Name: John Toney
Date: 2-2-15
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
Procedures
Instructional Procedures*:
Monday
Date: 2/2
Day: A
 “Do Now” – Collins
Writing – In 3 sentences
write what you know
about degree measures
and radians.
 “Mini Lesson” – Radian
and Degree Measure
 Students will begin an
introduction to degree
and radian measures
used for trigonometry.
They will study positive
and negative angles, and
find coterminal angles.
They’ll study how to
draw angles in standard
position, and make
conversions from
degrees to radians, and
vice versa. They will also
begin looking at how to
label the coordinate
axes (quadrants,
degrees, and radians).
Tuesday
2/3
Day: B
 “Do Now” – Draw angles
in standard postion.
 “Mini Lesson” – Radian
and Degree Measure
 Students will practice
finding coterminal,
complementary, and
supplementary angles.
Wednesday
2/4
Day: A
 “Do Now” – Find
complementary and
supplementary angles
for given radian angle
measures.
 “Mini Lesson” – Radian
and Degree Measure
 Students will continue
making conversions
between degrees and
radians.
Thursday
2/5
Day: B
 “Do Now” – Convert
radian angle measures
to degrees.
 “Mini Lesson” – Radian
and Degree Measure
 Students will apply their
knowledge of angle
measures to find arc
lengths, speeds of
objects, and angular
speeds.
Friday
2/6
Day: A
 “Do Now” – Find the
speed and angular speed
of an object.
 “Mini Lesson” – Radian
and Degree Measure
 Students will continue to
practice finding
coterminal,
complementary, and
supplementary angles,
making conversions, and
finding arc lengths,
speeds, and angular
speeds.
Assignments
 No homework
 Textbook – Page 367
#1-17 odd, 21-35 odd,
19, 20, 37, 38
 Textbook – Page 367
#39-42, 47-54, 43-46,
55-62
 Textbook – Page 367
#71-81 odd, 95, 91
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
 Complete the in-class
assignment.