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By: Michelle Lorentzen, Ariana Wanderlingh, Kevin Valenza
This project is an introduction to conic sections. The four conic sections are: circles, parabolas, hyperbolas, and ellipses. This is to show how they are formed by cutting either a single or double cone with a plane.
How I Designed This
How we designed this
For the circle, we started with the cone and the letter "I" and spread it out to look like a plane. For the ellipse, we did the exact same thing, but angled the plane to create an ellipse. For the parabola, start with the cone and a plane where the plane passes through the base of the cone. For the hyperbola, we started with a cone then duplicate the same cone and rotate it 180 degrees and move it up. Then take a plane and cut the double cone to create the hyperbola.
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Overview & Background
By completing this project, students will learn how the four different conic sections are formed by cutting either a cone or a double cone with a plane. They will learn how they are formed: hyperbola is a double cone where circles, parabolas, and ellipses are single cones.
Objectives
Students will learn:
 How to cut a cone with a plane
 What is formed after cutting a cone with a plane
 What the difference between the four conic sections are
Audience
Grade: 10th, 11th, and 12th
Age: 16  18
Skill Level: Geometry & PreCalculus
Subjects
Math and Physics
Students derived the equations of ellipses and hyperbolas given the foci. That from Geometry will lead into conic sections. From seeing these formulas, they will now be able to see where they come from, which is the conic sections. Later on in PreCalculus and Physics, the students will be learning the formulas for all of the conic sections.
Standards
CCSS.MATH.CONTENT.HSG.GPE.A3
Based off the design of the district's PreCalculus curriculum.
Lesson/Activity
Steps:

Explain the four different conic sections

Get with assigned partners

Create an account on tinkercad.com

Create the four conic sections
 Complete the worksheet
Duration
10 minutes  Explaining what conic sections are
20 minutes  Let the students create the conic sections with a partner on Tinkercad
10 minutes  Class Discussion to get ideas on how they created their conic sections
Preparation
Students need to know what circles, parabolas, hyperbolas, and ellipses look like. Students will use Tinkercad to complete the activity.
References
If students are unfamiliar with the conic sections, refer to the link below to further understand each section.
https://www.khanacademy.org/math/precalculus/conicsprecalc
Post research  Create the worksheet
Rubric & Assessment
The students will have to save the link to their conic sections and send us the link. The students will complete a handout based on the activity they just completed. We will grade it on a scale of 1  4, not based off of correctness, but on effort.
Handouts
Name:__
Date:__
Period:_____
Conic Sections

What are the four conic sections?
a.
b.
c.
d. 
How are each of the four sections cut?
a.
b.
c.
d. 
How did you use tinkercad.com to create the four conic sections?
 What did you learn from this activity?