Activity
Science Buddies

Science Buddies: Thinking in (Semi )Circles: The Area of the Arbelos

For Students 9th - 10th
The arbelos is the white-shaded region between the three semicircles in the illustration at right. In this project, you'll prove an interesting method for determining the area of the arbelos.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gmd Area of a Circle

For Teachers 9th - 10th Standards
For this task, students investigate and develop an understanding of the formula for the area of a circle. Aligns with G-GMD.A.1.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.g,rp Measuring the Area of a Circle

For Teachers 7th
In this lesson plan, 7th graders answer word problems to determine the area of a circle.
Unit Plan
Khan Academy

Khan Academy: Praxis Core Math: Circles Lesson

For Students 9th - 10th
A basic review of circles and how to calculate the circumference, radius, diameter, and area. Includes practice questions.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C Mutually Tangent Circles

For Teachers 9th - 10th Standards
Three circles are mutually tangent. Young scholars are asked to find the total area of the circles plus the area inside where they meet. Students will need to know how to calculate the area of a circle, a sector of a circle, and an...
Unit Plan
Cuemath

Cuemath: Segment of a Circle

For Students 9th - 10th
This lesson expands your knowledge about circles by learning about the segment of a circle, which will include its mathematical definition, area of the segment, types of segments in a circle, theorems based on a segment of a circle, and...
Handout
Science Struck

Science Struck: Cross Sectional Area of a Cylinder

For Students 6th - 9th
Presents the formula and an example showing how to find the cross-sectional area of a cylinder. In this case, it is the same as the surface area for the circular faces.
eBook
Mathigon

Mathigon: Geometry: Circle and Pi: Introduction

For Students 9th - 10th Standards
This lesson focuses on the characteristics of a circle including similarity, radius, circumference, and Pi. It provides formulas to determine the area of a circle, calculating Pi, and learning exercises throughout.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Circle Sandwich

For Teachers 8th Standards
Eighth graders are presented with a drawing of a large square inscribed by a circle which is itself inscribed by a second square. They are asked to find the area of the circle outside the smaller square and compare it to the area of the...
Unit Plan
PBS

Pbs: Scale City: Scaling Up Recipes and Circles in the Real World

For Students 6th - 8th
In this video, students visit a small-town festival that features the world's largest stainless steel skillet. In addition to a question about scaling recipes, they also are asked how increasing or decreasing the radius of a circle...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.g the Circumference of a Circle and the Area

For Teachers 7th Standards
In this lesson plan, 7th graders determine the circumference and area of a circle.
Activity
The Math League

The Math League: Area and Perimeter

For Students 9th - 10th Standards
This tutorial provides a brief introduction about what area is, then gives the formulas for area of a square, rectangle, parallelogram, trapezoid, triangle, and circle. Examples of each formula are provided.
Handout
University of St. Andrews (UK)

University of St. Andrews: James Gregory

For Students 9th - 10th
This site, which is provided for by the University of St. Andrews, contains information on the mathematician Gregory and his accomplishments.
Interactive
Calculator Soup

Calculator Soup: Surface Area Calculator

For Students 9th - 10th
Online calculator to calculate the surface area of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere, spherical cap, and triangular prism
Activity
Texas Instruments

Texas Instruments: Exploring Geometric Probability Using Ti Navigator

For Teachers 9th - 10th
In this activity students will contribute a set of random points to a graph of a circle of radius 1 inscribed in a square. They will estimate the area of the circle using geometric probability.
Unit Plan
Sophia Learning

Sophia: Determining Unknown Values Using the Volume of a Cylinder

For Students 9th - 10th
This video lesson demonstrates how to work backward and use the volume of a cylinder to find an unknown value such as the radius or height. Students can check their understanding with an assessment. [4:41]
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.g Eight Circles

For Teachers 7th
In this lesson plan, 7th graders use their knowledge of formulas to determine the area and circumference of a circle.
Handout
Math Open Reference

Math Open Reference: Radius of a Circle

For Students 9th - 10th Standards
Learn about the radius of a circle with this useful reference guide. Provides a detailed definition, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Unit Plan
Cuemath

Cuemath: Cylinder

For Students 9th - 10th
Mini-lesson takes a look at the definition and shape of a cylinder, cylinder formula, cylinder volume, and cylinder surface area. Try your hand at the cylinder surface area calculator and interactive questions for better understanding.
Unit Plan
US Department of Education

National Center for Education Statistics: Create a Graph Tutorial

For Students 3rd - 8th Standards
This tutorial walks students through how to create different types of graphs using the Create a Graph tool available on the website. Covers bar graphs, line graphs, pie charts, area graphs, scatter plots, and dependent and independent...
eBook
Physics Classroom

The Physics Classroom: Kepler's Three Laws

For Students 9th - 10th
The three laws of planetary motion as described by Kepler are stated and elaborated upon. Useful graphics and an easy-to-understand language are used to explain the nature of planetary motion. Both conceptual and mathematical. Includes a...
Interactive
Shodor Education Foundation

Shodor Interactivate: Single Fraction Pointer

For Students 9th - 10th
Determine the value of a given fraction represented as a point on a number line. Then find a fraction whose value is the given fraction using an arrow on the number line as a guide.
Interactive
PBS

Pbs Learning Media: Square Wheeled Tricycle: Radius and Circumference

For Students 6th - 8th
This interactive exercise focuses on working with the radius of various circles to find the circumference and area as well as challenging you to find the distance a square wheel travels around the track.

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