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

N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

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

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

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

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

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

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

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

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

N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Percentages 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.

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

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

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

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

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

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.

N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. 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

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

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

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. Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr Compound Interest

N5 Num 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. 22

N5 Num 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 = £ Y 3 : Interest = 7% of £ = £32.06 Amount = £ £32.06 = £ Compound is £ £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 Compound Interest

N5 Num Easier Method Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr 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

N5 Num 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 = £ Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr n = 3 ± = increase =1.07 I =400 Compound Interest

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

N5 Num 9-Jan-16Compiled by Mr. Lafferty Maths Dept. Starter Questions

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. Appreciation & Depreciation Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr. 31

N5 Num 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 Appreciation & Depreciation

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 £ = 0.79 x £64995 = £ New value= Old Value + Appreciation = £ £ = £ Just working out percentages Saturday, January 09, 2016created by Mr Quicker Method Easier % £ 100  

N5 Num Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr A Mini Cooper cost £ 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 = £ New value= Old value - Depreciation = £ £ = £ Appreciation & Depreciation

N5 Num Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016Saturday, January 09, 2016created by Mr End 2003 Depreciation = 23% x £14625 = 0.23 x £14625 = £ New value= Old value - Depreciation New value= Old value - Depreciation = £ £ = £ End 2004 Depreciation = 16% x £ = 0.16 x £ = £ New Value = £ £ = £ = £ Appreciation & Depreciation

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