Fairless Elementary School Lesson Plan s9

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: BIG IDEAS:

Trigonometry M11.C.1.4 Solve problems involving right triangles using the Pythagorean theorem. Unit Circle

M11.B.2.1 Use and/or compare measurements of angles. Use Trigonometric functions with the unit circle.

UNDERSTANDING GOALS (CONCEPTS): ESSENTIAL QUESTIONS: Students will be able to How is trigonometry used in building construction? Define and use the Trigonometric functions based on How can angles be used to describe circular motion? the unit circle. Find the exact values of trigonometric How can tri be used to find the area of a trianggle? 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. VOCABULARY: STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): *Terminal side, standard position, positive & negative angles, coterminal, radian, central angle, complementary, supplementary, 1) Find values of trigonometric functions sector *Unit circle, cosecant, secant, cotangent, trigonometric functions, for all angles. domain and period/periodic, even and odd trigonometric 2) Solve problems involving right functions triangles. *Trigonometric identities, Pythagorean Identities, Reciprocal 3) Change radian measure to degree Identities, Quotient Identities measure and vice versa. *Reference angle degree radian 4) Identify coterminal angles. Sine, cosine, tangent Opposite, ,hypotenuse, leg 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: OTHER EVIDENCE: Students will participate in class discussions, guided practice, Students will actively participate in class examples, discussion, computer work, and activities 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 MATERIALS AND ASSIGNMENTS: PROCEDURES: RESOURCES: A+ Math DO NOW will include a Math Lab Open ended question spiraling review of prior Truly struggling students will Multiple choice practice knowledge as well as the Glencoe Algebra 2 Text be referred to guidance/SAP worksheets upcoming lesson. We will use (RTI)Small group/ flexible enrichment Collins writing 1 and 2 daily Calculators grouping will occur if Computers necessary. Mini Lesson: Supplemental Materials Students will be encouraged to Ch 13 Text problems Mini lessons will vary daily Warm ups & Exit polls stay for math lab, or find help Skills practice and practice based upon student needs and Guided practice and with a math teacher. sheet informal assessments. We will Enrichment use Active Engagement and remidal work Scaffolding within each lesson. MINI LESSON: Additional materials as needed Right triangles Angle measure Reading vocabulary and Pythagorean them terminology

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