Problem solving with factors, multiples, squares and cubes
I can use my knowledge of factors, multiples, squares and cubes to solve problems.
Problem solving with factors, multiples, squares and cubes
I can use my knowledge of factors, multiples, squares and cubes to solve problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Knowledge of factors and multiples can be used to solve problems
- Knowledge of squares and cubes can be used to solve problems
- Knowledge of squares, cubes, multiples and factors can used to solve problems
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
Multiple - A multiple is the product of a number and an integer
Numerical factor - A numerical factor is a factor that is an integer
Common misconception
Real life measurements aren't always integers. Use of integers can give more a practical application
e.g. find the largest with 200 blocks, the cbrt(200) is not an integer so we use 5 x 5 x 5 =125
To help you plan your year 7 maths lesson on: Problem solving with 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: Problem solving with 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.