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Year 7

Multiplication and division where only one value is negative

I can use the mathematical structures that underpin multiplication and division of one or more positive integers with one negative integer.

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New
New
Year 7

Multiplication and division where only one value is negative

I can use the mathematical structures that underpin multiplication and division of one or more positive integers with one negative integer.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. Multiplication can be represented by an array.
  2. Multiplication can be easier by considering factors.
  3. Division can be seen as dividing into groups and then counting the number in each group.
  4. Division can be seen as knowing the size of a group and calculating the number of groups.

Common misconception

When working with counters students may count them and not appreciate they represent negatives.

Stress the importance of 2 different coloured counters as there is a need to represent positive and negative integers differently.

Keywords

  • Dividend - The dividend is what we are dividing.

  • Divisor - The divisor is what we are dividing by.

On question 3 in task B asks the question 'why are there no positive integers in the grid?' Pupils could create their own decode or reveal task.
Teacher tip

Equipment

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.
Work out $$40\times600$$
240
2400
Correct answer: 24 000
240 000
Q2.
Use an area model to work out: $$26\times17=$$
Correct Answer: 442
Q3.
Work out: $$321\times12=$$
Correct Answer: 3852, 3,852, 3 852
Q4.
In the calculation $$16\div2$$ the __________ is 16.
addend
Correct answer: dividend
divisor
minuend
subtrahend
Q5.
Match each division to the correct partition.
Correct Answer:$$108\div4$$,$$100\div4 + 8\div4$$

$$100\div4 + 8\div4$$

Correct Answer:$$90\div4$$,$$80\div4+8\div4+2\div4$$

$$80\div4+8\div4+2\div4$$

Correct Answer:$$68\div4$$,$$40\div4+20\div4+8\div4$$

$$40\div4+20\div4+8\div4$$

Correct Answer:$$72\div4$$,$$60\div4+12\div4$$

$$60\div4+12\div4$$

Q6.
Work out: $$342\div9=$$
Correct Answer: 38

Exit quiz

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6 Questions

Q1.
Work out $$3\times (-2)$$
Correct answer: (-6)
(-5)
5
6
Q2.
Match each calculation to its correct answer.
Correct Answer:$$4\times (-2)$$,$$(-8)$$

$$(-8)$$

Correct Answer:$$(-3)\times 3$$,$$(-9)$$

$$(-9)$$

Correct Answer:$$5\times (-2)$$,$$(-10)$$

$$(-10)$$

Correct Answer:$$(-3)\times 4$$,$$(-12)$$

$$(-12)$$

Correct Answer:$$11\times (-1)$$,$$(-11)$$

$$(-11)$$

Q3.
Select all the calculations that have a product of $$-60$$
$$(-40)+(-20)$$
Correct answer: $$(-30)\times2$$
$$(-100)+40$$
Correct answer: $$(-4)\times15$$
$$(-12)\times6$$
Q4.
Work out: $$(-36)\div9=$$
Correct Answer: (-4), -4, - 4, (- 4)
Q5.
Select all the calculations that have an answer of $$-6$$
Correct answer: $$(-18)\div3=$$
Correct answer: $$(-12)\div2=$$
$$(-30)\div6=$$
$$(-54)\div8=$$
Correct answer: $$(-72)\div12=$$
Q6.
Match each multiplication calculation to a division calculation with the same answer.
Correct Answer:$$(-3)\times6$$,$$(-36)\div2$$

$$(-36)\div2$$

Correct Answer:$$(-4)\times5$$,$$(-80)\div4$$

$$(-80)\div4$$

Correct Answer:$$2\times(-6)$$,$$(-48)\div4$$

$$(-48)\div4$$

Correct Answer:$$5\times(-3)$$,$$(-45)\div3$$

$$(-45)\div3$$