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

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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.

Interactive

The geometer's warehouse

This web-based, multimedia resource focuses on the geometry of the Stage 4 and Stage 5 Mathematics syllabus. It comprises 70 dynamic html worksheets, each exploring a different outcome in Stage 4 and Stage 5 geometry.

Interactive

Laptop wrap: Geometry gems

A page with a focus on using GeoGebra to enhance student understanding of various geometric properties and the importance of reasoning in proof. A laptop-friendly resource that includes supporting activities and links to resources.

Interactive

Laptop wrap: Surveying statistics

In this laptop-friendly resource, students summarise the statistical process, design a sample survey and design a community brochure that displays large data sets using Excel charts.

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Data in Gapminder world

This resource is a dataset providing data for a number of indicators of development over time for more than 200 countries. The indicators fall into the following categories: population, health, economy, environment, work, infrastructure, energy and education, with over 500 sets of data in total. Each set of data can be ...

Interactive

Algebra four

This is an interactive game for two students in which they solve algebraic equations, similar to 'Connect four'. The players can choose from problems that are one- or two-step, quadratic, have distributive properties or have variables on both sides, and more than one problem type can be chosen. The length of time each player ...

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TIMES Module 22: Number and Algebra: consumer arithmetic - teacher guide

This is a 23-page guide for teachers, providing an introduction to the financial mathematics component of the number and algebra strands for years 9 and 10. A brief history of the concept of money concludes the module.

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TIMES Module 22: Measurement and Geometry: scale drawings and similarity - teacher guide

This is a 41-page guide for teachers. It contains an introduction to scale drawings and similarity, and in particular the tests for triangles to be considered similar. Applications of similarity are included throughout the module.

Interactive

Waste and materials – sustainability action process (Years 7–10)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

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Algorithms

Find out about algorithms. Use this topic from the Digital Technologies Hub to learn more, get ideas about how to teach about it, find out what other schools are doing and use the applications and games in the classroom.

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Work sample Year 10 Mathematics: Mathematics assignment

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 10 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Amp up the volume

This set of learning activities challenges students to build a portable amplifier that passively amplifies the sound produced by a smartphone. The module includes a comprehensive teacher guide, curriculum links, materials lists, design process guides and printable student resource sheets. The resource also provides an editable ...

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Deciding dosages

This set of learning activities challenges students to develop a mathematical model that can be used to determine optimal dosage regimes and supports students to better understand medical advice. The module includes a comprehensive teacher guide, curriculum links, exemplars of student responses, vocabulary lists and printable ...

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Investing

This lesson explores what investing is, different types of investments and their risks, how to invest safely and where to begin. The resource is part of a suite of lesson plans and activities from MoneySmart, designed to bring everyday financial topics into the classroom.

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How wrong?

In this lesson, students explore the importance of measurement errors by considering the ‘coastline paradox’ and real-world applications, including in aviation, sports and space exploration. They learn how measurement errors compound in volume calculations by exploring the impact of rounding when finding the volumes of ...

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Capital Airways: Part 1

In this lesson students are introduced to the concept of a network through an airline route map. The task extends into a detailed mathematical modelling activity with students exploring in teams how to re-design the network map to improve the airline’s profitability. This lesson is in two parts and is followed by Capital ...

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Capital Airways: Part 2

This is the second lesson in the Capital Airways series and follows the prior lesson Capital Airways: Part 1. Students investigate a network through an airline route map. The task is a mathematical modelling activity whereby students collaborate to re-design the network map to improve the airline’s profitability.

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TIMES Module 15: Statistics and Probability: chance, year 10 - teacher guide

This is a 15-page guide for teachers. This module continues the development of probability. In year 10, students consider situations involving two or three stages or two or three variables. In the special case of two- or three-step chance experiments, they assign probabilities to outcomes in situations involving selections ...

Video

My Five Cents: Why investing can be risky

Planning to get rich quick by investing one day? Before you jump in, let Gen Fricker explain some of the risks involved with different types of investments. Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

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Would you rather …?

In this lesson students collect data, creating and analysing two-way tables, by playing the popular game ‘Would you rather…?’ Students collect data in a two-way table, extract and describe data in two-way tables using boolean statements, identify and begin to analyse/explain association between two variables.