Myths about teaching can hold you back
- Year 11•
- Foundation
Problem solving with real-life graphs
I can use my knowledge of interpreting real-life graphs to solve problems.
- Year 11•
- Foundation
Problem solving with real-life graphs
I can use my knowledge of interpreting real-life graphs to solve problems.
Lesson details
Key learning points
- Real life graphs present a visual model of a situation.
- Linear graphs are not always the best representation.
- The different parts of the graph describe different parts of the whole situation.
Keywords
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Gradient - The gradient is a measure of how steep a line is. It is calculated by finding the rate of change in the $$y$$-direction with respect to the positive $$x$$-direction.
Common misconception
When matching, or sketching, distance-time and speed-time graphs pupils may think these have a similar shape.
Questioning helps. Ask pupils to explain what is happening on a variety of graphs. For example, "A diagonal line with positive gradient on a speed-time graph. What is happening?" "A horizontal line on distance-time graph. What is happening?"
To help you plan your year 11 maths lesson on: Problem solving with real-life graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Problem solving with real-life graphs, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Real-life graphs unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A linear graph like this shows __________ between $$x$$ and $$y$$.

Q2.A constant rate of change on a distance-time graph shows __________.

Q3.This distance-time graph shows the journey of a cyclist. When were they travelling fastest?

Q4.This distance-time graph shows the journey of a cyclist. When did the cyclist stop?

Q5.A horizontal line on this graph represents __________.

Q6.This speed-time graph shows the journey of a car. When is it travelling fastest?

Assessment exit quiz
6 Questions
Q1.This graph shows __________ rate of change between speed and time.

Q2.Which speed-time graph matches this distance-time graph?




Q3.Which distance-time graph matches this speed-time graph?




Q4.Match these descriptions to the graph of this car journey.

Fastest constant speed -Â
d
Acceleration -Â
c
Deceleration -Â
a
Slowest constant speed -Â
b
Q5.Which moment represents the longest stop on this displacement-time graph?

Q6.Which section shows the fastest speed?
