Myths about teaching can hold you back
- Year 7
The identity property of multiplication and division
I can use the fact that 1 can be written in the form n/n and vice versa.
- Year 7
The identity property of multiplication and division
I can use the fact that 1 can be written in the form n/n and vice versa.
Lesson details
Key learning points
- Anything multiplied by one is itself.
- Anything divided by one is itself.
- One can be written in infinitely many ways using fractions because anything divided by itself is one.
- When a fraction is multiplied by 1 it remains the same but may look different.
- When a fraction is divided by 1 it remains the same but may look different.
Keywords
Equivalent fractions - Two fractions are equivalent if they have the same value
Common misconception
As the denominator is larger the value of the fraction is larger.
An analogy of sharing pizza helps students understand. Would pupils get a bigger slice of pizza if it was shared between more people?
To help you plan your year 7 maths lesson on: The identity property of multiplication and division, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: The identity property of multiplication and division, 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 Comparing and ordering fractions and decimals (positive and negative) unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.What fraction of the whole rectangle is unshaded?

Q2.In the fraction $$2 \over5$$, 5 is called the .
Q3.In these cuisenaire rods, the yellow rod (y) represents 1. What fraction does the light green rod (g) represent?

Q4.What fraction of this diagram is shaded?

Q5.What fraction is the arrow pointing to?

Q6.Match each label to the correct fraction.

Label a points to -
$$1\over 5$$
Label b points to -
$$6\over 5$$
Label c points to -
$$1 \frac{2}{5}$$
Label d points to -
$$2$$
Assessment exit quiz
6 Questions
Q1.Two fractions are if they have the same value.
Q2.Use the diagram to help you find two more fractions that are equivalent to $$2 \over 5$$.

Q3.Andeep writes: $$\frac{3\times \square}{4\times \square} = \frac{9}{12}$$. What number should Andeep write in each box?
Q4.Select all the fractions that are equivalent to $$1 \over 3$$.
Q5.Select all the fractions that are equivalent to $$4 \over 9$$.
Q6.Match each fraction to an equivalent fraction.
$$1 \over 5$$ -
$$3 \over 15$$
$$2 \over 7$$ -
$$6 \over 21$$
$$4 \over 11$$ -
$$20 \over 55$$
$$3 \over 8$$ -
$$12 \over 32$$
$$5 \over 6$$ -
$$20 \over 24$$