WOODLAND HILLS SECONDARY LESSON PLANS

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Name: John Toney
Date: 5-18-15
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: 5/18
Day: B
 “Do Now” – N/A
 “Mini Lesson” – N/A
 Students will complete a
review and ask
questions on solving trig
equations and applying
double-angle and halfangle formulas to aid in
solving trig equations.
 Work on 5.3-5.5 Study
Guide
Tuesday
5/19
Day: A
 “Do Now” – N/A
 “Mini Lesson” – N/A
 Students will complete a
review and ask
questions on solving trig
equations and applying
double-angle and halfangle formulas to aid in
solving trig equations.
Wednesday
5/20
Day: B
 “Do Now” – N/A
 “Mini Lesson” – N/A
 Students will complete
an assessment on
solving trig equations
and applying doubleangle and half-angle
formulas to aid in solving
trig equations.
Thursday
5/21
Day: A
 “Do Now” – Solve a right
triangle.
 “Mini Lesson” –
 Work on 5.3-5.5 Study
Guide
 No homework
 Homework assigned
from notes
Additional Topics In
Trigonometry: Laws of
Sines and Cosines
 Students will derive the
Laws of Sines and
Cosines, and use them to
solve triangles.
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
Friday
5/22
Day: B
 “Do Now” – Solve a nonright triangles using the
Law of Cosines.
 “Mini Lesson” –
Additional Topics In
Trigonometry: Laws of
Sines and Cosines
 Students will continue to
solve non-right triangles
using the Laws of Sines
and Cosines.
 Homework assigned
from notes
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