Advanced problem solving with real-life graphs
I can use my knowledge of interpreting real-life graphs to solve problems.
Advanced problem solving with real-life graphs
I can use my knowledge of interpreting real-life graphs to solve problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Different speed/time graphs can be interpreted and compared.
- The area under the graph can also be interpreted in context.
- Circle theorems can be demonstrated using coordinate geometry.
Keywords
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.
Tangent - A tangent of a circle is a line that intersects the circle exactly once.
Common misconception
The intersection of two different graphs on a speed-time graph is the point where the faster particle overtakes the slower moving particle.
Remind pupils that this is a speed-time graph and ask, "How do we find the distance travelled on a speed-time graph?". Then, ask pupils to calculate how far each particle has travelled at the point of intersection.
To help you plan your year 11 maths lesson on: Advanced 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: Advanced 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
Starter quiz
6 Questions





Exit quiz
6 Questions




