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THIS IS WORTH 100 BRAINLY POINTS!!! SOMEONE PLEASE HELP ME AND YOU SHALL BE REWARDED. BTW YOU NEED THE THINGS THAT ARE IN THE MATERIALS SECTION AND PLEASE DO IT ALL CORRECTLY AND FOLLOW DIRECTIONS! THANK YOU!
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For this project, you are going to demonstrate your understanding of conic sections. You will be given three equations. Examine the equations to determine what conic section each equation represents, then create a three-dimensional object (shape) made of Play-Doh that represents each equation. See the image below for an example of how your three-dimensional objects might look.

Please read the instructions and steps in each task carefully. This project requires the materials listed below.

Materials:

Play-Doh (any color, any size) to mold cones. It does not need to be new. You can also use alternative materials such as home-made Play-Doh or kneaded dough.
Two feet of string or dental floss to slice cones.

NOTE:
The amount of Play-Doh you need depends on your preference. If you can work comfortably handling small objects, then you can have a smaller amount. If you prefer working with bigger objects, then use more Play-Doh.
The string can be any kind of string, but it needs to be thin and strong enough to cut through the PlayDoh cones.

Equations:
x^2+y^2=25
x=2y^2+1
y^2/9+x^2/4=1

Task 1: Examine Equations

Examine the equations given above.
Recall the traits and attributes of the conic sections you’ve learned in this course.
What conic sections are they representing?
Task 2: Create

Using the Play-Doh, mold 2-3 cone shapes. The cones need to be large enough to be workable for you. (Do not worry about being precise with the numbers within the equation. You should focus on creating the correct shape from the slice).
Use the string to slice the cone to make the conic section you think the equation represents.
Tips: Wrap the ends of the string around your palms, and stretch the string tightly with both hands. Use thumbs to press the string down to cut through the cone.
If the Play-Doh cone is too soft to slice, you may want to leave it out for a while to harden.
Make sure to remember which sliced cone represents which equation.
For help on how/where to slice the cones, view this image of the 3D cones with cut lines.
Repeat Step 1 and Step 2 to create one Play-Doh conic section for each equation.
Take a photo of each section. You should have at least 3 photos in total.
Task 3: Share and Explain

Create your thread by explaining why you think the Play-Doh shape represents the equation. Make points in regard to:
Equation
Vertex (vertices)
Axis of Symmetry
Direction
Share your experience creating the Play-Doh conic section:
How challenging or easy was it to slice the cone to get the shape you wanted?
To match the equation?
How did the equation help you to determine the shape?
Attach all of your images to your post. It might be useful to insert your images into a single document and attach the document instead.

Sagot :

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