Speed-time graphs

Maths

Checking and securing understanding of reading from context-based graphs

Checking and securing understanding of drawing distance-time graphs

Distance-time graphs

Non-linear distance-time graphs

Interpreting and drawing real-life 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

Deceleration is the rate at which the {{}} of an object is decreasing.

Which of these could be units of acceleration?

The speed-time graph shows the first 20 seconds of an object's journey. What was the top speed of the object in this time?

The object travelled at a constant speed.

The speed-time graph shows the first 20 seconds of an object's journey. What happened between 3 and 5 seconds?

The speed-time graph shows the first 20 seconds of an object's journey. Between 5 and 10 seconds the object was accelerating at a rate of {{}} m/s$$^2$$ ?

The speed-time graph shows the first 20 seconds of an object's journey. Between 10 and 15 seconds the object was decelerating at a rate of {{}} m/s$$^2$$ ?

What do we plot on the $$x$$-axis of a distance-time graph?

This distance-time graph shows an object moving at constant speed. The object is travelling at {{}} km/h.

Which of these is equivalent to $$\frac{a}{b}$$?

Exit Quiz

Deceleration is the rate at which the of an object is decreasing.