# Christmas Graphing Challenge: Graphing Linear Equations

If you teach Pre-Algebra or Algebra, then I have a fun **Christmas themed freebie** for you today! One skill that is so important in early Algebra is **graphing linear equations**. I spent a lot of time as a teacher trying to help kids recognize that **the graph is a picture of what the equation represents**. It’s just *another way* to represent the information. So to help kids understand the connections between **a table**, **an equation** and **the graph** of a line requires lots of practice and experimenting. So today, day 10 of my **“12 Days of Christmas”** math series will provide just that: **graphing practice**!

***Please Note:** This post contains affiliate links which help support the work of this site. Read our full disclosure policy here.*

**Graphing Linear Equations Practice:**

The goal of this activity *is not simply to graph lines*. It is to help students **make connections between the equation and the graph**.

Between **the slope and y-intercept and the graph**.

And to challenge them to *look at an equation* and **estimate what it will look like on a graph**.

**Christmas Graphing Challenge:**

So how does it work?

Well, the purpose of each line is to help Santa “collect” the toys to pass out on Christmas Eve.

**In order to “collect” a toy, one of the lines must cross through it.**

So students **must graph a line correctly** in order to collect all the toys.

The **first page** of this download is simply **graphing linear equations practice**.

I did not specify *how* they must graph each line, but the equations are given in s**lope-intercept form**.

It also includes a couple of constants, to help kids recognize the difference between **vertical and horizontal lines**.

This will provide **a fun review** if this is something your students are already familiar with. It’s also helpful that it is **self checking**, because if they graph one of the lines and it doesn’t pass through a toy, they’ve done something wrong.

**Writing Linear Equations Challenge:**

Once your kids are familiar with the format of this activity and have had a chance to review and practice graphing equations, you can **challenge them to the second activity**.

As I mentioned, my desire is not for students to simply *go through the motions*, but to **understand what all the pieces of the equation mean**.

So the second page is set up in a similar way, with a variety of toys on the graph.

The goal is still to help Santa “collect” all the toys, **but there are no equations to graph**.

Instead, they have to **write their own equations**. **One equation per toy**.

This will force kids to **think about what the line will look like**, and **where it will fall on the graph**. It will require **problem solving** as they find a line that exactly crosses through each toy.

I’ve left the instruction open-ended in terms of how kids should come up with their equations. However, I included **a set of points at the bottom as a hint**. These points represent each toy on the grid, and should be crossed in order to “collect” each toy.

They can also use the points **to check their answers** to verify that their line does in fact cross through the toy.

If you teach younger kids, you may want to **let them use a calculator** to test out equations and compare. They can then **make changes to the equation** and **observe how it affects the graph**.

**More Christmas Algebra Games:**

*Looking for a variety of Christmas games & challenges in one download? The Christmas Algebra Collection includes these graphing pages, along with a variety of other games covering linear equations, graphing, evaluating expressions and more.*

**Buy the Christmas Algebra Games for just $3 HERE!**

So I hope this simple, Christmas themed activity gets your kids thinking and **making sense of linear equations in a new way**!