New
New
Year 4

Identify and use square numbers to solve problems

I can identify and use square numbers to solve problems

New
New
Year 4

Identify and use square numbers to solve problems

I can identify and use square numbers to solve problems

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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 - The result of multiplying a number by itself is known as a square number.

Common misconception

Pupils may not connect square numbers to their practical applications in problem-solving.

Highlight key words in the question to help children identify that they can use knowledge of square numbers to find the product.

As children will not have looked at finding the area, using an array will form a stepping stone to understanding square numbers and area. Engage students in hands-on activities where they can use items or objects to physically create the designs will further support understanding of square numbers.
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.
This array shows the equation 4 × 4 When both factors have __________ value, the product is a square number.
An image in a quiz
an odd
Correct answer: the same
an even
Q2.
True or false. This is a square array.
An image in a quiz
True
Correct answer: False
Q3.
Match the number to be squared with the correct expression.
Correct Answer:,3 × 3

3 × 3

Correct Answer:,6 × 6

6 × 6

Correct Answer:,7 × 7

7 × 7

Correct Answer:,9 × 9

9 × 9

Q4.
How do we calculate a square number?
Multiply the number by 2
Mulitply by an odd number.
Correct answer: Multiply the number by itself.
Multiply by an even number.
Q5.
Select the square numbers.
6
Correct answer: 16
24
Correct answer: 25
Correct answer: 49
Q6.
True or false. An odd square number is the result of multiplying an odd number by itself.
Correct answer: True
False

6 Questions

Q1.
Match the expression to the square number product.
Correct Answer:,9

9

Correct Answer:,16

16

Correct Answer:,25

25

Correct Answer:,36

36

Correct Answer:,49

49

Q2.
Without calculating, which of the following is greater than 6²?
Correct answer:
Q3.
Insert the correct symbol to make this correct. 4² ___ 4 × 2
<
=
Correct answer: >
Q4.
Sofia and Jacob are making patterns with tiles. Sofia makes a square with 36 tiles. Which array shows the correct pattern?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q5.
Jacob has designed a square from smaller tiles. One side is 8 tiles long. How many tiles has he used? tiles
Correct Answer: 64
Q6.
Sofia made a square using 81 tiles. How long are the sides of the square array? tiles long.
Correct Answer: 9