Close message Due to scheduled maintenance on Friday 19th April 2024 between 7:00PM and 9:00PM AEST, the Scootle website may face disruption in service. We apologise for any inconvenience caused.

Mathematics / Year 10 / Statistics and Probability / Chance

Curriculum content descriptions

Use the language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language (ACMSP247)

Elaborations
  • using two-way tables and Venn diagrams to understand conditional statements
  • using arrays and tree diagrams to determine probabilities
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Critical thinking,  Conditional probability

Online

reSolve: Probability - Forensic Investigations

This lesson investigates real-world applications of probability. Students examine real-world case studies of probability being applied in misleading ways. They assess and explain the flaws in the mathematical methodology used. There is also an emphasis on accurate and inaccurate ways of communicating mathematical concepts ...

Online

Determining the probability of a good day for sowing cotton

This activity is a series of three related tasks that support the use of spreadsheets (Excel), Venn diagrams and two-way tables to develop an understanding of conditional probability when used to determine the probability of a farmer being able to sow a cotton crop. The activity is, based on real historical soil and air ...

Online

Probability calculations: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Probability calculations. Students design and conduct chance experiments relating to conditional probability using digital simulation tools to conduct multiple trials. Students are expected to interpret problems and describe their interpretations.

Downloadable

Two-up - The fairest game of all?

In this lesson, students look at the history and mathematics of Two-Up, exploring why it is considered such a fair game, and how the ‘boxer’ or game runner makes a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials required, links to supporting videos ...

Downloadable

Multi-bets

In this lesson, students will calculate both the payout and the odds for various multi-bets, demonstrating how even this increased payout does not match the probability of achieving such a bet, and therefore the risk and appeal of the bet should be weighed up. The lesson is outlined in detail including NSW curriculum links, ...

Downloadable

Assessment task: Non-transitive dice

This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to explore the outcomes of a set of non-transitive dice using probability tree diagrams, and discover their unique features. The assessment task is outlined in detail including ...

Downloadable

Sports betting

In this lesson students will take ownership of a gambling organisation. They will look at long term statistics of various sporting matches to set the initial odds and then monitor live betting to adjust the odds they are offering gamblers, in order to demonstrate how sports betting organisations guarantee they always make ...

Downloadable

Poker machines

In this lesson, students design a poker machine payout system which both guarantees a return of 85% of money invested, while also being fun and engaging for the player. Students then simulate these machines to test the ‘actual’ or real world payout of such machines, taking note of their feelings when playing. Ultimately, ...

Downloadable

How does gambling on the races work?

This lesson simulates the operation of a bookmaker to illustrate to students how easy it is to get swept up in the excitement of a race, and to show how the bookmakers are always coming out having made a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials ...

Downloadable

Easter Show games of chance

In this lesson, students will calculate the probability of an average person scoring a shot at a basketball game at the Easter Show. They will then use these probabilities to design a payout system which can absorb the losses from an average player winning big, whilst profiting from the average player who scores very poorly, ...

Downloadable

Lotto mania

In this lesson, students will simulate a lottery, and perform calculations to determine the small probability of their exact numbers being drawn from a lottery. They will also consider the financial investment that would be required to guarantee a lottery win, ultimately determining that such a strategy would end up costing ...

Downloadable

Should you swap?

This lesson explores the classic probability problem, commonly known as the Monty Hall problem: having chosen what you think is the winning door with the money behind it, should you swap to another door when Monty offers you the opportunity? Students will first use probability language to define the problem. Students will ...

Downloadable

Counter-intuitive probability

This lesson is designed to demonstrate the ways in which random chance can be counter-intuitive. Students will explore how assumptions made in probability can be risky and investigate how to perform precise calculations to answer probability questions. The lesson is outlined in detail including NSW curriculum links, learning ...

Video

How do interest rates work?

What are interest rates? What determines the interest rates in Australia? And how do interest rates affect the economy? Listen as Dr Ashton de Silva explains.

Text

Round and Round and Round

This resource is a web page containing an interactive that can be used to explore the relationships between the angles of turn that produce the same vertical and horizontal displacements. The task provides an opportunity to apply their understanding of division and recurring decimals. A 'Getting started' page, printable ...

Text

Tuning and Ratio

This resource is a web page containing a challenging problem solving task that requires an understanding of ratios and logarithms. It explains how intervals such as an octave corresponds to a particular ratio of string lengths which produce the notes. Two types of tuning based on ratios; The Pythagorean Scale and Just Intonation ...

Online

The Sydney Metro rail project – Stage 5

This inquiry-based unit of work was created, trialled and peer reviewed as part of a professional learning program in inquiry-based learning for school teachers. The professional learning courses were part of a pilot partnership between the NSW Government’s Sydney Metro transport agency and Western Sydney University. The ...

Online

Trade and Investment at a Glance

Using an illustrated report from the Department of Foreign Affairs and Trade, this Teacher guide provides ten learning sequences that engage students in the analysis and interpretation of data about Australian imports and exports. Students: identify Australia's major exports and imports; investigate international trade ...

Online

Australia's Trade through Time

Using an interactive timeline created by the Department of Foreign Affairs and Trade, this Teacher guide provides 12 series of learning experiences that engage students in the analysis and interpretation of data about Australian trade from 1900 to the present day. Students study videos, tables, images and texts in order ...

Online

Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...