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Syllabus Reference
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Download zip
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Gail Burrill
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Exploring Data: BoxPlots
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Drag points from the dot plot to observe the effect upon the box plot and the original data set.
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DA2: Data collection and sampling
DA3: Displaying single data sets
DA4: Summary statistics
DA5: Interpreting sets of data
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Steve Arnold
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Representing Data: Stem and leaf Plots
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Two tools for representing data lists using stem and leaf plots.
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DA2: Data collection and sampling
DA3: Displaying single data sets
DA4: Summary statistics
DA5: Interpreting sets of data
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Steve Arnold
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Representing and Analysing Data: Birthday Buddies
Download Student Worksheet file (PDF)
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(Suitable for CAS extension)
What is the chance of sharing a birthday with someone in your class? This simple question offers a rich context for mathematical modeling, which is potentially accessible to students from the early years of secondary school to seniors. Using TI-Nspire CAS, students are offered the tools by which they can investigate the problem and build a meaningful model, which will deepen their understanding of the problem, and help them to further appreciate the applications of mathematics to their world.
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DA1: Statistics and society
DA2: Data collection and sampling
DA3: Displaying single data sets
DA4: Summary statistics
DA5: Interpreting sets of data
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Steve Arnold
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Representing and Analysing Data: Asian Countries
Download Student Worksheet file (PDF)
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How do we make sense of large amounts of information? This is the essential task of statistics, and two main methods present themselves:
To use statistical calculations to reduce large amounts of data to small amounts of data, OR to view the information graphically.
In this activity, we use the statistical tools available to organise, to represent, and to seek to draw some conclusions from information about 25 countries in the Asia-Pacific region.
For each nation, the following facts are available:
- Country Name
- Area Total area (sq km)
- Population - est. at July 1995
- Life - Expectancy 1995 est. (years)
- GDP - GDP 1994 (US$ billions)
- GDP/caput - GDP per person 1994 est (US$)
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DA1: Statistics and society
DA2: Data collection and sampling
DA3: Displaying single data sets
DA4: Summary statistics
DA5: Interpreting sets of data
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Rex Boggs and Steve Arnold
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Representing and Analysing Data: Bar of Soap
Download Student Worksheet file (PDF)
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Do you use up the same amount of the soap in the shower each morning, or does it depend on the size of the bar of soap?
This data was collected by Rex Boggs of Glenmore State High School in Rockhampton, Queensland.
"I had a hypothesis that the daily weight of my bar of soap in my shower wasn't a linear function, the reason being that the tiny little bar of soap at the end of its life seemed to hang around for just about ever. I wanted to throw it out, but I felt I shouldn't do so until it became unusable. And that seemed to take weeks."
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DA1: Statistics and society
DA2: Data collection and sampling
DA3: Displaying single data sets
DA4: Summary statistics
DA5: Interpreting sets of data
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Steve Arnold
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Areas and PaperFolds
Download Student Worksheet file (PDF)
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Who would have thought that there could be so much mathematics in simply folding a piece of paper? This activity spans the years of secondary school, beginning with measurement, data collection and interpreting scatter plots in the early years, through linear functions, Pythagoras' Theorem and trigonometry, right through to calculus in the senior years.
The mathematical focus at each level is different - from finding the largest area to discovering functional relationships between the sides of a right-angled triangle, and on to optimisation. While algebra and calculus can be used to prove this result, it actually takes some geometry to understand why the final result is true.
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DA1: Statistics and society
DA2: Data collection and sampling
DA3: Displaying single data sets
DA4: Summary statistics
DA5: Interpreting sets of data
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Bjorn Felsager
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Random Rectangles
Download Student Worksheet file (PDF)
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What variables characterize a rectangle? What kind of relationships exists between these variables?
In this activity you will explore this, examining patterns and forms using tables, graphs and equations.
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DA2: Data collection and sampling
DA3: Displaying single data sets
DA4: Summary statistics
DA5: Interpreting sets of data
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Ian Edwards
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Environmental Mathematics: Black Bear Cubs
Download Student Worksheet file (PDF)
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The data in this activity was collected in order to better understand the health and growth patterns of black bear cubs in the wild. In their first year of life, these cubs grow from 225 grams to between 22.5 and 31.5 kilograms.
Analysis of this data involves curve fitting and some introductory calculus from first principles.
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DA1: Statistics and society
DA2: Data collection and sampling
DA3: Displaying single data sets
DA4: Summary statistics
DA5: Interpreting sets of data
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