Solve problems where the known percentage part and size represents a change to the whole
I can solve percentage problems where the whole is changed.
Solve problems where the known percentage part and size represents a change to the whole
I can solve percentage problems where the whole is changed.
These resources will be removed by end of Summer Term 2025.
Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.
These resources were created for remote use during the pandemic and are not designed for classroom teaching.
Lesson details
Key learning points
- Identify the part and how it relates to the whole.
- If the percentage part is a factor of 100, you can multiply the other part to calculate the whole.
- If the percentage part is not a factor of 100, you can use division and multiplication to calculate the whole.
Keywords
Percentage - A percentage is a proportion of a whole.
Common misconception
Pupils may make mistakes in the second cycle, where they find the whole after a percentage change. They may think the part given (e.g. the new cost) is represented by the percentage change.
Use bar models to help make it clear that the price given is the part remaining after the percentage change. If pupils are struggling with this, simplify the problem by giving numbers easy to calculate with (e.g. 30% off; new price £7)
To help you plan your year 6 maths lesson on: Solve problems where the known percentage part and size represents a change to the whole, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Solve problems where the known percentage part and size represents a change to 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 2 maths lessons from the Understanding percentages unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
Loading...
Starter quiz
6 Questions
100% = 150
100% = 160
100% = 154
100% = 165
Exit quiz
6 Questions
is 80% of the original price.
is 60% of the original price.
is 70% of the original price.
is 85% of the original price.
