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# Quadratic Translations - interactive discovery exercise - Geogebra

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2 MB|12 worksheet pages, 14 answer key pages, printable grid page & 2 Geogebra files
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Quadratic translations (or transformations): After creating hundreds of successful resources over the past twenty plus years of teaching, this is one I'm truly excited about. It is an outstanding resource. With this highly interactive and visual tool, students independently and effectively discover all of the effects of changing the parameters ( "a", "b" "c" and "d" ) in quadratic translations while you facilitate! My son, who had previously covered this material at school and is hard to impress, said, "Wow!"

Most students just accept concepts as a given in math. But, in many cases, the theorems and equations are just an extension of what they already know or have previously studied. So, they are quite capable of discovering them on their own, given some guided instruction.

With Geogebra, the user can explore math concepts with the click of a mouse.

Geogebra, a free program, is quickly and easily downloaded from the internet to both computers and tablets (as an app) and soon to phones as well. Students can work individually in a computer lab or you can use a single computer and projector and work through the exercise as a group. Alternatively, you could use the flipped classroom model and have them complete the exercise at home allowing class time to further develop the ideas presented.

In this exercise, when you move the slider, the quadratic parabola will be dynamically transformed on screen. This allows the student to control the pace of learning and to see the effects of changing each parameter. Through a step-by-step discovery process worksheet, filled with sketching, matching and numerical questions, students uncover the details/ideas behind the translation of any function. This allows them to clearly see and thus better understand this topic.

The graphics in Geogebra are visually appealing and each of the parameters are color coded to help students identify the different values. All very helpful to fully understand and to apply the concepts learned.

Twelve pdf pages of guided exercises along with printable grid pages are included as well as two Geogebra files to provide your students with a complete resource to fully and independently explore this topic.

Please check out the preview to get a more compete description and visual concept of what is included.

For Geogebra exercises in other topics click the title below:

High School Trigonometry Bundle ( 40% savings! )

Trig Transformations
Solving Trigonometric Equations

Pythagorean Theorem
Slope
Trig Ratios - Sine, Cosine & Tangent

Arc Length & Sector Area
Area of Any Triangle ( free ! )
The Unit Circle

Cosine Law
Sine Law
Ambiguous Case of the Sine Law

The Derivative - from First Principles

Total Pages
12 worksheet pages, 14 answer key pages, printable grid page & 2 Geogebra files
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Teaching Duration
4 days
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