Open Middle Style Problem for Equations amongst One/No/Infinite Solution(s)

Two summers ago, I created some opened upwards middle means problems that accept been a hitting inward my classroom. Both problems utilization a reusable fix of tiles that accept the numbers from -4 to +4 printed on them. These tiles are laminated which has helped them concur upwards to utilization over multiple years.

The offset work I created reviewed the concept of function/not a function. Students had to practise 3 relations that were functions. Then, they had to practise 3 relations that were non functions. I shared the file for this activity here.

I followed upwards the creation of that activity alongside an evaluating functions work that tin hold upwards downloaded here.

This year, I'm placing a big emphasis on solving equations alongside variables on both sides. Though I covered this final year, my emphasis on discussion problems meant I didn't practise a proficient chore of introducing my students to the concepts of no solution as well as interplanetary space solutions. This year's solving equations/inequalities unit of measurement hasn't gone perfectly, but I know it never will. I volition ever accept room for improvement every bit a teacher.

I decided to come across if I could brand an opened upwards middle means work for creating equations alongside i solution, no solution, as well as interplanetary space solutions.

First, I did a chip of lawsuit as well as fault on a combat of paper.

My hubby had to bail me out because I accidentally created 2 problems alongside interplanetary space solutions. Shaun reminded me that I had a lot of wiggle room because the tiles inward the i solution work could hold upwards moved simply about a lot.

Then, I took wages of the fact that my freshman students went on a champaign trip leaving me alongside well-nigh no students for an entire twenty-four hours to truly type upwards the activity.

After typing it up, I realized that I alone had 8 boxes for my nine tiles to fit in. Luckily, I simply had to brand a tiny tweak to the bottom equation.

Students accept to house the tiles inward the appropriate boxes as well as hence an equation is formed that matches each equation type. My students institute it pretty tardily to larn i of the equations correct. They institute it much harder to larn all 3 of the equations right using the exact release tiles provided.

Here are some activeness shots from my classroom: