Compiled by Mr. Lafferty Maths Dept. Fractions Egyptian Fractions Using a to Find Fractions Percentages Using a to Finding a Percentage www.mathsrevision.com Percentage Increase and Decrease Rates and Working out Rates 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions S4 www.mathsrevision.com 2cm 3cm 10cm 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Egyptian Fractions S4 Learning Intention Success Criteria To understand what an Egyptian Fraction is and how to solve problems. To understand the term Egyptian Fraction. Be able to solve Egyptian Fraction problems . www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. How long ago is this? Egyptian Fractions S4 Egyptian Fractions were invented in 3000 BC A Egyptian Fraction consists of 2 parts. Top number ALWAYS 1 is called the numerator 1 5 www.mathsrevision.com Bottom number is called the denominator 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Egyptian Fractions www.mathsrevision.com Stored in the British Museum in London Egyptian Fractions S4 Egyptian Fractions were invented in 3000 BC It was a 25 year old Scotsman, Henry Rhind who brought the first evidence of Egyptian Fractions to Britain. He bought at a market in Luxor, Egypt, in 1858 papyrus scrolls that contained evidence of fractions. These are called the www.mathsrevision.com Rhind Mathematical Papyrus 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Egyptian Fractions S4 Write down all the Egyptian Fractions you can see below: www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Egyptian Fractions of 120 of 120 x 120 x 120 www.mathsrevision.com = = ‘of’ means ‘x’ Egyptian Fractions S4 How to calculate a fraction of a quantity. of 120 of 120 x 120 = x 120 = www.mathsrevision.com Simply divide the quantity by the bottom number 60 30 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Egyptian Fractions S4 Try these 75 70 www.mathsrevision.com 40 5.06 90 10.1 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Egyptian Fractions S4 Now try Ex 2.1 Ch5 Page 72 www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions S4 20cm www.mathsrevision.com 2cm 5cm 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Calculator Fractions S4 Q. Find of £1800 Calculator Keys www.mathsrevision.com 1 8 6 = 30 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity Learning Intention Success Criteria To show how to use a calculator to calculate a fraction of a quantity. To know the 2 step for finding a fraction of a quantity. Be able to calculate the fraction of a quantity. www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Calculator Fractions S4 Q. Find of £142.50 Calculator Keys www.mathsrevision.com 1 4 2 . 5 1 9 = 7.5 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Calculator Fractions S4 Q. Of 3500 people surveyed believed that Globe Warming was not a serious problem. How many people believed it was not a problem. Calculator Keys www.mathsrevision.com 3 5 2 5 = 140 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Calculator Fractions S4 Now try Ex 2.2 Ch5 Page 74 www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions S4 www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages S4 Learning Intention Success Criteria To explain what the term percentage means and how it is connected to Egyptian Fractions. To understand the term percentage. Understand connection between percentage, and Egyptian Fractions. www.mathsrevision.com 3. Find a percentage of a quantity. 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Percentages www.mathsrevision.com 31 out of a 100 When a shape is divided into 100 ‘bits’ each bit is called “ 1 percent” = 1% 31 % means www.mathsrevision.com 7 % means 7 out of a 100 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Percentages The basic Percentages (%) are connected with the Egyptian Fractions. You have 1 minute to write down the basic percentages and there equivalent fraction www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages S4 Answers www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages S4 Q. Change these percentages to fractions out of a 100 Q. Change these fractions to percentages www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages S4 Q. Change these percentages to decimals. Q. Change these decimals to percentages www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages S4 Q. Find 50% of 70 35 Q. Find 25% of 180 www.mathsrevision.com 45 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages S4 Now try Ex 3.1 Ch5 Page 76 www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions S4 www.mathsrevision.com 6cm 1cm 3cm 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Percentages (Calculator) Learning Intention Success Criteria To understand how to calculate a percentage of a quantity using a calculator. Use a calculator to find a percentage of a quantity. Show all working. www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Percentages Q. Find 17% of £450 www.mathsrevision.com = £76.50 Remember money is always 2 decimal places Percentages S4 Q. Find 17% of £450 = £76.50 www.mathsrevision.com Calculator Keys 4 5 1 x 1 7 = 76.5 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Percentages Q. Find 4% of £70 www.mathsrevision.com = £2.80 Remember money is always 2 decimal places Percentages S4 Q. Find 4% of £70 = £2.80 www.mathsrevision.com Calculator Keys 7 1 x 4 = 2.8 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Calculator Fractions S4 Q. 73% of 3600 people in a survey have brown eyes. How many people have brown eyes. Calculator Keys www.mathsrevision.com 3 6 5 1 x 7 3 = 2628 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages S4 Now try Ex 3.2 Ch5 Page 78 www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions S4 www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Percentage Increase / Decrease Learning Intention Success Criteria 1. To explain some simple increases and decreases in percentages using shop prices. Understand terms increase /decrease for percentages. Calculate simple increases / decreases in percentages. www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Percentage Increase / Decrease Example 1 In a sale the cost of a jumper is reduced by 10%. What is the sale price of the jumper. www.mathsrevision.com Original Price £35 Sale Price = Created by Mr. Lafferty Maths Dept

Percentage Increase / Decrease Example 2 The total hours of sunshine in June was 260. The total for July was 5% higher than June.. What is the total hours of sunshine in July. www.mathsrevision.com July Total Hours = Created by Mr. Lafferty Maths Dept

Compiled by Mr. Lafferty Maths Dept. Simple Percentages S4 Now try Exercise 4.1 Ch5 Page 80 www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions S4 www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Rates S4 Learning Intention Success Criteria 1. To explain some more basic percentages. To know the basic percentages. Calculate basic percentage without a calculator. www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Rates Example 1 : Mick the mechanic hourly rate of pay is £6.50. Last week he worked 5 hours. What is his basic pay? www.mathsrevision.com Pay is = £6.50 x 5 = £32.50 20-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Rates Example 2 : Jim is a joiner his hourly rate of pay is £10.50. He works 40 hours a week. What is his basic pay? www.mathsrevision.com Pay is = £10.50 x 40 = £420.00 20-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Rates Example 3 : Wendy can type 300 words in 6 minutes. How many words does she type per minute. www.mathsrevision.com Words per minute 300 ÷ 6 = 50 words 20-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Rates Example 4 : Six bags of crisps were bought for £2.10. How much for 1 bag of crisps. www.mathsrevision.com 1 bag = £2.10 ÷ 6 = £0.35 20-Apr-17 Created by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Rates S4 Now try Ex 5.1 & 5.2 Ch5 Page 82 www.mathsrevision.com 20-Apr-17 Compiled by Mr. Lafferty Maths Dept.