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

Bar Charts: Drawing and Reading

Learn to turn a tally count into a bar chart by matching each bar's height to the frequency, then read frequencies off finished charts. Explore how bar height tells the story instantly.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Here is the tally we collected for how the class gets to school: Walk has 12, Cycle has 5, Bus has 8, Car has 3. A tally is great for counting, but it is hard to tell at a glance which way is the most popular. What is the same and what is different about these four counts? Which one would be the tallest if we drew it as a picture?

    2 - Watch and Notice ~10 mins

    How we get to school

    Watch as each bar grows to match a tally count. The Walk bar reaches up to 12, the Cycle bar to 5, the Bus bar to 8 and the Car bar to 3. Notice that the height of each bar tells the story instantly — Walk is the tallest, so it is the most popular. Before we move on, who can tell me which is the shortest, just by looking?

    Favourite fruit

    Here is a different survey, this time about favourite fruit. Nine pupils picked apple, four picked banana, six picked orange and two picked pear. Look at how the bars sit on the bottom axis side by side, and how each one lines up with a number on the side scale. Turn and tell the person you are facing which fruit came second.

    Reading the fourth bar

    This chart shows four bars for car colours. All four bars are drawn for you. Read the Green bar: follow its top across to the side scale. What number does it reach? We can read any bar this way, just by following its top to the side scale.

    3 - Try It Together ~12 mins

    Today we build the bar chart for our travel-to-school tally together. The counts are Walk 12, Cycle 5, Bus 8, Car 3. We will drag each bar up until its height matches the count, then read it back to check it lines up with the right number on the side scale.

    Build our travel-to-school chart

    4 - Draw the Chart in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, sketch the bar chart frame: a side scale going up in twos (0, 2, 4, 6, 8, 10, 12) and the four labels along the bottom — Walk, Cycle, Bus, Car. Now draw each bar to match the tally we collected: Walk 12, Cycle 5, Bus 8, Car 3. Label both axes.

    5 - Class Challenge ~11 mins

    We have a few bar-chart jobs to work through at the board, each one a little trickier. First, match a chart to its tally. Next, three bars are filled in and you read the fourth one off the side scale. Last, build a chart where two bars come out the same height. We will check each answer together before moving on.

    Bar chart challenges

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    Why does the height of each bar tell the story so quickly? What would change if we made the bars wider instead of taller — would the chart still tell us who was most popular?

    7 - What's Next ~3 mins

    What we learned today

    • A tally turns into a bar chart: each bar's height matches the count.
    • The categories sit along the bottom; the counts run up the side scale.
    • To read a bar, follow its top across to the side scale.

    Coming up

    Next we look at choosing a scale: what to do when one bar is huge and the others are tiny, so we can step the side scale in twos, fives or tens to make the chart easy to read.

    Pupil practice
    Module 7 · Data, Chance and the Co-ordinate Plane Data & Chance
    Lesson 89 · Bar Charts: Drawing and Reading
    Download Activity Book page (PDF)
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