Mathematics 11 sine and cosine law
Specific Curriculum Outcomes
G01 Derive proofs that involve the properties of angles and triangles.
G02 Solve problems that involve the properties of angles and triangles
G03 Solve problems that involve the cosine law and the sine law, including the ambiguous case.
G01 Derive proofs that involve the properties of angles and triangles.
G02 Solve problems that involve the properties of angles and triangles
G03 Solve problems that involve the cosine law and the sine law, including the ambiguous case.
G01 and G02 Activities (properties of angles and triangles)
|
|
- 3 Fact Triangles from Jonny Griffiths' RISP collection - A 3 Fact triangle is one where 3 of the following facts are true: One side is 3cm; One angle is 90 degrees; One side is 4cm; One angle is 30 degrees. How many 3 fact triangles are there? What is the area and perimeter for each one. This is a great activity to practice sine and cosine law.
G03 ACTIVITIES (sine and cosine Law)
- Law of Sines and Cosines from Math Teacher Mambo - A worksheet and demonstration with spaghetti to show the ambiguous case.
- How High Is Mt. Ruapehu (application of sine/cosine rule) Desmos Activity - Calculate the height of mountains using non-right angle trigonometry. Students will have the freedom to take their OWN measurements using a virtual tape measure and clinometer then use their recorded measurements to find the heights of mountains -- including Mt. Ruapehu, New Zealand.