Two summers ago, I created some open middle style problems that have been a hit in my classroom. Both problems use a reusable set of tiles that have the numbers from -4 to +4 printed on them. These tiles are laminated which has helped them hold up to use over multiple years. The first problem …

# Types of Solutions

I used Sarah Rubin’s idea of using scales to model solving equations with variables on both sides. It turned out to be a brilliant introduction to the concepts of one solution, no solution, and infinite solutions. I did exactly as she said to. I passed out these 6 balanced scale problems to my students. It …