# F02S: Indirect Measure 1

\$5.00 each

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Stage/No: F02 Length: 4 weeks CF Outcomes: 10, 11 Levels: 5, 6, 7 Due out: available now

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F02S: Indirect Measure 1 4 week module Old ISBN: 1876800399 New APN: 9781876800390

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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 10 and 11 from "Measurement" are specific to this module.

10. Select, interpret and combine measurements, measurement relationships and formulae to determine other measures indirectly.

11. Make sensible direct and indirect estimates of quantities and are alert to the reasonableness of measurements and results.

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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.

### Major Student Outcomes

During this module students should have been developing the following outcomes:

Working mathematically outcomes at levels 5, 6 and 7 are interwoven with the structure of these modules.

The outcomes below are dealt with specifically in this module.

Outcomes from different strands are integrated into this module.

### Measurement

M5.3 Makes sensible estimates of length, area, mass, capacity and time in standard units and identifies unreasonable estimates of things.

M6.3 Estimates in situations in which it is sensible to do so (including where direct measurement is impossible or impractical), and judges whether estimates and measurements are reasonable.

M5.4b Understands and uses scale factors and the effect of scaling linear dimensions on lengths, areas and volumes of figures and objects produced on grids and with cubes.

M6.4b Understands and uses similarity and PythagorasÃ¢â‚¬â„¢ theorem to solve problems involving triangles and scale drawing.

M7.4b Understands and uses similarity relationships in and between figures and objects, including with the trigonometric ratios.

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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 4 weeks (16 hours). This may vary upward according to the ability and prior understandings of the students.

### Outcomes Levels:

Includes outcomes from levels 5, 6 and 7.

### 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 F02, that is stage F module 2.

The content of this module is:

Scale diagrams
Pythagorean theorem
Similarity
Tangent ratio

### Language development:

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

hypotenuse
tangent
similar
scale
scale drawing
dilation
Pythagorean theorem

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 3.3

• M 3.2 Find the length of inaccessible distance, using scale diagrams.

From Maths Development 4.3

• M 4.1 Determine and use the Pythagorean relationship.
• M 4.2 Determine the tangent of an angle, using a variety of methods.
• M 4.3 Use the tangent ratio to determine unknown sides and angles of right triangles.
• M 4.4 Solve right triangles, using a variety of techniques.

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