PA.A.3.1 Use substitution to simplify and evaluate algebraic expressions.
In a Nutshell
Evaluate algebraic expressions containing rational numbers and whole number exponents at specified values of their variables. For example: Evaluate the expression 2 x 2 - 7, at x = 5. Justify steps of solution according to the order of operations and operational properties.
Student Actions
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Teacher Actions
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Key Understandings
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Misconceptions
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- Evaluate an algebraic expression by replacing the variable with the defined values and using order of operations to find the value of the expression.
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Order of Operations is often used improperly and students believe multiplication should occur before division and addition should occur before subtraction when in reality multiplication and division are one step (from left to right) along with addition and subtraction.
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Students will occasionally have trouble with substitution when there are coefficients or multiple variables. It helps to ask students to always use parentheses when substituting. (ex. 4x when x=3; students might substitute this as 43 instead of 4(3) ).
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OKMath Framework Introduction
Pre-Algebra Introduction
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