Mathematics Class 8
A Square and A Cube
Find square and cube numbers, their roots from primes, and which count a job wants.
15 lessons · ~96 min total
Track progress — 0 of 15 lessons read 0%
Lessons in this topic
- 0 Start here A roadmap: square numbers, cube numbers, their roots, and which count a job needs. · 4 min You are here
- 1 A number you can draw as a square A square number is the tile count of a square. We write it with a small raised 2. · 6 min
- 2 Each new layer is the next odd number Growing a square by one tile adds an L-shaped layer. The layers are the odd numbers in order. · 6 min
- 3 A test that can only say no The last digit can prove a number is not a square. It can never prove that it is. · 7 min
- 4 Going back to the side you started from A square root is the side of a square. It undoes squaring, not halving. · 6 min
- 5 Pairing the primes finds the side Break a number into primes, pair them up, keep one from each pair. That gives the root. · 7 min
- 6 Checkpoint: squares, the staircase and roots A graded check on the first five ideas. · 6 min
- 7 When no whole number fits Most numbers are not squares. Their side sits between two whole numbers we can name. · 6 min
- 8 A cube number counts real cubes Stack unit cubes into a cube. The count is a cube number, written with a small raised 3. · 7 min
- 9 What cubes end in, and what they add up to Cubes end in every digit. Groups of consecutive odd numbers add up to cubes. · 7 min
- 10 Grouping the primes in threes Group the primes in threes to find the edge of a cube. · 7 min
- 11 Which count is the job asking for Covering a square patch needs a square count. Filling a cube-shaped space needs a cube count. · 6 min
- 12 Checkpoint: in between, cubes and cube roots A graded check on the second five ideas. · 6 min
- 13 The big picture Ten ideas, tied back together. · 6 min
- 14 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 9 min
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