Checking and securing understanding of multiples of 10
I can factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals.
Checking and securing understanding of multiples of 10
I can factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Factorising multiples of 10 can scale the calculation to easier values.
- It is important to consider place value so answers are scaled back correctly when multiplying.
- Equivalent fractions can be used to simplify division.
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.
Common misconception
There are many ways to multiply decimals or large numbers. With decimals, some pupils choose to multiply decimals using the column method and incorrectly use a decimal point when calculating answers.
When multiplying decimals, converting the calculation using integers and powers of 10 makes the calculation easier to work with.
To help you plan your year 9 maths lesson on: Checking and securing understanding of multiples of 10, 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 securing understanding of multiples of 10, 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 Standard form unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
$$7$$ -
$$8\times8\times8\times8\times8\times8\times8 = 8^\square$$
$$8$$ -
$$4\times4\times4\times4\times4\times4\times4\times4= 4^\square$$
$$5$$ -
$$5\times5\times5\times5\times5= 5^\square$$
$$2$$ -
$$100 = 10^\square$$
$$4$$ -
$$10000 = 10^\square$$
$$1$$ -
$$10 = 10^\square$$
$$10^4$$ -
$$10 000$$
$$10^2$$ -
$$100$$
$${1} \over {10^2}$$ -
$$0.01$$
$$10^0$$ -
$$1$$
$$10^6$$ -
$$1 000 000$$
$${1} \over {10^3}$$ -
$$0.001$$
Exit quiz
6 Questions
2 × 3 = 0.2 × 30 = 0.3 × 20 -
6
4 × 2 = 0.4 × 20 = 0.2 × 40 -
8
0.7 × 20 = 0.2 × 70 = 7 × 2 -
14
0.3 × 30 = 3 × 3 = 0.03 × 300 -
9