Square Numbers (Grades 5–6)
A square number is what you get by multiplying a whole number by itself: 1, 4, 9, 16, 25 (= 1×1, 2×2, 3×3, 4×4, 5×5). They're called "square" because that many dots form a perfect square. The gaps between them grow by the odd numbers (3, 5, 7, 9…), which is a neat pattern in its own right.
Understanding square numbers
A square number is what you get by multiplying a whole number by itself: 1, 4, 9, 16, 25 (= 1×1, 2×2, 3×3, 4×4, 5×5). They're called "square" because that many dots form a perfect square. The gaps between them grow by the odd numbers (3, 5, 7, 9…), which is a neat pattern in its own right.
Key Idea
A square number is what you get by multiplying a whole number by itself: 1, 4, 9, 16, 25 (= 1×1, 2×2, 3×3, 4×4, 5×5). They're called "square" because that many dots form a perfect square. The gaps between them grow by the odd numbers (3, 5, 7, 9…), which is a neat pattern in its own right.
Seeing it in action
Worked example
What is the 6th square number?
6 × 6 = 36.
A square number makes a square array.
Try a few
The 4th square number?
Is 49 a square number?
7 × 7.
Next square after 25?
Ready for the interactive lab?
Practice square numbers in Numeris with instant feedback.
Master it in the workbook.
The Patterns & Sequences workbook is currently in editorial review.
Coming SoonWant a printable set too?
Get the free Reasonwell sample pack while the math workbook line is coming soon.