year 6 spring term block 1- percentages fluency reviewed · 2020-06-16 · fluency teaching slides...

6Fluency Teaching Slides

Number: Percentages


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Fractions to Percentages

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Activity 1 Fractions to Percentages

What fraction of each hundred square is shaded?

Write the fractions as percentages.

? What does the word ‘percent’ mean?

Percentages - 6





= 20%___20100

= 74%___74100

Percentages - 6





? What does the word ‘percent’ mean?

Percentages - 6





= 32%___32100

= 30%___30100

Percentages - 6



Fraction Percentage

1__

2

1__

4

1__

10

1__

5

Complete the table.

Percentages - 6



Fraction Percentage

1__

2

1__

4

1__

10

1__

5

50%

Complete the table.

25%

10%

20%

Percentages - 6



15___

100= %

___25

50= % = ___

100

___

100= % 57

___100

= % 39 ___78

Fill in the missing numbers.

? How do you convert the fraction to get the percentage?

Percentages - 6



15___

100= %

___25

50= % = ___

100

___

100= % 57

___100

= % 39 ___78

Fill in the missing numbers.

15

5050

57

50

Percentages - 6

masterthecurriculum.co.uk

Discuss

What does the word ‘percent’ mean?

How can you convert tenths to hundredths?

Why is it easy to convert fiftieths to hundredths? What other fractions are easy to convert to percentages?

12

Fractions to Percentages

% % % % % %Percentages - 6



Equivalent FDP


Activity 1 Equivalent FDP

Decimal Fraction Percentage

0.25 25%

0.48

0.5

0.01

___25

100

Complete the table.

Percentages - 6



Decimal Fraction Percentage

0.25 25%

0.48

0.5

0.01

___25

100

Complete the table.

48%

50%

1%

___48

100

___50

100

___1

100

Percentages - 6



Use <, > or = to complete the statements.

? Which is easiest to convert? Decimals to fraction or decimals to percentage?

0.74 30%

0.50 80%

0.31__

6

0.281__

5

Percentages - 6



0.74 30%

0.50 80%

0.31__

6

0.281__

5


>

<

>

<

Percentages - 6



___40

100

___4

1000.04

___8

500.4

Which of these are equivalent to 40%?

Percentages - 6



___40

100

___4

1000.04

___8

500.4

Which of these are equivalent to 40%?

ü

ü4% 4%

16%

Percentages - 6


Discuss

How does converting a decimal to a fraction help you to convert it to a percentage?

How do you convert a percentage to a decimal?

Can you use a hundred square to represent your conversions?

20

Equivalent FDP




Order FDP


Activity 1 Order FDP

62% 0.627__

8

0.38 74%4__

5

49.5 30%__5

25


? Can you answer the calculations mentally?

Percentages - 6



62% 0.627__

8

0.38 74%4__

5

49.5 30%__5

25


>

= <

< <

<

Percentages - 6



___5

10

___75

1000.43

___3

500.22

Order from smallest to largest:

Percentages - 6



___5

10

___75

1000.43

___3

500.22

Order from smallest to largest:

6% 22% 43% 50% 75%

Percentages - 6

26

Order FDP

20% 0.25 10%0.3?

Activity 3

Five friends share a cake. Esin eats 20% of the cake, Zach eats 0.25 of the cake, Tia eats 10% of the cake,

and Leanna eats 0.3 of the cake.

Write the amount each child eats as a fraction.

? Who eats the most? Who eats the least? Is there any left for their friend Malachi?

Percentages - 6

27

Order FDP

20% 0.25 10%0.3?

Activity 3

Five friends share a cake. Esin eats 20% of the cake, Zach eats 0.25 of the cake, Tia eats 10% of the cake,

and Leanna eats 0.3 of the cake.

Write the amount each child eats as a fraction.

___20100

___25100

___10100

___30100

There is left for Malachi.

Leanna eats the most, and Tia eats least.

___15

100

Percentages - 6


Discuss

What do you notice about the fractions, decimals or percentages? Can you compare any straight away?

What is the most efficient way to order them?

Do you prefer to convert your numbers to decimals, fractions, or percentages? Why?

If you put them in ascending order, what will it look like? If you put them in descending order, what will it look like?

28

Order FDP




Percentage of an Amount (1)


Activity 1 Percentage of an Amount (1)

50% is equivalent to ½.To find 50% of an amount, you can

divide by 2.

__1

__1

__1

Complete the sentences.

25% is equivalent to . To find 25% of an amount, divide by ____.



Percentages - 6






50% is equivalent to ½.To find 50% of an amount, you can

divide by 2.

__1

__1

__1

Complete the sentences.

4

10

100

4

10

100

Percentages - 6



10% 20%0% 30% 40% 50% 60% 70% 80% 90% 100%

?

10% 20%0% 30% 40% 50% 60% 70% 80% 90% 100%

?

408 124

Use the bar models to help you complete the calculations.

? What method do you use to solve the calculations faster? Do you use the bar models?

50% of 408 = 25% of 124 =

Percentages - 6



10% 20%0% 30% 40% 50% 60% 70% 80% 90% 100% 10% 20%0% 30% 40% 50% 60% 70% 80% 90% 100%

50% of 408 = 204 25% of 124 = 31

408 124

Use the bar models to help you complete the calculations.

408 ÷ 2 124 ÷ 4

Percentages - 6



50% of 300 =

50% of 30 =

50% of 60 =

Solve the following:

25% of 300 =

25% of 30 =

25% of 60 =

10% of 300 =

10% of 30 =

10% of 60 =

1% of 300 =

1% of 30 =

1% of 60 =

Percentages - 6



50% of 300 =

50% of 30 =

50% of 60 =

Solve the following:

25% of 300 =

25% of 30 =

25% of 60 =

10% of 300 =

10% of 30 =

10% of 60 =

1% of 300 =

1% of 30 =

1% of 60 =

150

15

30

75

7.5

15

30

3

6

3

0.3

0.6

Percentages - 6


Discuss

Why do you divide a quantity by 2 in order to find 50%?

How do you calculate 10% of a number mentally?

What’s the same and what’s different about 10% of 300 and 10% of 30?

36





10% 20%0% 30% 40% 50% 60% 70% 80% 90% 100%

?

10% of 90 = 9 .

So 40% of 90 = 4 x 9 = 36.

38

Zach uses a bar model to find 40% of 90.

? Use Zachʻs method to calculate:

20% of 140 30% of 890 70% of 70 90% of 660

Percentages - 6



10% 20%0% 30% 40% 50% 60% 70% 80% 90% 100%

?

39

Zach uses a bar model to find 40% of 90.

20% of 140

30% of 890

70% of 70

90% of 660

10% of 140 = 14, so 20% of 140 = 2 x 14 = 28.

10% of 890 = 89, so 30% of 890 = 3 x 89 = 267.

10% of 70 = 7, so 70% of 70 = 7 x 7 = 49.

10% of 660 = 66, so 90% of 660 = 9 x 66 = 594.

Percentages - 6



40

To find 5% of a number, divide by 10 and then divide by 2.

Use this method to work out:

5% of 160 5% of 280 5% of 1m 60cm

? How else could we work 5%?

Percentages - 6



41

To find 5% of a number, divide by 10 and then divide by 2.

Use this method to work out:

5% of 160

5% of 280

5% of 1m 60cm

160 ÷ 10 = 16 and then 16 ÷ 2 = 8.

280 ÷ 10 = 28 and then 28 ÷ 2 = 14.

160cm ÷ 10 = 16cm and then 16cm ÷ 2 = 8 cm.

We can also directly divide by 20.

Percentages - 6



42

Calculate:

65% of 30m 35% of 170g 15% of £50

Percentages - 6



43

Calculate:

65% of 30m 35% of 170g 15% of £50

19.5m 59.5g £7.5

Percentages - 6


Discuss

Is dividing by 10 and multiplying by 5 the most efficient way to find 50%? Explain why.

Is dividing by 10 and multiplying by 9 the most efficient way to find 90%? Explain why.

How many ways can you think of to calculate 60% of a number?

44





Percentages –Missing Values


Activity 1

15% of the people visited in the first week.40% of the people visited on the second week.

Percentages – Missing Values

Percentages - 6

350,000 tourists visited Buckingham Palace last month.

? How many tourists visited Buckingham Palace during the rest of the month?


Activity 1

Remaining values =

100% - 15% - 40% = 45%

Therefore, during the rest of the month =

350,000 x 45% = 157,500 tourists


Percentages - 6

350,000 tourists visited Buckingham Palace last month.


Activity 2 Percentages – Missing Values

10% 20%0% 30% 40% 50% 60% 70% 80% 90% 100%

?

8

Percentages - 6

? What method did you use to solve for the missing value?

If 8 is 10% of a number, what is the number?Use the bar model to help you.



10% 20%0% 30% 40% 50% 60% 70% 80% 90% 100%

80

8

Percentages - 6

8 x 10 = 80

If 8 is 10% of a number, what is the number?Use the bar model to help you.



Complete the following:

Percentages - 6

? Can you see a link between the questions?

10% of 250 =

30% of 100 =

30% of = 75

30% of = 300



Complete the following:

10% of 250 =

30% of 100 =

25

Percentages - 6

30% of = 75

30% of = 30030

250

1000


Discuss

If you know a percentage, can you work out the whole?

If you know the whole and the amount, can you find what percentage has been calculated?

What diagrams could help you visualise this problem? Is there more than one way to solve the problem?

What is the most efficient way to find a missing value?

52


Percentages - 6

% % % % % %

year 6 spring term block 1- percentages fluency reviewed · 2020-06-16 · fluency teaching slides...

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