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
- 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.
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 (2025), 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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Starter quiz
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6 Questions
Q1.
What calculation does this array show?
4 + 7
4 × 8
Q2.
Match the sequence to the number which will go next in the sequence.
36
49
25
81
Q3.
Match the parts of the sentences correctly.
even product
even product
odd product
Q4.
Without calculating, will this equation produce an odd or even product? 24 × 8 =
Odd
Q5.
True or false? The products in the 7 times tables will always be even.
True
Q6.
When the rabbit catches the star, it becomes 7 times the size. What is the new height of the rabbit? cm
Exit quiz
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6 Questions
Q1.
This array shows the equation 4 × 4 When both factors have the same value, the product is __________ number.
an odd
an even
Q2.
What expression does this square array show?
4 × 4
4 × 5
6 × 5
Q3.
What is the next square number expression in this sequence, shown by the last array?
3 × 3
5 × 5
Q4.
Look at this image. What does the little 2 written above the number mean?
Multiply the number by 2
Add 2 to the number
Q5.
Match the expression to the correct square number product.
4
9
16
25
Q6.
Match the start and the end of the sentence correctly.
an odd product
an even product