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A2-A-2-2

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

A2.A.2.2 Add, subtract, multiply, divide, and simplify polynomial and rational expressions.


In a Nutshell

Students will use their knowledge of exponents and similar terms in order to add, subtract, multiply and divide polynomial expressions.  Students will use their knowledge of fractions and factoring in order to add, subtract, multiply and divide rational expressions.  They will also learn to identify when an expression can be simplified and use correct mathematical procedures to simplify them.

Student Actions

Teacher Actions

  • Students will use previous knowledge of operations with exponents to develop a deep conceptual understanding of how to simplify polynomials.

  • Students will develop accurate procedural fluency in addition, subtraction, multiplication division and simplification of polynomial and rational expressions. 

  • Motivate student learning by presenting problems that build on and extend their current mathematical understanding of exponents.

  • Implement tasks that require a high level of understanding for procedural fluency in arithmetic operations of polynomials and rational expressions.

  • Support productive students’ struggle with efficient procedures of arithmetic operations and be prepared to support them through the struggle.

Key Understandings

Misconceptions

  • Recognize and perform arithmetic operations on polynomials and rational expressions.
  • Simplify polynomials expressions properly.
  • Recognize when a rational expression is not in simplest form and simplify it properly.

  • Students try to combine terms with different powers.

  • When subtracting, students forget to distribute the negative to the entire second expression.

  • Students forget to follow rules of exponents when multiplying polynomials.

  • Students incorrectly apply the distributive property to multiply polynomial.

  • The students cancel factors incorrectly when dividing polynomials or simplifying rational expressions.

  • Students do not find a common denominator when adding or subtracting rational equations.

  • When multiplying rational expressions, students try to cross multiply.

  • Students don’t factor correctly when trying to simplify rational expressions.

OKMath Framework Introduction

Algebra 2 Grade Introduction

 

 

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