# WOODLAND HILLS SECONDARY LESSON PLANS ```Name: John Toney
Date: 3-16-15
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: 3/16
Day: B
 “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, both horizontally
and vertically.
 Textbook – Page 410
#37-39, 41, 49, 51, 15-21
odd, 35, 36, 55, 57, 59
Tuesday
3/17
Day: A
 “Do Now” – Sketch the
graph of a cosine
function that includes a
horizontal and vertical
shift.
 “Mini Lesson” – Graphs
of Sine and Cosine
Functions
 Students will work on
finding a trig model to
describe a set of data,
and use this model to
Students will also find
equations for given
graphs.
 Textbook – Page 410
#83, 85, 69-75 odd
Wednesday
3/18
Day: B
 “Do Now” – Given a
curve, write equation to
match the sketch.
 “Mini Lesson” – Graphs
of Sine and Cosine
Functions
 Students will work on an
in-class assignment to
continue studying the
graphs of sine and
cosine.
 Complete in-class
assignment.
Thursday
Friday
3/19
Day:
 Parent-Teacher
Conferences – No School
3/20
Day:
 Teacher In-Service – No
School


*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
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