Boxer Trigonometry 1.2

Age Range: 15-Adult
Platform: Windows
Medium: CDROM
Cost: Multi-User Stand-Alone $150
5 CD Lab Pack $450
10 CD Lab Pack $795
50-User Network $1,195
Unlimited Network $1,700
(Consumer Versions available for $49.98)

Company: Boxer Learning, Inc.
Phone: (804) 817-5900
Fax: (804) 817-5910

Description:

Boxer Trigonometry starts with the basics and works its way through an entire trigonometry course. Concepts will be learned quickly and easily through appealing graphics and interactive presentation. Topics include angles and degrees, radians, ratios, the XY plane, the unit circle, functions-basics and properties, sine, cosine, tangent, reciprocals, identities, and laws.

Features

• Real-world Problem Solving
• Animations
• Lesson Summaries
• User Manipulations
• Built-in Calculator
• Brilliant Graphics
• Step-by-Step Instruction
• Glossary

Boxer Trigonometry Scope and Sequence

Angles and Degrees

Definition of an Angle * Degree Measure * Positive and Negative (Counter-clockwise and Clockwise) * Conversion Ratios: General and Mathematical * Measuring Angles * Converting Between Revolutions and Degrees * Angles of Rotation Greater than 360° * Coterminal Angles * Recognizing and Relating Some Important Angles: Multiples of 30° , 45° , 90° , 180° * The Importance of the Magnitude of an Angle in the Real World

Radians

Preliminaries * Circles * Center, Radius, and Circumference * Arcs and Central Angles * Radian Measure Defined * Radians and Revolutions * Converting Between Them * Angles of Rotation Greater than 2p * Radians vs. Degrees * Converting Between Them * Notation * Recognizing and Relating Some Important Angles: Multiples of p /6, p /4, p /2, p * The Arc Length Formula * Computing Arc Lengths * Subtended Angles * Radius of the Earth: Solving a Historical Problem

Trigonometric Ratios

Right Triangles * The Pythagorean Theorem Defined * Ratios of Side Lengths * Solving using Sin, Cos, Tan, and Side Lengths * Properties of Similar Triangles * Sine, Cosine, and Tangent * Ratios Defined in Terms of Right Triangles * Finding the Ratios with a Calculator * Solving the River Problem * Two Special Right Triangles * 45-45-90 Triangles and the Values of Their Ratios * 30-60-90 Triangles and the Values of Their Ratios

The XY-Plane

The Cartesian Coordinate System * Ordered Pairs * Triangles in the xy-plane * Using Coordinates to Find Side Lengths * The Distance Formula Derived from the Pythagorean Theorem * Solving the Grid Problem

The Unit Circle

The Bridge Problem * Angles in the xy-plane * Reference Triangles for Acute Angles * Using the Coordinates of a Point on an Angle to Find its Trig Ratios * Non-Acute Angles * Relating Signs of Coordinates to Signs of Ratios * The Unit Circle * Sine, Cosine, and Coordinates of Points on the Unit Circle * Reference Triangles * Reference Angles * 30,45 and 60 Degrees: Reference Angles and Trig Ratios * Zero and 90 Degrees: Reference Angles and Trig Ratios * The Bridge Problem Solved

Functions - Basics

Sets and Subsets * Mappings * Diagrams and Ordered Pairs * Functions * Domain and Range * Mathematical Functions * Notation * Plotting Points * The Graph of a Function

Functions - Properties

Shifting * Stretching * Flipping * Combined Effect * Relating Changes in Equations and Graphs * Periodic Functions * Relating Period or Cycle to Graph * Symmetric Functions * Formulas and Graphs * Trigonometric Functions Defined

Sine

Circular Motion Related to the Sine Function * Standard Sine Function * Graph, Domain and Range * Generalized Sine Function * Vertical Stretch * Horizontal Stretch * Vertical Shift * Horizontal Shift * Relating Changes in the Parameters of an Equation and its Graph * The Ferris Wheel * Manipulating Parameters to Fit a Sine Function to Plotted Data * Other Applications

Cosine

Standard Cosine Function * Graph, Domain and Range * Comparing Sine and Cosine * Generalized Cosine * Relating Changes in the Parameters of an Equation and its Graph * Mathematical Models with Cosine Instead of Sine * The Pendulum * Manipulating Parameters to Fit a Cosine Function to Plotted Data

Tangent

A Sundial: Illustrating the Behavior of the Tangent Function * Estimating Values of Tangent * Relating Tangent to Sine, Cosine and the Unit Circle * The Standard Tangent Function * Graph, Domain and Range * Vertical Asymptotes * Generalized Tangent Function * More About Tangent * Sketching Tangent Functions * Relating Changes in the Parameters of an Equation and its Graph * Determining Asymptotes for Graphing * Application: The Lighthouse

Reciprocals

A Sundial: Illustrating the Behavior of the Cotangent Function * Estimating Cotangent * Relating Cotangent to Sine, Cosine and the Unit Circle * Standard Cotangent * Reciprocals and Cotangent * Graphing Using Asymptotes, Roots and Characteristics of Reciprocals * An Example * Secant and Cosecant * Estimating Secant and Cosecant * Relating to Sine and Cosine * Exploring Relations Between the Trig Functions

Identities

Pythagorean Identities * Graphical Proofs * Sum Identities * Difference Identities * Double Angle Identities * Half Angle Identities * Proofs of the Identities * Solving Using the Identities * Approximating p Using Geometric Shapes and Identities

Laws

National Park Problem * Geometry Review: Area and Sum of Angles of Triangles * Law of Sines * Number of Possible Solutions * Solving with the Law of Sines: Given AAS, SSA * Law of Cosines * Solving with the Law of Cosines: Given SAS, SSS * Laws of Area * Heron's Law * Solving with the Laws of Area: Given SSA, AAS * Solving the Park Problem

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Howard J. Bender, Ph.D.
President
The Education Process Improvement Center, Inc.
P.O. Box 186
Riverdale, Maryland 20738
hjbender@epicent.com