7.2 - Multiplying Polynomials
Introduction:
This is a set of guiding questions and materials for creating your own lesson plan on how to multiply polynomials.
Common Core State Standards:
A.APR.1
Learning Objectives:
- To multiply polynomials by a monomial (including constants).
- To multiply two binomials.
- To multiply any two polynomials.
Guiding Questions:
- What is (2x)(3y)? What properties did you use?
- Are constants monomials?
- What is 3(7x + 2)? What happens in this case: 3(2+7)?
- How would you multiply two binomials? What about (2 + 3)(5 + 4)?
- How can we extend that to (2x + 3)(5x + 4)?
- What about (2x + 3)(5x – 4)?
- What about (2x – 3)(5x – 4)?
- What about (2x + 3)2?
- How can we extend this to other polynomials, for instance, (3x + 2)(4x2 + x – 7)?
Notes for Teachers:
- It is appropriate to review (or introduce?) associativity and commutativity when exploring how to multiply two monomials.
- When introducing the basic operations, do them first without variables. For instance, 3(2+7) = 6 + 21 = 3(9) = 27.
Video of the Day:
Multiplying two binomials
Clear and effective approach to learning how to multiply two binomials based on decomposing integers.
Additional Resource for Teachers:
If you wish to download the contents of this page as a printable pdf, click here: 7.2 Multiplying Polynomials.pdf
Download 7.2 Multiplying Polynomials.pdf