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      Multiplication and division where only one value is negative

      Lesson details

      Learning outcome

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

      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.

      Keywords

      • Dividend - The dividend is what we are dividing.

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

      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.

      Teacher tip

      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.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      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

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

      $$(-45)\div3$$


      To help you plan your 7 maths lesson on: Multiplication and division where only one value is negative, download all teaching resources for free and adapt to suit your pupils' needs...