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EngageNY
More Problems on Area and Circumference
Perimeter check! Pairs work on finding the areas of semicircles and quarter circles using a relationship with squares. The problems challenge pupils to find areas of composite figures made from rectangles, semicircles, and quarter circles.
Mathematics Vision Project
Module 5: Circles A Geometric Perspective
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...
Curated OER
Discovering Pi/Welcome to Pi Day
Students explore pi. In this circle measurement lesson plan, students define and identify radius, diameter, circumference, and perimeter. Students work in groups to measure several plastic lids and record their findings. Students compare...
EduGAINs
Discovery of Pi
Serve up a slice of math for Pi Day! A combination of fun, hands-on lessons and helpful worksheets encourage learners to practice finding the radius, diameter, and circumference of different circles.
Virginia Department of Education
Arc Length and Area of a Sector
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...
Radford University
Discover Radians!
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...
Penn Museum
Maya Ball
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...
Mrs. Burke's Math Page
Let Them Eat Pi
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...
Curated OER
Rational and Irrational Numbers 2
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...
Curated OER
History and the Approximations of pi
Middle schoolers investigate Pi. In this mathematics lesson, learners discuss the history of Pi and determine how the approximation of Pi was discovered.
Curated OER
How Big is Barbie?
Students measure various dimensions of a male and a female dolls body and scale them proportionally to average human measurements. They calculate the appropriate scale factor (magnitude) to enlarge their doll and apply that scale factor...
Radford University
Catch Me If You Can!
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...
Curated OER
"Sir Cumference and the First Round Table" by Cindy Neuschwander
Middle schoolers study geometric terms related to circles and solve the problem posed in the book.
Pie Council
National π Day
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...
American Heart Association
Pi Day
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...
101 Questions
Car Caravan
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...
EngageNY
The Most Famous Ratio of All
Pupils develop a definition of a circle based upon its radius in the 17th segment of a 28-part series. They determine the relationship between the radius and the diameter of a circle. To round out the lesson, they use the formula for the...
Radford University
How do I Prepare this Piece of Floor Tile to Lay on the Bottom of my Kitchen Sink Cabinet?
How can you place a rectangular tile around a pipe? Scholars first use a model of a kitchen sink cabinet to take measurements. Using a compass and their knowledge of circles, they then cut out a circle from a piece of poster board (which...
Curated OER
Model Air Plane Acrobatics
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...
Mathematics TEKS Toolkit
Grade 6: Exploring c/d = pi
Introduce your math class to the perimeter of a circle. Teach them that pi describes the relationship between the circumference and the diameter. As a hands-on investigation, pairs or small groups use string to compare these two values...
Illustrative Mathematics
Designs
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...
Curated OER
Search for the Missing Pi
Third graders work in groups of two to three with measuring tapes, finding the circumference and diameter of teacher-selected circular items. They relate circumference and diameter measurements to find pi.
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...
Curated OER
Geometry in Nature
Learners examine how the circumference, diameter, and the relationship of Pi of a circle are related. They count the summer rings of a tree to determine its growth.