trigsyllabus07

8/14/2019 trigsyllabus07

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Trigonometry

Instructor E-Mail Address

Phone Number Planning Time

COURSE DESCRIPTIONThe student will demonstrate competency by integrating geometrical, and algebraicconcepts. Calculators will be used in plotting functions, analyzing data, simulating

experiments. The students will be presented with enough trigonometry and circular

functions to constitute a standard pre-calculus course in trigonometry

GRADING POLICY

30% Common Assessments, 10% Final, 30 % Homework, 30% Quizzes.

1. Common Assessments may be retaken once and the scores will be averaged. Inthe case that the average is below 70%, the higher score will be taken up to 70%.Students must complete any re-take within 7 days of the original test.

2. Final may be retaken only if the student scored below 60%. The student mayretake the final up to 70%.3. Homework may be re-worked for full credit until the last 2 weeks of the class.4. Quizzes may not be retaken.

Students will be required to:

Participate in learning activitiesKeep a notebook

Attend class, and bring books and graphing calculator, graphing notebook.

Perform quality work in all areas; proficient on all standards

Units of study1. Triangle Trigonometry: Angles and degree measure, trigonometric functions

of acute angles, trigonometric functions of general angles, values oftrigonometric functions, solving right triangles, the law of cosine, the law of

sine, solving general triangles, areas of triangles

2. Trigonometric graphs: Radian measure, circular functions, periodicity andsymmetry, graphs of sine and cosine, graphs of the other trig functions.

3. Trigonometric Identities: the fundamental identities, trigonometric additionformulas, double-angle and half-angle formulas, formulas for the tangent

4. Trigonometric Applications: Vectors in operation, Vectors in the plane, polarcoordinates, the geometry of complex numbers, Inverse functions,trigonometric equations.

Course Material and Resources

Textbook: Algebra and Trigonometry Structure and Method. Book 2,McDougal Littell and Algebra 2, McDougal Littell 2007

Houghton Mifflin Company, 2000

Graphing Calculator (Ti-83 and newer. TI-84 plus is recommended)


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State Standards and Benchmarks

1. NUMBER OPERATIONS AND CONCEPTS

Students will represent, use and apply numbers in a variety of forms. Students will apply the structure and properties of the real number

system Students will select and perform operations and evaluate the

reasonableness of results of number operations.

Students will use proportional reasoning to solve problems.2. GEOMETRY

Students will use transformations, congruency, symmetry, similarity,perpendicularity, and parallelism to solve problems.

Students will communicate, using mathematical language to:o Interpret, represent, or create geometric figureso Draw or build figures from mathematical descriptionso Analyze properties and determine attributes of 2 and 3

dimensional objects. Students will communicate the reasoning used in problem-solving

situations

Students will solve problems involving the coordinate plane. Students will connect geometry with other mathematical topics

3. MEASUREMENT

Students apply estimation and measurement using the appropriatemethods and units to solve problems involving length, weight/mass,

area, surface area, volume, and angle measure

Students will demonstrate an understanding of both metric and U.S.customary systems. Students will be able to convert within each

system Students will identify and apply scale, ratios, and proportions in

solving measurement problems.

Students will solve problems of angle measure including thoseinvolving polygons or parallel lines cut by a transversal.

Students will solve indirect measurement problems4. ALGEBRAIC CONCEPTS AND RELATIONSHIPS

Students will use algebraic concepts, symbols, and skills to representand solve real-world problems

Students will write, model, and evaluate expressions, functions,equations and inequalities.

Students will graph linear equations and interpret the results insolving algebraic problems.

Students will solve, graph, or interpret systems of linear equations. Students will connect algebra with other mathematical topics


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Performance Standards

In a problem-solving situation, using appropriate tools of technology, algebra, andgeometry, a proficient student will work independently to:

-Write, model, and evaluate functions, equations, inequalities, and systems to

reach a solution or make a connection

-Represent, use, and apply numbers in a variety of forms-Make connections in applying properties of numbers, triangles, trigonometric

functions, circular functions, and vectors to complex situations

-Collect, organize, interpret, and present numerical information using tables,

graphs-Solve problems using definitions and properties of trigonometric functions,

circular functions, polar coordinates and rectangular coordinates, vectors, and

identities

- Solve life-situation problems by applying knowledge of the laws of sine andcosine and draw valid conclusions.

-Select and make appropriate use of scientific calculators, computers and

software.Students who perform at a proficient or advanced level on all the standards will receivecredit. Students who need help to achieve the standards will be tutored in after school

programs until they meet the standard or the school year ends.

Unit Standard Benchmark Assessments

TriangleTrigonometry

1. Numbers Operationsand concepts

2. Geometry

3. Measurement

4. Algebra

(1-1), (1-2), (1-3), (1-4),(2-1), (2-2), (2-3), (2-4), (2-

5) (3-1), (3-3), (3-4)

(4-1), (4-2), (4-5)

test

Trigonometric

graphs

1. Numbers Operations

and concepts2. Geometry

3. Measurement

4. Algebra

(1-1), (1-2), (1-4)

(2-1), (2-2), (2-3), (2-4), (2-5)

(3-1), (3-3)

(4-1), (4-2), (4-5)

test

Trigonometric

Identities


and concepts

2. Geometry

3. Measurement

4. Algebra

(1-1), (1-2)

(2-2)

(4-1), (4-2), (4-5)

test

Trigonometric

Applications


and concepts2. Geometry

3. Measurement

4. Algebra

(1-1), (1-2), 2-1), (2-2)

(2-3), (2-4), (2-6), (3-1)(4-2), (4-5), (6-1), (6-2)

test


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Student and/or Parent Signature

I have read and I understand this syllabus.Student _________________________ Date__________________

Parent__________________________ Date____________________

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