Name: John Toney
Date: 4-27-15
Content Area: Mathematics
WOODLAND HILLS SECONDARY
LESSON PLANS
Length of Lesson: 30 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Big Ideas:
Understanding Goals (Concepts):
Analytic Trigonometry
M11.A.1.1 Represent and/or use numbers in
equivalent forms
M11.A.2.2 Use exponenets, roots and/or absolute
value to solve problems
M11.B.2.1 Use and/or compare measurements of
angles
M11.C.1.4 Solve problems involving right triangles
using the Pytahgorean Theorem.
M11.D.2.2 Simplify expressions involving
polynomials
Analytic Trigonometry
Essential Questions:
How do you decide which functional representation
to choose when modeling a real world situation,
and how would you explain your solution to the
problem?
Vocabulary:
*Fundamental Trigonometric Identities, Reciprocal
Identities, Quotient Identities, Pythagorean
Identities, Cofunction Identities, Eve/Odd
Identities
*Sum and Difference Forumulas
*Multiple-Angle Formulas, Double-Angle Formulas,
Poewr-Reducing Forumlas, Triple Angle Formulas,
Half-Angle Formulas, Product-to-Sum Forumlas,
Sum-to-Product Formulas
Student Objectives (Competencies/Outcomes):
Students will be able to:
Represent functions (linear and non-linear) in
multiple ways, including tables, algebraic rules,
graphs, and contextual situations and make
connections among these representations. Choose
the appropriate functional representation to model
a real world situation and solve problems relating to
that situation.
Students will understand:
1. How to apply trigonometric identities to
simplify expressions
2. How to verify trigonometric identities
algebraically
3. How to solve trigonometric equations
4. How to apply sum and difference fomulas for
sine and cosine functions
5. How to apply double-angle and half angle
formulas
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
Materials and Resources:
Textbook, notes
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend Trig Lab
Assignments
Procedures
Instructional Procedures*:
Monday
Date: 4/27
Day: A
 “Do Now” –
 “Mini Lesson” – Using
Fundamental Identities
and Verifying
Trigonometric Identities
 Students will work on a
review for the Section
5.1 & 5.2 Test.
 Continue studying for
the 5.1-5.2 Test
Tuesday
4/28
Day: B
 “Do Now” –
 “Mini Lesson” – Using
Fundamental Identities
and Verifying
Trigonometric Identities
 Students will complete
an assessment on
simplifying and verifying
trigonometric identities.
Wednesday
4/29
Day: A
 “Do Now” – Verify a
trigonometric identity.
 “Mini Lesson” – Solving
Trigonometric Functions
 Students will discover
how to solve
trigonometric equations,
using standard algebraic
techniques such as
combining like terms.
Thursday
4/30
Day: B
 “Do Now” – Solve a
trigonometric identity by
combining like terms.
 “Mini Lesson” – Solving
Trigonometric Functions
 Students will continue to
solve trig equations by
extracting square roots
and factoring.
 No homework
 Textbook: Page481
#5, 9, 11-13, 20
 Textbook: Page481
#15, 16, 19, 26, 25, 27,
29, 30
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections




Friday
5/1
Day: A
“Do Now” – Solve a
trigonometric identity by
factoring.
“Mini Lesson” – Solving
Trigonometric Functions
Students will continue to
solve trig equations of
the quadratic type by
factoring, rewriting with
a single trig function,
and square and
converting to a
quadratic function.
Textbook: Page481
#23, 29, 38, 21, 28, 31,
33, 37, 40