Sequences and Series: Review

By Alberta Advanced Education - 1995

By Alberta Advanced Education - 1995

By Alberta Advanced Education - 1995

By Alberta Advanced Education - 1995

By Alberta Advanced Education - 1995

By Alberta Advanced Education - 1995

This 15-minute video familiarizes viewers with the Math Factor series by presenting examples from programs and demonstrating how to use the video and…

By Alberta Advanced Education - 1995

Water fountains and speeding cars are used to introduce polynomial functions, the basic terminology, the classification and properties of polynomial…

By Alberta Advanced Education - 1995

Historical anecdotes intersperse the teaching of long division with linear and nonlinear divisors. The concept of synthetic division is also…

By Alberta Advanced Education - 1995

The Remainder Theorem is illustrated, proven, and then used to prove the Factor Theorem.

By Alberta Advanced Education - 1995

Prior knowledge of factoring, the Remainder and Factor Theorems, the division algorithm and the graphs of functions are all brought together in this…

By Alberta Advanced Education - 1995

Discusses the problem solving process. Students are taught to derive equations of integral polynomial functions when given the zeros, a point and a…

By Alberta Advanced Education - 1995

This program reviews concepts relating to polynomial functions. Topics include the Factor and Remainder Theorems, division of polynomials, graphing…

By Alberta Advanced Education - 1995

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…

By Alberta Advanced Education - 1995

Reviews previously learned vocabulary and concepts of the primary trigonometric ratios, degree/radian relationship and the development and…

By Alberta Advanced Education - 1995

Students learn how to solve trigonometric equations of primary or reciprocal functions either algebraically or graphically.

By Alberta Advanced Education - 1995

Students explore the relationship between radians and degrees and learn how to graph primary and reciprocal functions. Emphasis is placed on the…

By Alberta Advanced Education - 1995

Using computer technology, students investigate the transformations of the trigonometric functions y = asin[b( c)]+d and y = acos[b( c)]+d.

By Alberta Advanced Education - 1995

Demonstrates different methods of graphing transformations of trigonometric functions.

By Alberta Advanced Education - 1995

Models help students understand mathematical concepts as they occur in the natural world. In this program, trigonometry is used to model…

By Alberta Advanced Education - 1995

Viewers learn how to present basic proofs and verify identities. Highlights Pythagorean, reciprocal and quotient identities. Fermat's Last Theorem…

By Alberta Advanced Education - 1995

A number of methods are used to verify the sum and difference identities. The negative and complementary arc identities are proven, exact values…

By Alberta Advanced Education - 1995

Trigonometric equations are solved using identities, systems of equations, and graphing technology. The cyclical nature of tides is explored.

By Alberta Advanced Education - 1995

A review of trigonometric and circular functions. Topics receiving special attention include radian measure, transformation of trigonometric…

By Alberta Advanced Education - 1995

Students learn to recognize the general characteristics of the graphs of exponential functions with various bases. Situations involving exponential…

By Alberta Advanced Education - 1995

Through a variety of real world applications, this program explores the concepts of exponential growth and decay. Examples include carbon dating…

By Alberta Advanced Education - 1995

Examines inverses, logarithms and their graphs and introduces the formal definition of logarithms and the characteristics of their graphs. Presents…

By Alberta Advanced Education - 1995

A review of the exponent laws is used to establish and prove the laws of logarithms. Students learn how to simplify and evaluate logarithmic…

By Alberta Advanced Education - 1995

Describes how to solve and verify exponential equations and logarithmic equations, both base 10 and non base 10. Presents historical facts about…

By Alberta Advanced Education - 1995

Decibels, the Richter Scale, pH levels and the slide rule are applications of logarithms examined via experiments, interviews and solving problems.

By Alberta Advanced Education - 1995

Reviews expressions, equations and graphs related to exponential and logarithmic functions. Graphs are presented as inverses, both in base 10 and…

By Alberta Advanced Education - 1995

Identifies finite and infinite sequences, the terms of a sequence given a function that describes it, and functions that describe simple sequences…

By Alberta Advanced Education - 1995

Addresses how to write the terms of a sequence, given its recursive definition, and the converse: how to define a sequence recursively, given its…

By Alberta Advanced Education - 1995

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…

By Alberta Advanced Education - 1995

Students learn to identify what makes a sequence geometric, and using the principles behind its definition, derive its general term. Examples of…

By Alberta Advanced Education - 1995

Develops both forms of the sum formula used for arithmetic series questions. Manipulation of the formula demonstrates how to solve for a variety of…

By Alberta Advanced Education - 1995

Examines the information explosion, animal population and aspects of the Orb spider web as examples of geometric series. Presents the general term…

By Alberta Advanced Education - 1995

"Why is sigma notation useful?" and "Where is it actually used?" are questions answered in this program. Shows how calculators use sigma notation to…

By Alberta Advanced Education - 1995

Explores the topology of the double-napped cone and, through computer technology and graphics, demonstrates conditions necessary to produce the conic…

By Alberta Advanced Education - 1995

Discusses the difference between a relation and a function, and focuses on developing the general quadratic relation and the conic sections that it…

By Alberta Advanced Education - 1995

Physical characteristics of the circle and ellipse are identified and related to the parameters of the general quadratic relation. The connection…

By Alberta Advanced Education - 1995

Provides an understanding of the general quadratic relation, Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, where B = 0 with respect to parabolas and hyperbolas.

By Alberta Advanced Education - 1995

Presents several approaches that can be used to investigate the shape of the parabola. Locus and eccentricity are explained and then used to solve…

By Alberta Advanced Education - 1995

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…

By Alberta Advanced Education - 1995

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…

By Alberta Advanced Education - 1995

Investigates several approaches used to study the hyperbola's shape: locus involving two fixed points; double concentric circles; the focus-directrix…

By Alberta Advanced Education - 1995

Shows how to identify the type of conic given a description based on any of the four forms, connect the various conics to their definitions and solve…

By Alberta Advanced Education - 1995

Each conic is studied individually in terms of its locus and eccentricity definition, identifying characteristics of the general form of the…

By Alberta Advanced Education - 1995

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 --…

By Alberta Advanced Education - 1995

Characteristics of normal distribution are applied to a variety of problems involving data that is normally distributed. Problems involve topics…

By Alberta Advanced Education - 1995

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…

By Alberta Advanced Education - 1995

This review of basic statistics and the normal curve identifies the main characteristics and properties of the normal curve and investigates standard…

By Alberta Advanced Education - 1995

Stereos, clothes shopping, blood types, batting orders, telephone numbers and postal codes are topics used to demonstrate the fundamental counting…

By Alberta Advanced Education - 1995

Saddling up horses for a trail ride introduces permutations with restrictions. Formulas and common-sense approaches are used to solve permutation…

By Alberta Advanced Education - 1995

Choices pervade our lives. From concrete examples to questions with restrictions, students count choices and solve problems involving combinations…

By Alberta Advanced Education - 1995

This review of the basics of probability shows how permutations can be used to solve probability problems in which order plays a role. New…

By Alberta Advanced Education - 1995

The probability of card games demonstrates the application of combinatorics to probability problems. Explores questions involving complementary…

By Alberta Advanced Education - 1995

The connection between Pascal's Triangle and binomial distribution is made using a model. Pascal's Triangle is used to carry out binomial expansion…

By Alberta Advanced Education - 1995

Expansions of powers of a binomial are examined from the point of view of patterns, including the link between the coefficients and Pascal's…

By Alberta Advanced Education - 1995

Combination locks and the Braille alphabet are some applications used to review the permutations and combinations module. Topics include the…

By Alberta Advanced Education - 1995

A variety of strategies to make preparaton for writing a major mathematics exam more efficient and benefical are discussed. The information provided…

By Alberta Advanced Education - 1995

Students and teachers discuss how to set up a game plane for writing an exam. Several exam questions are solved to help demonstrate how to approach…