Emphasis is placed on understanding the patterns in arithmetic sequences and the general term formula is manipulated to solve for a, n, tn, and d. A system of equations is used to solve an arithmetic means problem.
Producers: Alberta Advanced Education
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Normal Distribution
This program shows some of the ways in which statistics play a role in today’s society. The measures of central tendency — mean, median and mode — are reviewed and standard deviation is introduced as a measure of dispersion.
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Geometric Sequences
Students learn to identify what makes a sequence geometric, and using the principles behind its definition, derive its general term. Examples of geometric sequences found in music are explored.
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Characteristics of Normal Distribution
Characteristics of normal distribution are applied to a variety of problems involving data that is normally distributed. Problems involve topics such as the mean length of Walleye fish and hockey games.
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Arithmetic Series
Develops both forms of the sum formula used for arithmetic series questions. Manipulation of the formula demonstrates how to solve for a variety of unknowns. Demonstrates several different problem solving approaches using an open-ended question.
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Applications of Standard Normal Distribution
How tall is tall? How fit is fit? Sets of data from a variety of situations are used to show why we need a standard normal curve and how and where it is used. Z-scores are applied to solve problems involving probability distributions.
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Geometric Series
Examines the information explosion, animal population and aspects of the Orb spider web as examples of geometric series. Presents the general term formula for geometric series and are shows how to manipulate the formula to solve a variety of problems.
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Statistics: Review
This review of basic statistics and the normal curve identifies the main characteristics and properties of the normal curve and investigates standard normal distribution, z-score, and probability problems.
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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.