Content description VC2M8A05

Mathematics Version 2.0 / Level 8 / Algebra

Content description

experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

Elaborations

using graphing software to investigate the effect of systematically varying parameters of linear functions on the corresponding graphs, making and testing conjectures; for example, making a conjecture that if the coefficient of $x$ is negative, then the line will slope down from left to right
using graphing software to systematically contrast the graphs of $y = 2 x, - y = 2 x, y = - 2 x$ and $- y = - 2 x$ with those of
$y < 2 x, - y < 2 x, y < - 2 x$ and $- y < - 2 x$ and those of $y > 2 x, - y > 2 x, y > - 2 x$ and $- y > - 2 x$ , making and testing conjectures about sign and direction of the inequality
using digital tools to investigate integer solutions to equations such as $2 x + 3 y = 48$

Code

VC2M8A05

Curriculum resources and support

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