AC9M10A05 Year 10 Mathematics

This Content Descriptor from Year 10 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

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

Elaborations

• 1 applying the graphing zoom functionality of digital tools and systematically refining intervals to identify approximate location of points of intersection of the graphs of \(2\) functions, such as \(x^2=2^x\)
• 2 applying a bisection algorithm to determine the approximate location of the horizontal axis intercepts of the graph of a quadratic function such as \(f(x)=2x^2-3x-7\)
• 3 applying transformations to the graph of \(x^2+y^2=1\)
• 4 identifying the coordinates of any points of intersection of the graph of a linear function with the graph of a quadratic function or a circle
• 5 identifying intervals on the real number line over which a given quadratic function is positive or negative
• 6 using a table of values to determine when an exponential growth or decay function exceeds or falls below a given value, such as monitoring the trend in value of a share price in a context of exponential growth or decay
• 7 investigating how functions and relations serve as the mathematical underpinnings of machine learning, allowing data to be transformed, models to be defined and optimisation to occur

Related Achievement Standards