Fractions Decimals Percentages What is a Percentage Conversion between % Fractions and Decimals www.mathsrevision.com Finding Basic Percentages using Fractions Finding a Percentage with a Calculator 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions 7 x 8 56 x 7 480 ÷ 4 Write ½ as a decimal www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages Learning Intention Success Criteria We are learning what the term percentage means and how it is connected to a fraction and a decimal. To understand the term percentage. Understand connection between percentage, fraction and decimal. www.mathsrevision.com 3. Find a percentage of a quantity. 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Percentages www.mathsrevision.com 16 out of a 100 When a shape is divided into 100 ‘bits’ each bit is called “ 1 percent” 16 100 16 % means = 0.16 www.mathsrevision.com 40 100 40 % means = 0.40 40 out of a 100 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Write down the percentage , fraction, and decimal for each colour. Brown Blue 36 % 28 % 36 100 28 100 = 0.36 = 0.28 White 36 % 36 100 = 0.36

Write down the percentage , fraction, and decimal for each colour. Blue Green 20 % 12 % 20 100 12 100 = 0.20 = 0.12 White 68 % 68 100 = 0.68

Created by Mr. Lafferty Maths Dept. Percentages Now try TJ2a Ex 1 Ch12 (page 107) www.mathsrevision.com 4-Jan-18 Created by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages Learning Intention Success Criteria 1. We are learning to convert a fraction to a percentage and use them in context. To know how to convert a fraction to a percentage. Be able to compare percentages in context. www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Percentages 0.75 75% Converting a fraction to a percentage Do the division x 100 www.mathsrevision.com Fraction Decimal Percentage Do the division x 100 0.75 75% 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Percentages Write the following fractions as percentages. Comparing Percentages Write the following fractions as percentages. = 27% = 15% www.mathsrevision.com = 29% 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages 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 ? English Maths www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Percentages Now try TJ2a Ex 2 Ch12 (page 109) www.mathsrevision.com 4-Jan-18 Created by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages Without a Calculator Learning Intention Success Criteria We are learning how to calculate a percentage without a calculator. To understand the process of how to calculate a percentage without a calculator. Be able to calculate a percentage without a calculator. www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages Without a Calculator To working out a simple percentage it is easier to use the fraction equivalent. We will concentrate on www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. “of” means multiple Percentages Without a Calculator Find 25% of £40 1 0 = www.mathsrevision.com = 10 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages Without a Calculator Find 50% of £250 1 2 5 ½ x 250 = www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages Without a Calculator Find 10% of £690 1 10 x 690 = = 690 ÷ 10 www.mathsrevision.com = 69 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Percentages Now try TJ2a Ex 3 Ch12 (page 110) www.mathsrevision.com 4-Jan-18 Created by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages With a Calculator Learning Intention Success Criteria 1. We are learning to calculate a percentage of a quantity using a calculator. To know how to calculate a percentage using a calculator. Show working. www.mathsrevision.com 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. of means multiple Percentages With a Calculator Find 17% of £450 17 100 x 450 www.mathsrevision.com = 76.5 Remember money 2 decimal places = £76.50 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages With a Calculator Find 4% of £70 4 100 x 70 Remember !! money 2 decimal places www.mathsrevision.com = 2.8 = £2.80 4-Jan-18 Compiled by Mr. Lafferty Maths Dept.

Percentage 4 6 15 100 x 40 = 4 www.mathsrevision.com Total Points = Example Last year a football team got 40 points in the League. This year they got 15% more. How many points did they get. 15 100 x 40 = 4 www.mathsrevision.com Total Points = 4 6 Created by Mr. Lafferty Maths Dept

Percentage 9 100 x 90000 = £8100 £ 8 1 9 0 0 www.mathsrevision.com Example Last year a house was valued at £90000. This year the price dropped by 9%. What was the price this year ? 9 100 x 90000 = £8100 www.mathsrevision.com New Price £ 8 1 9 0 0 Created by Mr. Lafferty Maths Dept

Percentages Now try TJ2a Ex 4 Ch12 (page 111) www.mathsrevision.com Have you updated your Learning Log ? Percentages Comparing Percentages Now try TJ2a Ex 4 Ch12 (page 111) www.mathsrevision.com 4-Jan-18 Created by Mr. Lafferty Maths Dept.