This 15-minute video familiarizes viewers with the Math Factor series by presenting examples from programs and demonstrating how to use the video and print components.
Producers: Alberta Advanced Education
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Solving Complex First- and Second-Degree Equations and Relationships
Trigonometric equations are solved using identities, systems of equations, and graphing technology. The cyclical nature of tides is explored.
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Introduction to Polynomial Functions and Their Graphs
Water fountains and speeding cars are used to introduce polynomial functions, the basic terminology, the classification and properties of polynomial functions (domain, range, x- and y- intercepts), as well as rudimentary graphing techniques.
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Trigonometric and Circular Functions Review
A review of trigonometric and circular functions. Topics receiving special attention include radian measure, transformation of trigonometric functions, solving trigonometric equations, and proving identities.
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Division of Polynomial Functions and Their Graphs
Historical anecdotes intersperse the teaching of long division with linear and nonlinear divisors. The concept of synthetic division is also presented, along with a strategy for finding missing coefficients.
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Sketching and Graphing Exponential Functions
Students learn to recognize the general characteristics of the graphs of exponential functions with various bases. Situations involving exponential growth and decay are explored. Students solve and verify exponential equations.
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The Remainder and Factor Theorems
The Remainder Theorem is illustrated, proven, and then used to prove the Factor Theorem.
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Exponential Growth and Decay
Through a variety of real world applications, this program explores the concepts of exponential growth and decay. Examples include carbon dating, bacterial growth, DNA splicing and the effect of the bubonic plague on current world populations.
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Factoring and Graphing Polynomial Functions
Prior knowledge of factoring, the Remainder and Factor Theorems, the division algorithm and the graphs of functions are all brought together in this program. The concept of multiplicity is modelled in a unique way and its effects are shown with graphics.
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Inverse of the Exponential Function: The Logarithmic Function
Examines inverses, logarithms and their graphs and introduces the formal definition of logarithms and the characteristics of their graphs. Presents rewriting logarithmic expressions in exponential form and vice versa and the properties of logarithms.