Checking and securing understanding of finding a percentage
Lesson details
Learning outcome
I can describe one number as a percentage of another and calculate a given percentage of an amount efficiently.
Key learning points
- Percentages can be written as a fraction out of 100
- One number can be written as a fraction of another.
- Representations can support the finding a percentage of a quantity.
- A percentage can be written as a decimal called a multiplier.
- This multiplier can be used to find a percentage of an amount.
Keywords
Equivalent fractions - Two fractions are equivalent if they have the same value.
Common misconception
A single digit percentage is incorrectly worked out by dividing by 10 and not 100 e.g 3% = 0.3
Two responses can be used to remind students that to covert a percentage into a decimal; we divide by 100; using 3%, ask what 30% is as a decimal and 3% as a decimal. Pupils realise they cannot be the same. A place value chart also helps.
Teacher tip
Using a multiplier is a more effective way to calculate a percentage of an amount. Can they write the calculation to work out 35% of 23% of 11% of 140? Alternatively, can they write a question for the calculation 0.62 x 0.78 x 0.56 x 950?
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Find 10% of 26
Q2.Find 50% of 48
Q3.Find 20% of 45
Q4.Find 1% of 60
Q5.If £4 is 20% of what I have, how much do I have overall?
Q6.If £5 is 2% of the money I have, how much money do I have altogether?
Assessment exit quiz
6 Questions
Q1.Write 42 as a percentage of 200
Q2.Write 90 as a percentage of 225
Q3.Write 312 as a percentage of 120
Q4.Find 24% of 70
Q5.Find 14% of 125
Q6.Find 45% of 210
To help you plan your 10 maths lesson on: Checking and securing understanding of finding a percentage, 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 finding 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 4 maths lessons from the Percentages unit, dive into the full secondary maths curriculum, or learn more about lesson planning.