Section 11 - Circular functions
The topic of circular functions has been broken down into the following sections:
Setting the scene: Burning daylight (Desmos)
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Desmos Activity: Burning daylight In this activity, students use circular functions to model daylight data for two US cities (Fairbanks, Alaska and Miami, Florida). They predict which city has more total daylight during a given year, and then use their model to calculate an answer to that question. |
Setting the scene: Ferris wheels (Application Task)
The hight of a carriage on a ferris wheels can be modelled by circular functions.
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Interactive model
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Application Task
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Solutions
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Ferris wheel Application Task - Part 1: Group task
Ferris wheel application task - Part 2: Individual task
Ferris wheel application task - Part 1: Group Task
Ferris wheel application task - part 2: Individual task
Ferris wheel application task - Marking report:
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Success Criteria
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Topic Resources
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Assessment Tasks
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VCAA Questions
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Other Resources
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You will be successful for the topic of circular functions if you can...
- Understand how the unit circle is constructed and how the circular functions are defined.
- Recall exact values for sine, cosine and tangent.
- Use knowledge of exact values to solve trigonometric equations.
- Apply identities and symmetry properties of the unit circle to solve problems.
- Determine the period and amplitude of a sine or cosine graph.
- Sketch the graph of a sine or cosine function, labeling axial intercepts, maximum and minimum points.
- Determine the period and the equation of asymptotes for a tangent graph.
- Sketch the graph of a tangent function, labeling axial intercepts and asymptotes.
- Apply knowledge of circular functions to situations involving periodic behavior.
Skills Test: Technology Free
Circular Functions Skills Test 1A:
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Circular Functions Skills Test 1B:
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