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

Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Q Q3. Q2.Tidy-up the expression Q4.

Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. 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.

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

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

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

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

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

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

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. Calculating Percentages Appreciation & Depreciation

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

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 £ in 1994 how much would the house be worth now ? Appreciation = 50% x £ = 0.50 x £ = £ New value = Old Value + Appreciation = £ £ = £ Just working out percentages

Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. A Mini Cooper cost £ 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 £ = 0.2 x £ = £3 000 New value = Old value - Depreciation = £ £3000 = £ Calculating Percentages Appreciation & Depreciation

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 £ = 0.1 x £ = £100 New Value= £ £ 100 = £ nd Year Appreciation = 20% x £ = 0.2 x £ = £ 220 New Value = £ £ 220 = £ 1320 Calculating Percentages Appreciation & Depreciation

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

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

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.. Calculating Percentages Expressing “A” as a percentage of “B”

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 = A B

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

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 £ in 2001 was sold last week for £ Calculate the percentage appreciation in value? % increase = Actual Increase= £ £ = £ A B

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

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

Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. 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

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

Level 3/4 10-Aug-15Created by Mr. Lafferty Maths Dept. 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 = £ % : 100 % - 15 % = £2 550Deduce from question : 85 % = £2 550We have : Finding initial value after an increase or decrease

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