MA22-03 Maths Coming soon
Density: mass, volume and the direction of division
MA22-03
This lesson is coming soon.
In this lesson
Use density = mass / volume, built from the meaning of the unit rather than a memorised triangle, correctly deriving the volume of a compound or algebraic solid first where needed.
What it covers
- Build density = mass / volume directly from the meaning of the unit g/cm3 (grams per cubic centimetre), not from a memorised triangle
- Convert mass between kg and g correctly within a density calculation
- Derive the volume of a compound or algebraic solid (e.g. a cube with an algebraic edge length) as the necessary first step before dividing
- Choose the correct direction of division (mass divided by volume), and the correct operation when the formula is rearranged (e.g. mass = density x volume)
- Finish an 'is it made of X' style question with a stated numerical comparison and conclusion, not just the calculated density
Key words
For: Edexcel IGCSE 4MA1, AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| Edexcel IGCSE 4MA1 | F4.4G | Use compound measure such as speed, density and pressure |
| AQA GCSE 8300 | N13 | Use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate |
| AQA GCSE 8300 | R11 | Use compound units such as speed, rates of pay, unit pricing |
| 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 GCSE 1MA1 | R11 | Use compound units such as speed, rates of pay, unit pricing, density and pressure |
| 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 |
| Eduqas GCSE C300 | FR12 | Use compound units such as speed, rates of pay, unit pricing, density and pressure |
| Eduqas GCSE C300 | FR2 | Understand the concept of density and be able to use the relationship between density, mass and volume; understand the concept of pressure and be able to use the relationship between pressure, force and area |
| Eduqas GCSE C300 | HR12 | Use compound units such as speed, rates of pay, unit pricing, density and pressure |
| Eduqas GCSE C300 | HR2 | Understand the concept of density and be able to use the relationship between density, mass and volume; understand the concept of pressure and be able to use the relationship between pressure, force and area |
| OCR GCSE J560 | 10.01b | Use and convert simple compound units (e.g. for speed, rates of pay, unit pricing). Know and apply in simple cases: speed = distance ÷ time |
| Cambridge IGCSE 0580 | C1.12 | Use common measures of rate. |
| Cambridge IGCSE 0580 | E1.12 | Use common measures of rate. |
For teachers
This GCSE Maths lesson teaches density: mass, volume and the direction of division. By the end, students should be able to use density = mass / volume, built from the meaning of the unit rather than a memorised triangle, correctly deriving the volume of a compound or algebraic solid first where needed. It works through three worked examples and the mistakes examiners report.