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.
Countries: CA
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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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Sigma Notation
“Why is sigma notation useful?” and “Where is it actually used?” are questions answered in this program. Shows how calculators use sigma notation to determine trigonometric ratios and examines the various patterns present in Pascal’s triangle.
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Fundamental Counting Principle and Permutations
Stereos, clothes shopping, blood types, batting orders, telephone numbers and postal codes are topics used to demonstrate the fundamental counting principle. Students are introduced to permutations in a very general way.
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Sequences and Series: Review
This review of arithmetic and geometric sequences and series uses several common-sense approaches and formula manipulation to work with the patterns and relationships in a string of numbers.
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Permutations with Restrictions
Saddling up horses for a trail ride introduces permutations with restrictions. Formulas and common-sense approaches are used to solve permutation problems, including circular and ring permutations.
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Physical Properties of Conic Sections
Explores the topology of the double-napped cone and, through computer technology and graphics, demonstrates conditions necessary to produce the conic sections and their degenerates.
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Combinations
Choices pervade our lives. From concrete examples to questions with restrictions, students count choices and solve problems involving combinations. Practical and technological examples are included.
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General Quadratic Relation: An Introduction
Discusses the difference between a relation and a function, and focuses on developing the general quadratic relation and the conic sections that it defines.
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Probability
This review of the basics of probability shows how permutations can be used to solve probability problems in which order plays a role. New technology in DNA fingerprinting is one of the applications featured.