Mathematics·Ratio & Proportion·procedural
Compound Units
Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units
Suggested ages 11–14
Evidence of understanding
- Calculate average speed given distance and time, converting between km/h and m/s if needed
- Compare unit prices of two products sold in different quantities to find the better deal
- Use the density formula to find mass, volume, or density given the other two values
Assessment prompt
If a car travels 150 miles in 2.5 hours, can Compound Units work out its average speed — and use the same idea to solve problems about price per kilogram or density of a material?
Standards alignment
6.RP.3bUS · ccss-math
Solve Unit Rate Problems
Common Core State Standards for Mathematics · 6
7.RP.1US · ccss-math
Compute unit rates associated with ratios of fractions
Common Core State Standards for Mathematics · 7
KS3.Maths.Ratio.10GB · uk-nc-2013
Compound Units
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3