Inverse proportion in context
Lesson details
Learning outcome
I can recognise inverse proportion graphically and use inverse proportionality in a range of contexts.
Key learning points
- Inverse proportion can be represented on a graph.
- Key features can be used to recognise inverse proportion on a graph.
- Inverse proportion can be used in a number of contexts.
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
The graph representing a inversely proportional relationship is of the form x + y = a and will eventually meet the axes.
The dimensions of the rectangle are ideal for highlighting this, particularly the latter part as a you cannot have a rectangle with a length of 0 cm.
Teacher tip
Use a dynamic graphing package to show the area of the rectangle problem. Question: 'Can I have a rectangle with a width 0f 0.005cm?' you can use the graph to show that you can.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Two variables are in proportion if they have a __________.
Q2.5 miles = 8 kilometres. So 12 miles is kilometres.
Q3.Convert 1 m³ into cm³.
Q4.The cost of a box of pens is £4.80. Five boxes of pens cost £ .
Q5.If $20 = £15.20, which of the following are true?
Q6.A recipe needs 180 ml of milk to make 15 scones. You can make scones using 15 litres of milk.
Assessment exit quiz
6 Questions
Q1.Two variables are inversely proportional if there is a constant multiplicative relationship between one variable and the __________ of the other variable.
Q2.Which of the following is a graph representing inverse proportion?
Q3.Which of the following situations illustrate an inversely proportional relationship?
Q4.A and B are inversely proportional. The missing value is .
Q5.A and B are inversely proportional. The missing value is .
Q6.It takes 3 people 4 days to build a wall. It should take 5 people days to build the same wall.
To help you plan your 8 maths lesson on: Inverse proportion in context, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 8 maths lesson on: Inverse proportion in context, 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 3 maths lessons from the Understanding multiplicative relationships: percentages and proportionality unit, dive into the full secondary maths curriculum, or learn more about lesson planning.