Worksheet
Curated OER

A Different Proof of the Law of Cosines

For Students 9th - 12th
In this proofs worksheet, students construct 1 proof of the law of cosines.  Students construct a right triangle within a circle to  prove the law of cosines.
Lesson Plan
EngageNY

Arc Length and Areas of Sectors

For Teachers 9th - 10th Standards
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Plan
Curated OER

Making Models of the Solar System

For Teachers 1st - 5th
Students make several models of the solar system to learn the positions of the planets in the solar system as well as relative distances and sizes. Creation of these models will help them identify the planets by size, shape, color,...
Activity
101 Questions

Rotonda West, FL

For Teachers 9th - 12th Standards
The shortest distance from point A to point B is a straight line—or is it? Young scholars determine the shortest route either along a circular path or through the center of the circle. Learners gain a unique perspective on arc length and...
Assessment
EngageNY

Geometry Module 5: Mid-Module Assessment

For Teachers 9th - 12th Standards
How can you formally assess understanding of circle concepts? Pupils take a mid-module assessment containing five questions, each with multiple parts.
Activity
101 Questions

Car Caravan

For Students 6th - 8th Standards
Keep playing with those old toy cars! Pupils estimate the number of toy cars in an art installation. The only information they receive is a picture showing the toy cars arranged in concentric rings and the diameter of the overall...
Assessment
Curated OER

Expressing Geometric Properties with Equations

For Students 9th - 11th Standards
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 
Worksheet
Curated OER

Spinning in Circles

For Students 9th - 12th
In this secondary mathematics worksheet, students determine the speed at which we travel a circle around the axis of the earth and around the sun.  The one page worksheet contains one problem. A solution is provided. 
Lesson Plan
Curated OER

Volume of a Cylinder

For Teachers 8th - 10th
Middle and high schoolers calculate the volume of cylinders. They measure the height, radius and diameter of cylinders. Following given formulas, students calculate the area and volume of the cylinder. They compare cylinders and predict...
Worksheet
Curated OER

Math Practice: Circles

For Students 4th - 6th
For this circle worksheet, students solve 8 problems: finding percentage increase, finding differences in area and perimeter, finding circumference and area.
Lesson Plan
Curated OER

Square Circles

For Teachers 6th - 7th
Students analyze and demonstrate how a circle can be measured in square units and examine how diameter, circumference and radius are related.
Lesson Plan
Curated OER

Circumference and Area of Circles

For Teachers 5th - 6th
In this math worksheet, students learn to calculate the area and circumference of a circle. Students answer 4 word problems after reading the information and studying the examples.
Worksheet
Curated OER

Circle Terminology

For Students 7th - 12th
In this geometry activity, students identify radii, diameters, chords, tangents, secants and other terminology associated with circles.  The one page activity contains eighteen problems.  Answers are not provided. 
Lesson Plan
Curated OER

Power of a Point

For Teachers 9th - 11th
Students solve problems by finding the radius or diameter. In this geometry lesson, students identify the tangent line of a circle and use properties of circles to find the radius. They relate circles to the real world.
Lesson Plan
Curated OER

"Slice of Pi with Neo-Excel"

For Teachers 6th - 8th
Students explore diameter, radius, and circumference. They define radius, diameter, and circumference on an online dictionary, identify objects in the room with a radius and a diameter, and calculate the radius and diameter of various...
Lesson Plan
Curated OER

Covering and Surrounding

For Teachers 5th - 6th
Students develop techniques for estimating the area of a circle and use ideas about area and perimeter to solve practical problems. For this area and perimeter lesson, students apply the concepts of perimeter and area to the solution of...
Lesson Plan
Curated OER

Tangent Properties

For Teachers 9th - 12th
Students explore properties of tangent lines.  In this properties of tangent lines lesson, students discuss the perpendicular relationship between a tangent line on a circle and the circle's radius.  Students use that...
Worksheet
Curated OER

Circumference and Area

For Students 6th - 8th
In this geometry worksheet, students answer 10 questions regarding, circumference, area, time, calculating the radius if given a diameter, and polygon recognition.
Worksheet
Curated OER

Perimeter and Circumference

For Students 7th - 8th
For this perimeter and circumference worksheet, students observe diagrams and determine their perimeter or circumference. Diagrams include triangles, circles, parallelograms, rectangles, and composite figures. This one-page worksheet...
Lesson Plan
Curated OER

A Slice of Pi

For Teachers 7th - 9th
Math pupils, by viewing a video, discover the history of pi and some of the applications of its uses in the world today. They conduct an experiment by measuring the diameter and circumference of various circular objects to calculate...
Handout
Penn Museum

Penn Museum: China Gallery

For Students 6th - 12th Standards
Invite your learners to take a closer look at the art and mathematical function of dome buildings as designed by the ancient Romans. In the next segment of this attractive activity set, your young historians will then learn about ancient...
Worksheet
Curated OER

Parts of the Circle

For Students 5th - 6th
In this parts of a circle worksheet, students correctly identify labeled parts of circles, choosing from diameter, chord, radius or center. A reference web site is given for additional activities.
Worksheet
Curated OER

Parts of the Circle

For Students 5th - 6th
In this circles worksheet, students complete multiple choice questions, determining whether diameter, radius, chord or center is shown on a circle. A reference web site is given for additional activities.

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