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North East School Division
Unpacking Outcomes
Unpacking the Outcome
Demonstrate  understanding of the cosine law
 understanding of the sine law
Outcome (circle the verb and underline the qualifiers)
FM 20.5 Demonstrate understanding of the cosine law and sine law (including the ambiguous case).
KNOW
UNDERSTAND
BE ABLE TO DO
Apply the sine ratio and cosine ratio to
That some acute triangles cannot Identify and describe situations relevant to self, family, or community that
involve triangles without a right angle.
determine side lengths and angle
be solved using the sine law.
measures.
That the cosine law can only be
Develop, generalize, explain, and apply strategies for determining angles
Solve equations involving ratios.
used for some acute triangles.
or side lengths of triangles without a right angle.
Solve equations requiring the manipulation That there are multiple ways to
Draw diagrams to represent situations in which the cosine law or sine law
of a formula.
solve the same problem.
could be used to solve a question.
Apply primary trig ratios to determine side That there are times a solution
Explain the steps in a given proof of the sine law or cosine law.
lengths and angle measures.
may not be a suitable solution.
Illustrate and explain how one, two, or no triangles could be possible for a
Solve problems involving the properties of
The origin of the sine and cosine
given set of measurements for two side lengths and the non-included
interior angles of a triangle.
law.
angle in a proposed triangle.
Solve problems using the Pythagorean
That the number of possible
Develop, generalize, explain, and apply strategies for determining the
formula
triangles can be determined
number of solutions possible to a situation involving the ambiguous case.
Vocabulary
when given a problem that
Solve situational questions involving triangles without a right angle.
Sine, cosine, ratio, α,θ, Pythagorean
involves a SSA situation.
Formula, right, oblique and acute triangles
ESSENTIAL QUESTIONS
When is it appropriate to use the sine law?
When is it appropriate to use the cosine law?
Where would the sine and cosine law be used outside of the classroom? By who?
What is the connection between the inverse trig ratio and the trig ratio?
How do you determine which sides and angles to use when solving with the sine and cosine laws?
When is a solution an appropriate solution?
What is the relationship among the trigonometric ratios for supplementary angles?
What is the ambiguous case?