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Quadratic Formula, Factoring Quadratics, & Graphing Quadratic Functions Activity

Rated 5 out of 5, based on 40 reviews
5.0Β (40 ratings)
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Grade Levels
8th - 9th
Resource Type
Standards
Formats Included
  • PDF
Pages
31 pages
$4.00
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Description

This pack includes all the major concepts of working with quadratics in standard form! Engage students as they collaborate and learn about quadratic functions.

At each station, a guide sheet leads students through a new concept. Then, task cards provide practice. You could use the centers as review, or let students teach themselves each concept following the guide sheet.

Answers for task cards are provided.

Here's an overview of each center:

Center 1: Finding the Vertex

Students use the formula for axis of symmetry to find the vertex. They also think about what the vertex means for real world situations.

Center 2: Observations on the Graphing Calculator

Students practice entering equations into a graphing calculator and finding the vertex and intercepts.

Center 3: Finding the Zeros by Factoring

Students use their factoring skills to find the x-intercepts of quadratic functions.

Center 4: Finding Zeros by Completing the Square

Students use the method of completing the square to find the x-intercepts of quadratic functions.

Center 5: Finding Zeros using the Quadratic Formula

Students use the quadratic formula to find the x-intercepts of quadratic functions.

Center 6: Throwing Stuff and Dropping Stuff

Students see how quadratic functions can be used to model items thrown or dropped. They match stories, equations, and graphs.

Center 7: Parent Function

Students see the parent function of quadratics and experiment to see how changing the equation changes the graph.

Center 8: What’s the Difference?

Students find the second difference of quadratic tables of values and use it to distinguish quadratic and linear functions.

Students do not need to proceed through the centers in order. I recommend prepping the centers and then letting groups rotate through each one over a few class periods. (That way you only need to prep one set for each center!)

Each center will take about 20 minutes.

Check out the preview to see more!

Total Pages
31 pages
Answer Key
Included
Teaching Duration
3 days
Last updated Jan 23rd, 2016
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Standards

to see state-specific standards (only available in the US).
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
Solve quadratic equations in one variable.
Use the method of completing the square to transform any quadratic equation in 𝘹 into an equation of the form (𝘹 – 𝘱)Β² = 𝘲 that has the same solutions. Derive the quadratic formula from this form.
Solve quadratic equations by inspection (e.g., for 𝘹² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as 𝘒 Β± 𝘣π˜ͺ for real numbers 𝘒 and 𝘣.

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