Graphs of Practical Situations
Exponential, quadratic and reciprocal graphs and models, and miscellaneous practical graph problems.
Active lessons
7
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
7 of 7 active
Lesson 1
9A Exponential Graphs
Recognise and interpret exponential graphs: growth versus decay, the y-intercept, and the asymptote.
Lesson 2
9B Exponential Models
Model exponential growth and decay using repeated multiplication and growth/decay factors.
Lesson 3
9C Quadratic Functions
Identify concavity, intercepts, vertex and axis of symmetry of quadratic functions.
Lesson 4
9D Quadratic Models
Recognise and interpret quadratic models including parabola shape, opening direction, vertex, intercepts, and practical context restrictions.
Lesson 5
9E Reciprocal Graphs
Recognise inverse variation y = k/x from a graph or table, find k, and predict how y changes.
Lesson 6
9F Reciprocal Models
Apply inverse variation to contexts such as workers and time, speed and time, and pressure and volume.
Lesson 7
9G Miscellaneous Problems
Choose and tell apart linear, quadratic, exponential and reciprocal models from data, shape or context.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.