Equations of Circles SPORT
Part I: Explore
Move the center of the circle around as well as the radius and notice how it affects the equation. Create four different circles in the applets below. Then, find the radius length and the center of each circle.
Example 1
What is the center of the circle?
Example 1
What is the radius of the circle?
Example 2
What is the center of the circle?
Example 2
What is the radius of the circle?
Example 3
What is the center of the circle?
Example 3
What is the radius of the circle?
Example 4
What is the center of the circle?
Example 4
What is the radius of the circle?
Part II: Patterns & Observations
Look at your examples in part I and take note of any observations you notice about the equations of circles applet. Write your observations in the space below to share with the class. Your answer should be 2-3 complete sentences. Be specific and write enough so that any other person would be able to understand the relationships and patterns you observed from your description. Share your patterns with the class in this
https://jamboard.google.com/d/1jTp3egG9M2EQ5U1XMAWP3Y0aOyUxh2MKs_FY7Swxgaw/edit?usp=sharing
What patterns did you notice?
Look over the observations other students noticed. Write any additional observations in the space below:
Part III: Rule
Use your explanation in part II to write a rule that can be used to solve problems. Write your rule in the jamboard below to share with the class.
[https://jamboard.google.com/d/1dmanNql86rcna8_W8lKMu-VCx5Sw4rnMtsHTJMv9LM4/edit?usp=sharing]
What observations did you notice?
Discuss your rule with the class. In the space below, write a revised rule:
Part IV: Test & Check
Create your own circles
You will create your own circle using a center and radius that you choose. What will be the center of your circle?
What will be the radius of your circle?