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Lesson Plan – Lesson 6 Surface Area

Lesson Plan – Lesson 6 Surface Area. Starter Activity How many vertices, edges and faces?. 5-Sep-14. Can you name any of these solids?. Today we are learning. I am starting the lesson on level _____________________. By the end of this lesson I want to be able to _____________________.

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Lesson Plan – Lesson 6 Surface Area

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  1. Lesson Plan – Lesson 6 Surface Area

  2. Starter ActivityHow many vertices, edges and faces? 5-Sep-14 Can you name any of these solids?

  3. Today we are learning I am starting the lesson on level _____________________ By the end of this lesson I want to be able to _____________________

  4. Starter ActivityHow many vertices, edges and faces?

  5. Starter ActivityHow many vertices, edges and faces?

  6. Surface area of a cube Therefore, 4 Surface area of a cube = 16 x 6 = 96cm2 How can we find the surface area of a cube of length 4cm? All six faces of a cube have the same area. The area of each face is 4 × 4 = 16

  7. Surface area of a cuboid To find the surfacearea of a cuboid, we calculate the total area of all of the faces. A cuboid has 6 faces. The top and the bottom of the cuboid have the same area.

  8. The sides of the cuboid have the same area.

  9. The front and the back of the cuboid have the same area.

  10. 4 8 2 × (8 × 4) Top and bottom Front and back + 2 × (6 × 8) 6 + 2 × (6 × 4) Left and right side Surface area of a cuboid = Surface area of a cuboid = (2×32) + (2×48) + (2×24)

  11. Working out surface are from nets. Here is the net of a triangular based pyramid (tetrahedron.) What is its surface area? Area of each face = ½bh = ½ × 6 × 5.2 = 15.6 cm2 5.2 cm Surface area = 4 × 15.6 = 62.4 cm2 6 cm

  12. 13 cm 10 cm 12 cm 20 cm Here is the net of a triangular prism. What is its surface area? We can work out the area of each face and write it in the diagram of the net. 260 Then add each area together to get the total surface area 200 60 60 260 = 60 + 60 + 200 + 260 + 260 = 840 cm2

  13. Here is the net of a Surface area of a cylinder To find the surface area find the area of the rectangle and the area of the circles and add them together. 3 ? Circumference 5 The rectangles wraps around the circles so the length of the rectangle is the same as the circumference of the circles.

  14. Today’s Task In your groups Each member of the group should select a 3D shape to work on and cut it out. Write down the number of faces, edges and vertices the shape has. Find the surface area of the shape. Glue the shape onto the group’s A3 paper and write down how you worked it out. The rest of your group must agree with your method.

  15. Cubes Cuboid Triangular Prism 5cm 3 4cm 4cm 10cm Cuboids 6cm Cylinder 3cm 4cm 2m Square Based Pyramid 6cm 12m 30m 5m 5m 30m 2m 3m 4.5m 7m

  16. 6m 2m 3m 12m 4m 10cm 30cm 5cm 6cm 30cm 4cm

  17. Find the surface area of a ........... Work out the area of each face. Your working out will go in here. Your answer in cm2

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