Determining the whole
I can determine the whole, given one part and the ratio.
Determining the whole
I can determine the whole, given one part and the ratio.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A bar model can help to represent the situation.
- A ratio table can also be used to help show the multiplicative relationship.
- Both representations help to expose the structure.
Keywords
Proportion - Variables are in proportion if they have a constant multiplicative relationship.
Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
Common misconception
Always dividing the amount by the sum of the 'parts' of the ratio to get one 'part'.
Offer opportunities to match problems to bar models, ensure the same numbers are used to highlight the differences.
To help you plan your year 7 maths lesson on: Determining the whole, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Determining the whole, 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: fractions and ratio unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Equipment
Licence
Starter quiz
6 Questions
Exit quiz
6 Questions
