# H06S: Probability

\$4.00 each

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Stage/No: H06 Length: 3 weeks CF Outcomes: 12, 14 Levels: 6, 7, 8 Due out: available now

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H06S: Probability 3 week module Old ISBN: 1876800658 New APN: 9781876800659

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This information is found in the wrap around pages of the teachers module. It details the Curriculum Framework Outcomes addressed in the module.

Outcomes 1 & 2 should be an inherent part of all mathematics lessons.

1. Show a disposition to use mathematics to assist with understanding new situations, solving problems and making decisions, showing initiative, flexibility and persistence when working mathematically and a positive attitude to their own continued involvement in learning and doing mathematics.

2. Appreciate that mathematics has its origins in many cultures, and its forms reflect specific social and historical contexts, and understand its significance in explaining and influencing aspects of our lives.

Outcomes 3, 4 & 5 "Working Mathematically" are an integral part in the design of every module. These outcomes determined the three stage learning process developed in each module.

3. Call on a repertoire of general problem-solving techniques, appropriate technology and personal and collaborative management strategies when working mathematically.

4. Choose mathematical ideas and tools to fit the constraints in a practical situation, interpret and make sense of the results within the context and evaluate the appropriateness of the methods used.

5. Investigate, generalise and reason about patterns in number, space and data, explaining and justifying conclusions reached.

Outcomes 12 and 14 from Ã¢â‚¬Å“Chance & DataÃ¢â‚¬Â are specific to this module.

12. Understand and use the everyday language of chance and make statements about how likely it is that an event will occur based on experience, experiments and analysis.

14. Locate, interpret, analyse and draw conclusions from data, taking into account data collection techniques and chance processes involved.

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### Major Student Outcomes

This information is found in the wrap around pages of the teachers module. It details the major student outcomes that should have been developed during the module. (Student Outcome Statement numbering is first, e.g. SOS 5.1a, Progress Map numbering is bracketed e.g. [PM 15.5])

### Working Mathematically

Working mathematically outcomes at levels 6, 7 and 8 are interwoven with the structure of these modules.

### Chance and Data

C&D6.1 [C&D12.6] Estimates probabilities and proportions based on primary or secondary data collection and assigns probabilities for one- and two-stage events by reasoning about equally likely outcomes.

C&D7.1 [C&D12.7] Estimates probabilities, proportions, means and medians based on primary and secondary data collection and assigns probabilities using complementarity and independence.

C&D6.4 [C&D14.6] Interprets, makes comparisons and describes relationships in collected and published data from tables, diagrams, plots, graphs, prose, summary statistics and databases, distinguishing sample and population data.

C&D7.4 [C&D14.7] Selects and interprets information from a wide range of collected and published data including to construct arguments to support or refute a position taken.

C&D8 [C&D12.8, 14.8] Comments on data in terms of what conclusions might reasonably be drawn from them, distinguishing between conclusions reached on the basis of evidence and those reached on other grounds, such as personal opinion or habit.

### Other Strands

To a lesser degree some outcomes from other strands are also integrated into this module.

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This information is found in the wrap around pages of the teachers module. It gives details about the module.

### Module Length:

Approximately 3 weeks (12 hours). This may vary upward according to the ability and prior understandings of the students.

### Outcomes Levels:

Includes outcomes from levels 6, 7 & 8.

### Stage/Number:

Each Integrated Maths Module has been assigned a stage and number. The stage is designed to help teachers in their sequencing of modules. The number is for identification of each module.

This module is H06, that is stage H module 6.

The content of this module is:

Sample spaces
Two way tables
Complementary events
Compound events
Counting techniques

### Language development:

The following terms (or derivations of them) are an essential part of this module:

probability
relative frequency
simulation
random
random number
complementary events
independent events
sample space
odds
event
tree diagram

These terms are in bold whenever they appear in this text.

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The structure of all modules is to present materials in three stages:

### Exploration - Formalisation - Application

The files available here for downloading are a Sample Activity from the Exploration Stage of this module and a Sample Application from the Application stage of this module.

These files are available as pdf files. To view and print these files you will need a program like Adobe Acrobat Reader which is available free here.

These links are to the sample files:

Sample Activity
Sample Application

This information is found in the wrap around pages of the teachers module produced for Western Australian schools. It details the links to the old Unit Curriculum objectives for schools trying to adapt programmes etc.

Unit Curriculum Objectives covered are:

From Maths Development 6.3

• I 6.1 Construct sample spaces to develop the concepts of complementary and compound events.
• I 6.5 Read and interpret two-way tables.
• I 6.6 Use sample spaces as a method of counting in determining probabilities, including those of compound and complementary events.
• I 6.7 Make inferences from two-way tables, using notions of probability.

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