Multiplying Binomials by Area Model Algebra 1 Worksheet With Scrambled Answers

### Description

This worksheet is designed to help students master how to multiply binomials. I use the area model now (some might call it lattice math) when teaching multiplying binomials, especially with my Intervention Algebra classes. I used to use FOIL (like everyone else), but have found this method to be a lot easier for students to grasp/master, especially lower ability students.

Multiplying binomials when using FOIL can be messy and confusing for some students. It is a little abstract, and some have trouble understanding the concept and can easily make mistakes. The Area Model is more concrete and visual, and allows students to see what is going on more effectively. The work is neatly organized in the table, and they are less likely to make a mistake (or can more easily catch their mistakes when they make them).

I also teach Algebra 2 at our high school, and have found that the Area Model is an excellent way for students to multiply two quadratics/polynomials. When you start getting to many terms in a polynomial, it is easy to get lost or forget to multiply two terms. Students that have a background with the Area Model seem to have more success at multiplying polynomials in Algebra 2.

It does not matter which term the students put at the top/side, as they will get the same answer either way. They multiply the side terms by the top terms and fill in the boxes. The diagonal that contains the top right and the bottom left will always be the like terms to combine.

I have included an answer key for this worksheet. There are scrambled answers at the end of this worksheet so students can check themselves as they work through this worksheet.