major concept map - new classrooms & teach to one: …...major concept map 184 skills in 64...

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POST Algebra Extension 4 Major Concepts 11 Skills in ALG 45 16 Skills in Major Concepts 21 Skills in Additional Concepts 7 th GRADE 23 7 Skills in Major Concepts 19 Skills in Additional Concepts 6 th GRADE 22 7 Skills in Major Concepts 22 Skills in Additional Concepts 5 th GRADE 25 9 Skills in Major Concepts 14 Skills in Additional Concepts PRE 2-4 TH GRADE FOUNDATIONAL Skills in Major Concepts 7 Skills in Additional Concepts 30 11 8 th GRADE 37 12 Skills in Major Concepts 10 Skills in Additional Concepts Understanding Addition & Subtraction Understanding Multiplication Understanding Division Whole Number Place Value Compare Whole Numbers Understanding Area Basic Algebraic Thinking Understanding 2-D Objects Adding & Subtracting Like Fractions Representing Fractions Fraction Equivalence Understanding Fractions Place Value Whole Numbers Operations Dimensional Geometry Decimal Place Value Properties & Powers of 10 Dividing Decimals Adding & Subtracting Unlike Fractions Multiplying Fractions Multiplying Decimals Adding & Subtracting Decimals Understanding Volume Multiply & Divide Large Numbers Evaluating Expressions Fraction Operations Dividing Fractions Ratios Rational Numbers & The Number Line Rates Understanding Percents Simple Equations Translating Expressions Evaluating Numerical Expressions Evaluating Algebraic Expressions Percents Rational Numbers Ratio Reasoning Solving Basic Equations Representing Rational Numbers Algebraic Inequalities Applying Percents Proportional Relationships Two-Step Equations Operations with Rational Numbers Operations with Linear Expressions Transformational Geometry Missing Angles Pythagorean Theorem Multi-Step Equations Square & Cube Roots Laws of Exponents Understanding Functions Interpreting Functions Scientific Notation Series of Transformations Linear Functions Types of Transformations Systems of Linear Equations Graphing Quadratics Operations w/Algebraic Expressions Algebraic Functions Solving Quadratics System of Functions Solving Complex Equations Solving Complex Linear Equations Manipulating Linear Equations Solving Complex Linear Inequalities Advanced Systems of Functions Trigonometric Ratios Function Properties Understanding Correlations Exponential Functions Rational Expressions Rational Equations Sequences Graphing Linear Inequalities Solving Quadratic Equations Factoring Polynomials Polynomial Operations 9 10 13 8 5 5 7 12 11 6 7 7 10 6 6 10 Page 3 MAJOR CONCEPT MAP 184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only

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Page 1: MAJOR CONCEPT MAP - New Classrooms & Teach to One: …...MAJOR CONCEPT MAP 184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only. POST Algebra Extension 4 Major

POSTAlgebra Extension

4Major Concepts

11Skills in

ALG45

16

Skills in

Major Concepts

21 Skills in Additional Concepts

7thGRADE

23

7

Skills in

Major Concepts

19 Skills inAdditional Concepts

6thGRADE

22

7

Skills in

Major Concepts

22 Skills inAdditional Concepts

5thGRADE

25

9

Skills in

Major Concepts

14 Skills inAdditional Concepts

PRE2-4TH GRADE

FOUNDATIONAL

Skills in

Major Concepts

7 Skills inAdditional Concepts

30

11

8thGRADE

37

12

Skills in

Major Concepts

10 Skills inAdditional Concepts

UnderstandingAddition &Subtraction

Understanding Multiplication

UnderstandingDivision

Whole NumberPlace Value

CompareWhole Numbers

UnderstandingArea

Basic AlgebraicThinking

Understanding2-D Objects

Adding &Subtracting

Like Fractions

RepresentingFractions

FractionEquivalence

Understanding Fractions

Place Value

Whole NumbersOperations

DimensionalGeometry

DecimalPlace Value

Properties &Powers of 10

DividingDecimals

Adding &Subtracting

Unlike Fractions

MultiplyingFractions

Multiplying Decimals

Adding &SubtractingDecimals

UnderstandingVolume

Multiply &Divide Large

Numbers

Evaluating Expressions

FractionOperations

DividingFractions

Ratios

RationalNumbers & The

Number Line Rates

Understanding Percents

SimpleEquations

TranslatingExpressions

EvaluatingNumerical

Expressions

EvaluatingAlgebraic

Expressions

Percents

Rational Numbers

RatioReasoning

Solving BasicEquations

RepresentingRationalNumbers

AlgebraicInequalities

ApplyingPercents

ProportionalRelationships

Two-StepEquations

Operationswith Rational

Numbers

Operationswith LinearExpressions

TransformationalGeometry

MissingAngles

PythagoreanTheorem

Multi-StepEquations

Square &Cube Roots

Laws ofExponents

UnderstandingFunctions

InterpretingFunctions

ScientificNotation

Series ofTransformations

LinearFunctions

Types ofTransformations

Systemsof LinearEquations

GraphingQuadratics

Operations w/Algebraic Expressions

Algebraic Functions

Solving Quadratics

System of Functions

Solving Complex Equations

SolvingComplex Linear

Equations

ManipulatingLinear Equations

Solving Complex Linear

Inequalities

AdvancedSystems ofFunctions

Trigonometric Ratios

FunctionPropertiesUnderstanding

Correlations

ExponentialFunctions

RationalExpressions

RationalEquations

Sequences

Graphing LinearInequalities

SolvingQuadraticEquations

FactoringPolynomials

PolynomialOperations

9

10

13

8

5

5

7

12

11

6

7

7

10

6

6

10

Page 3

MAJOR CONCEPT MAP184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only

Page 2: MAJOR CONCEPT MAP - New Classrooms & Teach to One: …...MAJOR CONCEPT MAP 184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only. POST Algebra Extension 4 Major

POSTAlgebra Extension

4Major Concepts

11Skills in

ALG45

16

Skills in

Major Concepts

21 Skills in Additional Concepts

8thGRADE

37

12

Skills in

Major Concepts

10 Skills inAdditional Concepts

7thGRADE

23

7

Skills in

Major Concepts

19 Skills inAdditional Concepts

6thGRADE

22

7

Skills in

Major Concepts

22 Skills inAdditional Concepts

5thGRADE

25

9

Skills in

Major Concepts

14 Skills inAdditional Concepts

PRE2-4TH GRADE

FOUNDATIONAL

Skills in

Major Concepts

7 Skills inAdditional Concepts

30

11

Compare WholeNumbers

Understanding Division

Understanding2-D Objects

Basic AlgebraicThinking

UnderstandingAddition &Subtraction

Understanding Multiplication

Whole NumberPlace Value

Understanding Area

Adding &Subtracting

Like Fractions

Representing Fractions

FractionEquivalence

Understanding Fractions

Ratios

Place Value

Whole NumbersOperations

DimensionalGeometry

Decimal Place Value

Properties &Powers of 10

DividingDecimals

Adding &Subtracting

Unlike Fractions

MultiplyingFractions

Multiplying Decimals

Adding & SubtractingDecimals

Understanding Volume

Multiply & Divide Large

Numbers

Evaluating Expressions

FractionOperations

DividingFractions

Rational Numbers & The

Number Line

Rates

Understanding Percents

Evaluating Numerical Expressions

Evaluating Algebraic

Expressions

Simple Equations

TranslatingExpressions

Percents

Rational Numbers Ratio

Reasoning

Solving BasicEquations

RepresentingRational Numbers

Applying Percents

ProportionalRelationships

Two-Step Equations

Operationswith Rational

Numbers

Operationswith LinearExpressions

Algebraic Inequalities

MissingAngles

TransformationalGeometry

PythagoreanTheorem

Multi-Step Equations

Square & Cube Roots

Laws of Exponents

Understanding Functions

Interpreting Functions

Scientific Notation

Series ofTransformations

Systemsof LinearEquations Linear

Functions

Types ofTransformations

Trigonometric Ratios

Operations w/Algebraic Expressions

Algebraic Functions

Solving Quadratics

System of Functions

Solving Complex Equations

SolvingComplex Linear

Equations

ManipulatingLinear Equations

Solving ComplexLinear

Inequalities

AdvancedSystems ofFunctions

FunctionPropertiesUnderstanding

Correlations

ExponentialFunctions

RationalExpressions

RationalEquations

Sequences

Graphing LinearInequalities

Solving Quadratic Equations

GraphingQuadratics

Factoring Polynomials

PolynomialOperations

5TH GRADE MAJOR CONCEPT MAP184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only

9

10

13

9

5

5

7

12

11

6

7

710

67

10

Page 4

Page 3: MAJOR CONCEPT MAP - New Classrooms & Teach to One: …...MAJOR CONCEPT MAP 184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only. POST Algebra Extension 4 Major

POSTAlgebra Extension

4Major Concepts

11Skills in

ALG45

16

Skills in

Major Concepts

21 Skills in Additional Concepts

8thGRADE

37

12

Skills in

Major Concepts

10 Skills inAdditional Concepts

7thGRADE

23

7

Skills in

Major Concepts

19 Skills inAdditional Concepts

6thGRADE

22

7

Skills in

Major Concepts

22 Skills inAdditional Concepts

5thGRADE

25

9

Skills in

Major Concepts

14 Skills inAdditional Concepts

PRE2-4TH GRADE

FOUNDATIONAL

Skills in

Major Concepts

7 Skills inAdditional Concepts

30

11

UnderstandingAddition &Subtraction

Understanding Multiplication

Understanding Division

Whole NumberPlace Value

Compare WholeNumbers

Basic AlgebraicThinking

Adding & Subtracting

Like Fractions

Representing Fractions

FractionEquivalence

Understanding Fractions

Understanding2-D Objects

Place Value

Whole NumbersOperations

Decimal Place Value

Properties &Powers of 10

Adding &Subtracting

Unlike Fractions

MultiplyingFractions

Multiplying Decimals

Multiply & Divide Large

Numbers

DividingDecimals

Adding & SubtractingDecimals

Understanding Area

DimensionalGeometry

Understanding Volume

EvaluatingExpressions

FractionOperations

DividingFractions

Ratios

Rational Numbers & The

Number Line

Rates

Understanding Percents

Simple Equations

Translating Expressions

EvaluatingNumerical

Expressions

Evaluating Algebraic

Expressions

Percents

RationalNumbers

RatioReasoning

Solving BasicEquations

RepresentingRational Numbers

Algebraic Inequalities

Applying Percents

ProportionalRelationships

Two-StepEquations

Operationswith Rational

Numbers

Operations with Linear Expressions

TransformationalGeometry

Missing Angles

PythagoreanTheorem

Multi-Step Equations

Square & Cube Roots

Laws of Exponents

Understanding Functions

Interpreting Functions

Scientific Notation

Series ofTransformations

Systems of Linear Equations Linear

Functions

Types ofTransformations

Operations w/Algebraic Expressions

Algebraic Functions

Solving Quadratics

System of Functions

Solving Complex Equations

SolvingComplex Linear

Equations

ManipulatingLinear

Equations

Solving ComplexLinear

Inequalities

AdvancedSystems ofFunctions

Trigonometric Ratios

FunctionPropertiesUnderstanding

Correlations

ExponentialFunctions

RationalExpressions

RationalEquations Sequences

Graphing LinearInequalities

Solving Quadratic Equations

GraphingQuadratics

Factoring Polynomials

PolynomialOperations

6TH GRADE MAJOR CONCEPT MAP184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only

9

10

13

9

5

5

7

12

11

6

7

7

10

6

7

10

Page 5

Page 4: MAJOR CONCEPT MAP - New Classrooms & Teach to One: …...MAJOR CONCEPT MAP 184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only. POST Algebra Extension 4 Major

POSTAlgebra Extension

4Major Concepts

11Skills in

ALG45

16

Skills in

Major Concepts

21 Skills in Additional Concepts

8thGRADE

37

12

Skills in

Major Concepts

10 Skills inAdditional Concepts

7thGRADE

23

7

Skills in

Major Concepts

19 Skills inAdditional Concepts

6thGRADE

22

7

Skills in

Major Concepts

22 Skills inAdditional Concepts

5thGRADE

25

9

Skills in

Major Concepts

14 Skills inAdditional Concepts

PRE2-4TH GRADE

FOUNDATIONAL

Skills in

Major Concepts

7 Skills inAdditional Concepts

30

11

UnderstandingAddition &Subtraction

Understanding Multiplication

Understanding Division

Whole NumberPlace Value

Compare WholeNumbers

Basic AlgebraicThinking

Representing Fractions

FractionEquivalence

Understanding Fractions

Adding & Subtracting

Like Fractions

Understanding2-D Objects Understanding

Area

DimensionalGeometry

Understanding Volume

Place Value

Whole NumbersOperations

Decimal Place Value

Properties &Powers of 10

Multiplying Decimals

Adding & SubtractingDecimals

DividingDecimals

Multiply & Divide Large

Numbers

Adding &Subtracting

Unlike Fractions

MultiplyingFractions

Evaluating Expressions

Ratios

DividingFractions

RationalNumbers & The

Number Line

Rates

Understanding Percents

Simple Equations

Translating Expressions

Evaluating Numerical Expressions

Evaluating Algebraic

Expressions

FractionOperations

Percents

Rational Numbers

RatioReasoning

Solving BasicEquations

RepresentingRational Numbers

Algebraic Inequalities

Applying Percents

ProportionalRelationships

Two-StepEquations

Operations with Rational

Numbers

Operations with Linear Expressions

TransformationalGeometry

PythagoreanTheorem

Multi-Step Equations

Laws of Exponents

Understanding Functions

Interpreting Functions

Series ofTransformations

Systemsof LinearEquations

LinearFunctions

Types ofTransformations

Missing Angles

Square & Cube Roots

Scientific Notation

Operations w/Algebraic Expressions

Algebraic Functions

Solving Quadratics

System of Functions

Solving Complex Equations

Solving Complex Linear

Equations

Manipulating Linear

EquationsSolving ComplexLinear

Inequalities

AdvancedSystems ofFunctions

FunctionProperties

UnderstandingCorrelations

ExponentialFunctions

RationalExpressions

RationalEquations

Sequences

Graphing LinearInequalities

Solving Quadratic Equations

GraphingQuadratics

Factoring Polynomials

PolynomialOperations

Trigonometric Ratios

7TH GRADE MAJOR CONCEPT MAP184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only

9

10

13

9

5

5

7

12

11

6

7

710

6

7

10

Page 6

Page 5: MAJOR CONCEPT MAP - New Classrooms & Teach to One: …...MAJOR CONCEPT MAP 184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only. POST Algebra Extension 4 Major

Understanding Percents

Percents

RepresentingRational Numbers

Applying Percents

POSTAlgebra Extension

4Major Concepts

11Skills in

ALG47

16

Skills in

Major Concepts

21 Skills in Additional Concepts

8thGRADE

37

12

Skills in

Major Concepts

10 Skills inAdditional Concepts

7thGRADE

23

7

Skills in

Major Concepts

19 Skills inAdditional Concepts

6thGRADE

22

7

Skills in

Major Concepts

22 Skills inAdditional Concepts

5thGRADE

25

9

Skills in

Major Concepts

14 Skills inAdditional Concepts

PRE2-4TH GRADE

FOUNDATIONAL

Skills in

Major Concepts

7 Skills inAdditional Concepts

30

11

UnderstandingAddition &Subtraction

UnderstandingMultiplication

UnderstandingDivision

Whole NumberPlace Value

CompareWhole

Numbers

Basic AlgebraicThinkingUnderstanding

2-D Objects

Adding & Subtracting

Like Fractions

Representing Fractions

FractionEquivalence

Understanding Fractions

Place Value

Whole NumbersOperations

Decimal Place Value

Properties &Powers of 10

DividingDecimals

Adding &Subtracting

Unlike Fractions

MultiplyingFractions

Multiplying Decimals

Adding & SubtractingDecimals

Multiply &Divide Large

Numbers

Understanding Area

DimensionalGeometry

Understanding Volume

Evaluating Expressions

FractionOperations

DividingFractions

Ratios

Rational Numbers & The

Number Line

Rates

Simple Equations

Translating Expressions

EvaluatingNumerical

Expressions

Evaluating Algebraic

Expressions

Rational Numbers

RatioReasoning

Solving BasicEquations

ProportionalRelationships

Two-Step Equations

Operationswith Rational

Numbers

Algebraic Inequalities

Operations with Linear Expressions

TransformationalGeometry

Missing Angles

PythagoreanTheorem

Multi-Step Equations

Square & Cube Roots

Laws of Exponents

Understanding Functions

Interpreting Functions

Scientific Notation

Series ofTransformations

Systemsof LinearEquations

LinearFunctions

Types ofTransformations

Operations w/Algebraic Expressions

Algebraic Functions

Solving Quadratics

System of Functions

Solving Complex Equations

SolvingComplex Linear

Equations

ManipulatingLinear

EquationsSolving Complex

Linear Inequalities

Advanced Systems ofFunctions

FunctionPropertiesUnderstanding

Correlations

ExponentialFunctions

RationalExpressions

RationalEquations Sequences

Graphing LinearInequalities

Solving Quadratic Equations

GraphingQuadratics

FactoringPolynomials

PolynomialOperations

Trigonometric Ratios

8TH GRADE MAJOR CONCEPT MAP184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only

9

10

13

9

5

5

7

12

11

6

7

710

6

7

10

Page 7

Page 6: MAJOR CONCEPT MAP - New Classrooms & Teach to One: …...MAJOR CONCEPT MAP 184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only. POST Algebra Extension 4 Major

POSTAlgebra Extension

4Major Concepts

11Skills in

8thGRADE

37

12

Skills in

Major Concepts

10 Skills inAdditional Concepts

ALG47

16

Skills in

Major Concepts

21 Skills in Additional Concepts

7thGRADE

23

7

Skills in

Major Concepts

19 Skills inAdditional Concepts

6thGRADE

22

7

Skills in

Major Concepts

22 Skills inAdditional Concepts

5thGRADE

25

9

Skills in

Major Concepts

14 Skills inAdditional Concepts

PRE2-4TH GRADE

FOUNDATIONAL

Skills in

Major Concepts

7 Skills inAdditional Concepts

30

11

UnderstandingAddition &Subtraction

Understanding Multiplication

Understanding Division

Whole NumberPlace Value

Compare WholeNumbers

Basic AlgebraicThinking

Adding &Subtracting

Like Fractions

RepresentingFractions

FractionEquivalence

Understanding Fractions

Understanding2-D Objects

Place Value

Whole NumbersOperations

Decimal Place Value

Properties &Powers of 10

DividingDecimals

Adding &Subtracting

Unlike Fractions

MultiplyingFractions

Multiplying Decimals

Adding &SubtractingDecimals

Multiply & Divide Large

Numbers

Understanding Area

DimensionalGeometry

Understanding Volume

Evaluating Expressions

FractionOperations

DividingFractions

Ratios

RationalNumbers & The

Number Line

Rates

Simple Equations

Translating Expressions

Evaluating Numerical Expressions

Evaluating Algebraic

Expressions

Rational Numbers

RatioReasoning

Solving BasicEquations

Algebraic Inequalities

ProportionalRelationships

Two-Step Equations

Operationswith Rational

Numbers

Operationswith Linear Expressions

Understanding Percents

Percents

RepresentingRational Numbers

Applying Percents

TransformationalGeometry

Series ofTransformations

Types ofTransformations

Multi-Step Equations

Square & Cube Roots

Laws of Exponents

Understanding Functions

Interpreting Functions

Systemsof LinearEquations Linear

Functions

Missing Angles

PythagoreanTheorem

Scientific Notation

Operations w/Algebraic Expressions

Algebraic Functions

Solving Quadratics

System of Functions

Solving Complex Equations

Solving ComplexLinear Equations

ManipulatingLinear EquationsSolving

Complex LinearInequalities

AdvancedSystems ofFunctions

FunctionPropertiesUnderstanding

Correlations

ExponentialFunctions

RationalExpressions

RationalEquations

Sequences

Graphing LinearInequalities

Solving Quadratic Equations

GraphingQuadratics

Factoring Polynomials

PolynomialOperations

Trigonometric Ratios

ALGEBRA MAJOR CONCEPT MAP184 Skills in 64 Major Concepts + 107 Additional Skills in Appendix only

9

10

13

9

5

5

7

12

11

6

7

710

6

7

10

Page 8