Mathematics
Intermediate
40 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen
Tally frame worksheet

Posing a Question and Tallying the Data

Learn to pose a question that can be answered by collecting data, then tally in fives using gate-marks and convert your tally into a frequency table.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is a tally someone made on a clipboard. Count the marks: three full gates of five, then two more single strokes. How many is that altogether? And here are three questions a class might want to answer: "How do we get to school?", "What is your favourite colour?", "Will it rain tomorrow?" Which of these three could we actually answer by counting?

    2 - Watch and Notice ~9 mins

    We will draw a completed tally for how we get to school, sorted into Walk, Cycle, Bus and Car. Notice how every fifth mark crosses the other four to make a gate, and see how quickly the gates let us read a total.

    3 - Try It Together ~11 mins

    Today we draft a brand-new question together: "What is your favourite playground game?" First we name the categories — call them out and we will write a row for each. Then individual pupils come to the board to add a tally mark in turn, and the whole class watches each fifth mark cross the four before it. The frequency column on the right fills in as we go.

    What is your favourite playground game?

    4 - Build Your Question and Tally in Your Copy ~3 mins

    COPYBOOK MOMENT

    Everyone writes this one in your own maths copy — nobody comes to the board for this part. Write your own question at the top, then list its categories, one per row. Draw a tally frame with a row for each category and add gate-marks as you imagine the votes coming in. Then, in a column to the right, convert each row's tally into a frequency (the total count) for that category.

    5 - Class Challenge ~8 mins

    Today we do some real counting together. First we find a good spot to watch from — the classroom window is perfect. Then we pick a question that fits what we can see, like "What colour are the cars going by?" or "What colour jumpers are people wearing?" We tally what we see in fives for a couple of minutes, then bring our count back to the board and read off the frequency for each group together from the tally chart.

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    What makes a question one we can answer with data, and one we cannot? And why does counting in fives help us read a tally so fast?

    7 - What's Next ~2 mins

    What we did today

    • Posed a question we can answer by counting into clear categories
    • Tallied in fives, crossing every fifth mark as a gate
    • Converted each tally into a frequency in a table
    Coming up

    Later in this unit we take a frequency table like the ones we built today and turn it into a bar chart, so the answer to our question becomes a picture anyone can read at a glance.

    Pupil practice
    Module 7 · Data, Chance and the Co-ordinate Plane Data & Chance
    Lesson 85 · Posing a Question and Tallying the Data
    Download Activity Book page (PDF)
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