Lesson Twenty Six - Probability
Probability is a subject that demonstrates the importance of understanding fractions, decimals and percents. Probability is introduced as a measure of uncertainty or chance. The difference between theoretical probability and experimental probability is explored. Uses of probability in weather reports, insurance, risk analysis and polls are discussed.
Fundamental rules of probability are developed using examples. Words such as independent, disjoint, and complement are explained in a meaningful context.
You Will Learn
- To define probability as a measure of chance or uncertainty.
- To enumerate various uses of probability.
- To define the difference between theoretical and experimental probability.
- To define disjoint.To define independent events.
30 Minutes. Teaching guide and worksheet enclosed.
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Lesson Twenty Seven - Measurement
This program provides an overview of measurement. The importance of standardizing measurement units is discussed from a historical perspective. The metric system is discussed at length. Measures of distance, mass and capacity are discussed. The consistent use of prefixes such as milli-, centi-, and kilo- are investigated.
Measurement of area, volume and temperature are presented. Special measurements such as the light year and the acre are discussed. Finally, measurement of rates such as miles per hour, points per game, and beats per minute is discussed.
You Will Learn
- To define the meaning of the prefixes milli-, centi-, and kilo-.
- To define the meter as the basic unit of length.
- To define the gram as the basic unit of mass.
- To define the liter as the basic unit of capacity.
- To select the appropriate unit to measure the area or volume of common items.
30 Minutes. Teaching guide and worksheet enclosed.
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Lesson Twenty Eight - Problem-Solving Techniques
This lesson introduces problem-solving techniques now that you have all the necessary concepts and methods to tackle nonstandard problems.
Problems are presented that allow you to use a chart, simplify a problem by reducing its size, and expanded visualization of a problem. The key concept of this program is to recognize that rather than memorize specific algorithms (or methods) for each type of problem; an effective problem-solver has some techniques that can be applied to a variety of problems.
You Will Learn
- To use a chart to help solve a problem.
- To make a problem smaller or simpler to help solve it.
- To expand the limits of visualization to solve a problem.
- Valid problem-solving techniques in an attempt to solve a given problem.
30 Minutes. Teaching guide and worksheet enclosed
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Lesson Twenty Nine - Solving Simple Equations
Solving equations is one of the primary uses of algebra. This lesson introduces a method for solving relatively simple linear equations of one variable. Starting with simple equations such as 3x = 15 and x + 5 = 11, the student can develop a sense of the purpose of solving equations.
Each step adds a bit more complexity to the process. Eventually the student is able to solve equations such as 3(x + 5) - 6x = 11 - 2x + 8. The importance of checking answers using the original equation is emphasized throughout the lesson.
You Will Learn
- To solve equations of the form ax = b or x + c = d.
- To solve simple linear equations with a variable term on both sides of the equation.
- To solve simple linear equations where like terms must be combined.
- To solve simple linear equations that involve parentheses.
- To check the solution to an equation using the original equation.
30 Minutes. Teaching guide and worksheet enclosed.
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Lesson Thirty - Introduction to Algebra I
Since Algebra I is the next step for a student who has successfully completed Basic Math, this last lesson acts as an introduction to that subject. Algebra is discussed as a generalization of arithmetic. The arithmetic of polynomials is related to the arithmetic of whole numbers.
The vital nature of Algebra I is discussed and hope is expressed that the student will see Algebra I with a new awareness after completing Basic Math. Finally, a review is conducted of the important concepts of arithmetic learned in this series.
You Will Learn
- To relate algebra to arithmetic.
- To explain the importance of algebra.
- The meanings of addition and subtraction.
- The rules are the same for adding, subtracting, and multiplying fractions as for whole numbers.
30 Minutes. Teaching guide and worksheet enclosed. |
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