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Program
Descriptions
1.
Inverse Operations
Explores the nature of variables and introduces the process of solving
algebraic equations through the formation of equivalent equations.
Demonstrates how algebra is used in everyday life to solve problems.
2.
Order of Operations
Defines the order of operations for multiplication, division, addition
and subtraction, and the order of operations within grouping symbols.
Also covered are exponents and a discussion of how these rules may
be used to simplify algebraic problems.
3.
Basic Properties
Explores the properties of addition and multiplication of numbers
and variables. Discusses how these properties may be used to simplify
algebraic problems.
4.
The Positive and Negative Numbers
Explains the real number line and the effect of directions on the
set of real numbers. Also examines the relationship between positive
numbers, negative numbers and zero, and demonstrates the need and
uses of positive and negative numbers.
5.
Using Positive Exponents
Defines exponents using positive integers and scientific notation.
Illustrates the usefulness of exponents and introduces the rules
of using them. Reinforces the use of exponents in computing square
and cubic measures.
6.
Polynomials and Equations
Develops an understanding of like and unlike terms and defines polynomials.
Explores the nature of different kinds of polynomials and presents
methods for solving two equations in two unknowns. Demonstrates
ways to solve verbal problems with two unknown quantities.
7.
Factoring I
Defines variable, constant, term, polynomial, monomial, binomial,
trinomial, factor, multiple, prime factor, divisor, the degree of
polynomial, and quadratic equation.
8.
Factoring II
Reviews the vocabulary from the previous program and develops techniques
for factoring a quadratic equation.
9.
Fractions
Shows the relationship between arithmetic fractions and algebraic
fractions. Demonstrates how to reduce algebraic fractions by dividing
out common fractions. Discusses addition, subtraction, multiplication
and division of algebraic fractions and how to solve equations involving
algebraic fractions.
10.
Words Into Symbols
Explains how expressions or sentences in words can be translated
into algebraic expressions or sentences and introduces several problem-solving
strategies.
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