Subject: Pre-Calculus 30
Outcome: PC30.3 - Demonstrate understanding of the graphs of the primary trigonometric functions.
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 determine the
characteristics of sinusoidal
functions.
I can sketch the graph of 𝑦 =
sin 𝑥 , 𝑦 = cos 𝑥 , and 𝑦 = tan 𝑥.
I can solve situational questions by
analyzing graphs of 𝑦 =
𝑎 sin 𝑏(𝑥 − 𝑐) + 𝑑, or 𝑦 =
𝑎 cos 𝑏(𝑥 − 𝑐) + 𝑑.
I can determine the characteristics
of the graphs of 𝑦 = sin 𝑥 , 𝑦 =
cos 𝑥 , and 𝑦 = tan 𝑥.
I can determine the characteristics
of the graphs of 𝑦 = 𝑎 sin 𝑏(𝑥 − 𝑐) +
𝑑, or 𝑦 = 𝑎 cos 𝑏(𝑥 − 𝑐) + 𝑑 with
the use of technology.
I can write equations of sine and
cosine functions for given graphs.
I can sketch the graph of 𝑦 =
𝑎 sin 𝑏(𝑥 − 𝑐) + 𝑑, or 𝑦 =
𝑎 cos 𝑏(𝑥 − 𝑐) + 𝑑.
I can determine the characteristics
of the graphs of 𝑦 = 𝑎 sin 𝑏(𝑥 − 𝑐) +
𝑑, or 𝑦 = 𝑎 cos 𝑏(𝑥 − 𝑐) + 𝑑
without the use of technology.
I can solve situational questions by
graphing 𝑦 = 𝑎 sin 𝑏(𝑥 − 𝑐) + 𝑑,
or 𝑦 = 𝑎 cos 𝑏(𝑥 − 𝑐) + 𝑑 without
the use of technology.
Indicators – please select and assess as appropriate to your unit, bold text indicates possible key indicators.
a.
b.
c.
Sketch, with or without technology, the graph of y=sin x, y=cos x, and y=tan x.
Determine and summarize the characteristics (amplitude, asymptotes, domain, period, range, and zeros) of the graphs of y = sin x, y = cos x, or y = tan x.
Develop, generalize, and explain strategies for determining the transformational impact of changing the coefficients a, b, c, and d
in
shift, range, and zeros.
d.
e.
f.
g.
h.
and
on the graph of y = sin x and y = cos x respectively, including amplitude, asymptotes, domain, period, phase
Develop and apply strategies to sketch, without technology, graphs of the form
or
Write equations for given graphs of sine or cosine functions.
Identify, with justification, a trigonometric function that models a situational question.
Explain how the characteristics of the graph of a trigonometric function relate to the conditions in a situational question.
Solve situational questions by analyzing the graph of trigonometric functions.
Refer to the Saskatchewan Curriculum Guide Pre-Calculus 30
.