Smc3 direct - lesson #85 - surface area of prisms & cylinders

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  • Smc3 direct - lesson #85 - surface area of prisms & cylinders

    1. 1. Saxon Math: Course 3Lesson #85 : Surface Area of Prisms & Cylinders
    2. 2. “Do Now”• Read Saxon Math Book pages 568 - 570• Define: (Write the bolded definitions in your own words) 1. Surface Area 2. Lateral Surface Area 3. Cylinder 4. Prism2. Answer the following Questions 1. What is the formula for the lateral surface area of a prism and cylinder? 2. What do you need to add to the lateral surface area to make it the total surface area? 3. How do you find the area of a triangle? 4. How do you find the area of a circle? 5. How do you find the area of a rectangle?
    3. 3. Homework• SMB Lesson 85• Ask Leyonne :) • 1, 2, 4, 7, 8, 16, 20 - 25• Study Surface Area of Prisms & Cylinders
    4. 4. Homework Questions Lesson 111
    5. 5. Homework Questions Lesson 111
    6. 6. Agenda Pre-Reading --- 8 minutes HW Questions --- 8 minutes Expectations --- 3 minutes Worksheet --- 18 minutesS.A. of Prisms & Cylinders --- 20 minutes S.A. of Spheres --- 10 minutes Study Check --- 15 minutes
    7. 7. Class Expectations• Taking Notes • Write Everything that is in RED• Clipboard Checks• Sentence Detention
    8. 8. Worksheet Time• You guys can teach yourselves at this point• If you need help, ask those at your table FIRST• Everyone at each table should be working together• You may sit across from each other
    9. 9. Worksheet Time• Raise your hand and let me know when you finish!
    10. 10. Lesson 85: Surface Area of Prisms & Cylinders• Lesson Objectives: 1. I will be able to calculate the surface areas and lateral surface area of cylinders and prisms
    11. 11. Lesson AgendaLateral Surface Area --- 8 minutes Total Surface Area --- 12 minutes
    12. 12. Lateral Surface Area• Lateral Surface Area - area of the SIDES/ WALLS of a Prism or Cylinder• Lateral surface area is just like stretching the perimeter of the base
    13. 13. Lateral Surface Area• Lateral Surface Area - area of the SIDES/ WALLS of a Prism or Cylinder• Lateral surface area is just like stretching the perimeter of the base
    14. 14. Lateral Surface Area• Lateral Surface Area - area of the SIDES/ WALLS of a Prism or Cylinder• Lateral surface area is just like stretching the perimeter of the base
    15. 15. Lateral Surface Area• Lateral Surface Area - area of the SIDES/ WALLS of a Prism or Cylinder• Lateral surface area is just like stretching the perimeter of the base
    16. 16. Lateral Surface Area• Lateral Surface Area - area of the SIDES/ WALLS of a Prism or Cylinder• Lateral surface area is just like stretching the perimeter of the base
    17. 17. Lateral Surface Area
    18. 18. Lateral Surface Area• Step #1: Identify Base (How do we do this?)
    19. 19. Lateral Surface Area• Step #1: Identify Base (How do we do this?)• Step #2: Find perimeter of Base
    20. 20. Lateral Surface Area• Step #1: Identify Base (How do we do this?)• Step #2: Find perimeter of Base• Step #3: Multiply perimeter of Base by Height
    21. 21. Lateral Surface Area• Step #1: Identify Base (How do we do this?)• Step #2: Find perimeter of Base• Step #3: Multiply perimeter of Base by HeightLSA = (Perimeter of Base) × height
    22. 22. Lateral Surface Area (Example)• Mr. D has a big cylindrical silo in his backyard that is shown below. He wants to paint the walls of his silo red. If his silo has a width of 12 meters, and a height 20 meters. 20 m 12 m
    23. 23. Lateral Surface Area (Example)• Mr. D has a big cylindrical silo in his backyard that is shown below. He wants to paint the walls of his silo red. If his silo has a width of 12 meters, and a height 20 meters. 20 m 12 m
    24. 24. Lateral Surface Area (Group Practice)• Find the lateral surface area of the following shapes 4 ft 4 ft 3 ft 12 ft 8 ft 6 ft 5 ft• Mr. D’s classroom is in the shape of a pentagonal prism. If he wants to paint all the sides except for the front and back of the room. Find the area of the room that he needs to paint. 5 yd 5 yd 3 yd 3 yd 15 yd 12 yd• If one can of paint covers 200 sq. ft. Determine how many cans of paint Mr. D needs.
    25. 25. Lateral Surface Area (Answers)• 104 ft2• 144(pi) ft 2• 420 yd 2• 3 cans of paint
    26. 26. Total Surface Area
    27. 27. Total Surface Area• Step #1: Find Lateral Surface Area (LSA)
    28. 28. Total Surface Area• Step #1: Find Lateral Surface Area (LSA)• Step #2: Find area of bases
    29. 29. Total Surface Area• Step #1: Find Lateral Surface Area (LSA)• Step #2: Find area of bases• Step #3: Add area of bases and LSA
    30. 30. Total Surface Area• Step #1: Find Lateral Surface Area (LSA)• Step #2: Find area of bases• Step #3: Add area of bases and LSATSA = LSA + (Area of Bases)
    31. 31. Total Surface Area• Step #1: Find Lateral Surface Area (LSA)• Step #2: Find area of bases• Step #3: Add area of bases and LSATSA = LSA + (Area of Bases) TSA = LSA + 2B
    32. 32. Total Surface Area (Examples) 8m 6m 8m 10 m 12 m
    33. 33. Total Surface Area (Examples)• Find the Total Surface Area of the following shape 8m 6m 8m 10 m 12 m
    34. 34. Total Surface Area (Examples)• Find the Total Surface Area of the following shape 8m 6m 8m 10 m 12 m• A can of soup has a diameter of 6 cm and a height of 14 cm. What is the total surface area of the can of soup?
    35. 35. Total Surface Area (Group Practice)• SMB p. 570 • a-e
    36. 36. Total Surface Area (Answers)• 345.4 cm2• 288 in 2• 188.4 cm 2• 240 in 2• 3768 ft 2
    37. 37. Surface Area of a Sphere• Same as lateral surface area of a cylinder with the same height and diameter! LSA = (Perimeter of Base) × height 6 mm 3 mm 3 mm
    38. 38. Surface Area of a Sphere• Deriving the formula for Surface Area of a Sphere LSA of Cylinder = π d × height 8 in 4 in
    39. 39. Surface Area of a Sphere 2SA of Sphere = 4π r
    40. 40. Surface Area of a Sphere (Example)• Find the surface area of a sphere with diameter of 4.2 inches• If a tennis ball has a surface area of 48π square inches, what is the radius of the ball?
    41. 41. Group Practice• Find the surface area of a sphere with diameter of 7.5 meters• Mr. D wants to give Mr. Magic a volleyball as a gift. If it takes Mr. D exactly 324 square inches of wrapping paper to cover the volleyball, what is the diameter of the ball?
    42. 42. Group Practice• SMB p. 734 • a-d
    43. 43. Study Check• Lesson #111 - Volume & Surface Area of Spheres

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