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Listed under:  Mathematics  >  Statistics and probability
Teacher resource

Make your own luck - unit of work

This unit explores the mathematics of chance, the notion of probability and how we can influence these factors.

Teacher resource

Comparing data

This is a website designed for both teachers and students that addresses data comparison from the Australian Curriculum for year 9 students. It contains material on comparing data by developing questions, conducting data collection, displaying data and exploring and interpreting that data using a range of strategies. There ...

Interactive resource

Random or not: analyse numbers of jubes (1:1:1)

Test a machine that randomly packages three types of fruit jubes: penguin, fish or frog. Notice that each jube type is equally likely to be produced within a packet of 12 jubes. Look at patterns in numbers of jube types, such as 3 penguins, 4 fish and 5 frogs (the most common in this sample). Analyse the results of large ...

Interactive resource

Random or not: analyse numbers of jubes (1:1)

Test a machine that randomly packages two types of fruit jubes: penguin or frog. Notice that each jube type is equally likely to be produced within a packet of 12 jubes. Look at patterns in numbers of jube types, such as 5 penguins and 7 frogs (the most common in this sample). Analyse the results of large samples. Compare ...

Interactive resource

Random or not: analyse numbers of jubes (2:1)

Test a machine that randomly packages two types of fruit jubes: fish or frog. Notice that frog jubes are twice as likely to be produced within a packet of 12 jubes. Look at patterns in numbers of jube types, such as 4 fish and 8 frogs (the most common in a sample). Analyse the results of large samples. Compare the number ...

Interactive resource

Random or not: analyse runs of jubes (1:1:1)

Test a machine that randomly packages three types of fruit jubes: kookaburra, koala and kiwi. Notice that each jube type is equally likely to be produced within a packet of 12 jubes. Look at patterns in sequences of jube types such as 3 koala jubes occurring in a row. Analyse the results of large samples. Compare the longest ...

Interactive resource

Random or not: analyse runs of jubes (1:1)

Test a machine that randomly packages two types of fruit jubes: kookaburra and kiwi. Notice that each jube type is equally likely to be produced within a packet of 12 jubes. Look at patterns in sequences of jube types such as 3 kiwi jubes occurring in a row. Analyse the results of large samples. Compare the longest runs ...

Interactive resource

Random or not: analyse runs of jubes (2:1)

Test a machine that randomly packages two types of fruit jubes: kookaburra and koala. Notice that koala jubes are twice as likely to be produced within a packet of 12 jubes. Look at patterns in sequences of jube types such as 3 koala jubes occurring in a row. Analyse the results of large samples. Compare the longest runs ...

Interactive resource

Random or not: analyse alternating jubes (2:1)

Test a machine that randomly packages two types of fruit jubes: kookaburra and koala. Notice that koala jubes are twice as likely to be produced within a packet of 12 jubes. Look at patterns in sequences of jube types such as koala, kookaburra, koala, kookaburra, koala (run of 5). Analyse the results of large samples. Compare ...

Interactive resource

Random or not: analyse alternating jubes (1:1)

Test a machine that randomly packages two types of fruit jubes: kookaburra and kiwi. Notice that each jube type is equally likely to be produced within a packet of 12 jubes. Look at patterns in sequences of jube types such as kookaburra, kiwi, kookaburra, kiwi (run of 4). Analyse the results of large samples. Compare the ...

Collection

Data - Years 5 and 6

The 11 learning objects in this collection relate to the use, collection, display, comparison and interpretation of statistical data. Objects in the first category, statistical graphs, enable students to compare and use a broad range of statistical graphs appropriately. Objects in the second category, surveys, explore and ...

Dataset

Australian Historical Population Statistics to 2014 - dataset

The dataset provides statistics about the population of Australia in terms of age and sex from 1901 to 2014. It is made available by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

Teacher resource

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.

Teacher resource

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 ...

Teacher resource

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 ...

Interactive resource

Dice duels: load a pair of dice [ESL]

Make biased dice. Weight (load) dice to favour one of the six numbers. For example, load the number five on both dice so that it is three times more likely to come up than any other face. Test ideas about bias by rolling the loaded dice. Examine the sum of the two numbers rolled. Look at demonstrations of the mathematical ...

Interactive resource

Graph investigator: getting to school [ESL]

How long do most students take to get to school? Select the appropriate data sets and choose a useful graph type to investigate this question. See the data presented in the chosen graph type and draw a conclusion about this question. Explore different graph types such as scatter plots, line graphs and histograms. This learning ...

Interactive resource

Graph investigator: homework hours [ESL]

Does the average number of hours spent on homework increase with year level? Select the appropriate data sets and choose a useful graph type to investigate this question. See the data presented in the chosen graph type and draw a conclusion about this question. Explore different graph types such as scatter plots, line graphs ...

Interactive resource

Fix the matchbox machine: speed

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Look at boxplots made after taking samples of 100 matchboxes. Analyse the data and identify whether results are within the tolerance range. Adjust the machine's scoop size (if needed) to make it work correctly. ...

Interactive resource

Dice duels: fair or unfair?

Test dice to see if they have been weighted (loaded) to favour one of the six numbers. Explore how many rolls are needed for you to be reasonably sure of a conclusion. Compare the shape of theoretical data distributions with experimental results. This learning object is one in a series of 11 objects.