Mathematics
Advanced
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Mixed-operation Problem Solving: Which Operation?

Learn to spot signal words in maths problems and choose the right operation — adding, subtracting, multiplying or dividing — then write and solve number sentences, including one two-step problem.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere are three quick match-day stories. For each one, decide in your head: would you add, subtract, multiply or divide to answer it?

    • The hurling club has 248 members and 137 more join.
    • There are 6 teams, and each team has 9 players.
    • 45 sliotars are shared equally into 5 nets.

    You don't have to work out the answers yet. Just say which operation each one needs, and which word in the story told you.

    2 - Watch and Notice ~11 mins

    The interactive shows five hurling word problems, one at a time. Read the words first and decide which operation each one is calling for before any numbers are touched. On the comparison one, predict whether you will add or subtract before you work it out.

    Signal words to keep in mind

    • Add — altogether, in total, both, more join.
    • Subtract — how many more, how many left, fewer, difference.
    • Multiply — each, every, equal groups, rows of.
    • Divide — shared equally, split equally, into equal groups.

    3 - Try It Together ~12 mins

    Today we work through these match-day problems together, in this order, deciding the operation each time:

    • 153 fans in one stand and 128 in another — how many fans altogether?
    • Meath scored 31 points and Louth scored 24 — how many more did Meath score?
    • 4 buses each carry 30 supporters — how many supporters in total?
    • 36 jerseys shared equally among 6 players — how many each?

    Before we touch the numbers, we name the signal words and choose add, subtract, multiply or divide. Then we build the number sentence and check it.

    Then we try a two-step problem together: a stand has 8 rows with 40 seats in each row, and then 25 extra seats are added at the front. First we work out how many seats the rows hold, and only then do we deal with the extra 25.

    Choose the operation together

    4 - Write the Sentence in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, take these two problems one under the other. For each one, first write the operation symbol you chose (+, −, × or ÷), then write the full number sentence, and then solve it underneath.

    • A club sells 145 tickets on Saturday and 138 on Sunday. How many tickets altogether?
    • A coach has 48 cones and packs them equally into 8 bags. How many cones in each bag?

    Read each sentence back to yourself to check the operation matches the story.

    5 - Class Challenge ~7 mins

    Now a different kind of challenge: we are given some starter numbers and we choose our own operations to reach a target. Watch one first.

    Reach 24 from 6, 4 and 20. Ask: which operation gets us close fast? 4 × 6 = 24 lands straight on it. There is often more than one route — 20 + 4 = 24 also works, using the 20 and the 4. So the same target can be reached two ways.

    Now try these together:

    • Reach 60 from 5, 12 and 8.
    • Reach 100 from 3, 5, 7, 8 and 25 (optional stretch).
    • Reach 150 from 6, 10, 25 and 5 (optional stretch).

    See if you can find a second path to any target you reach.

    Reach the target

    Pupil practice
    Module 2 · The Four Operations: Mental and Written Number
    Lesson 29 · Mixed-operation Problem Solving: Which Operation?
    Download Activity Book page (PDF)
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