Squares and cubes to 20
Every square and every cube from 1 to 20, side by side. The table the prime chart and the factors chart both lean on and neither one prints.
Reference chart
Squares and cubes to 20
| Number | n² | n³ |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 4 | 8 |
| 3 | 9 | 27 |
| 4 | 16 | 64 |
| 5 | 25 | 125 |
| 6 | 36 | 216 |
| 7 | 49 | 343 |
| 8 | 64 | 512 |
| 9 | 81 | 729 |
| 10 | 100 | 1,000 |
| 11 | 121 | 1,331 |
| 12 | 144 | 1,728 |
| 13 | 169 | 2,197 |
| 14 | 196 | 2,744 |
| 15 | 225 | 3,375 |
| 16 | 256 | 4,096 |
| 17 | 289 | 4,913 |
| 18 | 324 | 5,832 |
| 19 | 361 | 6,859 |
| 20 | 400 | 8,000 |
What's on this chart
The factors chart says 36 is 1, 2, 3, 4, 6, 9, 12, 18, and 36. The prime chart says 36 is not prime. Neither says the thing a child checking a right triangle or simplifying a square root needs, which is that 36 is six sixes — and until squares are recognized on sight, every one of those questions starts with a multiplication that has nothing to do with what was being asked.
Why this chart helps
Recognizing them is what the chart is for, and the range is chosen for that. Squares to 400 cover every Pythagorean triple a child will meet, every perfect square inside a fraction worth simplifying, and the whole of the area work that comes with them. Cubes climb far faster — 2, 8, 27, 64 — and by 20 they are in the thousands, which is itself worth a child's attention.
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