Crop Circle Math. (Kagan RallyRobin) TSW find the circumference and area of a real life crop circle.
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1 Course: 7 th Grade Math Student Objective (Obj. 4b) TSW find the circumference and area of circles. DETAIL LESSON PLAN Wednesday, February 8 / Thursday, February 9 Lesson 8-5 Textbook Pages: Homework Perimeter / Area Half Sheet (5 problems) Last Night s Homework Area Worksheet (Berg created, 8 problems) Bellwork Get green quick notes and calculator. Work perimeter/area study guide problem # s 1, 2, 5, 6, 7, 8 Prior Knowledge Review answers to the bellwork. Review last night s homework. Earlier in the week, we learned how to find the Perimeter of the different kinds of shapes. The perimeter is the distance around a figure. We also, learned how to calculate the Area of different shapes: Parallelograms, Trapezoids and Triangles! Does anyone remember a Real Life situation where you would use or see perimeter or area? Wait for student response. Hint. I showed you a PowerPoint called Areas of Disaster. Does that ring a bell? Students will say.. Tornado disaster area, Rope off an area of a crime scene, Oil spill, Hurricane Katrina.. Anticipatory Set Now, there is one more shape we need to talk about Circles! Play X-Files audio. Show Crop Circles PowerPoint. Crop Circles Are they Real or a Hoax? Teacher Input Pass out student notes. Pass out green quick notes (area formula sheets). Define radius, diameter, and pi. Explain how to find the circumference of a circle using a formula. C = Have students work two you-try problems (independently). Explain how to find the area of a circle using a formula. A = Have students work two you-try problems (independently). Classwork: Extra Practice: Crop Circle Math. (Kagan RallyRobin) TSW find the circumference and area of a real life crop circle. FSP Pages 36, 44 (circled only) Students may begin their study guide for test. Assessment Observation and questioning. Major text next class. Closure 1) What formula do you use to find the circumference of a circle? C = d 2) How do you find the circumference of a circle if they give you a radius instead of the diameter? First find the diameter: 2 x r, then C = d 3) What formula do you use to find the area of a circle? A = 4) How do find the area of a circle if you are given the diameter instead of the radius? First find the radius: r = d, then A =
2 Student Notes 8-5 Circles Textbook Pages New Vocabulary Radius Is the distance from the center of the circle to the outer edge. Diameter Is the distance from one side of the circle to the other. Pi Is a number used when working with circles. (Also known as 3.14) The symbol for pi is. Finding the Circumference The distance around a circle is call it s Circumference (C). Pi is a number used when working with circles. Also know as = m 7 m Diameter (d) Radius (r) C = C = Find the diameter: d = C = C = 3.14 x x 14 Finding the Area The Area (A) is the amount of space inside a circle. 8 m 16 m Radius (r) Diameter (d) Find the radius: r = A = A = A = A = 3.14 x 3.14 x
3 Crop Circle Math! Top circle: Bottom circle: Left circle Right circle Center circle 15 ft diameter 17 ft diameter 16 ft diameter 14 ft diameter 64 ft diameter Circumference is the distance around a circle. Find the circumference of each circle below. C = d Top circle Bottom circle Left circle Right circle Center circle C = ft C = ft C = ft C = ft C = ft Area is the amount of space inside the circle. Find the area of each circle below. A = Top circle r = A = Bottom circle r = A = Left circle r = A = Right circle r = A = Center circle r = A =
4 Answer Key Crop Circle Math! Top circle: Bottom circle: Left circle Right circle Center circle 15 ft diameter 17 ft diameter 16 ft diameter 14 ft diameter 64 ft diameter Circumference is the distance around a circle. Find the circumference of each circle below. C = d Top circle C = 47.1 ft 3.14 x 15 Bottom circle C = ft 3.14 x 17 Left circle C = ft 3.14 x 16 Right circle C = ft 3.14 x 14 Center circle C = ft 3.14 x 64 Area is the amount of space inside the circle. Find the area of each circle below. A = Top circle r = 7.5 A = x Bottom circle r = 8.5 A = x Left circle r = 8 A = x Right circle r = 7 A = x Center circle r = 32 A = 3, x
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9 Perimeter / Area 1) What is the perimeter of the following 2) What is the perimeter & area of this shape? regular hexagon? 6 in P = P = A = 3) James is building a circular deck that is 10 ft. in diameter. What is the area of the deck. 23 in 33 in 12 in 4) Jimmy races around a track that is 100 m in diameter. What is the distance he travels in 1 rotation around the track? m Be careful! Does the word around pertain to area or circumference? 5) Find the area of the shaded region of this irregular figure. 3 ft 9 ft Hint: Find the area of the triangle: A = Subtract the area of the rectangle: A = 6.5 ft Area of the shaded region = 14 ft Perimeter / Area 1) What is the perimeter of the following 2) What is the perimeter & area of this shape? regular hexagon? 6 in P = P = A = 3) James is building a circular deck that is 10 ft. in diameter. What is the area of the deck. 23 in 33 in 12 in 4) Jimmy races around a track that is 100 m in diameter. What is the distance he travels in 1 rotation around the track? m Be careful! Does the word around pertain to area or circumference? 5) Find the area of the shaded region of this irregular figure. 3 ft 9 ft Hint: Find the area of the triangle: A = Subtract the area of the rectangle: A = 6.5 ft Area of the shaded region = 14 ft
10 Area Formulas Circles Parallelogram A = b h Circumference C = Rhombus A = b h Area A = Rectangle Square A = b h A = b h Triangle A = b h Trapezoid A = Area Formulas Circles Parallelogram A = b h Circumference C = Rhombus A = b h Area A = Rectangle Square A = b h A = b h Triangle A = b h Trapezoid A =
11 Answer Key Perimeter / Area 1) What is the perimeter of the following 2) What is the perimeter & area of this shape? regular hexagon? P = 82 P = in 33 in 6 in 12 in A = 336 3) James is building a circular deck that is 10 feet in diameter. What is the area of the deck ) Jimmy races around a track that is 100 m in diameter. What is the distance he travels in 1 rotation around the track? 314 m Be careful! Does the word around pertain to area or circumference? 5) Find the area of the shaded region of this irregular figure. Hint: Find the area of the triangle: A = 63 3 ft 6.5 ft 9 ft Subtract the area of the rectangle: A = ft Area of the shaded region = 43.5
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