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?
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?
Display the finished travel-to-school tally as pupils settle. Say the word tally aloud and remind the class in one line that every fifth mark crosses the four before it. Take two or three hands-up answers for which row has most, then press on the second question: can you say the number without recounting every line? Let the difficulty sit for a moment — it sets up why a frequency table is worth having.
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.
Five, ten, then eleven, twelve, thirteen. The frequency is 13.
One gate on its own is just five. The frequency is 5.
No marks at all means the frequency is 0 — but the row still needs its label and its number.
Walk each example aloud, one at a time, pointing at the gates on screen.
These are static snapshots — point and narrate, do not tap or drag.
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 13 − 4 = 9 more pupils walked than took the bus.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Call one pupil up per row to fill the frequency. The rest of the class checks the number against the marks before you accept it. Insist on five, ten, then count on rather than counting every stroke. When you reach the empty row, pause and ask the class what number goes in — the 0 must still be written.
When all four frequencies are in, model the two reading moves on the board so pupils see them before producing them later:
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.
Walk the room glancing at the frequency numbers and the total line — this is whole-class copybook practice, not marking. Watch for pupils who count every stroke instead of counting the gates in fives.
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.
This round is the practice bank — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
Narrate the bank as it climbs in difficulty, and on each row use the count the gates in fives first, then the loose marks callout. The total and difference questions are the stretch. The difference move was modelled in Try It Together, so remind the class of it before they tackle it here: find the most chosen and the least chosen, then take the smaller away from the bigger. Let a confident pupil work it at the board while the class predicts the answer first.
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