Match My Line

Develop your students’ graphing abilities with this multi-day series of linear function challenges:

match-linear-0

Lesson Notes

This series of “match my graph” challenges stems from this experience with two of my classes. (An related update is available here.)

While the content is appropriate for younger students (Grade 6 and above), I’ve found that even older, more mathematically experienced students benefit from working through these challenges (even those in Calculus).

There are three ways to play:

  1. Display the slide image (graph plus brief directions, included below) via projector and have students work on a new Desmos graph
  2. Direct students to the graph URL (included below)
  3. Print a copy of the slide image and have students work with pencil and paper only

Depending on your classroom situation, you may find that one of those works better than another. My preference is for #1-2.

Also, though I typically advocate for 2:1 computing with almost all Desmos activities (2 students, 1 device), for this series of challenges I would recommend a 1:1 setup. Student collaboration is still a valuable element of this lesson, but requiring every student to apply what they’re discussing to their own Desmos graph has proved useful with each of my classes.

One final note before we get to the goods: This is not intended to be a single lesson, but rather eight separate mini-challenges. Depending on your students, the challenges may take anywhere from 2 to 20 minutes (or even longer). To keep this format fresh, and to keep students engaged, I recommend a “short and sweet” approach, rather than packing several challenges into a graph-matching-marathon.

Match My Graph #1

 

Match My Graph.001https://www.desmos.com/calculator/dfdexjzqvy

Match My Graph #2

 

Match My Graph.002

https://www.desmos.com/calculator/phmxercufm

Match My Graph #3

 

Match My Graph.003

https://www.desmos.com/calculator/c1chlcvltp

Match My Graph #4

 

Match My Graph.004

https://www.desmos.com/calculator/nhaxiuju8h

Match My Graph #5

 

Match My Graph.005

https://www.desmos.com/calculator/yzxmok4xbm

Match My Graph #6

 

Match My Graph.006

https://www.desmos.com/calculator/gsiemb0l7c

Match My Graph #7

 

Match My Graph.007

https://www.desmos.com/calculator/du7avodbhn

Match My Graph #8

 

Match My Graph.008

https://www.desmos.com/calculator/3mbhbczmiw

Extensions

For challenges that require a single line (#1, 3, 5, and 7), you may extend the task for early finishers with this:

  1. How many different equations can you find that will match the graph?

Even on the relatively simple Challenge 1, with zero prompting I saw at least six different solutions. Here are a few.

Resources

Standards

  • CCSS 7.RP.A
    Understand ratio concepts and use ratio reasoning to solve problems.
  • CCSS 8.F.A
    Analyze proportional relationships and use them to solve real-world and mathematical problems.
  • CCSS 8.F.B
    Define, evaluate, and compare functions.
  • CCSS HSF.IF.C
    Analyze functions using different representations.
  • CCSS HSF.LE.A
    Construct and compare linear, quadratic, and exponential models and solve problems.

Shout Outs

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Comments 4

  1. Michael, I really like this idea for reviewing linear concepts. Rather than using it in my “linear unit” I think I’ll use it before we start comparing and contrasting different families of functions. I’ll do a couple of the linear match my graphs and a couple of the quadratic ones. I’m betting it would work well for exponential too.

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  3. I might be predicting the future, but are you making this into a series of steps using activity builder so you can watch the students progress?

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