Mathematics
Advanced
50 mins
Teacher/Student led
+80 XP
Teacher-led from the board — pupils need no device
What you need:
IWB/Projector/Large Screen

Trend Graphs and Reading Line Graphs

Learn to read values from line graphs, estimate points between plotted data, and describe trends by the direction and slope of the line.

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    Trend line
    Trend line

    1 - Getting Started ~4 mins

    Look at this line graph of the water level in a pond over one week. When was the pond filling up fastest, and when did the level hold steady? How can you tell just by looking at which way the line goes and how steep it is?

    2 - Watch and Notice ~9 mins

    Three line graphs come up on the screen, one at a time: rainfall across a week, then temperature through a day, then a sunflower's height over six weeks. Watch which way the line goes and how steep it gets, and be ready to read a value for a moment that sits between two points by following the joining line. Hands up when you are asked for the in-between reading, the warming and cooling parts, and the steepest climb.

    3 - Try It Together ~10 mins

    Today we plot and read our own line graph together on the board: the number of pupils in the yard at break over six readings: 12, 18, 22, 20, 15, and 24 on an extra sunny day. We plot each point by clicking, then read the joined line to find a value for a moment between two points and say how the trend changes. Notice the line climbs Monday to Wednesday to 22, falls to Friday, then rises on the sunny day.

    Key point

    Remember, an in-between value sits on the joining line, not on either dot, so we follow the line to the moment we want and read down.

    Pupils in the yard at break

    4 - Plot and Describe in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, plot these temperature readings on a grid: a mug of tea cooling from 80°C, then 60°C, 48°C, 40°C, 36°C over five readings. Join the points with your ruler, then write one sentence describing the trend you see.

    5 - Class Challenge ~8 mins

    Today we read this temperature line graph together. There are four board tasks:

    1. Read the value straight off the line at reading R4 (type this answer and press Check).
    2. Find the biggest jump between two readings.
    3. Read a value for a moment between two plotted points by following the line.
    4. Predict where the next point would land if the trend carried on.

    We take turns at the board and check each answer together before moving on.

    Read the line graph

    Pupil practice
    Module 9 · Data and Chance Data & Chance
    Lesson 103 · Trend Graphs and Reading Line Graphs
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