Converting between other compound measures
I can convert between other compound measures.
Converting between other compound measures
I can convert between other compound measures.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- The units for density can be converted to alternative units.
- The units for pressure can be converted to alternative units.
Keywords
Pressure - Pressure is the perpendicular force applied to the surface of an object per unit area over which that force is distributed.
Density - The density of a substance is measured as the substance's mass per unit of volume.
Common misconception
Pupils understand they multiply by 100 when converting m to cm, but when converting m^2 to cm^2, fail to recognise the need to multiply by 100^2. This is also the same with volume conversions.
Illustrate a 1m^2 square and the equivalent 100cm^2 square, calculating the area and allowing pupils to see the equivalence of 1 m^2 = 10 000 cm^2. Also apply this to a 1m^3 and 100cm^3, thus allowing students to see 1m^2 = 100 000 cm^3.
To help you plan your year 11 maths lesson on: Converting between other compound measures, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Converting between other compound measures, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Compound measures unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
27 cm$$^3$$ -
A 3 cm by 3 cm by 3 cm cube.
8 cm$$^3$$ -
A 2 cm by 2 cm by 2 cm cube.
1 000 cm$$^3$$ -
A 10 cm by 10 cm by 10 cm cube.
6 cm$$^3$$ -
A 1 cm by 2 cm by 3 cm cuboid.
9 cm$$^3$$ -
A 2 cm by 4.5 cm by 1 cm cuboid.
Cube with length 4 cm -
Volume of cube = 64 cm$$^3$$
Cube with length 3 cm -
Volume of cube = 27 cm$$^3$$
Cube with length 5 cm -
Volume of cube = 125 cm$$^3$$
Cube with length 1 mm -
Volume of cube = 1 mm$$^3$$
Cube with length 4 mm -
Volume of cube = 64 mm$$^3$$
Exit quiz
6 Questions
2 cm$$^2$$ -
200 mm$$^2$$
2 m$$^2$$ -
20 000 cm$$^2$$
2 km$$^2$$ -
2 000 000 m$$^2$$
2 000 000 mm$$^2$$ -
2 m$$^2$$
6 cm$$^3$$ -
6 000 mm$$^3$$
6 000 000 cm$$^3$$ -
6 m$$^3$$
6 km$$^3$$ -
6 000 000 000 m$$^3$$
60 cm$$^3$$ -
60 000 mm$$^3$$
6 m$$^3$$ -
6 000 000 000 mm$$^3$$
This doubles the density. -
Mass = $$M$$ kg and the Volume = $$\frac{1}{2} V$$ m$$^3$$
This halves the density. -
Mass = $$M$$ kg and the Volume = $$2 V$$ m$$^3$$
This quadruples the pressure. -
Force = $$4 N$$ newtons is applied to an an Area = $$A$$ m$$^2$$
This quarters the pressure. -
Force = $$N$$ newtons is applied to an an Area = $$4A$$ m$$^3$$