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Mathematics DVDsAN INTRODUCTION
TO MATHEMATHICS FRACTIONS This video mathematics lesson gives the student a comprehensive overview of fractions. It captures the students’ attention at the very outset by asking them to recall times when they were younger, when mom may have divided pieces of candy or a pizza, giving each child a share. This recollection should cause them to realize that fractions have always been a part of their life, even before school. The lesson teaches students the difference between improper fractions and mixed numbers and how to convert one to the other. They learn how to add and subtract fractions with different denominators by finding the least common denominator. In teaching multiplication of fractions, this video presents both the cancellation and multiplication methods. In division, the reason for inversion of the divisor is presented. Because the study of mathematics is a step-by-step learning process...because the elements are sequential, with the mastery of one subtopic leading logically to the next…this lesson shows the student how fractions are related to decimals and percentages. It provides a complete treatment for the understanding of fractions and prepares the student for the next topic. [color, 42 minutes] $39.95 MA0002 DECIMALS This video mathematics lesson begins by establishing the relationship between decimals and an already familiar concept...fractions. This is accomplished by challenging the student to solve the following riddle: “What kind of fraction is it that always has as its denominator a power of ten, such as a tenth, a hundredth or a thousandth. What’s more, this fraction’s denominator is not written out in fractional form, but is indicated by the position of a tiny dot. The numerator of this fraction is the same as the numbers which are actually written out to the right of the dot.” With the notion of what a decimal really is clearly defined, the video continues, showing how easy it is to change a decimal to a fraction and then change the fraction back to a decimal. Students will learn and understand how to read, point-off and round decimals and how to add, subtract, multiply and divide them. They learn the importance of observing rules such as always lining up the decimal point when adding and always moving the decimal the correct number of places when dividing. Finally they will gain mastery in solving some word problems involving decimals. A complete, thorough presentation of decimals and how they are used. [color, 36 minutes] $39.95 MA0003 PERCENTAGES This video mathematics lesson begins by teaching the student that percent simply means hundredths. With that concept firmly in mind, it’s quite easy for them to understand that percentages may be converted to their decimal or whole number equivalents by simply shifting the decimal point two places to the left and removing the percent sign. Likewise they easily see that the reverse process changes a decimal to a percentage. They are then introduced to percentages which include fractions, such as 15 2/3 %, and shown how to convert these to decimals. Then it’s on to addition, subtraction, multiplication and division of percentages, with the suggestion that conversions to decimals should be made first. The video lesson also devotes a good deal of time to explaining percentage word problems. A comprehensive overview of percentages that will impart a thorough understanding of the subject to students and provide them with basic skills to meet objectives. [color, 28 minutes] $39.95 MA0004 POSITIVE AND NEGATIVE NUMBERS This video mathematics lesson examines positive and negative numbers and how to add, multiply, subtract and divide them. Students often find the idea of negative numbers particularly confusing. To help visualize this concept, this video presents a line segment marked off at regular intervals along its length with numbers. A zero is placed at the middle of the line with positive numbers to the right and negative ones to the left. With the concept of negative numbers now less abstract, the video uses the line segment to “walk” the student through addition and subtraction of positive and positive numbers, explaining when to move to the left and right. They see by use of the line segment why 6-(-2) is 8 and not 4. Rules for multiplication and division are presented in a very straightforward manner, and students receive reinforcement as they work through several problems on the screen. Then these skills are put to use as students gain experience in solving word problems involving positive and negative numbers. Here are some samples: A comprehensive overview of a sometimes confusing mathematical concept, this video will cut through the haze and provide your students with a solid foundation for later studies. [color, 29 minutes] $39.95 MA0005 PRINCIPLES OF THE METRIC SYSTEM This video mathematics lesson begins with the study of the metric system by introducing students to its basic units for length, volume and weight. Comparisons to the English units are made initially so that students will have some concept for the dimensions of each unit. However, the video stresses the importance of learning to associate each metric measurement with specific quantities without reference to the English equivalent. Students will quickly see that, because the metric system is based on decimals…powers of ten, it is very logical and convenient to use. They, therefore, have a powerful incentive for learning. We feel it is important that students be shown the method for finding answers as well as the reasons why these methods work. Therefore, in the problem-solving sections, the logic for moving the decimal to the left in some cases and to the right in others is fully explained and illustrated. What determines the number of places the point is to be moved? Once again, learning the mechanics of the operation is not sufficient, so we present the students with reasons why the procedure works. This video is appropriate both as an introductory lesson and as a refresher lesson for more experienced students. [color, 30 minutes] $39.95 MA0006 AREA AND VOLUME This video mathematics lesson begins by giving the student a conceptual definition for area and volume. For example, area is defined as a two-dimensional plane bounded by a set of points...or more simply, the amount of surface an object encompasses. Volume is defined as the amount of space occupied by an object or its capacity. The lesson then continues with solutions for finding the area of a variety of figures...rectangles, squares, circles, parallelograms, triangles, trapezoids, solid rectangles, cubes, cylinders, and spheres. Then, it’s on to volume. In this portion, the principles involved in finding the volume of rectangular solids, cubes, spheres, cylinders, cones, and pyramids are graphically illustrated. In each case, for both area and volume problems, the rationale for formulas is given. All problems are worked in a step-by-step logical fashion. This presentation is an easy-to-understand lesson that will help teach students about the mathematics of area and volume. It will also provide a foundation for more advanced courses. [color, 32 minutes] $39.95 MA0007 EXPONENTS, POWERS OF TEN AND SCIENTIFIC NOTATION In newspaper stories and TV newscasts, a person may read or hear that the federal deficit is 4 trillion dollars or that some new virus has been discovered that it is ten-millionth of a millimeter in length. Learning how to interpret and handle such extremely large or small numbers is a basic mathematics skill no person can afford to be without. And certainly mastery of these skills is a required teaching objective in any curriculum. Conceiving of quantities such as 4 trillion or one ten-millionth may be difficult, but writing and manipulating them is easy, using exponentials. In this video mathematics lesson, students will learn how to express very large and very small numbers, using powers of ten and scientific notation. In converting ordinary numbers to exponentials, they will understand why the decimal point is moved to the left in some cases and to the right in others. They will see that there is a correlation between the number of places the decimal is shifted, and the value of the exponent of ten. Finally students will gain skills in multiplying, subtracting, adding and dividing exponentials. Throughout this video, we stress logic, not just memorization of rules. This lesson makes crystal clear, “the why” behind mathematical operations. A comprehensive overview of exponents, this video will facilitate student comprehension and enhance teacher effectiveness. [color, 38 minutes] $39.95 MA0008 RATIO AND PROPORTION This video mathematics lesson brings ratio and proportion problems to life. Students are often surprised to see that these type problems are very useful for calculating information such as the win-loss record of the school teams, the amount of milk to be used in a cookie recipe, or how to construct a scale drawing for the neighborhood clubhouse. Students may also be pleasantly surprised to realize that ratio and proportion problems are quite easy to solve, in part, because answers can be found by performing operations with which they are already familiar... operations such as division, reducing fractions, and multiplying. Throughout the video much emphasis is placed on a logical no-nonsense approach to finding solutions. We want the student to know why an operation works, so reasons, as well as rules, are presented. A comprehensive treatment of, and a very valuable supplement for the teaching, of ratio and proportion. [color, 35 minutes] $39.95 MA0009 MATH FOR LIVING This video mathematics lesson demonstrates just how practical and useful mathematics can be in everyday life. Students will see how a knowledge of decimals and percentages can be used to calculate the amount of a paycheck, whether or not the deductions are correct and how much a raise in salary might come to. They are taught how to determine property and sales taxes, and how to figure if they are due a refund on their income tax return. Students quickly see that skills in basic mathematics can save them money when purchasing items “on sale”. They learn to be discriminating about price. Is it really a bargain or does it just sound good? Buying on the installment plan, paying interest, investing in stocks, calculating interest, buying insurance, ordering materials for home improvement projects, calculating utility bills, even following a recipe...topics every consumer should be familiar with. Students should not leave school without these necessary skills. This video will help ensure that they don’t. [color, 35 minutes] $39.95 MA0010 INTRODUCTION TO ALGEBRA: Basic Concepts And Graphical Analysis This video mathematics lesson introduces students to basic concepts in algebra. Using the simple analogy of the balance, the video makes clear to students that adding, subtracting, multiplying or dividing does not change equality if both sides are treated equally. They will understand how this reasoning applies to balancing an equation. The mystery and confusion that sometimes surrounds the arithmetic manipulation of letters and symbols is replaced by an understanding that these notations actually represent numerical quantities. Students learn how to solve simple equations and are taught to distinguish equations from inequalities. They see how these principles are applied to common situations in the word problems presented and solved. Finally, this lesson demonstrates the method of graphical analysis. They will learn how to locate ordered pairs on a coordinate system and how to graph a complete equation. This video provides students with a solid foundation for their first year of algebra. [color, 38 minutes] $39.95 MA0011 INTRODUCTION TO GEOMETRY: Basic Concepts This video mathematics lesson introduces your students to basic geometry, that branch of mathematics which deals with relationships between angles, lines, points and figures. The lesson begins by describing a point as a dimensionless location in space and a line as connected points having no height or width. Then students are taught how to draw and label line segments and rays and how to bisect angles using a compass. Next they learn about angles...the difference between supplementary and complementary angles, and the definition of corresponding, alternate exterior, acute and obtuse angles. They will see how to properly construct and read angles using a protractor and a compass. The lesson helps students distinguish the different types of polygons. They will understand the characteristics of several kinds of triangles and learn how to work related problems. This video will provide students with a basic overview of elementary geometry, which should serve as a solid foundation for future studies in this area of mathematics. [color, 41 minutes] $39.95 MA0012 INTRODUCTION TO TRIGONOMETRY: Basic Concepts This video mathematics lesson introduces the student to the relationships between angles and the sides of triangles. Specifically, they will become acquainted with the meanings of terms such as congruent sides and congruent angles, hypotenuse, the Pythagorean theorem, sine, cosine, tangent and more. They will discover, as the ancient Greeks did thousands of years ago, that there is much to be learned about the simple triangle. They are taught how to measure angles with a protractor; the way in which an angle is divided into degrees, minutes and seconds of arc; and how angles are properly labeled. The characteristics of various triangles are described and attention is devoted to solving problems using the right triangle. Students will gain an understanding of the Pythagorean theorem and will be introduced to the fundamental concepts involved in solving problems using trigonometric functions. This lesson offers students an excellent introduction to the study of trigonometry. [color, 41 minutes] $39.95 MA0013 COLLECTING AND INTERPRETING DATA Means, Modes, Ranges, Graphs, And Probability In many instances the process of measuring and quantitatively assessing situations, even if it’s only to “put things in perspective” requires that many different pieces of numerical information be collected and analyzed. Collecting data helps to minimize distortions and erroneous impressions that might result if only one or two pieces of information are examined. This video mathematics lesson introduces the student to number analysis. They learn the definitions of mean, mode and range. Then after organizing data in a frequency table, they learn to calculate the value of the various types of averages. This lesson illustrates how data is pictorially displayed on various kinds of graphs...bar, line and circle. Students are shown how to interpret information from each one and how to construct graphs of their own. Then students explore the world of probability, as they are taught the procedure and logic commonly used in solving word problems... problems asking for a determination of mean, mode, median and range. This video provides a comprehensive introduction to data interpretation and number analysis. [color, 35 minutes] $39.95 MA0014 |
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