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MathematicsRatio & ProportionAges 11–14

Compound Units

Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units

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A compound unit combines two measurements, such as km/h, dollars per item, or grams per millilitre. Divide the first quantity by the second and keep both units.

Solve one speed, unit-price, and density problem from supplied metric data.

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Check 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
“If a car travels 150 miles in 2.5 hours, can your child work out its average speed — and use the same idea to solve problems about price per kilogram or density of a material?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Ratio & Proportion
Age range
Ages 11–14

Standards

ccss-math:6.RP.3bccss-math:7.RP.1uk-nc-2013:KS3.Maths.Ratio.10