Square and cube roots
I can explain the concept of square root and cube root and calculate them.
Square and cube roots
I can explain the concept of square root and cube root and calculate them.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- The square root of any perfect square will be an integer.
- The square root of any perfect square will be an integer and can be calculated by using trial and improvement.
- The cube root of any perfect cube will be an integer.
- The cube root of any perfect cube will be an integer and can be calculated by using trial and improvement.
Keywords
Perfect square - A perfect square is the same as a square number.
Perfect cube - A perfect cube is the same as a cube number.
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
The root of an integer is half of the integer.
The square root is the inverse of a square number. A square is the product of 2 repeated integers.
To help you plan your year 7 maths lesson on: Square and cube roots, 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 roots, 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
Starter quiz
6 Questions
square numbers -
1, 4, 9, 16, 25, 36, ...
cube numbers -
1, 8, 27, 64, 125, 216, ...
even numbers -
2, 4, 6, 8, 10, 12, ...
odd numbers -
1, 3, 5, 7, 9, 11, ...
multiples of 3 -
3, 6, 9, 12, 15, 18, ...
multiples of 1 -
1, 2, 3, 4, 5, 6, ...
Exit quiz
6 Questions
$$\sqrt{64}$$ -
8
$$\sqrt[3]{125}$$ -
5
$$\sqrt{1}$$ -
1
$$\sqrt{49}$$ -
7
$$\sqrt{169}$$ -
13
$$\sqrt[3]{64}$$ -
4