1. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Proportion Proportion www.mathsrevision.com Direct Proportion Graph of Direct Proportion Proportional Division Proportion per item

2. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 9 6 8

3. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are learning to calculate proportional division by using shares. 1. Be able to find total shares. Proportion Proportion Proportional Division 2. Find fractional share. 3. Solve problems using appropriate working.

4. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Example : Jack and Victor share a raffle win of £500 in the ratio 2:3. How much does each get ? Proportional Division Total number of shares :2 + 3 = 5 shares No. of shares £ 5 → 500 2 → Jack Are we expecting more or less 7-Dec-15 Make smaller fraction

5. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Proportional Division No. of shares £ 5 → 500 3 → Victor Are we expecting more or less 7-Dec-15 £200 + £300 = £500Check : Make smaller fraction

6. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Ex : Ryan, Ross and Ben share 24 cakes in the ratio 1 : 2 : 3. How many cakes does each get ? Proportional Division Total number of shares :3 + 1 = 4 shares No. of shares Cakes 6 → 24 1 → Ryan Are we expecting more or less 7-Dec-15 Make smaller fraction

7. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Proportional Division No. of sharesCakes 6 → 24 2 → Ross Are we expecting more or less 7-Dec-15 18 + 6 = 24Check : Make smaller fraction

8. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Proportional Division No. of sharesCakes 6 → 24 3 → Ben Are we expecting more or less 7-Dec-15 4 + 8 + 12 = 24Check : Make smaller fraction

9. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 1 Ch10 (page 96) www.mathsrevision.com Proportion Are you on Target ? I can ?

10. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

11. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1 We are learning the value of one item using proportion. 1.Understand the term per item. Proportion Proportion 2. Solve simple proportional problems. Proportion

12. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Example :The cost of 5 chocolate bars is £8.00. Find the cost of one. If you know the total cost of several items, you can easily find the cost per item ( cost for 1 ). Proportion No. of Bars £ 5 → 8.00 1 → Per item Are we expecting more or less Make smaller fraction

13. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 2 Orally Ch10 (page 98) www.mathsrevision.com Proportion

14. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

15. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are learning the term Direct Proportion. 1. Understand the idea of Direct Proportion. Proportion Proportion 2. Solve simple proportional problems. Direct Proportion

16. MNU 3-08a Example :The cost of 6 cakes is £4.20. Find the cost of 5 cakes. 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion “.. When you double the number of cakes you double the cost.” Two quantities, (for example, number of cakes and total cost) are said to be in DIRECT PROPORTION, if : Direct Proportion 7-Dec-15 No. of cakes £ 6 → 4.20 5 → Are we expecting more or less Make smaller fraction

17. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Direct Proportion Example : On holiday I exchanged £30 for $45. How many $ will I get for £50. £ $ 30 → 45 50 → Are we expecting more or less Make bigger fraction

18. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Direct Proportion Example : 300 pencils cost £6. How much will 200 cost. Pencil £ 300 → 6 200 → Are we expecting more or less Make smaller fraction

19. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 3 Ch10 (page 99) www.mathsrevision.com Proportion Are you on Target ? I can ?

20. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

21. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are learning about Direct Proportion Graphs. 1. Understand that Direct Proportion Graph is a straight line. Proportion Proportion 2. Construct Direct Proportion Graphs. Direct Proportion Graphs

22. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion The table below shows the cost of packets of “Pencilss”. Direct Proportion Graphs We can construct a graph to represent this data. What type of graph do we expect ?

23. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Direct Proportion Graphs Notice that the points lie on a straight line passing through the origin This is true for any two quantities which are in Direct Proportion.

24. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Direct Proportion Graphs KeyPoint Two quantities which are in DIRECT PROPORTION always lie on a straight line passing through the origin.

25. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Example : Plot the points in the table below. Are they in direct proportion? Direct Proportion Graphs We plot the points (1,3), (2,6), (3,19), (4,12)x1234y36912 Linear Patterns ! Can you find a formula connecting y and x

26. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. 1 www.mathsrevision.com Proportion Proportion Plotting the points (1,3), (2,6), (3,9), (4,12) Direct Proportion Graphs 01234 10 11 12 2 3 4 5 6 7 8 9 Since we have a straight line passing through the origin x and y are in direct proportion. x y

27. MNU 3-08a 7-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 4 Ch10 (page 101) www.mathsrevision.com Proportion Direct Proportion Graphs Have you updated your Learning Log ? Are you on Target ? I can ?