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Percentages

Percentages. Revision of Level 2. Appreciation / Depreciation. Expressing “A” as a percentage of “B”. www.mathsrevision.com. Finding Initial Value after increase or decrease. Starter Questions. Q2. Tidy-up the expression. Q3. Q1. 34.5 + 0.6 + 5. www.mathsrevision.com. Q4. Percentages.

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Percentages

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  1. Percentages Revision of Level 2 Appreciation / Depreciation Expressing “A” as a percentage of “B” www.mathsrevision.com Finding Initial Value after increase or decrease Created by Mr. Lafferty Maths Dept.

  2. Starter Questions Q2. Tidy-up the expression Q3. Q1. 34.5 + 0.6 + 5 www.mathsrevision.com Q4. Created by Mr. Lafferty Maths Dept.

  3. Percentages Revision of Level 2 Learning Intention Success Criteria • 1. Convert percentages to fractions and decimals. • 1. Review of Level 2 work using Mind Map. • 2. Change fraction to percentages. www.mathsrevision.com • 3. Find percentage values. Created by Mr. Lafferty Maths Dept.

  4. 3 7 Percentages Revision of Level 2 Put over 100 Put over 100 www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  5. 80% = What simple % is missing Percentages Revision of Level 2 www.mathsrevision.com Example : Find 20% of £450 Created by Mr. Lafferty Maths Dept.

  6. = 0 1 0 5 0 3 0 0 150 x How to find % of a quantity using a calculator example Find Step 1 : Convert % to a decimal of means x Step 2 : Step 3 : Do sum www.mathsrevision.com Calculator Keys Created by Mr. Lafferty Maths Dept.

  7. = 0 1 0 4 0 4 8 0 192 x How to find % of a quantity using a calculator example Find Step 1 : Convert % to a decimal of means x Step 2 : Step 3 : Do sum www.mathsrevision.com Calculator Keys Created by Mr. Lafferty Maths Dept.

  8. Percentages Revision of Level 2 Now try Exercise 1 Ch19 (page 92) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  9. Starter Questions www.mathsrevision.com 5cm 6cm Created by Mr. Lafferty Maths Dept.

  10. Calculating Percentages Appreciation & Depreciation Learning Intention Success Criteria • Understand the terms appreciation and depreciation. • We are learning the terms appreciation and depreciation. • Show appropriate working • when solving problems containing appreciation and depreciation. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  11. Calculating Percentages Appreciation & Depreciation Appreciation / Depreciation Appreciation : Going up in value e.g. House value www.mathsrevision.com Depreciation : Going down in value e.g. car value Created by Mr. Lafferty Maths Dept.

  12. Average house price in Glasgow has appreciated by 50% over the past 10 years. If you bought the house for £80 000 in 1994 how much would the house be worth now ? Appreciation = 50% x £ 80 000 • = 0.50 x £80 000 = £ 40 000 New value = Old Value + Appreciation = £ 80 000 + £40 000 = £ 120 000 Just working out percentages www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  13. A Mini Cooper cost £15 000 in 2005 At the end 2006 it will have depreciated by 20% What will the mini cooper worth at end 2006? End 2006 Depreciation = 20% x £15 000 = 0.2 x £15 000 = £3 000 New value = Old value - Depreciation = £15 000 - £3000 = £12 000 Calculating Percentages Appreciation & Depreciation www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  14. Calculating Percentages Appreciation & Depreciation A valuable piece of jewellery appreciated by 10% in the 1st year and by 20 % in the 2nd Year. If its initial value was £1 000, what is its value now ? 1st Year Appreciation = 10% x £ 1 000 • = 0.1 x £ 1 000 = £100 New Value = £ 1 000 + £ 100 = £ 1 100 2nd Year Appreciation = 20% x £ 1 100 = 0.2 x £ 1 100 = £ 220 New Value = £ 1 100 + £ 220 = £ 1320 www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  15. Calculating Percentages Appreciation & Depreciation Now try Exercise 2 Ch19 (page 94) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  16. Starter Questions www.mathsrevision.com 10cm 8cm Created by Mr. Lafferty Maths Dept.

  17. Calculating Percentages Expressing “A” as a percentage of “B” Learning Intention Success Criteria • To understand how to express • “A” as a percentage of “B”. • We are learning to express • “A” as a percentage of “B”. www.mathsrevision.com • Solve problems in context • Showing appropriate working.. Created by Mr. Lafferty Maths Dept.

  18. Calculating Percentages Expressing “A” as a percentage of “B” Example 1 : Frances scored 13 out of 20 in a Maths test. What was her percentage score? A % mark = www.mathsrevision.com B Created by Mr. Lafferty Maths Dept.

  19. Calculating Percentages Expressing “A” as a percentage of “B” Example 2 : Daniel was paid £20 per week. He got a wage rise to £22 per week. What was his percentage increase in pay ? A Actual Increase = £22 - £20 = £2 www.mathsrevision.com % increase = B Created by Mr. Lafferty Maths Dept.

  20. Calculating Percentages Expressing “A” as a percentage of “B” Example 3 : A house in Barlanark bought for £40 000 in 2001 was sold last week for £50 000. Calculate the percentage appreciation in value? A Actual Increase = £50 000 - £40 000 = £10 000 www.mathsrevision.com % increase = B Created by Mr. Lafferty Maths Dept.

  21. Calculating Percentages Expressing “A” as a percentage of “B” Now try Exercise 3 Ch19 (page 97) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

  23. Percentages Finding initial value after an increase or decrease Learning Intention Success Criteria • To understand the process of finding the initial value. • 1. We are learning to find the initial value after an increase or decrease. • 2. To solve problems using this process with appropriate working. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  24. Deduce from question : 100 % + 10 % = £88 000 We have : 110 % = £88 000 1 % : Price before is 100% : £800 x 100 = £80 000 Calculating Percentages Finding initial value after an increase or decrease Example 1 After a 10% increase the price of a house is £88 000. What was the price before the increase. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  25. Deduce from question : 100 % - 15 % = £2 550 We have : 85 % = £2 550 1 % : Price before is 100% : £30 x 100 = £3 000 Calculating Percentages Finding initial value after an increase or decrease Example 2 The value of a car depreciated by 15%. It is now valued at £2550. What was it’s original price. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  26. Calculating Percentages Finding initial value after an increase or decrease Now try Exercise 4 Ch19 (page 98) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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