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.

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.

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.

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).

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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