Grade 11 Pre-Calculus Mathematics
Unit: Trigonometry
Outcome
Indicator
Methodology
Assessment
11P.T.1 Demonstrate
an understanding of
angles in standard
position [0 to 360].
Sketch an angle in standard
position, given the measure
of the angle.
Unit Introduction:
Trigonometry introduction
(purpose and use of trig.)
Inquiry Activity: Tracing and
drawing shapes/angles
Class Discussion: Class
discussion on how to properly
draw an angle in standard
position/notes
Notes: Students will take notes
based on class discussion
Entrance Slip: Recall
information about sketching
angles
Activity: Comparing angles –
similarities, differences
Class Discussion: What they
discovered in their activity.
Definition and explanation of
reference angle.
Reference Angle Game:
Compete against each other to
solve reference angle questions
Formative Assessment: Class
discussion and inquiry activity
[C, R, V]
Determine the reference
angle for an angle in standard
position.
Formative: Student
involvement and
understanding when taking
part in the reference angle
game
Formative: Entrance Slips to
see student understanding
and comprehension from
previous lesson
Time
Explain, using examples, how
to determine the angle from
0 to 360 that have the same
reference angle as a given
angle.
Illustrate, using examples,
that any angle from 90 to 360
is the reflection in the x-axis
and/or the y-axis of its
reference angle.
Individual Exploration: Provide
students with hands on
materials and worksheets to
guide individual exploration
Class Discussion/Notes:
Discussion on what they found
out. Clarify the technique used
to determine reference angles
Group Work: Discuss and
record as a group how they
would teach someone else
about reference angles (with
examples)
Formative: Observation of
students application of
previous knowledge in their
exploration
Discussion and Notes: Lecture
about reflection
Hands-On Activity: Use handson materials to gain an
understanding of reflection
Project: Students will be
illustrate the information they
know thus far about angles,
reference angles and reflection
in a creative way
Formative: Observe hands on
activity to observe individual
understanding
Summative: Students hand in
group explanation sheets
Summative: Angle Project
(could be seen as a poster,
presentation etc.)
Determine the quadrant in
which an angle in standard
position terminates.
Entrance Slip: To review
information about reflections
Lecture and Notes: Class will
take notes about new
information
Worksheet: Have class time to
complete a worksheet
Summative: Students hand in
completed worksheet
Draw an angle in standard
position given any point P
(x,y) on the terminal arm of
the angle.
Inquiry Activity: Worksheet
that gets students thinking
Class Discussion and Notes:
Students take notes on
important information
Smart Board Game: Students
will be in two teams, one
member from each team will
come to the board and race to
answer questions about angles.
Formative: Observation of
Smart Board game
Illustrate, using examples that
the points P (x, y), P (-x, y), P
(-x, -y) and P(x, -y) are points
on the terminal sides of
angles in standard position
that have the same reference
angle.
Discussion and Notes: Review
what has been learnt and teach
an interactive lecture
Partner Project: Students will
work through a trigonometry
booklet together that will ask
them to do a variety of
activities and questions
Summative: Trigonometry
Booklet
Formative: Entrance Slip
Formative: Inquiry Activity
Formative: Class interaction
during discussion
11P.T.2
Solve problems using
the three primary
trigonometric ratios
(sine, cosine, and
tangent) for angles
from 0 to 360 in
standard position.
Determine, using the
Pythagorean theorem or the
distance from the origin to a
point P(x,y) on the terminal
arm of an angle
Quiz: Reviewing previous
knowledge about angles
Lecture and Class Discussion:
The use of Pythagorean
theorem
Worksheet: Worksheet that
students can do individually or
as a group to apply knowledge
Summative: Quiz
Determine the value of sin *,
cos *, or tan * given any point
P (x, y) on the terminal arm of
angle *
Admit Slip: Recall what you
know about the use of
Pythagorean theorem
Class Discussion and Notes:
Teach students how to use sin,
cos, tan
Worksheet: Application of sin,
cos, tan
Formative: Admit Slip – what
do students remember
Determine, without the use
of technology, the value of
sin theta, cos theta, or tan
theta, given any point P (x, y)
on the terminal arm of angle
theta, where theta = 0, 90,
180, 270 or 360
Formative: Group/Individual
worksheet
Summative: Individual
worksheet
Determine the sign of a
trigonometric ratio for an
angle, without the use of
technology and explain
Solve an equation of the form
sin theta=a or cos theta=a,
where -1<theta<1, or an
equation of the form tan
theta=a, where a is a real
number
Determine the exact value of
the sine, cosine or tangent of
an angle with a reference
angle of 30, 45, or 60.
Mental Math: To review the
value of sin theta, cos theta,
tan theta given any point
Class Discussion and Notes:
Discussion about the
trigonometric ratios
Trigonometry Bingo: Without
a calculator students will be
challenged to answer questions
in order to fill up their bingo
card
Summative Assessment:
Mental Math
Formative Assessment: Bingo
cards – to reflect on individual
student understanding
Describe patterns in and
among the values of the sine,
cosine, and tangent ratios for
angles from 0 to 360
Inquiry Activity: Looking for
and discovering patterns
Class Discussion: What kind of
patterns were found, important
patterns to know etc.
Group Discussion: Discuss and
record how you would describe
given patterns
Formative: Group Discussion
Class Discussion: Real life
applications of trigonometry
Group Project: Students will be
in groups of 3 or 4 and will
work through a real life
situation in which trigonometry
will be applicable and will then
present to the class
Formative: Class discussion to
see students’ understanding of
the application of
trigonometry.
Summative: Group
Explanation – each group will
be record to present to the
class about one pattern
Sketch a diagram to
represent a problem involving
trigonometric rations
Solve a contextual problem,
using trigonometric ratios
Summative: Group Project and
presentation. Clarity of
information as well as
accuracy and application of
trigonometry.