First, students will learn how to multiply binomials by polynomials using the box method. Then students will learn the abstract method, which is slightly faster. The coefficients in each polynomial may be integers or rationals.
Conclude by giving your students these challenges:
- Class 5's Names by NRICH
- Great Squares by NRICH
- 2017 AMC 8, Problem 18
- Flunball on Planet Remulak by Pierce School: Problem / Solution
Multilink Cubes by NRICH: Have students attempt Challenge 1. They needn't find all possible arrangements. The goal is to show that rectangular prisms may have the same volume, even if their side lengths differ.