Myths about teaching can hold you back
- Year 10•
- Foundation
Graphs showing inverse proportion
I can recognise inverse proportion graphically and can interpret graphs that illustrate inverse proportion.
- Year 10•
- Foundation
Graphs showing inverse proportion
I can recognise inverse proportion graphically and can interpret graphs that illustrate inverse proportion.
Lesson details
Key learning points
- Inverse proportion can be recognised graphically.
- The equation of an inverse proportion graph is of the form y = k/x
- An alternative way of writing the equation is y α 1/x
Keywords
Inverse proportion - Two variables are inversely proportional if there is a constant multiplicative relationship between one variable and the reciprocal of the other.
Common misconception
Solutions for context-based problem can be listed as coordinate pairs with units e.g. 6 workers, 60 hours.
Solutions should always be fully interpreted in relation to the context e.g. It would take 6 workers 60 hours to paint the building.
To help you plan your year 10 maths lesson on: Graphs showing inverse proportion, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Graphs showing inverse proportion, 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 Linear graphs unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.If it takes 2 hours to walk 6 miles, 3 hours to walk 9 miles, and 4 hours to walk 12 miles then the variables time and distance are said to ...
Q2.Which of these graphs shows a directly proportional relationship?



Q3.This time distance graph shows the relationship between the hours walked and the distance travelled in miles. What do the coordinates (5, 20) show?

Q4.What is the equation of the line in this distance-time graph? Use $$d$$ for distance travelled and $$t$$ for time taken.

Q5.For the equation $$s={30\over{t}}$$, when $$t=7.5$$, $$s=$$ .
Q6.For the equation $$s={30\over{t}}$$, when $$s=7.5$$, $$t=$$
Assessment exit quiz
6 Questions
Q1.When two variables are indirectly proportional, as one variable increases the other ...
Q2.Inversely proportional relationships are modelled by the relationship ...
Q3.Which of these graphs shows a relationship of indirect proportion?




Q4.Why can this not be a graph of indirect proportion?

Q5.This graph plots the time taken ($$t$$) in days for a varying number of people ($$p$$) to dig a hole. How long would it take 3 people?

Q6.This graph shows the relationship between people and time required to build a wall. The point marked shows that 10 people would take 3 days. It would take 3 people days to build the wall.
