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# Level 4/5 Booster - PowerPoint PPT Presentation

Level 4/5 Booster. Lesson 3B. Fractions, decimals and percentages 2. Objectives:. Calculate percentages using non-calculator methods. Calculate percentages less than 10% and values other than multiples of 10. Vocabulary:. multiple. Equivalent. recurring decimal. T3.1B.

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Presentation Transcript

Lesson 3B

Fractions, decimals and percentages 2

• Calculate percentages using non-calculator methods.

• Calculate percentages less than 10% and values other than multiples of 10.

Vocabulary:

multiple

Equivalent

recurring decimal

500 is 10% of 5000

20 is 50% of 40.

50 is 20% of 250 120 is 25% of 480 90 is 5% of 1800

70 is 50% of 140 60 is 50% of 120

120 is 40% of 300

250 is 50% of 500

90 is 75% of 120

Find three more percentage relationships on the target board.

How did you work out 10% of £380?

How can you use the answer for 10% to find 20%?

20% = 10% + 10% = £38 + £38 = £76

How can you use 10% to find 30%?

30% = 10% + 10% + 10% = 3 x £38 = £114

10%

60%

50%

20%

60

30%

40%

On a copy of the spider diagram fill in the amounts.

10%

60%

6

36

50%

20%

60

30

12

30%

40%

24

18

How can you work out 5% if you know 10%?

10% of £240 is £24

so 5% of £240 is £12.

10%

0%

100%

0

£240

£24

Find 5% of £720 – explain how you got the answer.

so 5% of £720 is £36

10% of £720 is £72

Find 5% of each amount as it is highlighted

15% can be found by adding 10% and 5% together.

Find 15% of 300 – explain your working.

10% of 300 is 30

5% of 300 is 15

15% is 30 + 15 = 45

15%

10%

0%

100%

0

300

30

45

Find 15% of each number as it is highlighted.

25%

15%

10%

17.5%

5%

60

45%

95%

35%

55%

Complete a spider diagram like the one above.

25%

15%

10%

9

15

6

17.5%

10.5

5%

3

60

45%

57

95%

27

21

33

35%

55%

Example: Find 1% of £350

Method 1

1% is the same as 1/100th so I can divide by 100

£350 ÷ 100 = £3.5 written £3.50

Method 2

1% is 10% divided by 10.

10% of £350 is £35 so 1% is £35 ÷10 = £3.5 or £3.50

State 1% of each number as it is highlighted.

• Calculate percentages using non-calculator methods.

• Calculate percentages less than 10% and values other than multiples of 10.

Vocabulary:

multiple

Equivalent

recurring decimal