WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name _Steve Flanders__________
Date 3-24-14
Length of Lesson __1 weeks_____ Content Area Trigonometry_______
Edline was updated this week: x
My class website was updated this week: x
STAGE I – DESIRED RESULTS
LESSON TOPIC: Trigonometry
BIG IDEAS:
There are some mathematical relationships that are always true and
these relationships are used as the rules of arithmetic and algebra
and are useful for writing equivalent forms of expressions and
solving equations and inequalities.
(Content standards, assessment anchors, eligible content) objectives, and skill
focus)
M11.A.1.1
UNDERSTANDING GOALS (CONCEPTS):
Geometric representations and analytic geometry
Students will understand:
1.
2.
3.
4.
5.
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
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
1. Applying trig functions to solve application problems
involving right triangles.
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.
M11.C.1.3
Use properties of congruence, correspondence
and similarity in problem-solving settings
involving two- and three- dimensional figures
M11.C.1.4
Solve problems involving right triangles using
the Pythagorean Theorem.
M11.D.1.1
Analyze and/or use patterns or relations.
ESSENTIAL QUESTIONS:
How can you use coordinates and algebraic techniques to
represent, interpret, and verify geometric relationships?
VOCABULARY:
*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
STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES):
Students will be able to:
Use coordinates and algebraic techniques to interpret, represent,
and verify geometric relationships.
STAGE II – ASSESSMENT EVIDENCE
PERFORMANCE TASK:
Students will demonstrate adequate understanding via a
chapter test.
FORMATIVE ASSESSMENT:
#1 Pre-Assessment
#2 Open-Ended Questions
#3 Think-Pair-Share
STAGE III: LEARNING PLAN
INSTRUCTIONAL
PROCEDURES:
MATERIALS AND
RESOURCES:
Active Engagement use:
#1 Note-Taking
#2 Cooperative Education

Textbook
Notebook
Projector/Promethean Board
Graphing Calculator

Scaffolding used:
#1 Guided Notes
#2 Build on prior knowledge
MINI LESSON:
*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
*Using the unit circle to
evaluate the 6 trig functions
and their inverses.
*Using the period to evaluate
the sine and cosine
*Defining odd and even
functions and relating them to
trig functions using the unit
circle.
*Defining and finding the six
trig functions using right
triangle trig
*Determining the reference
angle of a given angle and the
sinage of the trig function at
that angle
*Determining the exact value
of the 6 trig functions for
special angles
*Evaluating trig functions
using a calculator for any angle
*Applying trig functions to
solve application problems
involving right triangles.
INTERVENTIONS:
Limited small group/
flexible grouping will
occur.
Students will be
encouraged to stay for
math lab, or find help
with a math teacher.
ASSIGNMENTS:
p. 367-370
p. 377-379
p. 387-391
p. 399-401