Lesson Plan –Area, Perimeter and Volume APP

1. Lesson Plan –Area, Perimeter and Volume APP

4. LO To design a feature flower bed and calculate the cost of the build RAG Formula, volume, area, perimeter, prism 4-Oct-14 Starter Activity Complete the never heard the word grid

6. 8cm 4cm 80cm2 What’s my Area? What are my dimensions?

7. 5cm 30cm2 6cm What’s my Area? What are my dimensions?

8. 5cm 100cm2 3cm 6cm What’s my Area? What are my dimensions?

9. 4cm What’s my Area? What are my dimensions? 78.5cm2

10. LO To design a feature flower bed and calculate the cost of the build RAG Formula, volume, area, perimeter, prism 4-Oct-14 • Learning Objectives :- • To produce a scale drawing • To calculate perimeter, area and volume. • To substitute values into a formula.

11. You will know that you have achieved this when ..... • You have produced a scale drawing of your flower bed • You have calculated the length of the wall • You have calculated the amount of soil needed to fill the flower bed • You have calculated the total cost. • Level 4 / 5 A Rectangular Design • Level 6c A Triangular Design • Level 6b/6a A Kite or Parallelogram • Level 7 A Semi Circle or Trapezium

12. The Task You work as part of a landscape gardening company. A client has approached you to design and give a quote for a raised flower bed. They have a few stipulations which you need to follow. In your pairs you need to come up with two designs and give a quote for the cost of materials for each one.

13. The Client’s Stipulations • The flower bed must have an area of 24m2, but it can be any shape. • The raised bed needs to be surrounded by a brick wall. • It needs to have a depth of 50cm (0.5m) and be filled with soil.

14. What You Need To Do: • Come up with two designs for the raised flower bed that are different shapes. Draw a scale diagram of each design with dimensions shown. • Calculate the length of wall that will be required to go around the garden. • Using the information on your information sheet calculate the cost of the wall. • Calculate the volume of your raised flower beds. • Give a quote for the cost of soil. • Present your two designs with final quotes for each design on a poster that could be presented to the client. They are picky customers and will want to see the calculations made. • The Client’s Stipulations: • The flower bed must have an area of 24m2. • The raised bed needs to be surrounded by a brick wall. • It needs to have a depth of 50cm (0.5m) and be filled with soil. It costs £20 per metre for a 50cm high wall. Soil costs £40 per cubic metre.

15. Extension task. Use one of these flower bed designs 24cm2 24cm2 24cm2

16. Today’s Task Chose a shape for your flower bed which will have an area of 24m2 Draw a scale drawing of your flowerbed, showing all measurements. Calculate the length of the wall of your flowerbed by finding the perimeter. Work out the cost of your wall. Calculate the amount of soil needed by finding the volume of your flowerbed. Work out the cost of your soil. Work out the total cost for the wall and the soil. Do the same for a different shaped flowerbed..

17. Your will assess each others work on: • The presentation of their ideas and designs. • The presentation of their calculations and results. • The accuracy of their calculations.

18. Our Rectangle Design Steps 5 & 6 - The Soil The volume of our garden: V = area x depth = 24 x 0.5 = 12m3 Cost = 12 x 40 = £480 Steps1 & 2 – The design Area A = 3 x 8 = 24m2 Steps 7 - Total Cost Wall £440 Soil £480 TOTAL £920 Steps3 & 4 - The Wall The perimeter of my design: P = 2 x 3 + 2 x 8 = 22m Cost = 20 x 22 = £440 Our first design is a rectangle shaped raised garden. The final cost will be £920.

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