Volume and Space
Length times width times height — how many cubes fit?
For grown-ups
- How long: 10 to 15 minutes is plenty. Short and frequent beats long and occasional — the early-numeracy trials with the largest effects ran eight weeks or less.
- When they get one wrong: the page shows the working. Read it together rather than moving straight on. Feedback that explains is worth several times more than feedback that only marks right or wrong, and that gap is wider in maths than in any other subject.
- Not timed: thinking time is the point of a book. Let silences run.
- Print it too: doing the same problems on paper a few days later is worth more than doing twice as many today.
What this practises
Finding the volume of a rectangular prism by counting or multiplying.
Volume extends the area model into a third dimension, reusing the multiplicative structure built in grades 3 and 4 rather than arriving as a new formula to memorise.
- The underlying idea
- Volume extends the area model into a third dimension.
- Where this sits in Illustrative Mathematics
- 5th grade Unit 1: Finding Volume
- Sources
- Illustrative Mathematics / Kendall Hunt (2024) · Fyfe et al. (2014) all references →
Related measured skill: ALPACA · Elementary operations. What this means