Name: John Toney
Date: 3-30-15
Lesson Topic (Modules, if applicable):
Trigonometry
Student Objectives (Competencies/Outcomes):
Students will be able to:
Use coordinates and algebraic techniques to interpret, represent, and verify geometric relationships.
Content Area: Mathematics
Length of Lesson: 30 days
Big Ideas:
STAGE I – DESIRED RESULTS
M11.A.1.1
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
M11.C.1.3
Recognize and/or apply properties of angles, triangles and quadrilaterals.
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?
Understanding Goals (Concepts):
Geometric representations and analytic geometry
Students will understand:
1.
Sketching and finding coterminal angles
2.
Finding complementary and supplementary angles
3.
Converting from degrees to radians and vice versa
4.
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.
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

STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Students will demonstrate adequate understanding via a chapter test.
Formative Assessments:
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
Instructional Procedures*:
Monday
Date: 3/30 Day: B

“Do Now” – Evaluate a composition of trig
 functions.
“Mini Lesson” –

Application and Models
Students will work on applying their knowledge of trig functions to solve right triangles and to find missing sides of application problems.

Textbook – Page 444
#1-7 odd, 11, 13, 15,
19,21, 25, 27, 35, 47
3/31
Tuesday
Day: A

“Do Now” – Given a right triangle, find a missing side given an angle and another side.

“Mini Lesson” –
Application and Models

Students will continue
 finding missing sides of right triangles, and also apply their knowledge to find missing acute angles of right triangles.
Textbook – Page 444
#1-7 odd, 11, 13, 15,
19,21, 25, 27, 35, 47
4/1
Wednesday
Day: B

“Do Now” – Find the missing acute angle of a right triangle given two side lengths.

“Mini Lesson” –
Application and Models

Students will apply their knowledge to find missing sides and angles of right triangles in application problems that consist of two angles of elevation or
 depression.
Textbook – Page 444
#1-7 odd, 11, 13, 15,
19,21, 25, 27, 35, 47

4/2
Thursday review and ask functions, and
Study for the Chapter 4
Part 2 Multiple Choice
Assessment
Day: A

“Do Now” – N/A

“Mini Lesson” – N/A

Students will complete a questions on graphs of sine, cosine, and tangent functions, inverse trig application and modeling problems.

4/3
Friday

No School
Day:
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections