark 7 | |
| CLE 3102.3.6 Understand and use relations and functions in various representations to solve contextual problems. | Algebra Pg 296-306 |
A.A.2.b
p. 16
A.A.3.e p. 17 A.B.1.c p. 22 A.B.2.c p. 22 |
ALG Gr 12: 1i; 2f; 4c | Standard
8
Level III
Benchmark 3, Standard 8 Level IV Benchmarks 6 - 8 |
||
| CLE 3102.3.7 Construct and solve systems of linear equations and inequalities in two variables by various methods. | Algebra Pg 296-306 |
A.B.3.a, b, c p. 23 | EEI (SR 28-32) | ALG Gr 12: 4d | Standard
8
Level III
Benchmark 10
Standard 8 Level IV Benchmark 11 |
|
| CLE 3102.3.8 Solve and understand solutions of quadratic equations with real roots. | Algebra Pg 296-306 |
A.B.2.a, b, c p. 22 | EEI (SR 28-32) | ALG Gr 12: 4a | Standard 8 Level IV Benchmark 5 | |
| CLE 3102.3.9 Understand and use exponential functions to solve contextual problems. | Algebra Pg 296-306 |
A.C.1.b,f p. 24 -25 A.C.3.c p. 27 | ALG Gr 12: 1e; 2a, f; 3h; 4c | Standard 8 Level IV Benchmark 8 | ||
| Algebra II | CLE 3103.3.1 Understand and apply properties of rational exponents and perform basic operations to simplify algebraic expressions. | AlgebraPg 296-306 | N.B.2.a,
e
p. 4-5
A.A.1.g p. 16 |
NCP (SR 28-32) EEI (SR 20-23, 24-27) |
ALG Gr 12: 2a; 3c, d | Standard
2
Level III
Benchmark 5
Standard 2 Level IV Benchmark 2 Standard 3 Level III Benchmark 3 Standard 3 Level IV Benchmark 4 |
| CLE 3103.3.2 Understand, analyze, transform and generalize mathematical patterns, relations and functions using properties and various representations. | AlgebraPg 296-306 | D.C.2.b,d p. 11 A.a.1.a p. 14 | GR (SR 28-32, 33-36) | ALG
Gr 12: 1e; 2a, f, h; 4c;
GEO Gr 12: 2a, b, c, d, g |
Standard 8 Level IV Benchmark 7 | |
| CLE 3103.3.3 Analyze and apply various methods to solve equations, absolute values, inequalities, and systems of equations over complex numbers. | AlgebraPg 296-306 | N.D.1.c
p. 7
A.A.6.b,
h
p. 21 -22
A.E.2.g
p. 31
|
EEI (SR 24-27, 28-32, 33-36) | ALG Gr 12: 4a, c, d, g | Standard
8
Level III
Benchmark 6, 10
Standard 8 Level IV Benchmark 2, 5, 11 |
|
| CLE 3103.3.4 Graph and compare equations and inequalities in two variables. Identify and understand the relationships between the algebraic and geometric properties of the graph. | AlgebraPg 296-306 | A.B.3.a – f p. 23 | ALG Gr 12: 2a; 4d | Standard 8 Level IV Benchmarks 4, 9, 11 | ||
| CLE 3103.3.5 Use mathematical models involving equations and systems of equations to represent, interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena. | AlgebraPg 296-306 | N.A.4.a
p. 3
A.A.3.a,c,d,
e
p. 17
A.C.1.b,
d, f
p. 24 – 25
|
GR (SR 20-23, 28-32, 33-36) | ALG Gr 12: 2a; 4d | Standard 8 Level IV Benchmarks 3, 4, 5, 8, 9, 11 | |
| Geometry | CLE 3108.3.1 Use analytic geometry tools to explore geometric problems involving parallel and perpendicular lines, circles, and special points of polygons. | Geometry Pg 308-318 |
A.A.6.e
p. 21
G.B.1.a, c, d p. 35 G.B.2.e p. 36 G.B.4.a, b, c p. 36-37 G.C.1.a-e p. 40-41 |
GR (SR 28-32, 33-36) | GEO Gr 12: 3f, g, h; 4a; | Standard 5 Level IV Benchmark 1, 3 |
| CLE 3108.3.2 Explore the effect of transformations on geometric figures and shapes in the coordinate plane. | Geometry Pg 308-318 |
A.E.2.e
p. 30
G.A.2.a - c p. 33-34 |
PPF
(SR 33-36) GR (SR 33-36) |
GEO Gr 12: 2a, b, c, d | Standard 5 Level IV Benchmark 3 | |
Mathematics Standard 4.0: Geometry and Measurement |
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| Grade Level Expectations | PSSM | ACHIEVE | ACT | NAEP | MCREL | |
| Algebra I | CLE 3102.4.1 Use algebraic reasoning in applications involving geometric formulas and contextual problems. | Geometry Pg 308-318 |
G.A.4.b,d,e p. 35 | EEI
(SR 24-27)
M (SR 13-15, 16-19, 20-23, 24-27, 28-32) |
MEAS Gr 12: 1f; 2a | Standard
4
Level III
Benchmark 7, 9 Standard 4 Level IV Benchmark 3, 4 |
| CLE 3102.4.2 Apply appropriate units of measure and convert measures in problem solving situations. | Measurement Pg 320-323 |
N.A.4.c,
e
p. 3
A.A.3.e p. 17 G.A.3.a, b p. 34 |
BOA (SR 13-15, 24-27) EEI (SR 24-27) | MEAS Gr 8: 2c Gr 12: 2b | Standard
4
Level II
Benchmark 7
Standard 4 Level III Benchmark 3, 4, 6 Standard 4 Level IV Benchmark 5 |
|
| Algebra II | CLE 3103.4.1 Understand the trigonometric functions and their relationship to the unit circle. | Geometry Pg 308-318 |
A.E.1.a, b p. 29 | F (SR 33-36) | ALG Gr 12: 1e, h; 2a, f; MEAS Gr 12: 3c, e | Standard 5 Level IV Benchmark 7, 8 |
| CLE 3103.4.2 Know and use the basic identities of sine, cosine, and tangent as well as their reciprocals. | Geometry Pg 308-318 |
A.E.1.b, d, e p. 29 | F (SR 33-36) | MEAS Gr 12: 3d | Standard 5 Level IV Benchmark 7, 8 | |
| CLE 3103.4.3 Graph all six trigonometric functions and identify their key characteristics. | Geometry Pg 308-318 Algebra Pg 296-306 |
A.E.1.b, c p.29 | GR (SR 33-36) F (SR 33-36) | ALG Gr 12: 1e; 2a, d, f; | Standard 8 Level IV Benchmark 4, 8, 9 | |
| CLE 3103.4.4 Know and use the Law of Sines to find missing sides and angles of a triangle, including the ambiguous case. | Geometry Pg 308-318 |
A.E.1.f p. 30 | F (SR 28-32, 33-36) | MEAS Gr 12: 3g | Standard 5 Level IV Benchmark 8 | |
| CLE 3103.4.5 Use trigonometric concepts, properties and graphs to solve problems. | Geometry Pg 308-318 Algebra Pg 296-306 |
A.E.1.b,c,d P. 29 | F (SR 33-36) | ALG Gr 12: 1h; 2a, f; | Standard 8 Level IV Benchmark 3 | |
| Geometry | CLE 3108.4.1 Develop the structures of geometry, such as lines, angles, planes, and planar figures, and explore their properties and relationships. | Geometry Pg 308-318 |
G.A.1.a,b
p. 33
G.B.1.a-e p. 35 G.B.2.e p. 36 G.C.2.c p. 41 |
PPF (SR 16-19, 20-23, 24-27, 28-32, 33-36) | GEO Gr 12: 1c; 3e, f, g; 4b | Standard
5
Level II
Benchmark 1, 2
Standard 5 Level III Benchmark 3 |
| CLE 3108.4.2 Describe the properties of regular polygons, including comparative classification of them and special points and segments. | Geometry Pg 308-318 |
G.A.1.b
p. 33
G.B.6.f p.39 |
PPF (SR 24-27) M (SR 20-23, 24-27) | GEO
Gr 8: 3f; GEO Gr 12: 3e, f |
Standard
5
Level II
Benchmark 2
Standard 5 Level III Benchmark 3 |
|
| CLE 3108.4.3 Develop an understanding of the tools of logic and proof, including aspects of formal logic as well as construction of proofs. | Geometry Pg 308-318 |
D.C.2.a-d p. 11 D.C.3.b-d p. 11 | PPF (SR 33-36) | GEO
Gr 12: 5a-e
ALG Gr 12: 5b |
Standard
1
Level III
Benchmark 7
Standard 1 Level IV Benchmark 3 – 6 Standard 5 Level IV Benchmark 5, 10 |
|
| CLE 3108.4.4 Develop geometric intuition and visualization through performing geometric constructions with straightedge/compass and with technology. | Geometry Pg 308-318 |
G.B.1.e p.35 | PPF (SR 33-36) | Standard
5
Level III
Benchmark 1
Standard 5 Level IV Benchmark 5 |
||
| CLE 3108.4.5 Extend the study of planar figures to three-dimensions, including the classical solid figures, and develop analysis through cross-sections. | Geometry Pg 308-318 |
A.C.1.f
p.25
G.B.7.a-c p. 40 G.C.2.d p. 41 G.D.2.a p. 42 |
GEO
Gr 8: 4c GEO Gr 12: 1c, d, e, f; 4c |
Standard
5
Level II
Benchmark 2
Standard 5 Level III Benchmark 2, 5 |
||
| CLE 3108.4.6 Generate formulas for perimeter, area, and volume, including their use, dimensional analysis, and applications. | Geometry Pg 308-318 |
A.A.1.c
p. 14-15
A.B.2.c p. 22 A.C.1.f p. 25 A.C.2.d p. 26-27 G.A.4.a-f p. 34 G.B.2.b p.34-35 G.B.4.a p. 36 |
M (SR 20-23, 24-27, 28-32, 33-36) | MEAS Gr 12: 1f; 2a, b | Standard
4
Level III
Benchmark 3, 7
Standard 4 Level IV Benchmark 4, 5 |
|
| CLE 3108.4.7 Apply the major concepts of transformation geometry to analyzing geometric objects and symmetry. | Geometry Pg 308-318 |
A.E.2.e
p. 30
G.A.2.a-c p.33 -34 G.B.5.a, d p. 37 - 8 G.B.6.a,d p. 38 - 39 |
GEO Gr 12: 2a-d, g | Standard
5
Level III
Benchmark 4
Standard 5 Level IV Benchmark 3 |
||
| CLE 3108.4.8 Establish processes for determining congruence and similarity of figures, especially as related to scale factor, contextual applications, and transformations. | Geometry Pg 308-318 |
G.B.6.a-f p. 38-40 | M (SR 33-36) | MEAS Gr 12: 2b, e; 3e | Standard
1
Level III
Benchmark 9
Standard 4 Level IV Benchmark 3 Standard 5 Level III Benchmark 5, 6 |
|
| CLE 3108.4.9 Develop the role of circles in geometry, including angle measurement, properties as a geometric figure, and aspects relating to the coordinate plane. | Geometry Pg 308-318 |
G.C.1.a-e p.40-41 G.C.2.c p. 41 | M
(SR 24-27) PPF (SR 33-36) |
GEO Gr 12: 3e, h; 4f | Standard 5 Level IV Benchmark1 | |
| CLE 3108.4.10 Develop the tools of right triangle trigonometry in the contextual applications, including the Pythagorean Theorem, Law of Sines and Law of Cosines | Geometry Pg 308-318 |
G.D.1.a-c
p. 41
A.E.1.f p. 30 G.B.3.a,c p. 36 |
F (SR 24-27, 28-32) | GEO
Gr 12: 3d;
MEAS Gr 12: 3c, d, g |
Standard
5
Level III
Benchmark 7
Standard 5 Level IV Benchmark 2, 7, 8 |
|
Mathematics Standard 5.0: Data, Probability, and Statistics |
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| Grade Level Expectations | PSSM | ACHIEVE | ACT | NAEP | MCREL | |
| Algebra I | CLE 3102.5.1 Describe and interpret quantitative information. | Data
Analysis and Probability Pg 324-333 |
PS.B.2.c,d, f p. 46 | PSDA (SR 13-15, 16-19, 20-23, 24-27, 28-32, 33-36) | DASP
Gr 8: 1a
DASP Gr 12: 1a; 2a |
Standard 6 Level III Benchmark 4-6, 8, 9 |
| CLE 3102.5.2 Use statistical thinking to draw conclusions and make predictions. | Data
Analysis and Probability Pg 324-333 |
PS.A.2.c p. 45 PS.A.4.a,b p. 46 PS.B.2d,.f p. 47 PS.C.2.a p. 48 PS.D.1.a,c p. 48 | PSDA (SR 13-15, 16-19, 20-23, 24-27, 28-32, 33-36) | DASP Gr 8: 1a, b, e; 4d DASP Gr 12: 1b, e; 4d | Standard
6
Level III
Benchmark 5, 8
Standard 7 Level III Benchmark 3 |
|
| CLE 3102.5.3 Understand basic counting procedures and concepts of probability. | Data
Analysis and Probability Pg 324-333 |
D.B.1.a
p. 8
PS.A.1.a-d p. 44 PS.A.2.a,c,d p. 44 |
PSDA (SR 20-23, 24-27, 28-32) | DASP Gr 8: 1b; 4h, j DASP Gr 12 1b; 4e, h, j | Standard
7
Level III
Benchmark 1, 2, 3, 5
Standard 7 Level IV Benchmark 3 |
|
| Algebra II | CLE 3103.5.1 Describe, interpret, and apply quantitative data. | Data
Analysis and Probability Pg 324-333 |
PS.A.2.c p. 45 PS.A.4.a,b p. 46 PS.B.2.c,d, f p. 46-47 PS.D.1.a,c p. 48 PS.C.2.a,b p. 48 | PSDA (SR 13-15, 16-19, 20-23, 24-27, 28-32, 33-36) | DASP Gr 12: 1a, b, c, f; 2a; 3c; 4j | Standard 6 Level IV Benchmark 1, 2, 5 |
| CLE 3103.5.2 Evaluate and critique various ways of collecting data and using information based on data published in the media. | Data
Analysis and Probability Pg 324-333 |
PS.A.3.b,c p. 45 PS.B.2.e p. 47 | PSDA (SR 33-36) | DASP Gr 12: 3a, b, d, e | Standard
6
Level III
Benchmark 7, 10
Standard 6 Level IV Benchmark 6, 8 |
|
| CLE 3103.5.3 Use data and statistical thinking to draw inferences, make predictions, justify conclusions and identify and explain misleading uses of data. | Data
Analysis and Probability Pg 324-333 |
PS.A.2.c p. 45 PS.B.2.e,f p. 47 PS.D.1.c,e p. 48-49 | PSDA (SR 33-36) | DASP Gr 12: 2e; 3c; 5a, c, d, e | Standard
6
Level III
Benchmark 5, 7, 10
Standard 6 Level IV Benchmark 6, 8, 9 |
|
| CLE 3103.5.4 Develop an understanding of probability concepts in order to make informed decisions. | Data
Analysis and Probability Pg 324-333 |
D.B.1.a p.
8 PS.A.1.a-d p. 44 PS.A.2.a,c,d p. 44 PS.B.1a,b p. 46 |
PSDA (SR 20-23, 24-27, 28-32, 33-36) | DASP Gr 12: 4b, c, d, e, h, i, j, | Standard 7 Level IV Benchmark 2, 4, 5 | |
| Geometry | CLE 3108.5.1 Analyze, interpret, employ and construct accurate statistical graphs. | Data
Analysis and Probability Pg 324-333 |
PS.B.2.a, b, f p. 46 | PSDA (SR 13-15, 16-19, 20-23, 24-27, 28-32, 33-36) | DASP Gr 8: 1a, b, d, e DASP Gr 12: 1a, b, d | Standard
6
Level III
Benchmark 4, 6, 8
Standard 6 Level IV Benchmark 1 |
| CLE 3108.5.2 Develop the basic principles of geometric probability. | Data
Analysis and Probability Pg 324-333 |
PS.B.1.d p.46 | PSDA
(SR 28-32, 33-36)
M
(SR 33-36)
PPF (SR 33-36) |
DASP
Gr 8: 4c, j
DASP Gr 12: 4j |
Standard
7
Level III
Benchmark 1
Standard 7 Level IV Benchmark 3, 4 |
|