510 likes | 897 Views
Fractions Decimals Percentages. What is a Percentage. Conversion between % Fractions and Decimals. Finding Basic Percentages using Fractions. www.mathsrevision.com. Finding a Percentage with a Calculator. Starter Questions. 7 x 8 56 x 7 480 ÷ 4 Write ½ as a decimal.
E N D
Fractions Decimals Percentages What is a Percentage Conversion between % Fractions and Decimals Finding Basic Percentages using Fractions www.mathsrevision.com Finding a Percentage with a Calculator Compiled by Mr. Lafferty Maths Dept.
Starter Questions • 7 x 8 • 56 x 7 • 480 ÷ 4 • Write ½ as a decimal www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages Learning Intention Success Criteria • To understand the term percentage. • We are learning what the term percentage means and how it is connected to a fraction and a decimal. • Understand connection between percentage, fraction and decimal. www.mathsrevision.com 3. Find a percentage of a quantity. Compiled by Mr. Lafferty Maths Dept.
16 out of a 100 Percentages When a shape is divided into 100 ‘bits’ each bit is called “ 1 percent” 16 % means = 0.16 www.mathsrevision.com 16 40 = 0.40 40 % means 100 100 40 out of a 100 Compiled by Mr. Lafferty Maths Dept.
Write down the percentage , fraction, and decimal for each colour. Brown Blue 36 % 28 % = 0.36 = 0.28 White 36 28 36 36 % 100 100 100 = 0.36
Write down the percentage , fraction, and decimal for each colour. Blue Green 20 % 12 % = 0.20 = 0.12 White 20 12 68 68 % 100 100 100 = 0.68
Percentages Now try TJ2a Ex 1 Ch12 (page 107) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages Learning Intention Success Criteria • To know how to convert a fraction to a percentage. 1. We are learning to convert a fraction to a percentage and use them in context. • Be able to compare percentages in context. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages Converting a fraction to a percentage Do the division x 100 Fraction Decimal Percentage www.mathsrevision.com Do the division x 100 0.75 75% Compiled by Mr. Lafferty Maths Dept.
Percentages Comparing Percentages Write the following fractions as percentages. = 27% = 15% www.mathsrevision.com = 29% 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 Compiled by Mr. Lafferty Maths Dept.
Percentages Now try TJ2a Ex 2 Ch12 (page 109) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages Without a Calculator Learning Intention Success Criteria • To understand the process of how to calculate a percentage without a calculator. • We are learning how to calculate a percentage without a calculator. • Be able to calculate a percentage without a calculator. www.mathsrevision.com 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 Compiled by Mr. Lafferty Maths Dept.
“of” means multiple Percentages Without a Calculator Find 25% of £40 1 0 = www.mathsrevision.com = 10 Compiled by Mr. Lafferty Maths Dept.
Percentages Without a Calculator Find 50% of £250 1 2 5 ½ x 250 = www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages Without a Calculator Find 10% of £690 x 690 = = 690 ÷ 10 www.mathsrevision.com 1 10 = 69 Compiled by Mr. Lafferty Maths Dept.
Percentages Now try TJ2a Ex 3 Ch12 (page 110) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages With a Calculator Learning Intention Success Criteria • To know how to calculate a percentage using a calculator. 1. We are learning to calculate a percentage of a quantity using a calculator. • Show working. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
of means multiple Percentages With a Calculator Find 17% of £450 x 450 www.mathsrevision.com = 76.5 17 Remember money 2 decimal places = £76.50 100 Compiled by Mr. Lafferty Maths Dept.
Percentages With a Calculator Find 4% of £70 x 70 Remember !! money 2 decimal places www.mathsrevision.com = 2.8 4 = £2.80 100 Compiled by Mr. Lafferty Maths Dept.
Percentage Example Last year a football team got 40 points in the League. This year they got 15% more. How many points did they get. x 40 = 4 www.mathsrevision.com 15 4 6 100 Total Points = Created by Mr. Lafferty Maths Dept
Percentage Example Last year a house was valued at £90000. This year the price dropped by 9%. What was the price this year ? x 90000 = £8100 www.mathsrevision.com 9 £ 8 1 9 0 0 New Price 100 Created by Mr. Lafferty Maths Dept
Have you updated your Learning Log ? Percentages Comparing Percentages Now try TJ2a Ex 4 Ch12 (page 111) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.