Download March 16 Special Triangles - Woodland Hills School District

WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name Witon
Date 3-16-15
Length of Lesson 4 weeks
Content Area Algebra 3
Edline was updated this week: Yes
My class website was updated this week: Yes
STAGE I – DESIRED RESULTS
LESSON TOPIC:
BIG IDEAS:
Trigonometry
M11.C.1.4
Solve problems involving right
triangles using the Pythagorean
theorem.
M11.B.2.1
Use and/or compare measurements of
angles. Use Trigonometric functions
with the unit circle.
Special right triangles
UNDERSTANDING GOALS (CONCEPTS):
Students will be able to
Define and use the Trigonometric functions based on
the unit circle. Find the exact values of trigonometric
functions of angles. *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.
ESSENTIAL QUESTIONS:
How is trigonometry used in building construction?
How can angles be used to describe circular motion?
How can tri be used to find the area of a trianggle?
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 degree radian
Sine, cosine, tangent
Opposite, ,hypotenuse, leg
STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES):
PERFORMANCE TASK:
Students will participate in class discussions, guided practice,
computer work, and activities
OTHER EVIDENCE:
Students will actively participate in class examples, discussion,
classwork, open ended assessments, graphic organizers, exit
tickets, daily warm ups, homework, Study Island and, unit tests,
quizzes, and other formative assessments. Think pair share
Thumbs up Portfolio
1) Find values of trigonometric functions
for all angles.
2) Solve problems involving right
triangles.
3) Change radian measure to degree
measure and vice versa.
4) Identify coterminal angles.
5) Use reference angles to find values of
trigonometric functions.
6) Solve problems using the Law of Sines
or the Law Cosines.
7) Determine whether a triangle has one,
two, or no solutions.
8) Determine whether a triangle can be
solved by first using the Law of Sines
or the Law of Cosines.
9) Define and use the Trigonometric
functions based on the unit circle.
10) Find the exact values of trigonometric
functions of angles.
11) Solve equations by using inverse
trigonometric functions.
12) Find values of expressions involving
trigonometric functions.
STAGE III: LEARNING PLAN
INSTRUCTIONAL
PROCEDURES:
MATERIALS AND
RESOURCES:
(Active Engagement, Explicit
Instruction, Metacognition, Modeling,
Scaffolding)
DO NOW will include a
spiraling review of prior
knowledge as well as the
upcoming lesson. We will use
Collins writing 1 and 2 daily
Mini Lesson:
Mini lessons will vary daily
based upon student needs and
informal assessments. We will
use Active Engagement and
Scaffolding within each lesson.
MINI LESSON:
Right triangles
Angle measure
Pythagorean them
Glencoe Algebra 2 Text
Calculators
Computers
Supplemental Materials
Warm ups & Exit polls
Guided practice and
Enrichment
remidal work
Additional materials as needed
Reading vocabulary and
terminology
ASSIGNMENTS:
A+ Math
Math Lab
Truly struggling students will
be referred to guidance/SAP
(RTI)Small group/ flexible
grouping will occur if
necessary.
Students will be encouraged to
stay for math lab, or find help
with a math teacher.
Open ended question
Multiple choice practice
worksheets
enrichment
Ch 13 Text problems
Skills practice and practice
sheet
Guided Practice:
Note Taking, Modeling, Whole
Class Response, Partnering,
Higher Level Thinking Skills
Guided Notes, Chunking,
Build on prior Knowledge,
Teacher Prompting, Visual
Support
Independence Practice:
Check for understanding using
practice pages and text as well
as school/SAS developed
activities.
Summative/Formative
Assessments:
Quizzes as needed for
understanding. Unit test is
summative as well as
cumulative for constant
knowledge retention. Students
will actively participate in class
examples, discussion, class
work, whiteboards, open ended
assessments, graphic
organizers, exit tickets, daily
warm ups, homework, Study
Island and, unit tests, quizzes,
and other formative
assessments.
Reflections:
Check for understanding using
do now, homework, or
formative assessment
questioning to determine
whether to continue as needed
or do interventions as needed.
(Model, spiral scaffolding,
instruct/reteach as needed)
Teacher reflection