Name: John Toney
Date: 2-9-15
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
angles, triangles and quadrilaterals.
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 & negative
angles, coterminal, radian, central angle,
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
Performance Task:
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: 2/9
Day: B
 “Do Now” – Find the
speed of the second
hand of a clock that is 5
cm long.
 “Mini Lesson” –
Trigonometric Functions:
The Unit Circle
 Students will begin an
introduction to the unit
circle. They will review
the 6 trigonometric
functions, and begin
creating their own unit
circle.
 Review various radian
angle measures and the
quadrants in which they
are located.
Tuesday
2/10
Day: A
 “Do Now” – List the 6
trigonometric functions
and their ratios.
 “Mini Lesson” –
Trigonometric Functions:
The Unit Circle
 Students will complete
their unit circle, and and
begin evaluating
trigonometric functions
with the aid of their
circle..
 Textbook – Page 377
#1-29 odd




Wednesday
2/11
Day: B
“Do Now” – Evaluate the
Sine and Cosine of
particular angle
measures.
“Mini Lesson” –
Trigonometric Functions:
The Unit Circle
Students will explore the
domain and period of
the Sine and Cosine
fuctions. They will use
the period of a function
to evaluate the Sine and
Cosine, and discover
which trigonometric
functions are even and
odd.
Textbook – Page 377
#31-38, 39-44, 45-54
Thursday
2/12
Day: A
 “Do Now” – Using the
period, evaluate the Sine
and Cosine of particular
angle measures.
 “Mini Lesson” – Right
Angle Trigonometry
 Students will evaulate
trigonometric functions,
particularly of 45-45-90
and 30-60-90 triangles.
 Textbook – Page 387
#1-21 odd, 33, 35
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
Friday
2/13
Day:
 No School – In-Service
