Five pages for Year 5 on square and cube numbers. Page 1 shows squares of tiles from 3 by 3 to 8 by 8: children write each as a multiplication, as a number with a raised 2 and as its value. Page 2 does the same with cubes built from small cubes, 2 by 2 by 2 up to 5 by 5 by 5, then 1³, 6³ and 10³. Page 3 fills in a table of the square numbers to 12² and the cube numbers to 5³ and 10³, then writes products such as 9 × 9 with a raised 2 or 3 and ticks or crosses statements such as 4² = 8. Page 4 sorts sixteen numbers into square, cube, both or neither, then finds the square or cube number between two numbers. Page 5 works out calculations like 4² + 3² and 2³ × 5, then solves five short word problems.
Build squares from square tiles or counters and cubes from interlocking cubes: why is 3 × 3 called 3 squared, and 3 × 3 × 3 called 3 cubed? Ask which numbers are both a square and a cube (1 and 64). Page 5 gives a good talking point: Mia says 3² is 6. What has she done?
Look for squares and cubes around the house: a chessboard is 8² squares, a box of sugar cubes, a tiled floor. Ask your child to work out 6² or 4³ in their head, or to say whether 49 is a square number.
This pack supports the following Common Core State Standards for Mathematics:
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Square and cube numbers and how to write them with a small raised 2 or 3, as in 5² and 2³. Students count tiles and small cubes, fill in tables of squares and cubes, sort numbers into square, cube, both or neither and use squares and cubes in calculations and word problems.
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