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[object Object],Preliminary General Mathematics Topic 1 Algebra
Welcome ,[object Object],[object Object],[object Object],[object Object]
Welcome ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Technology stuff... ,[object Object],[object Object],[object Object]
phones, ipods etc ,[object Object],[object Object],[object Object]
Pre Test ,[object Object],[object Object],[object Object]
FLOWERBEDS Here are four flowerbeds surrounded by slabs How many slabs would you need for 100 flowerbeds?
STRATEGY ,[object Object],[object Object],[object Object],[object Object],[object Object]
You can work in groups of up to 2! :) your solution needs to be written up with a full explanation
Break the problem into smaller pieces 1   Flowerbed has  6   slabs Draw the diagrams for 3 and 4 flowerbeds 2   Flowerbeds have  10   slabs
Tabulate results 14 18 Flowerbeds Slabs 1 6 2 10 3 4
Look for patterns… 14 18 +4 +4 +4 … and why they occur Flowerbeds Slabs 1 6 2 10 3 4
… and why they occur 6 +4 +4 +4 + 3 lots of  4
Find a formula   Flowerbeds Working out Slabs 1 6 + 0x4 6 2 6 + 1x4 10 3 6 + 2x4 14 4 6 + 3x4 18
6 + 4x4 6 + 9x4 6 + (n-1)x4 22 42 6+4(n-1) Flowerbeds Working out Slabs 1 6 + 0x4 6 2 6 + 1x4 10 3 6 + 2x4 14 5 10 n
Solve the problem 100 flowerbeds?
[object Object],[object Object],[object Object],[object Object],[object Object],Homework

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Topic 1 algebra lesson 1

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  • 7. FLOWERBEDS Here are four flowerbeds surrounded by slabs How many slabs would you need for 100 flowerbeds?
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  • 9. You can work in groups of up to 2! :) your solution needs to be written up with a full explanation
  • 10. Break the problem into smaller pieces 1 Flowerbed has 6 slabs Draw the diagrams for 3 and 4 flowerbeds 2 Flowerbeds have 10 slabs
  • 11. Tabulate results 14 18 Flowerbeds Slabs 1 6 2 10 3 4
  • 12. Look for patterns… 14 18 +4 +4 +4 … and why they occur Flowerbeds Slabs 1 6 2 10 3 4
  • 13. … and why they occur 6 +4 +4 +4 + 3 lots of 4
  • 14. Find a formula Flowerbeds Working out Slabs 1 6 + 0x4 6 2 6 + 1x4 10 3 6 + 2x4 14 4 6 + 3x4 18
  • 15. 6 + 4x4 6 + 9x4 6 + (n-1)x4 22 42 6+4(n-1) Flowerbeds Working out Slabs 1 6 + 0x4 6 2 6 + 1x4 10 3 6 + 2x4 14 5 10 n
  • 16. Solve the problem 100 flowerbeds?
  • 17.

Editor's Notes

  1. Talk about what Moodle and Facebook groups will be used for No friends on Facebook!
  2. Discuss what good manners means!
  3. Discuss what good manners means!
  4. Each person must submit a solution.
  5. Give three minutes for this
  6. Ask for pupils to give their results
  7. Give pupils three minutes to do this. Ask for their responses.
  8. Give pupils a minute to work this out.