Lesson 3: Multiplying Polynomials

• How do we multiply polynomials?
• Why do we use the distributive property?
• How is this similar to multiplying numbers?
• How many terms should we get?

Distributive property, area model, product, multiply, term

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

Description: Students multiply polynomials using area models (rectangles divided into sections) and the distributive property. They start with monomial × polynomial, then progress to polynomial × polynomial. Area models help them visualize why they get certain numbers of terms. Purpose: To develop understanding of polynomial multiplication and reinforce the distributive property. DOK Level: 2-3 (Application)

• Start with area models: More visual than purely algebraic
• For struggling learners: Multiply only monomials by binomials or simple binomials
• For advanced learners: Multiply trinomials or use FOIL for binomials
• Step-by-step cards: Provide multiplication steps in order

• Observation: Can students use area models correctly?

• Worksheet: Multiply 4 polynomial expressions using area models

• Practice: Multiply polynomials using distributive property

• Check-your-work: Expand and verify the result

• Area model templates (rectangles)

• Algebra tiles

• Distributive property visual guide

• Multiplication practice worksheets

• Resource: Khan Academy "Multiplying Polynomials" (adapted)