Circles
Circles are figures with no line segments and no vertices, which makes them pretty unique. We're explore radius, diameter, circumference and area and the relationship between each of these so it's easy for you to calculate the things you need accurately.
Every time you drill a hole, bounce a ball, ride a roller coaster or drive down the freeway, circles are involved. Astronomers use circles and ellipses to describe the motion of planets, stars, and comets. Engineers use circles in their technical drawings for gears, tires, wheels and showing how holes line up when bolting plates together; circles are used to ensure they have large enough diameter pipe for the water flow; and so much more! Mechanical engineers use circles to calculate the different speed each car tire makes when taking a left turn.
Let's get started!
Math Class Session
These math class lessons will start you out on the right path into our geometry adventure. After watching the math lesson video, continue to practice the concepts using the Geometry Packet, activities, games, projects, word problems... and have fun learning!
Geometry Basics Workbook
We will be using the workbook below for the first four sessions of Geometry to introduce you to the main ideas in geometry. You'll be using one workbook for Sessions #1-4 (download it from Session #1.) You'll also have a small packet to work through that goes into more depth with practice problems. You'll do the workbook pages first, and then dive into the packet.
You will have new workbook pages and a new packet for each session, make sure you complete each one before you move onto the next session. In addition to the content in the workbook, you'll find more videos (below) that cover additional activities, puzzles, and games that you can complete when you've finished the workbook and packets. Let's go!
Geometry Packet: Section 3
This session uses a packet of lessons that we will be working through in place of a regular workbook. We'll be working on different sections of the packet during each session. In addition to the content in the packet, you'll find homework, activities, quizzes, a study guide and a test to complete at the end when you've finished all the content in the entire packet.
Geometry Activity: Introduction to Circles
This fun hands-on activity will have you racing around your house to find circles in the best places! You will need the following items in order to complete this activity:
- piece of string (about 6 feet / 2 meters)
- recording sheet (click button below to download)
You will also need circular objects. Here are a few ideas to get you started:
- dinner plate
- coin
- coffee mug
- lid from food container (circular)
- DVD or CD
- clock (round face)
- frisbee
- hula hoop
Geometry Activity: Circles and Mazes
Let's get lost in a fun maze that will have you circumscribing and calculating areas at top speed!
Geometry Activity: Solve & Color
This is a new set of problems continued from the previous session (the coloring image is the same, but the problems and the riddle are different). Notice how you can identify circles (whole or part of a circle) in different complex shapes!
Geometry Game: Circles BINGO
Practice calculating area, circumference, diameter and radius the fun way - with friends and a game! Get out your calculator and a pencil, and let's go!
Geometry Puzzle: Center the Cork
Using a thin slice of a cork and a glass of liquid water, can you figure out a way that the cork disk will always stay in the center when dropped in? (Hint: It must drop, no placing it by hand.)
Geometry Challenge: Mirror Symmetry Problem
(Solutions are posted in the following session at the very bottom of the page.)
