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- Year 6
Use knowledge of fraction-decimal-percentage conversions to solve problems in a range of contexts
I can use fraction, decimal and percentage conversions to solve problems.
- Year 6
Use knowledge of fraction-decimal-percentage conversions to solve problems in a range of contexts
I can use fraction, decimal and percentage conversions to solve problems.
Lesson details
Key learning points
- To convert from percent to a fraction, start by converting each percentage into a fraction with a denominator of 100
- Use factor pairs to help you identify the highest common factor.
- The percentage parts always add together to be equal to 100%
Keywords
Convert - Convert means to change from one form to another.
Percent - Percent means the number of parts in each hundred.
Percentage - A percentage is a proportion of a whole.
Common misconception
Pupils may find simplifying fractions difficult and understanding that they first need to identify the highest common factor.
Model writing out fraction pairs and finding the highest common factor. Have worked examples displayed for pupils to reference.
To help you plan your year 6 maths lesson on: Use knowledge of fraction-decimal-percentage conversions to solve problems in a range of contexts, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Use knowledge of fraction-decimal-percentage conversions to solve problems in a range of contexts, 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.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match the fractions that are equivalent.
$$ {30} \over {100} $$ -ย
$$ {3} \over {10} $$
$$ {60} \over {100} $$ -ย
$$ {6} \over {10} $$
$$ {80} \over {100} $$ -ย
$$ {8} \over {10} $$
$$ {40} \over {100} $$ -ย
$$ {4} \over {10} $$
Q2.Match the fraction to the correct percentage.
$$ {5} \over {10} $$ -ย
50%
$$ {85} \over {100} $$ -ย
85%
$$ {2} \over {10} $$ -ย
20%
$$ {44} \over {100} $$ -ย
44%
$$ {8} \over {10} $$ -ย
80%
Q3.What does the representation show?
Q4.Look at the image. What fractions does it show?
Q5.What is the missing denominator in this fraction?
Q6.60% of the one-hundred square is shaded. Tick the fractions that are equivalent to 60%
Assessment exit quiz
6 Questions
Q1.If a whole or 1 is represented then this is equal to %
Q2.Look at the image. True or false. $$ {5} \over {20} $$ = 25%
Q3.Jun has a bag of beads. $$ {8} \over {20} $$ of the beads are yellow. What percentage of the beads is this?
Q4.Match the percentages to an equivalent fraction.
60% -ย
$$ {3} \over {5} $$
30% -ย
$$ {3} \over {10} $$
75% -ย
$$ {3} \over {4} $$
Q5.Match the decimals and percentages that are equivalent.
0.45 -ย
45%
0.07 -ย
7%
0.7 -ย
70%
0.5 -ย
50%
Q6.Look at the sets of fractions, decimals and percentages. Which set is correct?