1. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Percentages Revision of Level 2 Appreciation / Depreciation www.mathsrevision.com Expressing “A” as a percentage of “B” Finding Initial Value after increase or decrease

2. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com Q1.34.5 + 0.6 + 5 Q3. Q2.Tidy-up the expression Q4.

3. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. Review of Level 2 work using Mind Map. Percentages Revision of Level 2 3.Find percentage values. 1.Convert percentages to fractions and decimals. 2.Change fraction to percentages.

4. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Put over 100 3 7 Percentages Revision of Level 2

5. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Percentages Revision of Level 2 What simple % is missing 80% = Example : Find 20% of £450

6. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Find example Step 1 : Convert % to a decimal of means x Step 3 : Do sum Calculator Keys 5 1 x 3 = 150 0 0 0 0 0 Step 2 : How to find % of a quantity using a calculator

7. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Find example Step 1 : Convert % to a decimal of means x Step 3 : Do sum Calculator Keys 4 1 x 4 = 192 0 0 0 8 0 Step 2 : How to find % of a quantity using a calculator

8. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 1 Ch19 (page 92) www.mathsrevision.com Percentages Revision of Level 2

9. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 6cm 5cm

10. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the terms appreciation and depreciation. 1.We are learning the terms appreciation and depreciation. 2.Show appropriate working when solving problems containing appreciation and depreciation. www.mathsrevision.com Calculating Percentages Appreciation & Depreciation

11. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Calculating Percentages Appreciation / Depreciation Appreciation : Going up in value e.g. House value Depreciation : Going down in value e.g. car value Appreciation & Depreciation

12. 10-Aug-15Created by Mr. Lafferty Maths Dept. 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

13. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. 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 www.mathsrevision.com Calculating Percentages Appreciation & Depreciation

14. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. A valuable piece of jewellery appreciated by 10% in the 1 st year and by 20 % in the 2 nd Year. If its initial value was £1 000, what is its value now ? 1 st Year Appreciation = 10% x £ 1 000 = 0.1 x £ 1 000 = £100 New Value= £ 1 000 + £ 100 = £ 1 100 2 nd Year Appreciation = 20% x £ 1 100 = 0.2 x £ 1 100 = £ 220 New Value = £ 1 100 + £ 220 = £ 1320 Calculating Percentages Appreciation & Depreciation www.mathsrevision.com

15. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 2 Ch19 (page 94) www.mathsrevision.com Calculating Percentages Appreciation & Depreciation

16. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 8cm 10cm

17. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To understand how to express “A” as a percentage of “B”. 1.We are learning to express “A” as a percentage of “B”. 2.Solve problems in context Showing appropriate working.. www.mathsrevision.com Calculating Percentages Expressing “A” as a percentage of “B”

18. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. 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? % mark = www.mathsrevision.com A B

19. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. 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 ? % increase = Actual Increase = £22 - £20 = £2 A B www.mathsrevision.com

20. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. 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? % increase = Actual Increase= £50 000 - £40 000 = £10 000 A B www.mathsrevision.com

21. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 3 Ch19 (page 97) www.mathsrevision.com Calculating Percentages Expressing “A” as a percentage of “B”

22. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

23. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.To understand the process of finding the initial value. 1. We are learning to find the initial value after an increase or decrease. Percentages 2.To solve problems using this process with appropriate working. Finding initial value after an increase or decrease

24. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Calculating Percentages Example 1 After a 10% increase the price of a house is £88 000. What was the price before the increase. Finding initial value after an increase or decrease Price before is 100% :£800 x 100 = £80 000 1 % : 100 % + 10 % = £88 000Deduce from question : 110 % = £88 000We have :

25. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Calculating Percentages Example 2 The value of a car depreciated by 15%. It is now valued at £2550. What was it’s original price. Price before is 100% :£30 x 100 = £3 000 1 % : 100 % - 15 % = £2 550Deduce from question : 85 % = £2 550We have : Finding initial value after an increase or decrease

26. Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 4 Ch19 (page 98) www.mathsrevision.com Calculating Percentages Finding initial value after an increase or decrease