Provides additional information, experiments and problems on concepts presented in the video programs.
Languages: English
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Electrostatics and Electric Forces – Resource Correlation Guide – Unit 2
Provides additional information, experiments and problems on concepts presented in the video programs.
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Locus and Eccentricity of the Parabola
Presents several approaches that can be used to investigate the shape of the parabola. Locus and eccentricity are explained and then used to solve problems that involve determining and analysing equations of various parabolas.
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Binomial Theorem
Expansions of powers of a binomial are examined from the point of view of patterns, including the link between the coefficients and Pascal’s Triangle. Binomial expressions are then expanded using the Binomial Theorem.
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Eccentricity of the Ellipse
Orbits and sewers are just two of the examples used in this study of the eccentricity definition of ellipses. Eccentricity is defined, the shape of an ellipse as e approaches 0 and 1 is observed, and problems are solved using the eccentricity.
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Permutations and Combinations: Review
Combination locks and the Braille alphabet are some applications used to review the permutations and combinations module. Topics include the Fundamental Counting Principle, permutations, combinations, combinatorics and the Binomial Theorem.
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Describing Real World Phenomena Using Logarithms
Decibels, the Richter Scale, pH levels and the slide rule are applications of logarithms examined via experiments, interviews and solving problems.
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Alternate Locus Definitions: Ellipse and Circle
String and tacks are used to redefine the circle and ellipse using the concept of locus. Also shown: how to find the equation of a conic, use double-concentric graph paper, and solve problems that require an understanding of the concept of locus.
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Preparing for Examinations
A variety of strategies to make preparaton for writing a major mathematics exam more efficient and benefical are discussed. The information provided would transfer to many subject areas.
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Exponential and Logarithmic Functions: Review and Problem Solving
Reviews expressions, equations and graphs related to exponential and logarithmic functions. Graphs are presented as inverses, both in base 10 and base e. Demonstrates exponential growth and exponential decay.