Transform your Standard Deviants School videos into a complete lesson with these supplementary CD-ROMs! Within each lesson, you’ll find everything you need to present and reinforce the material covered in the program, including a Teacher’s Guide with helpful presentation notes, a Program Guide that lists the most important topics in each program, QuikNotes – illustrated notes with definitions and examples, and a quiz. Also usable with the Standard Deviants videos. Mac and PC compatible.
Subjects: Trigonometry and Circular Functions
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Radian Measurement
The discovery approach is used to examine an angle of one radian. Introduces the concept of radian measure and shows how to convert from radians to degrees and vice versa. Applications of radian measure to arc length and angular velocity are explained.
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Development of Circular Functions
Reviews previously learned vocabulary and concepts of the primary trigonometric ratios, degree/radian relationship and the development and application of special, quadrantal, reference and coterminal angles.
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Applications of Circular Functions
Students learn how to solve trigonometric equations of primary or reciprocal functions either algebraically or graphically.
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Graphing Trigonometric Functions
Students explore the relationship between radians and degrees and learn how to graph primary and reciprocal functions. Emphasis is placed on the importance of understanding the function’s properties including domain, range, period, and y-intercepts.
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Investigating the Properties of a,b,c and d
Using computer technology, students investigate the transformations of the trigonometric functions y = asin[b( c)]+d and y = acos[b( c)]+d.
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Combined Transformations of Trigonometric Functions
Demonstrates different methods of graphing transformations of trigonometric functions.
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Building Trigonometric Models: Graphing Trigonometric Functions
Models help students understand mathematical concepts as they occur in the natural world. In this program, trigonometry is used to model applications involving music, electricity and the Ferris wheel.
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Derivation and Use of Trigonometric Identities
Viewers learn how to present basic proofs and verify identities. Highlights Pythagorean, reciprocal and quotient identities. Fermat’s Last Theorem is briefly discussed as one example of a long standing mathematical puzzle.
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Sum and Difference Identities
A number of methods are used to verify the sum and difference identities. The negative and complementary arc identities are proven, exact values calculated, double angle identities are derived, and equations solved using identities.