| Nayland College Mathematics; More than just a school | |||||||||||||||
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Achievement Standard 2.8 Triangles continues from level 1 pythagoras & Trigonometry, with non-right angle triangles. Several new concepts are introduced: the sine rule, cosine rule - for finding angles and side lengths, as well as the sine rule for the area of a triangle. |
| 1 |
Overview
Review Pythagoras: finding the hypotenuse or a shorter side Pythagoras |
Overview | MR Notes, Blank notes | Applications
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| 2 |
Trigonometry
Trigonometry: finding a side or angle |
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| 3 |
Applications & trigonometry practice Solving Pythagoras and trigonometric application problems including elevation & depression Trigonometry |
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| 4 |
Area
of triangles
Calculating the area of triangles using 1/2abSinC Triangle Area |
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| 5 |
Sine Rule
Finding a Side
Using the sine rule to calculate sides and angles Sine Rule |
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| 6 |
Sine Rule
finding an Angle
Using the sine rule to calculate sides and angles Sine Rule |
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Sine rule Applications Using the Sine Rule to solve application problems and the ambiguous case |
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| 8 |
Cosine Rule
find a Side
Using the Cosine rule to find unknown side Cosine Rule |
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| 9 |
Cosine Rule
find an Angle
Using the Cosine rule to find unknown angle Cosine Rule |
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| 10 |
Cosine Rule Applications
Using the Cosine rule to solve application problems for sides and angles |
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Mixed Problems
Solving application problems involving the Sine, Cosine, Pythagoras
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| 12 |
Mixed Problems(cont)
Solving application problems involving the Sine, Cosine, Pythagoras |
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| 13 |
Revision
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Word Doc: Notes
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