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Lesson Plan – Lesson 7 Volume

Lesson Plan – Lesson 7 Volume. 2-Jan-20. In your groups discuss what the word Volume means and then calculate the volume of the 3D shapes below. Today we are learning. I am starting the lesson on level _____________________.

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Lesson Plan – Lesson 7 Volume

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  1. Lesson Plan – Lesson 7 Volume

  2. 2-Jan-20 In your groups discuss what the word Volume means and then calculate the volume of the 3D shapes below.

  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. This is made out of multi-link cubes. What is its volume?

  5. We can work this out by dividing the cuboid into layers.

  6. 4cm 2cm 8cm How many cubes in a layer? How many layers? What is the volume? (How many cubes altogether?)

  7. 5cm What is the area of a layer? (How many cubes in a layer?) How many layers? What is the volume? (How many cubes altogether?) 3cm 10cm

  8. 2cm What is the area of a layer. (How many cubes in a layer?) How many layers? What is the volume? (How many cubes altogether?) 2cm 7cm

  9. 4cm 2cm 5cm What is the area of a layer? How many layers? What is the volume? (How many cubes altogether?)

  10. Height Width Length How would you work out the volume?

  11. A prism is a 3-D shape that has a constant cross-section along its length. For example, this hexagonal prism has the same hexagonal cross-section throughout its length. Prisms This is called a hexagonal prism because its cross-section is a hexagon.

  12. Volume of a prism l h A A The volume of a prism is found by multiplying the area of its cross-section by its length or height.

  13. Volume of a prism What is the volume of this triangular prism? 7.2 cm 4 cm 5 cm Area of cross-section = ½ × 5 × 4 = 10 cm2 Volume of prism = 10 × 7.2 = 72 cm3

  14. Volume of a Cylinder r h A cylinder is a special type of prism with a circular cross-section. Volume = area of circular base × height

  15. Maths – Learning Outcomes Level 4 - To calculate the volume of a cube by building the cube and counting the cubes. Level 5 - To calculate the volume of cubes. Level 6 - To calculate the volume of cuboids. Level 7 - To calculate the volume of prisms and cylinders.

  16. We will be using these Habits of Mind • I can work well in a group, listening attentively and taking on different roles when needed. • I can negotiate and follow ground rules, to ensure fairness and cooperation when working with others.

  17. Today’s Task In your groups Each member of the group should select a 3D shape to work on and cut it out. Find the volume of each 3D shape by first working out the area of the cross section. 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.

  18. Cube Cuboids 12cm Find the volume of the 3D shapes. Triangular Prism 3 8cm 10cm 12cm Cylinder 3cm 4cm 2m 6cm Trapezium 12m 5m 5m 8cm 4cm 2m 3m 7m 4.5m 2cm

  19. Probing Question If you know the height and volume of a prism what else do you know? What don’t you know?

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