This lesson continues the concepts of mathematics introduced in Positive and Negative Numbers, Powers, and Roots.
Introduction to Algebra (A4306)
This lesson is designed to build on the skills presented in the fifth lesson of this program Positive and Negative Numbers, Powers, and Roots.
This lesson introduces algebra by presenting typical symbols that are used inmathematical expressions. In this lesson, participants learn how to write and solve equations.
Define the term variable. Substitute symbols for words in mathematical expressions. Combine like terms in a mathematical expression. Use unit analysis to estimate answers to mathematical equations. State the rules for adding and subtracting like and unlike terms. State the rules for multiplying and dividing like and unlike terms. Define the term equation. Given word problem, write the corresponding equation. Recognize common equations (formulas). Use common equations to solve problems. Estimate the answers to problems involving variables. Manipulate equations to solve for an unknown variable. Identify the proper order of operations. Use positive and negative signs in equations. Use powers and roots in equations; solve equations. Identify key words in the problem. Solve a multiple-equation problem.
APPLIED MATHEMATICS (9)
This lesson reviews the basic concepts of comparing, rounding, adding, subtracting, multiplying, and dividing whole numbers. It also reviews the steps for solving addition, subtraction, multiplication, and division problems. Participants learn about using estimating techniques and the calculator to solve mathematical problems. Participants also learn about a basic problem-solving strategy that can be applied to solve many mathematical problems. The first in a nine lesson series.
This lesson provides instruction in mathematical operations that require the use of decimals. Participants learn how to read decimal numbers as well as compare their values and round them. Participants also learn how to add, subtract, multiply and divide decimals, both with pencil and paper and with a calculator. The lesson provides many examples of applications at home and at work. The second in a nine lesson series.
In this lesson, participants learn how to draw comparisons between one amount and another. The concepts of percent, percentage, and base are taught and the relationship of these concepts to each other. Participants also learn how to find percent, percentage, and base by using paper and pencil as well as with a calculator. In addition, the lesson explains the concepts of ratio and proportion. This lesson teaches how to identify and construct both a ratio and proportion. Participants also learn how to use proportions to convert measurements from English to metric units. The fourth in a nine lesson series.
This lesson introduces the concepts of positive and negative numbers, powers and roots. Participants learn how to use positive and negative numbers in addition, subtraction, and multiplication. Additionaly, the lesson explains formulas and how to use them. The concepts presented in this lesson are designed to prepare participants for algebra. The fifth in a nine lesson series.
This lesson reviews the concepts and basic procedures of recognizing, converting, and solving problems using the English and the metric measurement systems. It introduces strategies that participants can apply to estimate metric and English equivalents as well as solving measurement problems with or without a calculator. In addition, participants learn the process of setting up and solving measurement problems with multiple conversions using unit analysis. The seventh in a nine lesson series.
This lesson teaches participants the basics of plane and solid geometry. It also specifically prepares participants to use geometric formulas in solving everyday problems. Topics presented in this lesson include the concepts of perimeter, area, and volume. Each topic introduces the appropriate formulas for determining the measurements of the most common geometric shapes. The eighth in a nine lesson series.
This lesson provides an introduction to some basic principles of statistics. Emphasis is on statistical functions that are most commonly encountered in the workplace and everyday life. The topics covered include construction and interpretation of charts and graphs. The lesson also explains averages such as mean, median and mode and the appropriate use of each. The ninth in a nine lesson series.