## Introducing Systems of Equations With Context and Visuals

Recently, I’ve shared a few tasks related to linear relations with a push to explore multiple strategies including simple systems of equations. The intention of this post is to take students from working with partial variation linear relations to systems of linear equations.

While I’m excited to share the sequel to the Tech Weigh In task, I think it is important that you explore some of the following tasks prior to introducing systems of equations. Check these out with your students as suggested prerequisites prior to introducing the new tasks from this post:

- Stacking Paper – Proportional Reasoning / Direct Variation Linear Relations
- Stacking Paper Sequel – Partial Variation Linear Relation Given Slope and a Point
- Thick Stacks – Partial Variation Linear Relation Given Two Points
- Tech Weigh In – Direct Variation & Partial Variation Linear Relations
- Camera Case & Pads of Paper Weigh In – Partial Variation Linear Relation Given Two Points

# Act 1 – Introduce the Problem

Show students this video.

Ask students what they are wondering? What questions come to mind?

After discussing with a group, help direct the focus to the question:

How much does each weigh?

Students can make predictions and argue why they believe their guess is best.

# Act 2 – Give Some Information

## Act 2, Scene 1

Show students scene 1.

Alternatively, you can show students the following images:

### The Weight of 1 x laptop, 1 x iPad Mini, 1 x iPad 2

### The Weight of 1 x laptop, 1 x iPad Mini, 2 x iPad 2

### The Weight of 1 x laptop, 2 x iPad Mini, 1 x iPad 2

Now, students can try to solve this system intuitively, by graphing or algebraically with substitution or elimination.

# Act 3 – Show The Solution

Show students the solution video.

Alternatively, you can show students these images:

Try it out and let us know how it goes in the comments!

## Share With Your Tribe:

## About Kyle Pearce

I’m Kyle Pearce and I am a former high school math teacher. I’m now the K-12 Mathematics Consultant with the Greater Essex County District School Board, where I uncover creative ways to spark curiosity and fuel sense making in mathematics. Read more.

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Grade 3 [3.NBT.2, 3.NF.1, 3.NF.3, 3.OA.1, 3.OA.5, 3.OA.9]

Grade 4 [4.MD.2, 4.NBT.6, 4.NF.3, 4.OA.1]

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