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Lesson Plan
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NASA

It All Comes Full Circle

For Teachers 9th - 12th Standards
How long does it take spacecraft go around the earth? Using the circular orbits of the space shuttle and the International Space Station, groups determine the distance traveled in one revolution, then calculate the distance traveled...
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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...
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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...
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Lesson Plan
Illustrative Mathematics

Stained Glass

For Teachers 7th - 9th Standards
A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...
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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...
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Activity
Mrs. Burke's Math Page

The Amazing Pi Race

For Teachers 7th - 12th Standards
Add a sense of excitement to your math class with this race across the country. Using their knowledge of all things circular, young mathematicians work in pairs answering a series of pi-related word problems as they hop from one city to...
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Unit Plan
Radford University

Catch Me If You Can!

For Teachers 9th - 12th Standards
Crime doesn't pay, but everyone can learn from it. Learners consider different situations involving mischief at a school, such as stink bombs and rockets, and analyze them using mathematics. They must apply trigonometry, quadratic...
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Activity
Pie Council

National π Day

For Teachers 4th - 8th Standards
Learners can enjoy pi with pie! A collection of short activities celebrates pi day with a word search, a maze, and real-world problemsn. Using pi in formulas for area, circumference, and volume as well as exploring simple fractions is...
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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...
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Performance
Radford University

Discover Radians!

For Teachers 9th - 12th Standards
No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...
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Activity
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Teach Engineering

The Great Gravity Escape

For Teachers 6th - 8th Standards
Groups simulate an orbit using a piece of string and a water balloon. Individuals spin in a circular path and calculate the balloon's velocity when the clothes pin can no longer hold onto the balloon.
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Lesson Plan
National Wildlife Federation

What is DBH?

For Teachers 9th - 12th Standards
When measuring the circumference of a tree, does it matter how high you place the measuring tape? Most scholars have never considered this question, but scientists know that measurement techniques must be standardized. The 13th lesson in...
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Lesson Plan
Illustrative Mathematics

Designs

For Teachers 6th - 8th Standards
A resource that makes for excellent group work as students explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group members...
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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...
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Activity
American Heart Association

Pi Day

For Teachers 5th - 8th Standards
Did you know a mathematician's favorite dessert is a fruit "pi"? By participating in a fruit cutting activity, young mathematicians realize one constant—the ratio of a circle's circumference to its diameter is always pi. It is a perfect...
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Lesson Plan
Curated OER

Tree Measurement

For Teachers 4th - 6th
Measure a tree? Yes, measure a tree! Students get outside and measure a tree's trunk, crown, and height. Each group compares their answers to determine if any re-measuring is necessary. Once back in the classroom, students make bar...
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Activity
Mrs. Burke's Math Page

Let Them Eat Pi

For Teachers 7th - 12th Standards
Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...
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Lesson Plan
Curated OER

Rational and Irrational Numbers 2

For Teachers 9th - 12th Standards
Is the circumference of a circle always, sometimes, or never rational? Learners answer questions individually and also work in groups to look at sums and products of rational and irrational numbers. They must also be able to use the...
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Lesson Plan
Curated OER

Model Air Plane Acrobatics

For Teachers 9th - 12th Standards
Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...
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Lesson Plan
TOPS Learning Systems

PI in the SKY

For Teachers 5th - 12th Standards
What is pi anyway?  After this set of activities, your pupils should have multiple answers to this question. Investigate pi with various experiments and discoveries. Calculate the ratio circumference/diameter for different sized circles....
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Lesson Plan
Virginia Department of Education

Arc Length and Area of a Sector

For Teachers 9th - 11th Standards
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
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Printables
Curated OER

Worksheet for Pi

For Students 6th - 8th
Who needs a pie-eating contest when you have a pi-ology game! Celebrate March 14th with a fun board game about pi and other geometric concepts. As learners answer questions about geometry, they move around the board to collect tokens.  
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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...
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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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