b. Recognize that a symbol represents the same number throughout an equation or expression (e.g., Δ + Δ = 8; thus, Δ = 4). 

Algebraic Reasoning

2.2b Symbol representation

d. Describe and use the commutative, associative, distributive, and identity properties of addition and multiplication, and the zero property of multiplication. 

2.2d The Zero, Identity, and commutative properties of multiplication

2.2d The Distributive Property

2.2d Communicative property of multiplication

2.2d Communicative Property of Addition

Describe and use the commutative, associative, distributive, and identity properties of addition and multiplication, and the zero property of multiplication. 

2.2d Use algebraic expressions, symbols, and properties of the operations to represent, simplify, and solve mathematical equations and inequalities.

Recognize that a symbol represents the same number throughout an equation or expression (e.g., Δ + Δ = 8; thus, Δ = 4). 

a. Use the order of operations to evaluate, simplify, and compare mathematical expressions involving the four operations, parentheses, and the symbols <, >, and = (e.g., 2x (4 - 1) + 3; of the two quantities 7 - (3 - 2) or (7 - 3) - 2, which is greater?). b. Express single-operation problem situations as equations and solve the equation. 

a. Use the order of operations to evaluate, simplify, and compare mathematical expressions involving the four operations, parentheses, and the symbols , and = (e.g., 2x (4 - 1) + 3; of the two quantities 7 - (3 - 2) or (7 - 3) - 2, which is greater?). b. Express single-operation problem situations as equations and solve the equation. 

2.2a Order of operations

b. Recognize, represent, and extend simple patterns involving multiples and other number patterns (e.g., square numbers) using objects, pictures, numbers, and tables. 

2.1b Revised Recognize/represent/extend simple patterns

Standard 2 Object 1b Recognize/represent/extend simple patterns

c. Describe and use the commutative, associative, distributive, and identity properties of addition and multiplication, and the zero property of multiplication. 

Standard 2 Object 2d Properties

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Algebraic Reasoning

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