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Ratio & Proportion

Ratio & Proportion. Ratio Calculations. Sharing in a Ratio. www.mathsrevision.com. Direct Proportion. Indirect Proportion. Starter Questions. www.mathsrevision.com. Ratio & Proportion. Ratio Calculations. Learning Intention. Success Criteria.

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Ratio & Proportion

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  1. Ratio & Proportion Ratio Calculations Sharing in a Ratio www.mathsrevision.com Direct Proportion Indirect Proportion Created by Mr. Lafferty Maths Dept.

  2. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  3. Ratio & Proportion Ratio Calculations Learning Intention Success Criteria • Apply tabular method to solve problems involving ratios. • 1 We are learning how to do ratio calculations. • 2. Show appropriate working. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  4. girls boys Ratio & Proportion Ratio Calculations Example : The ratio of boys to girls is 4:5. If there are 16 boys, how many girls are there. 4 5 www.mathsrevision.com x 4 x 4 16 20 Created by Mr. Lafferty Maths Dept.

  5. buses cars Ratio & Proportion Ratio Calculations Example : The ratio of cars to buses is 3:7. If there are 49 buses, how many cars are there. 3 7 www.mathsrevision.com x 7 x 7 21 49 Created by Mr. Lafferty Maths Dept.

  6. Ratio & Proportion Now try N5 Lifeskills Ex 1 Ch7 (page 64) www.mathsrevision.com Are you on Target ? I can ? Created by Mr. Lafferty Maths Department

  7. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  8. Ratio & Proportion Proportional Division Learning Intention Success Criteria 1. Solve problems using appropriate layout. • 1. We are learning to calculate proportional division. 2. Show appropriate working. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  9. Ratio & Proportion 2 5 0 Proportional Division Example : Bill and Ben share a raffle win of £400 in the ratio 3:5. How much does each get ? Are we expecting more or less Make smaller fraction Check ! 150 + 250 = 400 Raffles £ www.mathsrevision.com 8 → 400 Bill 3 → Ben £250 Created by Mr. Lafferty Maths Dept.

  10. Ratio & Proportion Proportional Division 6 Example : Ryan and Ross share 24 cakes in the ratio 3:1. How many cakes does each get ? Are we expecting more or less Make smaller fraction Check ! 18 + 6 = 24 Ratio Cakes www.mathsrevision.com 4 → 24 Ryan 3 → Ross 6 Created by Mr. Lafferty Maths Dept.

  11. Ratio & Proportion Now try N5 Lifeskills Ex 2 Ch7 (page 66) www.mathsrevision.com Created by Mr. Lafferty Maths Department

  12. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  13. Ratio & Proportion Direct Proportion Learning Intention Success Criteria 1. Understand the idea of Direct Proportion. • 1. We are learning the term Direct Proportion. 2. Solve simple proportional problems. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  14. Proportion Direct Proportion Two quantities, (for example, number of cakes and total cost) are said to be in DIRECT PROPORTION, if : Are we expecting more or less Make smaller fraction “ .. When you double the number of cakes you double the cost.” Example : The cost of 6 cakes is £4.20. Find the cost of 5 cakes. www.mathsrevision.com No. of cakes £ 6 → 4.20 5 → 5-Jan-20 Created by Mr. Lafferty Maths Dept.

  15. Ratio & Proportion Direct Proportion Example : On holiday I exchanged £30 for $45. How many $ will I get for £50. Are we expecting more or less Make bigger fraction £ $ www.mathsrevision.com 30 → 45 50 → Created by Mr. Lafferty Maths Dept.

  16. Ratio & Proportion Direct Proportion Example : 300 pencils cost £6. How much will 200 cost. Are we expecting more or less Make smaller fraction Pencil £ www.mathsrevision.com 300 → 6 200 → Created by Mr. Lafferty Maths Dept.

  17. Ratio & Proportion Now try N5 Lifeskills Ex 3 Ch7 (page 67) www.mathsrevision.com Created by Mr. Lafferty Maths Department

  18. Starter Questions y x x x x x x x www.mathsrevision.com x Created by Mr. Lafferty Maths Dept.

  19. Ratio & Proportion Inverse Proportion Learning Intention Success Criteria 1. Understand the idea of Inverse Proportion. • 1. We are learning the term Inverse Proportion. 2. Solve simple inverse proportion problems. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  20. Ratio & Proportion Inverse Proportion Inverse proportion is when one quantity doubles and the other halves. The two quantities are said to be INVERSELY PROPORTIONAL or (INDIRECTLY PROPORTIONAL) to each other. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  21. Ratio & Proportion Indirect Proportion Example : If it takes 3 men 8 hours to build a wall. How long will it take 4 men. Are we expecting more or less Make smaller fraction Men Hours www.mathsrevision.com 3 → 8 4 → Created by Mr. Lafferty Maths Dept.

  22. Ratio & Proportion Indirect Proportion Example : It takes 10 workers 12 months to build a house. How long should it take 8 men. Are we expecting more or less Make bigger fraction Workers Months www.mathsrevision.com 10 → 12 8 → Created by Mr. Lafferty Maths Dept.

  23. Have you updated your Learning Log ? Ratio & Proportion Indirect Proportion Now try Lifeskills Ex 4 Ch7 (page 69) www.mathsrevision.com Are you on Target ? I can ? Are you on Target ? I can ? Created by Mr. Lafferty Maths Department

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