Myths about teaching can hold you back
- Year 11•
- Higher
Estimating journeys from non-linear graphs
I can estimate the distance travelled for non-linear speed-time graphs.
- Year 11•
- Higher
Estimating journeys from non-linear graphs
I can estimate the distance travelled for non-linear speed-time graphs.
Lesson details
Key learning points
- For non-linear graphs, this can be estimated by considering a trapezium.
- The more trapezia used, the better the estimate.
Keywords
Estimate - A quick estimate for a calculation is obtained from using approximate values, often rounded to 1 significant figure.
Common misconception
When students find an area they are used to communicating the answer in units$$^2$$. The area under a speed-time graph tells us the distance travelled though.
On the graph the base is time and the height is speed which is distance over time. Distance over time, multiplied by time, leaves just distance.
To help you plan your year 11 maths lesson on: Estimating journeys from non-linear graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Estimating journeys from non-linear 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
Prior knowledge starter quiz
6 Questions
Q1.An ________ is an estimate for a calculation which is greater than the exact answer.
Q2.How far has the particle modelled in this graph travelled after $$5$$ seconds?

Q3.Which of the below is the formula for the area of a trapezium?
Q4.How far has the particle modelled in this graph travelled after $$5$$ seconds? metres.

Q5.How far has the particle modelled in this graph travelled after $$5$$ seconds? metres.

Q6.How far has the particle modelled in this graph travelled after $$5$$ seconds? metres.

Assessment exit quiz
6 Questions
Q1.The curve models the movement of a particle. If we had scales on the axes and could find the area of the triangle it would give us __________ for the distance travelled.

Q2.Use the polygon mapped onto this graph to estimate the distance travelled by the vehicle. Distance $$\approx$$ metres.

Q3.The area of the polygon will estimate the distance travelled by the vehicle modelled in this graph but this will be __________.

Q4.Which of these groups of polygons will give us the best estimate for the distance modelled by this curve?



Q5.Use these polygons to estimate the total distance travelled by the particle modelled by this curve. Distance $$\approx$$ metres.

Q6.Use these polygons to estimate the total distance travelled by the particle modelled by this curve. Distance $$\approx$$ metres.
