- MA5-RAT-P-02 analyses and constructs graphs relating to rates of change
📖 Prior Knowledge
| Content | Prerequisite relationships |
|---|---|
| Two-dimensional Spatial Structure B | - Find the area of composite figures → Find distance from the area under a speed-time graph |
| Ratios and Rates | - Interpret distance–time graphs → Analyse graphs with a constant rate of change - Interpret distance–time graphs → Interpret distance–time graphs with variable speed |
| Variation and Rates of Change A | - Recognise and graph direct variation → Analyse graphs with a constant rate of change |
Analyse graphs that are decreasing or increasing at a constant rate.pdf
- Describe direct variation graphs as increasing at a constant rate and interpret the gradient of the line 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.pdf
- Interpret distance–time graphs when the speed is variable, describing the rate of increase or decrease, the initial and final points, constant relationships represented by straight lines and variable relationships represented by curved lines
- Describe the rate of change between variables in a variety of contexts including direct and inverse variation
- 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.pdf
- Represent a given description of a variable rate of change of one quantity over time