Probability and statistics in game design (4 lessons)
In this sequence of 4 lessons, students analyse data, bias, and probability using games to explore fairness, strategies, and the difference between experimental and theoretical results.
Additional details |
|
| Year level(s) | Year 9 |
|---|---|
| Audience | Teacher |
| Purpose | Teaching resource |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Explicit teaching, Mathematics investigation, Concrete Representational Abstract model |
| Keywords | summative assessment, real-world scenarios, bias, sampling methods, independent events, theoretical probabilities, experimental probabilities |
Curriculum alignment |
|
| Curriculum connections | Numeracy |
| Strand and focus | Statistics, Probability |
| Topics | Chance and probability, Statistical investigations |
| AC: Mathematics (V9.0) content descriptions |
AC9M9P03
Design and conduct repeated chance experiments and simulations, using digital tools to compare probabilities of simple events to related compound events, and describe results
AC9M9P02
Calculate relative frequencies from given or collected data to estimate probabilities of events involving "and", inclusive "or" and exclusive "or"
AC9M9P01
List all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes
AC9M9ST03
Represent the distribution of multiple data sets for numerical variables using comparative representations; compare data distributions with consideration of centre, spread and shape, and the effect of outliers on these measures
AC9M9ST02
Analyse how different sampling methods can affect the results of surveys and how choice of representation can be used to support a particular point of view
AC9M9ST01
Analyse reports of surveys in digital media and elsewhere for information on how data was obtained to estimate population means and medians |
| Numeracy progression |
Interpreting and representing data (P8)
Understanding chance (P6) |
Copyright details |
|
| Organisation | Victoria State Government Department of Education |
| Copyright | © State Government of Victoria. Creative Commons BY 4.0. |
Related resources
-
Probability inquiry
This prompt explores the probability of chosing a ball of a given colour.
Resource details -
Coins inquiry
A lesson exploring the concept of probability using mathematical notation by flipping two and four coins.
Resource details -
reSolve: Monte Carlo simulations
A series of inquiry-based lessons explores the Monte Carlo method for using statistical sampling to solve problems.
Resource details -
reSolve: Mathematical modelling – how risky is life?
This is a series of inquiry-based lessons about modelling the risk of death by various causes, using probability, statistics and proportional thinking.
Resource details -
Data and statistics (7 lessons)
In this sequence of 10 lessons, students analyse and compare numerical data using histograms, stem-and-leaf plots, measures of centre and sampling methods.
Resource details -
Probability (7 lessons)
In this sequence of 7 lessons, students explore independent and compound events through two-way tables, tree diagrams and conducting simulations.
Resource details -
Mathematical processes
Different topics in maths use different mathematical processes to guide students' mathematical inquiry.
Resource details