Lesson Plan
Curated OER

The Circumference of a Circle and the Area of the Region it Encloses

For Teachers 6th - 8th Standards
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for...
Activity
Noyce Foundation

Circular Reasoning

For Students K - 12th Standards
Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...
Activity
101 Questions

Best Circle

For Teachers 9th - 12th Standards
Drawing the perfect circle is harder than one would think! What makes a circle a circle and how can you define that with a formula? Young mathematicians devise their own methods of analyzing the imperfections of circle drawings. Using...
Lesson Plan
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Illustrative Mathematics

Eratosthenes and the Circumference of the Earth

For Teachers 9th - 12th Standards
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Lesson Plan
Illustrative Mathematics

Seven Circles III

For Teachers 9th - 11th Standards
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
Lesson Plan
Willow Tree

Perimeter of Common Geometric Figures

For Students 8th - 11th Standards
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
Activity
101 Questions

Penny Circle

For Teachers 7th - 12th Standards
Watch as your classes buy into a rich lesson full of information. A video opener challenges individuals to determine the number of pennies that fit in a circle with a 22-inch diameter. Using lesson materials, scholars collect data and...
Lesson Plan
Curated OER

Measuring the Area of a Circle

For Teachers 6th - 8th Standards
When mathematical errors happen, part of the learning is to figure out how it affects the rest of your calculations. The activity has your mathematicians solving for the area of a circular pipe and taking into consideration any errors...
Lesson Plan
Odell Education

Going the Distance

For Teachers 6th Standards
Estimate the value of one of the most famous irrational numbers. The hands-on instructional activity instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Lesson Plan
EngageNY

Decimal Expansion of Pi

For Students 8th Standards
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges. 
Activity
101 Questions

Suitcase Circle

For Teachers 9th - 12th Standards
Analyze patterns in a circular arrangement. After using a geometric construction to complete a circle, learners use proportional reasoning to make predictions. By determining the length of an arc built from suitcases, they estimate the...
Activity
Illustrative Mathematics

Paper Clip

For Teachers 9th - 11th Standards
With minimal setup and maximum freedom, young geometers are encouraged to think outside the box on a seemingly simple application problem. Though the task seems simple, measuring a given paper clip and finding how many 10 meters can...
Lesson Plan
Illustrative Mathematics

Running Around a Track II

For Teachers 9th - 11th Standards
On your mark, get set, GO! The class sprints toward the conclusions in a race analysis activity. The staggered start of the 400-m foot race is taken apart in detail, and then learners step back and develop some overall race strategy...
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 worksheet set, your young historians will then learn about...
Handout
Penn Museum

Maya Ball

For Students 5th - 8th Standards
Sure the ancient Mayan civilization had an advanced calendar and mathematical system, but did you know that they also played a great team sport like basketball? Invite your learners to discover the great ballcourt at Chichen Itza and...
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...
Activity
101 Questions

Apple Mothership

For Teachers 9th - 12th Standards
Explore Apple's spaceship office building. Built in the shape of a circle, the office building offers a unique floor plan challenge. Young scholars use the dimensions of the building to estimate the square footage for each employee. 
Unit Plan
Mathematics Vision Project

Module 5: Modeling with Geometry

For Students 9th - 12th Standards
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
Assessment
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CCSS Math Activities

Smarter Balanced Sample Items: 7th Grade Math – Target F

For Teachers 7th Standards
Sometimes it's how you ask the question that counts. The sixth installment of nine from the Smarter Balanced Claim 1 Slideshow series presents a set of 13 questions to assess understanding of angle relationships as well as area and...
Activity
101 Questions

Wedding Cake Ribbon

For Students 3rd - 8th Standards
Customers often want ribbon around fancy cakes, but how does a baker know how much ribbon to buy? Scholars view a cake with multiple layers in different geometric shapes. They must figure the perimeter and circumference and add them...
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...
Lesson Plan
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Illustrative Mathematics

Running Around a Track I

For Teachers 7th - 11th Standards
The accuracy required by the design and measurement of an Olympic running track will surprise track stars and couch potatoes alike. Given a short introduction, the class then scaffolds into a detailed analysis of the exact nature of the...

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