Checking understanding of factors, multiples, squares and cubes
I can state the factors and multiples for different numbers and identify square and cube numbers.
Checking understanding of factors, multiples, squares and cubes
I can state the factors and multiples for different numbers and identify square and cube numbers.
Link copied to clipboard
These resources will be removed by end of Summer Term 2025.
Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.
These resources were created for remote use during the pandemic and are not designed for classroom teaching.
Lesson details
Key learning points
- Multiples of a given number are the product of that number and an integer.
- Factors of an integer can be identified by checking for a remainder when dividing.
- In the statement factor x factor = product, the product is a multiple of each of the factors.
- If a is a factor of b then b is a multiple of a
Keywords
Multiple - A multiple is the product of a number and an integer.
Numerical factor - A numerical factor is a factor that is an integer.
Square - A square number is the product of two repeated integers.
Cube - A cube number is the product of three repeated integers.
Product - A product is the result of two or more numbers multiplied together.
Common misconception
There is often confusion between factors and multiples.
Highlight that the number of dots in an array is the multiple and the number of dots in each column & row are the factors.
To help you plan your year 7 maths lesson on: Checking understanding of factors, multiples, squares and cubes, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Checking understanding of factors, multiples, squares and cubes, 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
Starter quiz
6 Questions
