Starter quiz
- Which of these axes are correctly drawn?
- __________ is the process of estimating unknown values that are outside the range of existing data.
- Extrapolation ✓
- Hypothesising
- Interpolation
- Prediction
- Unitising
-
- __________ is the process of estimating unknown values that are inside the range of existing data.
- Extrapolation
- Hypothesising
- Interpolation ✓
- Prediction
- Unitising
-
- Which of these could be units of volume?
- cm
- cm
- cm ✓
- cm/s
- cms
-
This is the cross section of a container. If it was filled at a constant rate, which of these would be its depth-time graph?
This is the cross-section of a container. If it was filled at a constant rate, which of these would be its depth-time graph?
Exit quiz
- On a time series graph, data points are joined chronologically by __________.
- coordinates
- curves
- line segments ✓
-
- Why can it be inaccurate to interpolate from a time series graph?
- We do not know if the trend continues in the future.
- We do not know if the data points are plotted accurately.
- We do not know how the data changes between the data points. ✓
- We do not know if the scale is consistent between the coordinates.
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Which graph would match Andeep's scenario?
This container is filled at a constant rate. Which graph could model this scenario?
This container is filled at a constant rate. Which graphs could model this scenario?
Aisha is filling this container with water. What must be the case for this depth-time graph to be accurate?- Water was run at a constant rate throughout.
- Water was run at a continuously increasing rate .
- Water was run at a constant rate then the rate was decreased continuously.
- Water was run at a constant rate then the rate was increased continuously. ✓
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Not all real-life graphs can be drawn using sections of different linear graphs.
- The graphs are models, which means that we want them to be useful.
- Different containers may need different graphs to model filling them.
- Volume of liquid changes over time and this is affected by container shape.
Common misconception
Interpolation is always more accurate than extrapolation.
If a graph is plotting data collected at set points then there is no way to know what is happening between the points. The trend between the points could be a curve, a line or could fluctuate. Interpolation could therefore be inaccurate.
Keywords
Time series graphs - Time series graphs show data over a time period. The time period is always shown on the -axis. Data points are joined chronologically by line segments.
Extrapolation - Extrapolation is the process of estimating unknown values that are outside the range of existing data.
Interpolation - Interpolation is the process of estimating unknown values that are inside the range of existing data.
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