Increase by a percentage
Lesson details
Learning outcome
I can calculate percentage changes (increase).
Key learning points
- A bar model can be used to find a percentage increase.
- A double number line can be used to find a percentage increase.
- A ratio table can be used to find a percentage increase.
Keywords
Proportionality - If two things are proportional then the ratio of part to whole is maintained and the multiplicative relationship between parts is also maintained.
Common misconception
A single digit percentage is incorrectly worked out by dividing by 10 and not 100 e.g 3% = 0.3. This error continues when increasing amounts e.g increase 40 by 3% has a multiplier of 1.3
Remind pupils that to covert a percentage into a decimal we divide by 100. This applies with increase too e.g 120% has a multiplier of 1.2
Teacher tip
Using mini-whiteboards, for example, students must draw the same question but illustrated in different ways; ratio table, double number line or bar model. E.g Increase 800 by 55%. They can then decide which representation they prefer. Look out for efficient approaches e.g 50% + 5%
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match each percentage statement to its value.
Q2.22% of 84 is .
Q3.31% of 750 is .
Q4.Which of the following calculations is equivalent to 12% of 300?
Q5.Match each calculation with the correct percentage statement.
Q6.19% of 84 is .
Assessment exit quiz
6 Questions
Q1.Increase 400 by 20%.
Q2.Increase 70 by 30%.
Q3.Match each percentage increase question with an equivalent question.
Q4.Match each statement with the correct multiplier.
Q5.139% of 600 is .
Q6.Increase 800 by 11% and then by 10%.
To help you plan your 8 maths lesson on: Increase by a percentage, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 8 maths lesson on: Increase by a percentage, 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 3 maths lessons from the Understanding multiplicative relationships: percentages and proportionality unit, dive into the full secondary maths curriculum, or learn more about lesson planning.