Mathematics / Year 10 / Statistics and Probability / Chance

Curriculum content descriptions

Investigate reports of studies in digital media and elsewhere for information on their planning and implementation (ACMSP277)

Elaborations
  • evaluating the appropriateness of sampling methods in reports where statements about a population are based on a sample
  • evaluating whether graphs in a report could mislead, and whether graphs and numerical information support the claims
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Data analysis,  Sampling (Statistics)

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.

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 ...

Online

reSolve: Statistics - The Taste of Water

This lesson introduces students to informally conducting experiments to test hypotheses. Students test whether they can taste the difference between tap and bottled water by collecting and interrogating experimental data. They then compare their findings with the likelihood of their findings being obtained by chance. The ...

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TIMES Module 8: Statistics and Probability: data investigation and interpretation, year 10 - teacher guide

This is a 29-page guide for teachers. Box plots are introduced as another graphical tool and are used for comparisons of data. Scatter plots are used to explore relationships between quantitative (usually continuous) variables.

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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 ...

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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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Off the scale

This lesson introduces students to the idea of a log scale, a seemingly perplexing way to present data. The lesson begins with an exploration of examples when a linear scale is inappropriate and concludes with a plotting activity using authentic data from the COVID-19 pandemic.

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 ...

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Work sample Year 10 Mathematics: Predict a winner

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 ...

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

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 ...

Online

Statistical analysis: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Statistical analysis. Students are competent with comparing data distributions and are fluent with the relevant mathematical vocabulary. Extend students to work with other data displays, such as box plots, to represent continuous numerical variables. Review the distinction ...

Online

Interpret and discuss data displays: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Interpret and discuss data displays. Students are further equipped to analyse and evaluate claims, inferences and reported conclusions of statistics reported in the media. Students use critical-thinking skills to investigate many forms of data representation, such as ...

Online

Conduct statistical investigations: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Conduct statistical investigations. Students continue to conduct statistical investigations and are introduced to contexts that involve bivariate data. It is important to review the meaning and relationship between dependent and independent variables, as well as the ...

Online

Conduct chance experiments: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Conduct chance experiments. 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

Sites2See: Spreadsheets for mathematics

A page with example resources, exemplars and advice to help integrate spreadsheet use in teaching and learning for mathematics. Includes suggestions for use, tutorials and information on research and benefits, plus links to a range of related resources, including a teacher guide for using Microsoft Excel in the classroom. ...

Video

Big data, better hospitals

Overcrowding in hospitals is one of the biggest challenges facing our healthcare system . In order to reduce hospital waiting times, the Patient Admission Prediction Tool (PAPT) uses historical data to predict how many patients, and with what kinds of injuries, are expected to arrive at the emergency department each day ...

Online

Sustainable agriculture: agri-environmental indicators

This is a web resource that provides a database of agri-environmental indicators for environmental performance of agriculture in OECD countries between 1990 and 2008. The data table can be customised, with options to view by country or by theme: land, energy, air, nutrients, soil, biodiversity, pesticides, water, farm management ...

Online

Australian reported crime victims since 2010 - dataset

This is a dataset that provides statistics about crimes reported by victims from 2010 to the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

Online

The First Fleet - dataset collections

The dataset provides information about 780 of the convicts transported to Australia on the First Fleet ships 'Alexander', 'Charlotte', 'Lady Penrhyn', 'Friendship', 'Prince of Wales' and 'Scarborough' in 1788. The dataset includes information on items such as the convict's name, occupation, crime, date of trial and term ...