Myths about teaching can hold you back
- Year 8
Securing understanding of percentages
I can manipulate percentages of an amount with a representation.
- Year 8
Securing understanding of percentages
I can manipulate percentages of an amount with a representation.
Lesson details
Key learning points
- Percentages of amounts can be found by combining known percentages
- Percentages of amounts can be represented and found using a bar model
- Percentages of amounts can be represented and found using double number lines
- Percentages of amounts can be represented and found using ratio tables
Keywords
Proportion - Variables are in proportion if they have a constant multiplicative relationship.
Equivalent fractions - Two fractions are equivalent if they have the same value.
Common misconception
When finding 10% we divide by 10, so when finding 5% we divide by 5.
Use a bar model to show the division of 10 means one tenth of the amount. When dividing by 5 it means one fifth has been found.
To help you plan your year 8 maths lesson on: Securing understanding of percentages, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Securing understanding of percentages, 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.
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Prior knowledge starter quiz
6 Questions
Q1.Proportionality means two variables have a constant __________ relationship so the variables are in proportion to each other.
Q2.40% of 440 is .
Q3.1% of 780 is .
Q4.Which of the following are correct strategies to find 75% of 200?
Q5.Match each percentage question to its answer.
15% of 700 -
105
25% of 600 -
150
20% of 800 -
160
90% of 140 -
126
35% of 900 -
315
1% of 6000 -
60
Q6.Starting with the calculation with the largest answer, put these percentage calculations in descending order.
Assessment exit quiz
6 Questions
Q1. __________ means two variables have a constant multiplicative relationship.
Q2.Match each representation of proportion to its advantages.
Bar model -
Good visual representation. Bars can be split in any way needed.
Double number line -
Good visual representation with scaled lines.
Ratio table -
Concise without visual representation and quick to construct.
Q3.What percentage of 800 is represented by the calculation: 800 ÷ 2 − 8?
Q4.What percentage of 650 is represented by the calculation: 650 − 6.5?
Q5.Use the double number line to work out 45% of 700.
Q6.Using the ratio table or another representation, work out 98% of 860.
