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Num umbe ber: r: Perc rcent ntages 6 Fluency Teaching Slides For or the ful ull slides inc nclud uding ng reasoni oning ng, pl please visit: www.masterthecur urricul ulum um.co. o.uk uk 6 Fluency Teaching Slides Fractions

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SLIDE 1

6

Fluency Teaching Slides

Num umbe ber: r: Perc rcent ntages

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SLIDE 2

6

Fluency Teaching Slides

For

  • r the ful

ull slides inc nclud uding ng reasoni

  • ning

ng, pl please visit: www.masterthecur urricul ulum um.co.

  • .uk

uk

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SLIDE 3

6

Fluency Teaching Slides

www.masterthecurriculum.co.uk

Fractions ions to

  • Percent

ntages

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SLIDE 4

masterthecurriculum.co.uk

4

Activity 1 Fractions to Percentages

What fraction

  • n of
  • f each hund

undred squa quare is shaded? Write the fractions

  • ns as pe

percent ntages.

?

What does the word ‘percent’ mean? Percentages - 6

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SLIDE 5

masterthecurriculum.co.uk

5

Activity 1 Fractions to Percentages

What fraction

  • n of
  • f each hund

undred squa quare is shaded? Write the fractions

  • ns as pe

percent ntages.

= 20%

___

20 100

= 74%

___

74 100

Percentages - 6

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SLIDE 6

masterthecurriculum.co.uk

6

Activity 2 Fractions to Percentages

What fraction

  • n of
  • f each hund

undred squa quare is shaded? Write the fractions

  • ns as pe

percent ntages.

?

What does the word ‘percent’ mean? Percentages - 6

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SLIDE 7

masterthecurriculum.co.uk

7

Activity 2 Fractions to Percentages

What fraction

  • n of
  • f each hund

undred squa quare is shaded? Write the fractions

  • ns as pe

percent ntages.

= 32%

___

32 100

= 30%

___

30 100

Percentages - 6

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SLIDE 8

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8

Activity 2 Fractions to Percentages

Fraction

  • n

Percent ntage 1 __ 2 1 __ 4 1 __ 10 1 __ 5

Com

  • mpl

plete the tabl ble.

Percentages - 6

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SLIDE 9

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9

Activity 2 Fractions to Percentages

Fraction

  • n

Percent ntage 1 __ 2 1 __ 4 1 __ 10 1 __ 5

50%

Com

  • mpl

plete the tabl ble.

25% 10% 20%

Percentages - 6

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SLIDE 10

masterthecurriculum.co.uk

1

Activity 3 Fractions to Percentages

15 ___ 100 = % ___ 25 50 = % = ___ 100 ___ 100 = % 57 ___ 100 = % 39 ___ 78

Fill in n the missing ng num numbe bers.

?

How do you convert the fraction to get the percentage? Percentages - 6

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SLIDE 11

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11

Activity 3 Fractions to Percentages

15 ___ 100 = % ___ 25 50 = % = ___ 100 ___ 100 = % 57 ___ 100 = % 39 ___ 78

Fill in n the missing ng num numbe bers.

15 50 50 57 50

Percentages - 6

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SLIDE 12

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

  • ther fractions are easy to convert to percentages?

12

Fractions to Percentages

% % % % % % % % % % %

Percentages - 6

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SLIDE 13

6

Fluency Teaching Slides

www.masterthecurriculum.co.uk

Equiv quivalent nt FD FDP

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SLIDE 14

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14

Activity 1 Equivalent FDP

De Decimal Fraction

  • n

Percent ntage 0.25 25% 0.48 0.5 0.01 ___ 25 100

Com

  • mpl

plete the tabl ble.

Percentages - 6

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SLIDE 15

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15

Activity 1 Equivalent FDP

De Decimal Fraction

  • n

Percent ntage 0.25 25% 0.48 0.5 0.01 ___ 25 100

Com

  • mpl

plete the tabl ble.

48% 50% 1%

___ 48 100 ___ 50 100 ___ 1 100

Percentages - 6

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SLIDE 16

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16

Activity 2 Equivalent FDP

Use <, > or

  • r = to
  • com
  • mpl

plete the statement nts.

?

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

0.74 30% 0.50 80% 0.3 1 __ 6 0.28 1 __ 5

Percentages - 6

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SLIDE 17

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17

Activity 2 Equivalent FDP

0.74 30% 0.50 80% 0.3 1 __ 6 0.28 1 __ 5

Use <, > or

  • r = to
  • com
  • mpl

plete the statement nts.

> < > <

Percentages - 6

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SLIDE 18

masterthecurriculum.co.uk

18

Activity 3 Equivalent FDP

___ 40 100 ___ 4 100 0.04 ___ 8 50 0.4

Which of

  • f these are equi

quivalent nt to

  • 40%?

Percentages - 6

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SLIDE 19

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19

Activity 3 Equivalent FDP

___ 40 100 ___ 4 100 0.04 ___ 8 50 0.4

Which of

  • f these are equi

quivalent nt to

  • 40%?

ü ü ü ü

4% 4% 16%

Percentages - 6

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SLIDE 20

masterthecurriculum.co.uk

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

% % % % % % % % % % %

Percentages - 6

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SLIDE 21

6

Fluency Teaching Slides

www.masterthecurriculum.co.uk

Or Order er FDP DP

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SLIDE 22

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22

Activity 1 Order FDP

62% 0.62 7 __ 8 0.38 74% 4 __ 5 49.5 30% __ 5 25

Use <, > or

  • r = to
  • com
  • mpl

plete the statement nts.

?

Can you answer the calculations mentally? Percentages - 6

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SLIDE 23

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23

Activity 1 Order FDP

62% 0.62 7 __ 8 0.38 74% 4 __ 5 49.5 30% __ 5 25

Use <, > or

  • r = to
  • com
  • mpl

plete the statement nts.

> = < < < <

Percentages - 6

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SLIDE 24

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24

Activity 2 Order FDP

___ 5 10 ___ 75 100 0.43 ___ 3 50 0.22

Order from

  • m smallest to
  • largest:

Percentages - 6

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SLIDE 25

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25

Activity 2 Order FDP

___ 5 10 ___ 75 100 0.43 ___ 3 50 0.22

Order from

  • m smallest to
  • largest:

6% 22% 43% 50% 75%

Percentages - 6

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SLIDE 26

26

Order FDP

20% 20% 0. 0.25 25 10% 10% 0. 0.3 ?

Activity 3

Five friend nds share a cake. Es Esin eats 20% of

  • f the cake,

Zach eats 0.25 of

  • f the cake, Tia eats 10% of
  • f the cake,

and nd Leanna nna eats 0.3 of

  • f the cake.

Write the amount

  • unt each child eats as a fraction.
  • n.

?

Who eats the most? Who eats the least? Is there any left for their friend Malachi? Percentages - 6

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SLIDE 27

27

Order FDP

20% 20% 0. 0.25 25 10% 10% 0. 0.3 ?

Activity 3

Five friend nds share a cake. Es Esin eats 20% of

  • f the cake,

Zach eats 0.25 of

  • f the cake, Tia eats 10% of
  • f the cake,

and nd Leanna nna eats 0.3 of

  • f the cake.

Write the amount

  • unt each child eats as a fraction.
  • n.

___

20 100

___

25 100

___

10 100

___

30 100

There is is left for

  • r Malachi.

i. Leanna nna eats the mos

  • st, and

nd Tia ia eats least.

___ 15 100 Percentages - 6

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SLIDE 28

masterthecurriculum.co.uk

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

% % % % % % % % % % %

Percentages - 6

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SLIDE 29

6

Fluency Teaching Slides

www.masterthecurriculum.co.uk

Percent ntage of

  • f an

n Amount

  • unt (1)
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SLIDE 30

masterthecurriculum.co.uk

30

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

Com

  • mpl

plete the sent ntenc nces.

25% is equivalent to . To find 25% of an amount, divide by ____. 10% is equivalent to . To find 10% of an amount, divide by ____. 1% is equivalent to . To find 1% of an amount, divide by ____.

Percentages - 6

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SLIDE 31

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31

Activity 1 Percentage of an Amount (1)

25% is equivalent to . To find 25% of an amount, divide by ____. 10% is equivalent to . To find 10% of an amount, divide by ____. 1% is equivalent to . To find 1% of an amount, divide by ____.

50% is equivalent to ½. To find 50% of an amount, you can divide by 2.

__ 1 __ 1 __ 1

Com

  • mpl

plete the sent ntenc nces.

4 10 100 4 10 100

Percentages - 6

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SLIDE 32

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32

Activity 2 Percentage of an Amount (1)

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 ba bar mod

  • dels to
  • help

p you

  • u com
  • mpl

plete the calcul ulations

  • ns.

?

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

50% of 408 = 25% of 124 =

Percentages - 6

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SLIDE 33

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33

Activity 2 Percentage of an Amount (1)

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 ba bar mod

  • dels to
  • help

p you

  • u com
  • mpl

plete the calcul ulations

  • ns.

408 ÷ 2 124 ÷ 4

Percentages - 6

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SLIDE 34

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34

Activity 3 Percentage of an Amount (1)

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

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SLIDE 35

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35

Activity 3 Percentage of an Amount (1)

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

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SLIDE 36

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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

Percentage of an Amount (1)

% % % % % % % % % % %

Percentages - 6

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SLIDE 37

6

Fluency Teaching Slides

www.masterthecurriculum.co.uk

Percent ntage of

  • f an

n Amount

  • unt (2)
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SLIDE 38

masterthecurriculum.co.uk

Activity 1 Percentage of an Amount (2)

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 us uses a ba bar mod

  • del to
  • find

nd 40% of

  • f 90.

?

Use Zachʻs method to calculate:

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

Percentages - 6

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SLIDE 39

masterthecurriculum.co.uk

Activity 1 Percentage of an Amount (2)

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

?

39

Zach us uses a ba bar mod

  • del to
  • find

nd 40% of

  • f 90.

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

10% of

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

10% of

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

10% of

  • f 70 = 7, so
  • 70% of
  • f 70 = 7 x 7 = 49.

10% of

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

Percentages - 6

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SLIDE 40

masterthecurriculum.co.uk

Activity 2 Percentage of an Amount (2)

40

To

  • find

nd 5% of

  • f a num

numbe ber, divide by by 10 and nd then n divide by by 2. Use this method

  • d to
  • wor
  • rk out
  • ut:

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

?

How else could we work 5%? Percentages - 6

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SLIDE 41

masterthecurriculum.co.uk

Activity 2 Percentage of an Amount (2)

41

To

  • find

nd 5% of

  • f a num

numbe ber, divide by by 10 and nd then n divide by by 2. Use this method

  • d to
  • wor
  • rk out
  • ut:

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

160 160 ÷ 10 = 16 and nd then n 16 ÷ 2 2 = = 8. 8. 280 280 ÷ 10 = 28 and nd then n 28 ÷ 2 2 = = 14. 14. 160c 160cm ÷ 10 = 16cm and nd then n 16cm ÷ 2 2 = = 8 8 cm. We can n also

  • dir

irectly div ivid ide by by 20.

Percentages - 6

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SLIDE 42

masterthecurriculum.co.uk

Activity 3 Percentage of an Amount (2)

42

Calcul ulate:

65% of 30m 35% of 170g 15% of £50

Percentages - 6

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SLIDE 43

masterthecurriculum.co.uk

Activity 3 Percentage of an Amount (2)

43

Calcul ulate:

65% of 30m 35% of 170g 15% of £50

19.5m 19.5m 59.5g 59.5g £7.5 7.5

Percentages - 6

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SLIDE 44

masterthecurriculum.co.uk

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

Percentage of an Amount (2)

% % % % % % % % % % %

Percentages - 6

slide-45
SLIDE 45

6

Fluency Teaching Slides

www.masterthecurriculum.co.uk

Percent ntages – Mis issing ing Value ues

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SLIDE 46

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46

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 tour

  • urists visited Buc

ucking ngham Pa Palace last mont

  • nth.

?

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

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SLIDE 47

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47

Activity 1

Remaining ining value ues =

100% 100% - 15% 15% - 40% 40% = = 45% 45%

Therefor

  • re, dur

uring ing the rest of

  • f the mont
  • nth =

350,000 x 45% = 157,500 tour

  • urists

Percentages – Missing Values

Percentages - 6

350,000 tour

  • urists visited Buc

ucking ngham Pa Palace last mont

  • nth.
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SLIDE 48

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48

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

  • f a num

numbe ber, what is the num numbe ber? Use the ba bar mod

  • del to
  • help

p you.

  • u.
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SLIDE 49

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49

Activity 2 Percentages – Missing Values

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

80

8

Percentages - 6

8 8 x 10 10 = = 80 80 If 8 is 10% of

  • f a num

numbe ber, what is the num numbe ber? Use the ba bar mod

  • del to
  • help

p you.

  • u.
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SLIDE 50

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50

Activity 3 Percentages – Missing Values

Com

  • mpl

plete the fol

  • llow
  • wing

ng:

Percentages - 6

?

Can you see a link between the questions?

10% of 250 = 30% of 100 = 30% of = 75 30% of = 300

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SLIDE 51

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51

Activity 3 Percentages – Missing Values

Com

  • mpl

plete the fol

  • llow
  • wing

ng: 10% of 250 = 30% of 100 = 25

Percentages - 6

30% of = 75 30% of = 300 30 250 1000

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SLIDE 52

masterthecurriculum.co.uk

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 – Missing Values

Percentages - 6

% % % % % % % % % % %