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- Year 6
Explain how to convert percentages to decimals and fractions with a denominator of 100
I can convert percentages to decimals and fractions with a denominator of 100
- Year 6
Explain how to convert percentages to decimals and fractions with a denominator of 100
I can convert percentages to decimals and fractions with a denominator of 100
Lesson details
Key learning points
- Percentages can be written as fractions with a denominator of 100
- Percentages can be written as decimal numbers.
- Percentages that are multiples of 10 are usually written to one decimal place (e.g. 90% is equal to 0.9)
Keywords
Percent - Percent means the number of parts in each hundred.
Percentage - A percentage is a proportion of a whole.
Common misconception
Pupils may make mistakes when writing single-digit percentages as a decimal number (e.g. 3%).
Remind pupils that percentages are recorded as hundredths. Where is the hundredths column in a decimal number? Writing measurements where one unit is a hundredth of another (e.g. number of pence as a percentage of a pound) may help reinforce this.
To help you plan your year 6 maths lesson on: Explain how to convert percentages to decimals and fractions with a denominator of 100, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Explain how to convert percentages to decimals and fractions with a denominator of 100, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Understanding percentages unit, dive into the full primary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Find one-half of these numbers.
One-half of 100 -
50
One-half of 50 -
25
One-half of 30 -
15
One-half of 98 -
49
Q2.Find one-quarter of these numbers.
One-quarter of 24 -
6
One-quarter of 60 -
15
One-quarter of 88 -
22
One-quarter of 100 -
25
Q3.A whole has been divided into 10 equal parts. Each part is one- of the whole.
Q4.Percent means the number of parts in each 100 Match the number of parts to the correct percentage.
27% -
27 parts out of 100
55% -
55 parts out of 100
39% -
39 parts out of 100
82% -
82 parts out of 100
Q5.Match the fraction to the decimal number.
one-tenth -
0.1
$$ {4} \over {10} $$ -
0.4
eight-tenths -
0.8
$$ {7} \over {10} $$ -
0.7
Q6.Match the decimal number to the letter on this number line.
A -
0.2
B -
0.9
C -
0.4
D -
0.6
Assessment exit quiz
6 Questions
Q1.Match the fraction to the correct percentage.
$$ {30} \over {100} $$ -
30%
$$ {80} \over {100} $$ -
80%
$$ {10} \over {100} $$ -
10%
$$ {45} \over {100} $$ -
45%
$$ {95} \over {100} $$ -
95%
Q2.Look at the number of squares that are shaded in this representation. Which statement is true?
Q3.What is the missing numerator in this fraction that is equal to 71%?
Q4.Match the decimal number to the equivalent fraction or percentage.
$$ {7} \over {100} $$ -
0.07
71% -
0.71
$$ {68} \over {100} $$ -
0.68
33% -
0.33
Q5.Match the percentage to the correct decimal number.
50% -
0.5
70% -
0.7
20% -
0.2
90% -
0.9
30% -
0.3
Q6.What does the representation show?
