Checking and further securing understanding of the commutative law
I can state the commutative law and use it to calculate efficiently.
Checking and further securing understanding of the commutative law
I can state the commutative law and use it to calculate efficiently.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A number can be expressed as the product of prime factors.
- By using the commutative law, you can chose which factors to multiply together first.
- Using the commutative law can make calculations easier.
Keywords
Exponential form - When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
Commutative - An operation is commutative if the values it is operating on can be written in either order without changing the calculation.
Prime number - A prime number is an integer greater than one with exactly 2 factors. All integers greater than 1 are either composite or prime.
Prime factor - Prime factors are the factors of a number that are, themselves, prime.
Prime factorisation - Prime factorisation is a method to find the prime factors of a given integer.
Common misconception
Use of addition instead of multiplication when finding factors.
Reiterate that the product of prime factors is unique.
To help you plan your year 9 maths lesson on: Checking and further securing understanding of the commutative law, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Checking and further securing understanding of the commutative law, 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.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Licence
Starter quiz
6 Questions


2 × 4 = 0.2 × 40 = 0.4 × 20 -
8
6 × 2 = 0.6 × 20 = 0.2 × 60 -
12
0.7 × 30 = 0.3 × 70 = 7 × 3 -
21
0.3 × 30 = 3 × 3 = 0.003 × 3000 -
9