Myths about teaching can hold you back
- Year 7
Square and cube numbers
I can explain the concept of squared and cubed numbers and calculate them.
- Year 7
Square and cube numbers
I can explain the concept of squared and cubed numbers and calculate them.
Lesson details
Key learning points
- A square number can be represented by dots making a square.
- A square number is the product of two identical integers.
- A cube number can be made into a cube.
- A cube number is the product of three identical integers.
Keywords
Square number - A square number is the product of two repeated integers.
Cube number - A cube number is the product of three repeated integers.
Common misconception
Students think that all numbers are square numbers as you can square any integer.
A square is the product of 2 repeated integers.
To help you plan your year 7 maths lesson on: Square and cube numbers, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Square and cube numbers, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Properties of number: factors, multiples, squares and cubes unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A product is the result when two or more numbers are __________ .
Q2.Which of the following is the product of 8 and 5?
Q3.Complete the statement. A numerical factor is __________ which exactly divides another.
Q4.Match each word to its definition.
Product -
The result of two or more numbers multiplied together.
Square number -
The product of two repeated integers
Cube number -
The product of three repeated integers
Q5.Find the factors of 49
Q6.Three students were given this calculation: $$ 2\times 2\times 2$$. Who is correct?
Assessment exit quiz
6 Questions
Q1.Which calculations will give a square number?
Q2.Identify the list of square numbers.
Q3.Identify the list of cube numbers.
Q4.Who is correct?
Q5.The sum of a square number and cube number is 141. Work out the cube number.

Q6.The sum of two different square numbers and a cube number is 77. Work out the cube number.
