Mathematics / Year 10 / Statistics and Probability / Data representation and interpretation

Curriculum content descriptions

Use scatter plots to investigate and comment on relationships between two numerical variables (ACMSP251)

Elaborations
  • using authentic data to construct scatter plots, make comparisons and draw conclusions
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Data analysis,  Scatter plots

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reSolve: Statistics - Student Profiling

In this sequence of two lessons, students critically assess the Census@School 2014 Questionnaire and make decisions on how they would analyse the data given the types of questions and response. They describe the life of a single participant using their survey data and use a range of statistical tools to compare their participant ...

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reSolve: Mathematical modelling: What makes us happy?

In this sequence of five lessons, students investigate the relationship between wealth and happiness using real-world data, constructing and interpreting scatterplots, lines of best fit, and r^2 values. They compare models, make predictions, and consider the limits of correlation in explaining real-world phenomena. Key ...

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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 ...

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reSolve: Trigonometry: Rule of Twelfths

This sequence of three lessons gives students the opportunity to explore how tidal variations can be modelled and predicted using trigonometric functions and approximated with useful 'rules of thumb'. Students use real tidal data to explore how sailors make predictions at sea, draw their own graphs using a range of approximation ...

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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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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.

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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 ...

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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 ...

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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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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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 ...

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 ...