The following objectives are listed in a sequence ranging from the simple to the more complex. As such, this document should not be viewed as a chronological guide to the course, although some elements naturally will precede others. These elements should be viewed as mastery goals which will be reinforced whenever possible throughout the course.

I. Concepts and skills associated with numbers (whole and rational) and the place­value system.

1. simplify exponential expressions with whole number exponents and fractional bases
2. calculate square roots of perfect squares
3. simplify numerical expressions

II. Solving application problems.

1. that yield linear equations
2. that are formula based (such as the formula for perimeter of a rectangle)
3. that use ratio and proportion

III. Measurement concepts and skills.

1. identify and use appropriate units of measure
2. calculate using denominate numbers
3. solve measurement conversion problems

IV. Operations on integers and rational numbers.

1. perform operations with rational numbers
2. understand the algebraic and geometric definitions of absolute value and simplify expressions containing the absolute value symbol
3. simplify expressions involving grouping symbols
4. simplify exponential expressions with whole number exponents and integer and signed fraction bases
5. understand and use the exponent laws involving whole number exponents
6. evaluate variable expressions and formulas

V. Comparison of the real number system and its various subsystems in terms of structural characteristics including operations.

1. classify real numbers as members of the appropriate subset of real numbers
2. identify and use the properties and identities of real numbers
3. determine the position of integers and signed fractions on the number line
4. investigate division by zero and operations with zero

VI. Polynomials

1. use the definition of a polynomial to distinguish between expressions that are polynomials and expressions that are not
2. classify polynomials by degree and number of terms
3. add and subtract polynomials
4. multiply a polynomial by a monomial
5. multiply a binomial by a binomial (no special products)
6. divide a polynomial by a monomial
7. simplify polynomial expressions

VII. Rational expressions

1. simplify rational expressions with variables (monomial numerators and denominators only)

VIII. Concepts and skills involving linear equations in one variable

1. solve linear equations in one variable involving integers, decimals and fractions
2. recognize conditional equations, identities and equations with no solution

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Last updated August 14, 1999. Comments, questions, suggestions?