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Fluency & PrecisionFractions to Percentages 6

Lesson 1 – Number - Fractions to Percentages

NC Objective:Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison.

Resources needed:Differentiated SheetsTeaching Slides

Vocabulary:Fraction, percentage, convert, equivalent, denominator, numerator

It is important that children understand that ‘percent’ means ‘out of 100’. Children will be familiar with converting some common fractions from their work in Year 5. They learn to convert fractions to equivalent fractions where the denominator is 100 in order to find the percentage equivalent.

Key Questions: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?

Children will convert fractions using the denominator 100 into percent and percent into fractions.

Children will convert fractions with different denominators into percent and percent into fractions.

Children will convert trickierfractions with different denominators into percent and percent into fractions.

Reasoning & Problem Solving

Working Towards Working Within Greater Depth


Fluency & Precision

Fraction Percentage

25%

25%

10%

6Fractions to Percentages

What fraction of each hundred square is shaded? Write the fractions as percentages.

Fraction Percentage

14%

33%

12%

Complete the table.

Fill in the missing numbers.

=5030

1001005

= %

25

= %100

= 45%

= 25%10022

= %=5012

100= %

10014

10027

10079

21

51


Fluency & Precision

Fraction Percentage

25%

50%

25%

20%

10%

6AnswersFractions to Percentages


Fraction Percentage

14%

27%

33%

79%

12%

60

Complete the table.


=5030

1001005

= %

25

= %100

= 45%60

545

= 25%100 100

22= %2224=

5012

100= %

24

10014

10027

10033

10079

10012

60% 80%

21

51

10025

10025

10010


Fluency & Precision

Fraction Percentage



Fraction Percentage

88%

94%

Complete the table.


=2016

10010089

= %

33

= %100

= 87%

= 66%5039

= %=2523

100= %

5013

5034

2520

204

2513

53

43

257


Fluency & Precision

Fraction Percentage

20%

52%

60%

75%

28%



Fraction Percentage

26%

88%

68%

94%

80%

80

Complete the table.


=2016

10010089

= %

33

= %100

= 87%80

8987

= 66%50 50

39= %7892=

2523

100= %

92

5013

10088

5034

10094

2520

64% 25%

204

2513

53

43

257


Fluency & Precision

Fraction in lowest terms

Percentage

84%




Percentage

65%

56%

Complete the table.


5037

2519

2516

41

53

109

52

=104

1005041

= %

7

= %50

= 62%

= 35%2519

= %=2018

100= %


Fluency & Precision


Percentage

25%

60%

84%

90%

40%




Percentage

74%

65%

76%

56%

64%

40

Complete the table.


=104

1005041

= %

7

= %50

= 62%40

8231

= 35%20 25

19= %7690=

2018

100= %

90

5037

2013

2519

2514

2516

52% 68%

41

53

109

52

2521






Fractions to Percentages 6

In a Maths test, Zach answered 72% of the questions correctly.

Tia answered of the questions correctly.

Who answered more questions correctly?

Explain your answer. Malachi thinks that 24% of the grid has been shaded.

Leanna thinks that 48% of the grid has been shaded.

Who do you agree with? Explain your reasoning.

100

88




Explain your answer. Malachi thinks that 24% of the grid has been shaded.



100

88





6Answers

Answers

Fractions to Percentages


Tia answered more questions correctlybecause as a percentage is 88% and this is

greater than 72%.




Explain your answer.

Malachi thinks that 24% of the grid has been shaded.



Leanna is correct because .

100

88

10048

5024

=100

88

Tia answered more questions correctlybecause as a percentage is 88% and this is

greater than 72%.








Leanna is correct because .

100

88

10048

5024

=100

88










Explain your answer.Malachi thinks that 52% of the grid has

been shaded.






Explain your answer.Malachi thinks that 52% of the grid has

been shaded.



25

18

25

18





6Answers

Answers



Zach answered more questions correctlybecause as a percentage is 72% and this is

less than 73%.








Malachi is correct because .10052

5026

=

Zach answered more questions correctlybecause as a percentage is 72% and this is

less than 73%.








Malachi is correct because .

25

18

10052

5026

=25

18

25

18

25

18









Rosie answered of the questions correctly.





Esin thinks that 52% of the grid has been shaded.


50

44

10

9










50

44

10

9





6Answers

Answers












Esin is correct because .

50

44

10052

2513

=

10

9

Rosie answered more questions correctly because as a percentage is 90% and as a

percentage is 88%. 90% is greater than 88% and 87%.










Esin is correct because .

50

44

10052

2513

=

10

9

10

9

50

44

Rosie answered more questions correctly because as a percentage is 90% and as a

percentage is 88%. 90% is greater than 88% and 87%.

10

9

50

44

reasoning & problem solving€¦ · fractions to percentages fluency & precision 6 lesson 1...

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