MA22-01 Maths Coming soon
Convert between standard and compound units
MA22-01
This lesson is coming soon.
In this lesson
Convert freely between related standard units and compound units, keeping the unit label separate from the number used in the calculation.
What it covers
- Convert between related standard metric units (length, mass, volume/capacity, area, time) using the correct multiply/divide direction
- Convert compound-unit labels (e.g. g/cm3 to kg/m3, km/h to m/s) by converting both parts of the unit consistently
- Cube (not just multiply) the linear conversion factor when converting a unit of volume (e.g. cm3 to m3)
- Recognise index/unit notation (e.g. the 3 in cm3) as part of the unit label, never a number to bring into the calculation
- Apply a unit conversion within an algebraic expression or formula
- Finish a multi-step conversion in the exact unit the question asked for, not an intermediate one
Key words
For: AQA GCSE 8300, Cambridge IGCSE 0580, Edexcel GCSE 1MA1, Edexcel IGCSE 4MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | R1 | Change freely between related standard units (eg time, length, area, volume/capacity, mass) and compound units (eg speed, rates of pay, prices) in numerical contexts |
| AQA GCSE 8300 | G14 | Use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money etc.) |
| AQA GCSE 8300 | N13 | Use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate |
| Cambridge IGCSE 0580 | C5.1 | Use metric units of mass, length, area, volume and capacity in practical situations and convert quantities into larger or smaller units. |
| Cambridge IGCSE 0580 | E5.1 | Use metric units of mass, length, area, volume and capacity in practical situations and convert quantities into larger or smaller units. |
| Edexcel GCSE 1MA1 | R1 | 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 |
| Edexcel GCSE 1MA1 | G14 | Use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money, etc.) |
| Edexcel GCSE 1MA1 | N13 | Use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate |
| Edexcel IGCSE 4MA1 | F4.9A | Convert measurements within the metric system to include linear and area units |
| Edexcel IGCSE 4MA1 | F4.10F | Convert between units of volume within the metric system |
| Edexcel IGCSE 4MA1 | F1.10B | Carry out calculations using standard units of mass, length, area, volume and capacity |
| Eduqas GCSE C300 | FR1 | 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 |
| Eduqas GCSE C300 | HR1 | 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 |
| Eduqas GCSE C300 | FG12 | Use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money, etc.) |
| Eduqas GCSE C300 | HG14 | Use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money, etc.) |
| Eduqas GCSE C300 | FN13 | Use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate |
| Eduqas GCSE C300 | HN13 | Use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate |
| OCR GCSE J560 | 10.01a | Use and convert standard units of measurement for length, area, volume/capacity, mass, time and money. |
For teachers
This GCSE Maths lesson teaches convert between standard and compound units. By the end, students should be able to convert freely between related standard units and compound units, keeping the unit label separate from the number used in the calculation. It works through three worked examples and the mistakes examiners report.