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PA-A-3-1

Page history last edited by Tashe Harris 6 years, 1 month ago

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

Teacher Actions

  • Develop Strategies for Problem Solving when given an expression to evaluate, justify the steps to be performed according to the order of operations.

  • Develop a Deep and Flexible Understanding when grappling with the idea that evaluating an expression with substitution is problem specific and the variable can vary its value from problem to problem. 
  • Implement meaningful tasks that promote reasoning and problem solving by providing students with opportunities to find the mistakes within order of operations problems and see that completing steps in  different orders produces different results.

  • Build procedural fluency by having students show and discuss their process of simplifying expressions using equivalent expressions. 

Key Understandings

Misconceptions

  • Evaluate an algebraic expression by replacing the variable with the defined values and using order of operations to find the value of the expression. 
  • 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.

  • 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) ).

OKMath Framework Introduction

Pre-Algebra Introduction

 

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