A+LSCURRICULUM GUIDE
Mathematics - Trigonometry
Grade Levels 11-12

The A+LS Mathematics curriculum is a comprehensive, completely integrated curriculum for grade levels 1-12. A sequence of 18 titles provides an extensive, integrated solution that is fully correlated to major mastery standards and leading, adopted textbooks.

In addition to a complete mathematical curriculum that is appropriate at each grade level, each title contains exercises that require the student to choose operations and develop strategies to solve problems. Students learn to use common sense, mental math, estimation, and other methods to solve problems and check answers for reasonableness.

The Mathematics titles develop knowledge of mathematics skills and their use in practical situations by utilizing a four-step approach: Study, Practice, Test, and Essay modules are used to define the instructional environment. The Study module provides a text- and graphics-based delivery of material that is reinforced by pictures and diagrams supported by a wealth of content. All graphics magnify to full screen size to concisely present and reinforce these concepts. The Practice module provides the students, in a non-scored and non-graded environment, to practice skills acquired through studying. Engaging, interactive feedback prompts the student to right answers when wrong answers to questions are entered. The student has instant access to the study material for reference. In the Test module, the student takes a scored examination, the results of which are recorded in the A+LS Management System. Upon completion of the Test, the student electronically "turns in" the test and may instantly see test results and correct answers to questions missed. The Essay module allows the student to compose individual, free-form answers to a wide variety of questions and problems.

LESSON # LESSON TITLE LESSON CONTENT
1
Angles Angles, angle terminology, radians, reference angles
2
Sine Cosine and Tangent The unit circle, finding values from endpoint, defintion of sine, cosine, and tangent
3
Values of Sin Cos and Tan Values of sine, cosine, and tangent of various angles, using the calculator to find values
4
Reciprocal Functions Definition and value of secant, cosecant, and cotangent
5
The Pythagorean Theorem The Pythagorean Theorem; calculating sides of right triangles
6
Review 1  
7
Inverse Functions Definition and value of inverse trig functions
8
Solving Right Triangles Using trig functions and the Pythagorean Theorem to solve right triangles
9
Trigonometry Applications Using trig to solve real world problems
10
Law of Sines 1 Definition of law of sines and applicatiosns
11
Law of Sines 2 Further application of the Law of Sines; determining the number of triangles, and solving triangles
12
Law of Cosines Definition of law of cosines and solving triangles
13
Solving Triangles Using trig functions and the Laws of Sines and Cosines to solve triangles
14
Triangle Applications Solving triangles in word problems
15
Areas of Triangles Formulas for area of triangles
16
Review 2  
17
Trigonometric Identities Definition of identity, reciprocal identities, quotient identities, Pythagorean identities, symmetry identities
18
Verifying Trig Identities Verifying trigonometric identities and manipulating identities for verification
19
Sum Difference Identities Sum and difference for sine, cosine, and tangent; using cofunction identities
20
Graphing Trig Functions 1 Graphs of sine, cosine, tangent and reciprocal functions; finding values using graphs
21
Graphing Trig Functions 2 Analyzing amplitude, period, and phase shift; graphing functions and compound functions
22
Graphing Trig Functions 3 Graphs of inverse functions; finding values using graphs
23
Review 3  
24
Double - and Half-Angles Double-angle and half-angle identities
25
Solving Trig Equations Solving equations involving trig functions; principal values, solving for principal and all values
26
Central Angle Application Applications of central angles; arclength, linear and angular velocity, area of circular sectors
27
Simple Harmonic Motion Writing equations for simple harmonic motion; using equations for information; frequency
28
Review 4  
29
Comprehensive Exam Comprehensive exam of course content
BACK TO CURRICULUM GUIDES

Back To Home Page