Plot linear relationships on the Cartesian plane, with and without the use of digital technologies (ACMNA193)
Outcomes

Use objects to build a geometric pattern, record the results in a table of values, describe the pattern in words and algebraic symbols, and represent the relationship on a number grid
Examples

Recognise a given number pattern (including decreasing patterns), complete a table of values, describe the pattern in words and algebraic symbols, and represent the relationship on a number grid
Examples

Use a rule generated from a pattern to calculate the corresponding value for a larger number
Examples

Form a table of values for a linear relationship by substituting a set of appropriate values for either of the pronumerals and graph the number pairs on the Cartesian plane, eg given y = 3x + 1, form a table of values using x = 0, 1 and 2 and then graph t
Examples

Extend the line joining a set of points on the Cartesian plane to show that there is an infinite number of ordered pairs that satisfy a given linear relationship
Examples

Derive a rule for a set of points that has been graphed on the Cartesian plane
Examples