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Explore the Effect of a, p and q on a Quadratic Function

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Explore the Effect of a, p and q on a Quadratic Function
Explore the Effect of a, p and q on a Quadratic Function
Explore the Effect of a, p and q on a Quadratic Function
Explore the Effect of a, p and q on a Quadratic Function
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1.05 MB   |   15 pages

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Note: This is the first time I've zipped a file. Please let me know if there are any issues!

Using the two applets included, students explore the effects of a, p and q on a Quadratic Function, y=a(x-p)^2+1. Both standard and vertex form are displayed on both applets. The focus is on the vertex, domain and range, direction of opening, and axis of symmetry.

As they are guided through the activity, they create and test their own hypotheses.

Included in the full paid version:
*Word and PDF files
*Geogebra Applets
1) Effect of a
2) Effect of p and q
*Student Activity sheets
1) Effect of a
2) Effect of p and q
*Basic Teacher Instructions
*Teacher Recording Sheet for Assessment for Learning

I created the two applets using Geogebra, a free software program that you can download or run off the geogebra website. Instructions for using with the website are included in the teacher instructions.

Although these have been used in the classroom, feel free to email me with suggestions for improvement. Any changes I make as a result will be uploaded and resent out to all buyers.

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This activity matches to Alberta math curriculum:

20-1:
Relations and Functions 3 - Analyze quadratic functions of the form y=a(x-p)^2+q and determine the vertex, domain and range, direction of opening, axis of symmetry, x and y intercepts

Relations and Functions 4 - Analyze quadratic functions of the form y=ax^2+bx+c to identify characteristics of the corresponding graph, including the vertex, domain and range, direction of opening, axis of symmetry, x and y intercepts

20-2:
Relations and Functions 1 - Demosntrate an understanding of the characteristics of quadratic functions, including vertex, intercepts, domain and range, axis of symmetry
Total Pages
15
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Not Included
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Explore the Effect of a, p and q on a Quadratic Function
Explore the Effect of a, p and q on a Quadratic Function
Explore the Effect of a, p and q on a Quadratic Function
Explore the Effect of a, p and q on a Quadratic Function