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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.

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New
New
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.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. Anything multiplied by one is itself.
  2. Anything divided by one is itself.
  3. One can be written in infinitely many ways using fractions because anything divided by itself is one.
  4. When a fraction is multiplied by 1 it remains the same but may look different.
  5. When a fraction is divided by 1 it remains the same but may look different.

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?

Keywords

  • Equivalent fractions - Two fractions are equivalent if they have the same value

Using MWB or drawing in their books, draw a 6 by 4 grid and ask pupils how many different ways can they show 1/4? Ensuring they subdivide so there are equal parts or equal areas. 1/4=2/8=3/12=6/24=12/48 etc
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.
What fraction of the whole rectangle is unshaded?
An image in a quiz
$$1 \over2$$
$$1 \over9$$
Correct answer: $$1 \over10$$
$$9\over10$$
$$10\over1$$
Q2.
In the fraction $$2 \over5$$, 5 is called the .
Correct Answer: denominator
Q3.
In these cuisenaire rods, the yellow rod (y) represents 1. What fraction does the light green rod (g) represent?
An image in a quiz
$$1 \over 2$$
$$2 \over 5$$
Correct answer: $$3 \over 5$$
$$5 \over 2$$
$$5 \over 3$$
Q4.
What fraction of this diagram is shaded?
An image in a quiz
$$3\over 5$$
$$3\over 5$$
Correct answer: $$3\over 8$$
$$5\over 8$$
$$8\over 3$$
Q5.
What fraction is the arrow pointing to?
An image in a quiz
$$1\over 4$$
$$5\over 8$$
$$3\over 7$$
Correct answer: $$3\over 8$$
$$3\over 9$$
Q6.
Match each label to the correct fraction.
An image in a quiz
Correct Answer:Label a points to,$$1\over 5$$

$$1\over 5$$

Correct Answer:Label b points to,$$6\over 5$$

$$6\over 5$$

Correct Answer:Label c points to,$$1 \frac{2}{5}$$

$$1 \frac{2}{5}$$

Correct Answer:Label d points to,$$2$$

$$2$$

Exit quiz

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6 Questions

Q1.
Two fractions are if they have the same value.
Correct Answer: equivalent
Q2.
Use the diagram to help you find two more fractions that are equivalent to $$2 \over 5$$.
An image in a quiz
$$1 \over 5$$
Correct answer: $$4 \over 10$$
$$2 \over 10$$
$$6 \over 20$$
Correct answer: $$8 \over 20$$
Q3.
Andeep writes: $$\frac{3\times \square}{4\times \square} = \frac{9}{12}$$. What number should Andeep write in each box?
Correct Answer: 3, three
Q4.
Select all the fractions that are equivalent to $$1 \over 3$$.
Correct answer: $$2 \over 6$$
$$3 \over 5$$
$$4 \over 6$$
Correct answer: $$3 \over 9$$
$$4 \over 9$$
Q5.
Select all the fractions that are equivalent to $$4 \over 9$$.
$$6 \over 11$$
Correct answer: $$8 \over 18$$
$$2 \over 7$$
$$16 \over 45$$
Correct answer: $$20 \over 45$$
Q6.
Match each fraction to an equivalent fraction.
Correct Answer:$$1 \over 5$$,$$3 \over 15$$

$$3 \over 15$$

Correct Answer:$$2 \over 7$$,$$6 \over 21$$

$$6 \over 21$$

Correct Answer:$$4 \over 11$$,$$20 \over 55$$

$$20 \over 55$$

Correct Answer:$$3 \over 8$$,$$12 \over 32$$

$$12 \over 32$$

Correct Answer:$$5 \over 6$$,$$20 \over 24$$

$$20 \over 24$$