Showing posts with label No Solution. Show all posts
Showing posts with label No Solution. Show all posts
Saturday, October 28, 2017

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:




You tin download the file for this activity here.

Sorting Cards for Solving Equations amongst Variables on Both Sides

Since my non-standard operations sorting bill of fare activity was such a striking alongside my Algebra i students, I decided to purpose the same exercise construction to brand an activeness for my students to transcend extra exercise alongside solving equations alongside variables on both sides.

I created a deck of 12 cards. Each bill of fare contained an equation alongside variables on both sides in addition to a particular symbol.


When the 12 equations are solved, they tin last placed into iv groups of iii cards each. Each bill of fare inwards the grouping volition accept the exact same solution. I similar this construction because it helps students banking concern gibe their operate in addition to builds confidence all at the same time. If students terminate upwards alongside v or to a greater extent than groups, they know to re-check the problems inwards the groups that had the to the lowest degree cards inwards them. 

I printed these cards on pretty pinkish newspaper in addition to laminated each set. 

I too created an answer fundamental canvas that lets me speedily banking concern gibe a group's operate to run across if their groupings are correct.



You tin download the file for this activeness here.