# WOODLAND HILLS SECONDARY LESSON PLANS ```Name: John Toney
Date: 3-9-15
Content Area: Mathematics
WOODLAND HILLS SECONDARY
LESSON PLANS
Length of Lesson: 30 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Big Ideas:
Trigonometry
M11.A.1.1
Use coordinates and algebraic techniques to interpret,
represent, and verify geometric relationships.
Represent and/or use numbers in
equivalent forms (e.g., integers, fractions,
decimals, percents, square roots,
exponents and scientific notation).
M11.A.2.1
Apply ratio and/or proportion in
problem-solving situations.
M11.A.2.2
Use exponents, roots and/or absolute
value to solve problems.
M11.B.2.1
Use and/or compare measurements of
angles.
M11.C.1.2
Recognize and/or apply properties of
Use properties of congruence,
correspondence and similarity in
problem-solving settings involving twoand three- dimensional figures
M11.C.1.3
Student Objectives (Competencies/Outcomes):
Students will be able to:
Understanding Goals (Concepts):
M11.C.1.4
Solve problems involving right triangles
using the Pythagorean Theorem.
M11.D.1.1
Analyze and/or use patterns or relations.
Geometric representations and analytic geometry
Students will understand:
1.
2.
3.
4.
Sketching and finding coterminal angles
Finding complementary and supplementary angles
Converting from degrees to radians and vice versa
Finding arc length and area of a sector using radian
measure
5. Using the unit circle to evaluate the 6 trig functions
and their inverses.
6. Using the period to evaluate the sine and cosine
7. Defining odd and even functions and relating them
to trig functions using the unit circle.
8. Defining and finding the six trig functions using
right triangle trig
9. Determining the reference angle of a given angle
and the sinage of the trig function at that angle
10. Determining the exact value of the 6 trig functions
for special angles
11. Evaluating trig functions using a calculator for any
angle
12. Applying trig functions to solve application
problems involving right triangles.
Essential Questions:
Vocabulary:
How can you use coordinates and algebraic techniques to
represent, interpret, and verify geometric relationships?
*Terminal side, standard position, positive &amp; negative
complementary, supplementary, sector
*Unit circle, cosecant, secant, cotangent, trigonometric
functions, domain and period/periodic, even and odd
trigonometric functions
*Trigonometric identities, Pythagorean Identities,
Reciprocal Identities, Quotient Identities
*Reference angle
STAGE II – ASSESSMENT EVIDENCE
Formative Assessments:
Students will demonstrate adequate understanding via a chapter test.
Pre-assessments, open-ended questions, Think-Pair-Share
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend Trig Lab
Materials and Resources:
Textbook, notes
Assignments
Procedures
Instructional Procedures*:
Monday
Date: 3/9
Day: A
 “Do Now” – N/A
 “Mini Lesson” – N/A
 Students will complete a
multiple choice
assessment on using the
unit circle to evaluate
the 6 trig functions,
defining reference
angles, evaluating trig
functions using the
calculator, and applying
trig functions to solve
application problems
involving right triangles.
 Continue studying for
the Chapter 4 OpenEnded Assessment
Tuesday
3/10
Day: B
 “Do Now” – N/A
 “Mini Lesson” – N/A
 Students will complete
an open-ended
assessment on using the
unit circle to evaluate
the 6 trig functions,
defining reference
angles, evaluating trig
functions using the
calculator, and applying
trig functions to solve
application problems
involving right triangles.
 No homework




Wednesday
3/11
Day: A
“Do Now” – Sketch what
you think a sine and
cosine graph might look
like.
“Mini Lesson” – Graphs
of Sine and Cosine
Functions
Students will being
studying techniques for
sketching basic sine and
cosine functions. They
will notice why sine is
odd and cosine is even,
and explore the basic
shapes, the domains and
ranges, and key points in
a period of each
function.
Textbook – Page 410
#31
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Thursday
3/12
Day: B
“Do Now” – Given a
basic sine and cosine
function, sketch their
graphs.
“Mini Lesson” – Graphs
of Sine and Cosine
Functions
Students will explore the
graphic effects of
amplitude and period on
sine and cosine graphs.
They will discover scaling
factor, and sketch
graphs of sine and
cosine which have
vertical and/or
horizontal stretching and
shrinking.
Textbook – Page 410
#1-14, 32, 43, 45
Friday
3/13
Day: A
 “Do Now” – Graph a sine
function that includes a
horizontal stretch, and
describe why it
stretched.
 “Mini Lesson” – Graphs
of Sine and Cosine
Functions
 Students will work on
graphs of sine and
cosine in which
translations are applied.
They will discover what
causes these particular
shifts.
 Textbook – Page 410
#37-39, 41, 49, 51
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
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