reasoning & problem solving€¦ · fractions to percentages fluency & precision 6 lesson 1...
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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
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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
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Fluency & Precision
Fraction Percentage
25%
50%
25%
20%
10%
6AnswersFractions to Percentages
What fraction of each hundred square is shaded? Write the fractions as percentages.
Fraction Percentage
14%
27%
33%
79%
12%
60
Complete the table.
Fill in the missing numbers.
=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
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Fluency & Precision
Fraction Percentage
6Fractions to Percentages
What fraction of each hundred square is shaded? Write the fractions as percentages.
Fraction Percentage
88%
94%
Complete the table.
Fill in the missing numbers.
=2016
10010089
= %
33
= %100
= 87%
= 66%5039
= %=2523
100= %
5013
5034
2520
204
2513
53
43
257
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Fluency & Precision
Fraction Percentage
20%
52%
60%
75%
28%
6AnswersFractions to Percentages
What fraction of each hundred square is shaded? Write the fractions as percentages.
Fraction Percentage
26%
88%
68%
94%
80%
80
Complete the table.
Fill in the missing numbers.
=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
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Fluency & Precision
Fraction in lowest terms
Percentage
84%
6Fractions to Percentages
What fraction of each hundred square is shaded? Write the fractions as percentages.
Fraction in lowest terms
Percentage
65%
56%
Complete the table.
Fill in the missing numbers.
5037
2519
2516
41
53
109
52
=104
1005041
= %
7
= %50
= 62%
= 35%2519
= %=2018
100= %
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Fluency & Precision
Fraction in lowest terms
Percentage
25%
60%
84%
90%
40%
6AnswersFractions to Percentages
What fraction of each hundred square is shaded? Write the fractions as percentages.
Fraction in lowest terms
Percentage
74%
65%
76%
56%
64%
40
Complete the table.
Fill in the missing numbers.
=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
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Reasoning & Problem Solving
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Reasoning & Problem Solving
6Fractions to Percentages
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
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
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Reasoning & Problem Solving
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Reasoning & Problem Solving
6Answers
Answers
Fractions to Percentages
Fractions to Percentages 6
Tia answered more questions correctlybecause as a percentage is 88% and this is
greater than 72%.
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.
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%.
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.
Leanna is correct because .
100
88
10048
5024
=100
88
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Reasoning & Problem Solving
masterthecurriculum.co.uk
Reasoning & Problem Solving
6Fractions to Percentages
Fractions to Percentages 6
In a Maths test, Zach answered 73% of the questions correctly.
Tia answered of the questions correctly.
Who answered more questions correctly?
Explain your answer.Malachi thinks that 52% of the grid has
been shaded.
Leanna thinks that 26% of the grid has been shaded.
Who do you agree with? Explain your reasoning.
In a Maths test, Zach answered 73% of the questions correctly.
Tia answered of the questions correctly.
Who answered more questions correctly?
Explain your answer.Malachi thinks that 52% of the grid has
been shaded.
Leanna thinks that 26% of the grid has been shaded.
Who do you agree with? Explain your reasoning.
25
18
25
18
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Reasoning & Problem Solving
masterthecurriculum.co.uk
Reasoning & Problem Solving
6Answers
Answers
Fractions to Percentages
Fractions to Percentages 6
Zach answered more questions correctlybecause as a percentage is 72% and this is
less than 73%.
In a Maths test, Zach answered 73% of the questions correctly.
Tia answered of the questions correctly.
Who answered more questions correctly?
Explain your answer.
Malachi thinks that 52% of the grid has been shaded.
Leanna thinks that 26% of the grid has been shaded.
Who do you agree with? Explain your reasoning.
Malachi is correct because .10052
5026
=
Zach answered more questions correctlybecause as a percentage is 72% and this is
less than 73%.
In a Maths test, Zach answered 73% of the questions correctly.
Tia answered of the questions correctly.
Who answered more questions correctly?
Explain your answer.
Malachi thinks that 52% of the grid has been shaded.
Leanna thinks that 26% of the grid has been shaded.
Who do you agree with? Explain your reasoning.
Malachi is correct because .
25
18
10052
5026
=25
18
25
18
25
18
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Reasoning & Problem Solving
masterthecurriculum.co.uk
Reasoning & Problem Solving
6Fractions to Percentages
Fractions to Percentages 6
In a Maths test, Zach answered 87% of the questions correctly.
Tia answered of the questions correctly.
Rosie answered of the questions correctly.
Who answered more questions correctly?
Explain your answer.
Malachi thinks that 13% of the grid has been shaded.
Leanna thinks that 26% of the grid has been shaded.
Esin thinks that 52% of the grid has been shaded.
Who do you agree with? Explain your reasoning.
50
44
10
9
In a Maths test, Zach answered 87% of the questions correctly.
Tia answered of the questions correctly.
Rosie answered of the questions correctly.
Who answered more questions correctly?
Explain your answer.
Malachi thinks that 13% of the grid has been shaded.
Leanna thinks that 26% of the grid has been shaded.
Esin thinks that 52% of the grid has been shaded.
Who do you agree with? Explain your reasoning.
50
44
10
9
masterthecurriculum.co.uk
Reasoning & Problem Solving
masterthecurriculum.co.uk
Reasoning & Problem Solving
6Answers
Answers
Fractions to Percentages
Fractions to Percentages 6
In a Maths test, Zach answered 87% of the questions correctly.
Tia answered of the questions correctly.
Rosie answered of the questions correctly.
Who answered more questions correctly?
Explain your answer.
Malachi thinks that 13% of the grid has been shaded.
Leanna thinks that 26% of the grid has been shaded.
Esin thinks that 52% of the grid has been shaded.
Who do you agree with? Explain your reasoning.
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%.
In a Maths test, Zach answered 87% of the questions correctly.
Tia answered of the questions correctly.
Rosie answered of the questions correctly.
Who answered more questions correctly?
Explain your answer.
Malachi thinks that 13% of the grid has been shaded.
Leanna thinks that 26% of the grid has been shaded.
Esin thinks that 52% of the grid has been shaded.
Who do you agree with? Explain your reasoning.
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