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Understanding Circumference and Its Real-World Applications in 8th Grade Math

In this lesson plan, we explore the concept of circumference, its definition as the distance around a circle, and its practical applications. Students engage in timed skill drills and collaborative problem-solving through scenarios, such as walking trails and Ferris wheels. They will learn formulas for calculating circumference using radius and diameter, and will also compare circumference with perimeter. The lesson includes guided practice and homework review, encouraging students to connect mathematical concepts with real-world situations.

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Understanding Circumference and Its Real-World Applications in 8th Grade Math

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  1. Bellwork • What strategy should be used to find a fraction between 7/8 and 9/10?

  2. Daily Activities • TIMED SKILL DRILLS • HOMEWORK REVIEW

  3. Circumference MS Framework Ob j: 4ac 8th Grade Pre-Algebra By: Mrs. Davis

  4. Perimeter What is circumferenceand how is it used in the real world? • Definition: The distance AROUND the outside edge of the CIRCLE. • Relate:

  5. Confident Teen Volunteer Needed!

  6. Math in the Real WorldWalking Trail – Reading Problem Mrs. Davis is trying to tone up! Each morning she “speed walks” one time around circular walking trail. The trail has a diameter of 50 yards. What is the distance 1 time around the trail?

  7. Math in the Real WorldFerris Wheel – Reading Problem The DCMS math teachers took a ride on a Ferris Wheel. The radius of the Ferris Wheel is 38 m. What distance would they travel in one revolution? Who was the biggest CHICKEN??? #Coach Stiles

  8. Math in the Real WorldHorse Lunging Arena – Reading Problem • Lunging is a method used to exercise a horse or to teach him something new without a rider on his back. • A rope is attached to the horse’s harness. The rider then stands in the center of a ring and directs the horse to move in a circular rotation. A jumping horse lunging around an arena 60 feet in diameter travels what distance in 1 rotation?

  9. 3 in 14 m Words you need to know when dealing with circles. Circle Map Radius: Is the distance from the center of the circle to the outer edge. Pi ( ): The number used when working with circles. 3.14 Diameter: Is the distance from one side of the circle to the other. Circles

  10. Finding the Circumference of a Circle. • Circumference is the distance around the outer edge of a circle. • To find the circumference of a circle use the formula: C = ________ 14 m 3 in Radius (r) Diameter (d) radius = ______ C = ____ x ____ x ____ C = ______________ C = ____ x ____ x ____ C = ______________

  11. C = 2 r Guided Practice Mr. Jones is planning on building a circularshaped swimming pool in his backyard. If the radius of the pool is 15 ft, what is the distance around the outer edgeof the pool? Circumference Key Words • Outer Edge • Around • Rotation • Revolution C = ____ x ____ x ____ C = ______________

  12. You Try Mrs. Davis is trying to tone up! Each morning she “speed walks” one time around a circular walking trail. The trail has a diameter of 50 yards. What is the distance 1 time around the trail? C = 2 r C = ____ x ____ x ____ C = ______________ Circumference Key Words • Outer Edge • Around • Rotation • Revolution

  13. You Try Mark and Amanda took a ride on a Ferris Wheel. The radius of the Ferris Wheel is 38 m. What distance would you travel in one revolution? C = ____ x ____ x ____ C = ______________ C = 2 r

  14. C = 2 r You Try A jumping horse lunging around an arena 60 feet in diameter travels what distance in 1 rotation? C = ____ x ____ x ____ C = ______________ What key words tell you that we are dealing with circumference?

  15. Pertains to circles. Pertains to polygons. 9 cm Distance around the outer edge of a shape. Perimeter Circumference Calculate by adding the sides together. 9 m 6.5 m 9 m Double-Bubble Map Perimeter Vs. Circumference Calculate using formulas. C = _________ 6.5 m • What is the diameter of a circle? What is the radius? • What is the formula for finding circumference? • What number do we use for ? • How do you find the radius if only the diameter is given?

  16. Closure • What is the BIG CONNECTION between perimeter and circumference?

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