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Published: 23/09/2019
16 pages

The algebra of inverse relationships

A presentation and worksheet looking at the connection between inverse relationships and their hyperbolic graphs. Students will use tables to find coordinates that follow a relationship given in words, plot the graph to find patterns, become familiar with the shape of a hyperbola and use algebra to describe the relationship.

It follows on from the Teachit maths resource The algebra of straight lines.


When we find pairs of numbers that have a specific sum or difference, the solutions follow a linear relationship.

e.g.    x + y = 6                  x – 2y = 10               3x + 4y = -12

If we plot them as coordinates, they form a straight line.

What happens when the product of two numbers is 12?

To investigate, fill in the tables to show some solutions and their coordinates.




See other resources: Algebra | Inverse operations | Non-linear graphs – general transformations | Number patterns | Rich tasks

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