# Match My Parabola

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

### Lesson Notes

Several weeks ago I shared a series of linear graphing challenges. The results in my classes (even my “advanced” classes) were wonderful. What follows below is a set of 10 “Match My Parabola” challenges.

Collectively, the goal is to develop student proficiency with graphing quadratic functions in vertex form, factored form, and standard form. While sliders are appropriate (especially in the early going), students will develop a stronger and deeper connections between the numerical, graphical, and algebraic representations if they enter the functions without sliders.

Here’s a recap of three options for implementing this style of challenge:

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

Again, 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 10 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 Parabola #1

https://www.desmos.com/calculator/m083poazwx

### Match My Parabola #2

https://www.desmos.com/calculator/cyh2dlekyr

### Match My Parabola #3

https://www.desmos.com/calculator/c93eqhfqwk

### Match My Parabola #4

https://www.desmos.com/calculator/ehdogua8de

### Match My Parabola #5

https://www.desmos.com/calculator/nqz3afgbe5

### Match My Parabola #6

https://www.desmos.com/calculator/kfjvxj70ze

### Match My Parabola #7

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

### Match My Parabola #8

https://www.desmos.com/calculator/lhubev4agm

### Match My Parabola #9

https://www.desmos.com/calculator/e9kvhjcttk

### Match My Parabola #10

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

### Extensions

1. Create your own “Match My Parabola” challenge (related to vertex form).
2. Create your own “Match My Parabola” challenge (related to factored form).
3. Create your own “Match My Parabola” challenge (related to standard form).

### Standards

• 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.