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

The Same Ballots, Counted Another Way

Examine the same one hundred ballots counted under two different voting systems. See how first past the post and transferable vote rules lead to different elected representatives and consider what this means for how citizens shape their state.

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    Pr stv count

    1 - Start ~4 mins

    Illustration for Start

    Last time you counted 100 ballots for two seats on the student council under the single transferable vote. Aoife and Cara took the seats. Today you keep every ballot exactly as it was and count them a different way. A different person takes a seat. The question is not which count is cleverer. It is what each system lets citizens do with their vote, and what it quietly takes away.

    2 - First Past the Post ~6 mins

    Key point

    First past the post works like this. You look only at first preferences. The candidates with the most first preferences take the seats. Nobody's ballot ever moves. A second or third preference is never read.

    On these ballots the first preferences are: Aoife 40, Brian 25, Cara 20, Diarmuid 15. For two seats, name the top two.

    3 - Count Them the Other Way ~14 mins

    Your teacher models the count on the board machine first. Then open the interactive in pairs.

    Note

    The ballots are the ones you already counted: 40 Aoife then Brian, 25 Brian then Aoife, 20 Cara then Diarmuid, 15 Diarmuid then Cara. Two seats.

    Key point

    Use the compare view so you can see first past the post beside the transferable count. Notice who takes the second seat under each rule, and whose later preferences never get read under first past the post.

    Two seats, same ballots, two rules

    4 - Make Sense of It ~13 mins

    Hold both results in view. Aoife and Cara under the transferable count. Aoife and Brian under first past the post. Steelman first past the post: it is easy to explain, the link from first mark to seat is direct, and the winners are simply the people with the most first preferences. Nobody needs to follow transfers. Steelman the transferable count: more ballots help elect someone, a second preference can still matter when a first choice is out, and here Cara reaches a seat with support that first past the post never adds together.
    Key point

    One strong voice for each steelman only, then stop. Say which result you think better represents these voters, and give one reason.

    Then ninety seconds of silence. Write one sentence for each stem: First past the post is strong when... A second preference is worth filling in because...

    5 - What You Covered ~3 mins

    You took the same 100 ballots and two seats and watched two counting rules seat different people. First past the post reads first preferences only and never moves a ballot. The single transferable vote can move later preferences when a candidate is elected or excluded. You compared how citizens shape the result under each rule, without crowning a winner, and you wrote one strength of each system.
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