Time series graphs show data over a time period. The time period is always shown on the $$x$$-axis. Data points are joined chronologically by line segments.

Extrapolation is the process of estimating unknown values that are outside the range of existing data.

Interpolation is the process of estimating unknown values that are inside the range of existing data.

Interpreting and drawing real-life graphs

Maths

Checking and securing understanding of reading from context-based graphs

Checking and securing understanding of drawing distance-time graphs

Distance-time graphs

Speed-time graphs

Non-linear distance-time graphs

Interpreting and drawing more real-life graphs

Calculating the rate of change

Estimating the gradient of a curve

Improving the estimate of the gradient of a curve

Finding the equation of a radius of a circle

Finding the equation of the tangent to a circle

Calculating journeys from linear speed-time graphs

Estimating journeys from non-linear graphs

Efficiently estimating journeys from non-linear graphs

Advanced problem solving with real-life graphs

The work on gradient in the prior unit is expanded further in this unit by considering gradient as the rate of change and interpreting this in context. The gradient of the tangent is introduced as a way of estimating the gradient of a curve.

In this unit pupils expand upon knowledge developed in the linear graphs unit. Pupils are introduced to rates of change and the gradient of the tangent as a way of estimating the gradient of a curve.

Real-life graphs

On a time series graph, data points are joined chronologically by __________.

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. 

Why can it be inaccurate to interpolate from a time series graph?

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?

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.

Aisha is filling this container with water. What must be the case for this depth-time graph to be accurate?

__________ is the process of estimating unknown values that are outside the range of existing data.

__________ is the process of estimating unknown values that are inside the range of existing data.

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?

This lesson was made for home learning during the pandemic.

Interpreting and drawing real-life graphs

Lesson outcome

This lesson was made for home learning during the pandemic.