## Reflection: Developing a Conceptual Understanding Multiplying Polynomials Investigation - Section 2: Investigation

This lesson is certainly a departure from the "typical" approach to teaching arithmetic with polynomials.  That said, it is focused on a topic that all math teachers mostly take for granted.  Sometimes I find it useful to make these implicit traits really explicit for students.  The more they can understand why polynomials "work" the way they do the deeper their understanding will be.  This investigation did a good job of making the relationship between the number of terms in the factors and the number of terms in the product of two polynomials really explicit.  It also gave students the tools to anticipate what an answer will look like before beginning their calculations.  This can be a really powerful habit of mind.

Look for the structure!
Developing a Conceptual Understanding: Look for the structure!

# Multiplying Polynomials Investigation

Unit 4: Polynomial Expressions
Lesson 8 of 18

## Big Idea: Students will discover that the number of terms in the product of two polynomials is connected to the number of terms in the expressions being multiplied.

Print Lesson
10 teachers like this lesson
Standards:
40 minutes

### James Bialasik

##### Similar Lessons

###### Simplifying Rational Expressions, Day 2
Algebra II » Rational Functions
Big Idea: Simplifying rational expressions isn't complicated until zero gets involved!
Favorites(1)
Resources(18)
Fort Collins, CO
Environment: Suburban

###### Combining Like Terms
Algebra I » Linear Equations
Big Idea: Students will identify the parts of an expression using math terminology. Students will understand the concept of like terms with the use parallel examples.
Favorites(167)
Resources(16)
Washington, DC
Environment: Urban

###### Vertex Form to Standard Form
Algebra I » Quadratics!
Big Idea: Students apply the multiplication models they have recently learned to the task of rewriting quadratic functions from vertex form into standard form.
Favorites(1)
Resources(14)
Boston, MA
Environment: Urban