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.

Activities

  • Angle Pairs from Math Teacher Mambo - A guided worksheet scaffolds the proof process by getting students to look at several angles and identify and explain their relationship. Completing this activity helps students get ready for two-column triangle proofs.
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  • Law of Sines and Cosines from Math Teacher Mambo - A worksheet and demonstration with spaghetti to show the ambiguous case.
  • 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.