Subject: Pre-calculus 30
Outcome: PC30.5 - Demonstrate understanding of trigonometric identities including:
 reciprocal identities
 quotient identities
 Pythagorean identities
 sum or difference identities (restricted to sine, cosine, and tangent)
 double-angle identities (restricted to sine, cosine, and tangent)
Beginning – 1
Approaching – 2
Proficiency – 3
Mastery – 4
I need help.
I have a basic understanding.
My work consistently meets
expectations.
I have a deeper understanding.
With assistance, I can verify a trig
statement for a given value
I can verify a trig statement
for a given value
I can prove complex identities
without errors.
I can determine non- permissible
values of trig identities.
With assistance, I can prove “one
step” trig identities algebraically.
Prove “ one step” trig identities
algebraically.
I can prove any trig identity
With assitance, I can determine the
exact values of trig ratios using sum,
difference and double angle
identities.
My process is correct, but
may make simplifying errors.
I can determine the exact values of
trig ratios using sum, difference and
double angle identities.
Indicators – please select and assess as appropriate to your unit, bold text indicates possible key indicators.
a.
b.
c.
d.
e.
f.
g.
Explain the difference between a trigonometric identity and a trigonometric equation.
Verify numerically (using degrees or radians) whether or not a trigonometric statement is a trigonometric identity.
Critique statements such as "If three different values verify a trigonometric identity, then the identity is valid".
Determine, with the use of graphing technology, the potential validity of a trigonometric identity.
Determine the non-permissible values of a trigonometric identity.
Develop, explain, and apply strategies for proving trigonometric identities algebraically.
Explain and apply strategies for determining the exact value of a trigonometric ratio by using sum, difference, and double-angle identities.
Refer to the Saskatchewan Curriculum Guide Pre-Calculus 30