1. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Percentages www.mathsrevision.com Percentage With and Without a Calculator. Expressing one number as a % of Another Compound Interest Appreciation & Depreciation

2. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

3. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Percentages www.mathsrevision.com Learning Intention Success Criteria 1.Remember the basic percentages. 1.We are reviewing basic percentages. 2.Calculate a basic percentage without a calculator.

4. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Copy down and learn the following basic percentages Simple Percentages

5. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Copy down and learn the following basic percentages Simple Percentages

6. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Q. Find 30% of £40 Percentages

7. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Q. Find 75% of £600 Percentages

8. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Remember money 2 decimal places Find 17% of £450 Percentages of means multiple www.mathsrevision.com With a Calculator

9. N5 Num www.mathsrevision.com 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Remember !! money 2 decimal places Find 4% of £70 Percentages With a Calculator

10. N5 Num 9-Jan-16Created by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex 1 Ch3 (page 27) www.mathsrevision.com Percentages With & Without a Calculator

11. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Percentages www.mathsrevision.com Learning Intention Success Criteria 1.To know how to convert a fraction / decimal to a percentage. 1.We are learning to convert a fraction / decimal to a percentage and use them in context. 2.Be able to compare percentages in context.

12. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Converting a fraction to a percentage Percentages FractionDecimalPercentage Do the divisionx 100 0.7575% Do the divisionx 100

13. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Convert these percentages to fraction and simply Percentages www.mathsrevision.com

14. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Write the following percentages as a fraction. 17% = 81% = Percentages 40% =

15. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Covert these fractions to percentages Percentages www.mathsrevision.com

16. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Write the following fractions as percentages. = 27% = 29% = 15% Percentages Comparing Percentages

17. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Franchesca got 45 out of 60 in her Maths exam and Michael got 21 out of 30 in an English exam. Who got the best result. Percentages Franchesca has the best result.

18. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Paul scored : 24 out of 30 in English and 36 out of 40 in Maths. By finding the percentage score for each, which is his best subject ? Percentages EnglishMaths Comparing Percentages

19. N5 Num 9-Jan-16Created by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex 2 Ch3 (page 29) www.mathsrevision.com Percentages Are you on Target ? I can ?

20. 9-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 8cm 10cm

21. N5 Num Learning Intention Success Criteria 1.To know when to use compound formula. 1.We are learning how to use the compound formula for appropriate problems. 2.Solve problems involving compound formula. www.mathsrevision.com Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 21 Compound Interest

22. N5 Num www.mathsrevision.com Compound Interest Interest calculated on new value every year Real life Interest is not a fixed quantity year after year. One year’s interest becomes part of the next year’s amount. Each year’s interest is calculated on the amount at the start of the year. Example Daniel has £400 in the bank. He leaves it in the bank for 3 years. The interest is 7% each year. Calculate the simply interest and then the compound interest after 3 years. Initial value Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 22

23. N5 Num www.mathsrevision.com Daniel has £400 in the bank. He leaves it in the bank for 3 years. The interest is 7% each year. Calculate the compound interest and the amount he has in the bank after 3 years. Y1 : Interest = 7% of £400 = £28 Amount = £400 + £28 = £428 Y 2 : Interest = 7% of £428 = £29.96 Amount = £428 + £29.96 = £457.96 Y 3 : Interest = 7% of £457.96 = £32.06 Amount = £457.06 + £32.06 = £490.02 Compound is £490.02 - £400 = £90.02Simple Interest is only £84 Interest = 7% of £400 = £28 3 x 28 = £84 Simple Interest Interest calculated on new value every year Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 23 Compound Interest

24. N5 Num www.mathsrevision.com Easier Method Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 24 n = period of time Days, months years ± = increase or decrease I = initial value V = Value IMPORTANT Can only use this when percentage is fixed This is called the multiplier. Compound Interest

25. N5 Num www.mathsrevision.com Calculate the money in the bank after 3 years if the compound interest rate is 7% and the initial value is £400. V= 400 x (1.07) 3 = £490.02 Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 25 n = 3 ± = increase 1+0.07=1.07 I =400 Compound Interest

29. N5 Num 9-Jan-16Created by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex 3 Ch3 (page 31) www.mathsrevision.com Percentages Compound Interest

30. N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com

31. N5 Num Learning Intention Success Criteria 1.To know the terms appreciation and depreciation. 1.We are learning about the terms appreciation and depreciation. 2.Show appropriate working when solving problems containing appreciation and depreciation. www.mathsrevision.com Appreciation & Depreciation Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 31

32. N5 Num www.mathsrevision.com Appreciation : Going up in value e.g. House value Depreciation : Going down in value e.g. car value Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 32 Appreciation & Depreciation

33. N5 Num Average house price in Ayr has appreciated by 79% over past 10 years. If you bought the house for £64995 ten years ago in 1994 how much would the house be worth now ? Appreciation= 79% x £ 64995 = 0.79 x £64995 = £ 51346.05 New value= Old Value + Appreciation = £64995 + £51346.05 = £ 116341.05 Just working out percentages Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 33 Quicker Method Easier % £ 100  64995 179 

34. N5 Num Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 34 A Mini Cooper cost £14 625 in 2002 At the end 2003 it depreciated by 23% At the end 2004 it will depreciate by a further 16% What will the mini cooper worth at end 2004? End 2003 Depreciation = 23% x £14625 = 0.23 x £14625 = £3363.75 New value= Old value - Depreciation = £14625 - £3363.75 = £11261.25 www.mathsrevision.com Appreciation & Depreciation

35. N5 Num www.mathsrevision.com Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. lafferty @ www.mathsrevision.com 35 End 2003 Depreciation = 23% x £14625 = 0.23 x £14625 = £3363.75 New value= Old value - Depreciation New value= Old value - Depreciation = £14625 - £3363.75 = £11261.25 End 2004 Depreciation = 16% x £11261.25 = 0.16 x £11261.25 = £1801.80 New Value = £11261.25 - £1801.80 = £9459.45 = £9459.45 Appreciation & Depreciation

36. N5 Num 9-Jan-16Created by Mr. Lafferty Maths Dept. Now try lifeskills Ex 4 Ch3 (page 29) www.mathsrevision.com Percentages Comparing Percentages Have you updated your Learning Log ? Are you on Target ? I can ?