Mathematics at work 12 Trigonometry
Specific Curriculum Outcome
G01 Students will be expected to solve problems by using the sine law and cosine law, excluding the ambiguous case.
This outcome is a very similar to G03 from Mathematics 11
G01 Students will be expected to solve problems by using the sine law and cosine law, excluding the ambiguous case.
This outcome is a very similar to G03 from Mathematics 11
G01 Activities
 Trig Pile Up Including Sine and Cosine Rule from MathematicQuinn on TES  A challenging Trig Pile up requiring the use of SOHCAHTOA, Pythagoras' Theorem, Sine rule, Cosine Rule and finding an obtuse angle with Sine.


 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.
 Sidewalk Chalk Triangles  Ask students, in small groups, to construct a triangle using sidewalk chalk on a patch of concrete around the school (or painters tape on the floor inside the school). Have students use protractor/meter stick to measure and label one angle and two sides of the triangle. Groups then rotate to a different triangle and calculate the missing sides and angles using sine and cosine law. Students can then use their meter sticks to measure the actual lengths and angles to confirm their calculations. If their measurements don't match their calculations, try to figure out why.