Analyzing and Modeling Quadratic Functions

Analyzing and Modeling Quadratic Functions

Sort Your Cards!

You will have 3 minutes to group together any cards that represent the same function.

03:15

Justify Your Strategies

Pick one group of cards you matched together and think of an explanation on how you know that the cards are equivalent. Use specific vocabulary such as y-intercept, x-intercepts or zeros, roots, vertex, and maximum or minimum.

00:45

Talk to a Peer

Turn to a nearby partner and compare how you sorted your cards. Explain the strategies you used to decide if cards were equivalent, and if your cards are grouped differently than your partner, discuss why.

01:30

Sharing Strategies

Now we will have a few of our classmates share the strategies they used to match their cards.

02:00

Main Takeaways

• A quadratic function can be represented in many ways, with graphs, word problems, tables, and mapping diagrams, and different forms (standard form, vertex form, and factored/intercept form).
• To decide if two representations of a quadratic function match, look for key characteristics such as its y-intercept, x-intercepts, vertex, and maximum or minimum.
• Changing the form of an equation or switching to another representation can make certain characteristics of a function easier to see.
• Explaining how you know two cards are equivalent helps you practice how to justify reasoning and use specific vocabulary.

02:00