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.