Checking and securing understanding of percentage increase
Lesson details
Learning outcome
I can increase an amount by a given percentage.
Key learning points
- In all of these representations a single multiplier can be used to find a percentage increase.
- Representation can help when you are not using a calculator.
- A multiplier is significantly faster when using a calculator.
- To increase, you are going above the original amount.
Keywords
Proportion - 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, pupils draw a 3 x 6 table with the following columns: original amount, percentage increase and new amount. For each row, they only fill in 2 pieces of information. They swap boards and their peer must work out the missing value. Return the MWB back for checking.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Write 24 as a percentage of 400
Q2.Write 18 as a percentage of 150
Q3.Find 24% of 70
Q4.Find 60% of 90
Q5.Write 65 as a percentage of 500
Q6.Find 216% of 856
Assessment exit quiz
6 Questions
Q1.Increase 250 by 5%
Q2.Increase 250 by 6.4%
Q3.Increase 500 by 0.71%
Q4.A mathematician celebrates her shares increasing by 6.5%. They are now worth £426.00. How much did she originally invest?
Q5.If a number increases by 12% and is now 588, what was it originally?
Q6.If a number increases by 26% and is now 77, what was it originally to 1 d.p.?
To help you plan your 10 maths lesson on: Checking and securing understanding of percentage increase, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 10 maths lesson on: Checking and securing understanding of percentage increase, 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 4 maths lessons from the Percentages unit, dive into the full secondary maths curriculum, or learn more about lesson planning.