Intermediate
40 mins
Teacher/Student led
+55 XP
Teacher-led from the board. Pupils do not need a device, but can follow on one.

Counting the Votes

You will learn how Irish elections use the single transferable vote (STV) to decide seats. Run a student council count with four candidates for two places and see preferences transfer round by round.

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    Pr stv count

    1 - Start ~4 mins

    Illustration for Start

    Two seats are open on the student council. Four people are standing. You mark 1 for your first choice and 2 for your second. Today you watch how those numbers become seats, one round at a time, the way Irish elections are counted.

    2 - Preference and Quota ~8 mins

    A preference is the order you put on the ballot: 1 is who you want most, 2 is who you want if your first choice cannot use your vote.

    A quota is the number of votes you need to win a seat. With 100 valid votes and 2 seats:

    Worked example

    (100 ÷ (2 + 1)) + 1 = 34.

    Key point

    With 2 seats, only two people can hit this number, so 34 gets you in. Reach 34 and you are elected. Fall lowest when nobody reaches 34 and you are out; your ballots then move on at full value to the next preference still in the race.

    That is the single transferable vote (STV), the system used for Dáil, local and European elections in Ireland. You are about to run a small version of it.

    3 - Two Seats on the Student Council ~20 mins

    Open the interactive. Four candidates, 100 ballots, two seats. Watch what happens when someone passes the quota, and what happens when the lowest is excluded. Notice whose second preference still has work to do. At each freeze, turn to your partner and say the answer aloud before the class shares.

    Two seats on the student council

    4 - Make Sense of It ~5 mins

    Talk these through with your partner first, then share as a class. Nothing is typed or saved.

    1. Whose second preference ended up mattering most, and how can you tell from the count?
    2. If only first preferences had counted, who would have taken the two seats?
    3. In one sentence, what does a second preference actually do in this system?

    5 - What You Covered ~3 mins

    You can now:

    • say what a preference and a quota are in an Irish election count
    • follow a single transferable vote (STV) count round by round, including surplus and exclusion
    • spot when a second preference decides a seat

    Next time you will open on this STV outcome (Aoife and Cara) and count the same ballots another way, then compare what changes.

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