Compound Measures

March 12, 2023

Scheme of work: GCSE Foundation: Year 10: Term 4: Compound Measures

Prerequisite Knowledge

know and apply formulae to calculate:
rectangles
rectilinear composite shapes
area of triangles
volume of cuboids
use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money, etc.)

Success Criteria

use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate
round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures)
change freely between related standard units (e.g. time, length, area, volume/capacity, mass) and compound units (e.g. speed, rates of pay, prices, density, pressure) in numerical and algebraic contexts
use compound units such as speed, rates of pay, unit pricing, density and pressure

Key Concepts

It is useful to calculate compound measures through the unitary method where ratios are in form 1 : n.
Distance â€“ Time graphs can be extended to Speed-Time/Acceleration-Time graphs.
Use algebraic techniques to manipulate the various formulae so that other measures can also be found.

Common Misconceptions

Density, pressure and time do not have to have fixed units. For instance, a speed can be m/s or mph; density can be g/cm3 or kg/3.
Students often have difficulty remembering which measure to divide by. The speed, pressure and density triangles are helpful to recall the relationship between the various measures.

Compound Measures Resources

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