Advanced problem solving with percentages
I can use my knowledge of percentages to solve problems.
Advanced problem solving with percentages
I can use my knowledge of percentages to solve problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A context can be evaluated to determine what sort of percentage calculation is involved.
- As percentages can be written as fractions and decimals, they are very versatile.
- Percentage change is not just connected to money.
Keywords
Simple interest - Simple interest is always calculated on the original amount.
Compound interest - Compound interest is the interest calculated on the original amount and the interest accumulated over the previous period.
Exponential form - When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
Common misconception
Assuming that an increase of 10% followed by a decrease of 10% takes you back to 100%, etc.
Provide plenty of examples to illustrate the structure of what happens. If you increase a number by a percentage the number will increase meaning that you will be finding 10% of a larger number and hence decrease by more.
To help you plan your year 10 maths lesson on: Advanced problem solving with percentages, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Advanced problem solving with 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 4 maths lessons from the Percentages unit, dive into the full secondary maths curriculum, or learn more about lesson planning.