Best buys and exchange rates – Year 8 maths lesson
Lesson 34 of 35 in the Year 8 maths course
UK version. UK school years, UK spelling and pounds (£). · US Math Department
A complete 45-minute lesson for Year 8 (ages 12–13) that runs on this page – at school or at home. Every answer is marked straight away, with a worked explanation.
- Time
- 45 minutes + 20 min homework
- Year
- Year 8 (ages 12–13)
- You need
- Paper, a pencil and this page
- Marked
- Instantly, with explanations
For parents: how to use this lesson
You don't need to know this topic yourself. The lesson explains each step on screen, one tidy step at a time. Every answer is marked straight away with a worked explanation, so you never have to mark anything.
- Read what your child will learn and the big ideas together.
- Press Start the lesson below and sit with your child for the teaching and the worked examples (about 19 minutes).
- Let them do the practice on their own. They choose Getting started, On track or Challenge – start on On track and move up after a few right in a row.
- Finish with the exit ticket and the talk question: “Is the biggest pack always the best value? When might it not be?”
- Later that day or the next day: the homework (20 minutes), then a practice test.
Watch out for
- Thinking the bigger pack is always better value. Work out the price per gram for each.
- Multiplying when converting back the other way. Ask whether the answer should be bigger or smaller.
Tip for home: Find unit prices on shelf labels together next time you shop.
What your child will learn
We are learning to compare value for money and convert between currencies.
Success looks like
- I can find a unit price.
- I can decide which is the best buy.
- I can convert between currencies.
Key words
- best buy
- the option that gives most for the money
- unit price
- the cost of one unit
- exchange rate
- how much of one currency you get for one of another
- convert
- change to another unit
What to have ready
- Paper and a pencil
- This page on a computer, tablet or phone
- For the hands-on part: Compare two real pack sizes of the same food and find the price per 100 g.
The big ideas (for the adult)
To find the best buy, work out the price of one unit (per gram or per item) for each option, or the amount you get for one unit of money.
Make sure you compare the same units: change kilograms to grams if needed.
To convert money between currencies, multiply or divide by the exchange rate.
The lesson, step by step
| Part | Time | How it is checked |
|---|---|---|
| Starter: quick recall | 5 min | Marked by Classfern |
| Teaching input | 10 min | Not assessed, self-checked |
| Worked examples and guided practice | 9 min | Not assessed, marked by Classfern |
| Independent practice | 15 min | Marked by Classfern |
| Plenary and exit ticket | 6 min | Marked by Classfern, self-checked |
Starter, "your turn", practice and exit ticket are marked by Classfern. Worked examples and teaching are not assessed. The hands-on task and the reflection are self-assessed. Explanations in talk are judged by the parent and not recorded.
The lesson
It runs here on the page. No sign-up and no names – progress is kept only in this browser.
Homework and practice at home
20 minutes: 10 practice questions, 3 multiple-choice questions and 2 to remember from earlier work, then a short reflection. New questions every time, all marked instantly.
More practice
More Year 8 maths lessons
- Ordering numbers, decimals and negatives
- Calculating with negative numbers
- Prime factors, HCF and LCM
- Rounding and estimation
- Powers and roots
- Written methods with decimals
- BIDMAS: order of operations
- Calculating with fractions
- Units and measures
- Area of triangles, parallelograms and trapeziums
- Circles: circumference, area, arcs and sectors
- Angle facts and parallel lines
- Angles in polygons
- Transformations
- Quadrilaterals and symmetry
- Constructions and loci
- Averages and range
- Scatter graphs and correlation
- Probability
- Relative frequency and expected outcomes
- Algebraic notation
- Substitution
- Simplifying expressions
- Expanding brackets
- Solving linear equations
- Sequences and the nth term
- Straight-line graphs
- Graphs of functions
- Ratio
- One quantity as a fraction or percentage of another
- Percentages
- Direct and inverse proportion
- Speed, density and pressure
- Scale drawings and maps
Curriculum
National Curriculum for England, Year 8: “use standard units of mass, length, time, money and other measures, including with decimal quantities”
National Curriculum for England, Year 8: “use compound units such as speed, unit pricing and density to solve problems”
Contains public sector information licensed under the Open Government Licence v3.0.
Our lessons and questions are our own. They are not written or endorsed by any government department, testing agency or exam board.