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

Tally Charts to Frequency Tables

Convert tally charts into frequency tables by counting marks in groups of five, then add loose marks. Find totals and compare values from completed tables.

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    1 - Getting Started ~4 mins

    Here is a finished tally of how our class travels to school. A tally is a way of counting where you make one mark for each thing, and every fifth mark crosses the four before it to make a gate of five. Look hard at the rows of marks. Which way has the most marks beside it?

    Key point

    Now the tricky part: could you say the exact number for each row out loud, without going back and counting every single line one by one?

    2 - Watch and Notice ~9 mins

    Watch as we read each tally row and write its number in a frequency column beside it. The trick is to count the gates in fives first, then add the few loose marks at the end.

    Two full gates and three more

    Five, ten, then eleven, twelve, thirteen. The frequency is 13.

    One clean gate

    One gate on its own is just five. The frequency is 5.

    An empty row

    No marks at all means the frequency is 0 — but the row still needs its label and its number.

    3 - Try It Together ~12 mins

    Today we work through a real tally together: how our class travels to school. For each row we count the gates in fives, add the loose marks, and fill in the matching frequency number.

    Once every row has its number, we do two more things on the board. First we add all the frequencies to find the total counted altogether: 13 + 5 + 8 + 4 = 30. Then we find a difference: 13 pupils walked and 4 came by bus, so 134 = 9 more pupils walked than took the bus.

    How our class travels to school

    4 - Build the Frequency Column in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, copy the tally rows from the board and write a frequency column beside them. Count the gates in fives first, then add the loose marks.

    Under the table, write the total number of pupils counted altogether.

    5 - Class Challenge ~10 mins

    Today we turn tallies into frequencies and answer one question each. The questions get a step harder each time: first read a single row, then read a tricky row with gates plus loose marks, then find the total of every category, then find how many more chose the most chosen game than the least chosen one.

    Reading frequencies from a tally

    Pupil practice
    Module 9 · Data and Chance Mixed
    Lesson 94 · Tally Charts to Frequency Tables
    Download Activity Book page (PDF)
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