Lesson 2: Adding & Subtracting Polynomials

• What are like terms?
• How do we combine like terms?
• Why can't we add terms with different powers?
• How is this similar to addition we already know?

Like terms, unlike terms, combine, simplify, variable, exponent

CCSS.MATH.9.A.APR.A.1

Description: Students learn that only like terms (terms with the same variable and exponent) can be combined. Using algebra tiles or color-coded manipulatives, they physically group like terms together and add/subtract them. They practice with polynomials of increasing complexity. Purpose: To develop procedural fluency in polynomial operations and deepen understanding of algebraic structure. DOK Level: 2 (Application)

• Concrete manipulatives: Use algebra tiles to represent and combine terms
• Color-coding: Use same color for like terms
• For struggling learners: Use polynomials with 2-3 terms; one variable only
• For advanced learners: Include multiple variables and higher degrees
• Vertical format: Write polynomials in columns to align like terms

• Observation: Do students correctly identify like terms?

• Worksheet: Add/subtract 6 polynomial expressions

• Simplification task: Simplify expressions with multiple like terms

• Check-your-work: Verify by substituting a value

• Algebra tiles or color-coded manipulatives

• Like terms sorting activity

• Addition/subtraction practice worksheets

• Vertical format templates

• Resource: Khan Academy "Adding & Subtracting Polynomials" (adapted)