Represent a square number | Maths | Quizalize & Oak National Academy

Starter quiz

What calculation does this array show?

4 × 7 ✓

4 + 7

7 × 4 ✓

4 × 8
Match the sequence to the number which will go next in the sequence.

12, 18, 24, 30

⇔

36 ✓

21, 28, 35, 42

⇔

49 ✓

45, 40, 35, 30

⇔

25 ✓

45, 54, 63, 72

⇔

81 ✓
Match the parts of the sentences correctly.

Odd factor × even factor =

⇔

even product ✓

Even factor × even factor =

⇔

even product ✓

Odd factor × odd factor =

⇔

odd product ✓
Without calculating, will this equation produce an odd or even product? 24 × 8 =

Odd

Even ✓
True or false? The products in the 7 times tables will always be even.

True
False ✓
When the rabbit catches the star, it becomes 7 times the size. What is the new height of the rabbit? ______ cm

'49' ✓

Exit quiz

This array shows the equation 4 × 4 When both factors have the same value, the product is __________ number.

an odd

a square ✓

an even
What expression does this square array show?

4 × 4

4 × 5

5 × 5 ✓

6 × 5
What is the next square number expression in this sequence, shown by the last array?

3 × 3

4 × 4 ✓

5 × 5
Look at this image. What does the little 2 written above the number mean?

Multiply the number by 2

Add 2 to the number

Multiply the number by itself ✓
Match the expression to the correct square number product.

2²

⇔

4 ✓

3²

⇔

9 ✓

4²

⇔

16 ✓

5²

⇔

25 ✓
Match the start and the end of the sentence correctly.

Squaring an odd number =

⇔

an odd product ✓

Squaring an even number =

⇔

an even product ✓

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

A square number of objects can be arranged into a square array.
A square number can be represented as the product of two factors which are the same.
When both factors have the same value, the product is called a square number.

Common misconception

Pupils might think that a square number is simply any number or a number multiplied by 2

Remind children that a square number is the product of a number multiplied by itself (e.g., 4 × 4 = 16). Take time to use square arrays to demonstrate this.

Keywords

Square number - A square number is the result of multiplying a whole number (not a fraction) by itself.
Square array - A square array is a group of objects arranged in rows and columns where the number of rows is the same as the number of columns, making a square.