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K–10Mathematics K–10 Syllabus (2022)

Content

Stage 5

Variation and rates of change B (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Analyse graphs that are decreasing or increasing at a constant rate
  • Describe Loading  Loading  as increasing at a Loading  rate and interpret the Loading  of the Loading  as the rate of change

  • Interpret and analyse further graphs that exhibit a constant rate of change, including those that are decreasing at a constant rate

Analyse the relationship between graphs and variable rates of change
  • Interpret distance–time graphs when the speed is Loading , describing the rate of increase or decrease, the initial and final points, constant relationships represented by straight lines and variable relationships represented by Loading  lines

  • Describe the rate of change between variables in a variety of contexts including direct and Loading 

  • Describe qualitatively the rate of change of a graph, using terms such as increasing at a decreasing rate

Construct graphical representations of rates of change
  • Represent a given description of a variable rate of change of one quantity over time

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