WOODLAND HILLS HIGH SCHOOL LESSON PLAN

SAS and Understanding By Design Template

Name Witon Date 4-6-15 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:
Trigonometry
Unit Circle / BIG IDEAS:
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.
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):

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.
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
STAGE III: LEARNING PLAN
INSTRUCTIONAL PROCEDURES:
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
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
/ MATERIALS AND RESOURCES:
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 / 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. / ASSIGNMENTS:
Open ended question
Multiple choice practice
worksheets
enrichment
Ch 13 Text problems
Skills practice and practice sheet