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NCTM Strands Algebra

NCTM Algebra

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Page 1: NCTM Algebra

NCTM Strands

Algebra

Page 2: NCTM Algebra

NCTM Strands

Algebra

Geometry

Measurement

Data Analysis & Probability

Number and Operations

Page 3: NCTM Algebra

NCTM StrandsStrand 2

Data Analysis & Probability

Measurement

Geometry

Number and Operations

Algebra

Page 4: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

Page 5: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

Page 6: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

1

Page 7: NCTM Algebra

Algebra 1

Sort, classify, and order objects by size, number, and other properties

Understand patterns

Page 8: NCTM Algebra

Algebra 1

Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another

Copy a pattern (vertical & horizontal)

Understand patterns

Page 9: NCTM Algebra

Algebra 1

Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another

Extend a pattern

Understand patterns

Page 10: NCTM Algebra

Algebra 1

Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another

Extend a pattern

Understand patterns

A C E G I K M O

Page 11: NCTM Algebra

Algebra 1

Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another

What role/function does it have?

Understand patterns

Page 12: NCTM Algebra

Algebra 1

Analyze how both repeating and growing patterns are generated.

Understand patterns

Page 13: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

Page 14: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

2

Page 15: NCTM Algebra

Algebra 2

Illustrate general principles and properties of operations, such as commutativity, using specific numbers.

Represent & Analyze

Page 16: NCTM Algebra

Algebra 2

Illustrate general principles and properties of operations, such as commutativity, using specific numbers.

Represent & Analyze

+ +=

Page 17: NCTM Algebra

Algebra 2

Use concrete, pictorial, and verbal representations to develop an understanding of invented and conventional symbolic notations.

Represent & Analyze

1 2 3 45 6 7 89

Page 18: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

Page 19: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

3

Page 20: NCTM Algebra

Algebra 3

Model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols.

Use mathematical quantities

Page 21: NCTM Algebra

Algebra 3

Model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols.

Use mathematical quantities

x x x

Page 22: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

Page 23: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

4

Page 24: NCTM Algebra

Algebra 4

Describe qualitative change, such as a student's growing taller

Analyze change

photo by Dux Carvajal

Page 25: NCTM Algebra

Algebra 4

Describe quantitative change, such as a student's growing two inches in one year.

Analyze change

photo by Cat Sacdalan

Page 26: NCTM Algebra

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts