New
New
Year 4

Represent a square number

I can represent a square number.

New
New
Year 4

Represent a square number

I can represent a square number.

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Lesson details

Key learning points

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

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.

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.

Use visual aids like dot arrays or tiles to physically create squares and identify square numbers. This will reinforce the understanding of a square number being a product of a number multiplied by itself.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
What calculation does this array show?
An image in a quiz
Correct answer: 4 × 7
4 + 7
Correct answer: 7 × 4
4 × 8
Q2.
Match the sequence to the number which will go next in the sequence.
Correct Answer:12, 18, 24, 30,36

36

Correct Answer:21, 28, 35, 42,49

49

Correct Answer:45, 40, 35, 30 ,25

25

Correct Answer:45, 54, 63, 72 ,81

81

Q3.
Match the parts of the sentences correctly.
Correct Answer:Odd factor × even factor =,even product

even product

Correct Answer:Even factor × even factor =,even product

even product

Correct Answer:Odd factor × odd factor =,odd product

odd product

Q4.
Without calculating, will this equation produce an odd or even product? 24 × 8 =
Odd
Correct answer: Even
Q5.
True or false? The products in the 7 times tables will always be even.
True
Correct answer: False
Q6.
When the rabbit catches the star, it becomes 7 times the size. What is the new height of the rabbit? cm
An image in a quiz
Correct Answer: 49

6 Questions

Q1.
This array shows the equation 4 × 4 When both factors have the same value, the product is __________ number.
An image in a quiz
an odd
Correct answer: a square
an even
Q2.
What expression does this square array show?
An image in a quiz
4 × 4
4 × 5
Correct answer: 5 × 5
6 × 5
Q3.
What is the next square number expression in this sequence, shown by the last array?
An image in a quiz
3 × 3
Correct answer: 4 × 4
5 × 5
Q4.
Look at this image. What does the little 2 written above the number mean?
An image in a quiz
Multiply the number by 2
Add 2 to the number
Correct answer: Multiply the number by itself
Q5.
Match the expression to the correct square number product.
Correct Answer:,4

4

Correct Answer:,9

9

Correct Answer:,16

16

Correct Answer:,25

25

Q6.
Match the start and the end of the sentence correctly.
Correct Answer:Squaring an odd number = ,an odd product

an odd product

Correct Answer:Squaring an even number = ,an even product

an even product