Algebra I (Introductory Algebra)

Catalogue Description: The course will cover the following: whole-number exponents; order of operations; measurement; polynomials and linear equations; graphing; geometry applications. Applications and problem-solving skills are emphasized throughout the course. The use of calculators is discouraged. Writing assignments, as appropriate to the discipline, are part of the course. The included curriculum is broken into 13 units.

Students the Course is Expected to Serve: This course is intended for students who have strong arithmetic skills but lack skills in algebra or desire a review of the subject matter.

Course Objectives:

1. Understand and make connections between numbers and algebra.
2. Convert phrases and sentences into algebraic forms to solve contextual problems.
3. Utilize algebraic and geometric formulas to solve contextual problems.
4. Develop the ability to perform computations without the use of technological or computer aids.
5. Write and communicate the results of problem solving appropriately.

Student Learning Outcomes: Upon satisfactory completion of the course, students will be able to:

A. Know and use order of operations.
B. Understand the order relations on the set of real numbers and be able to illustrate them on the real number line (review).
C. Know terminology of algebra, including: variables, like terms, factors, numerical coefficients, and constants.
D. Demonstrate knowledge of a variable as a representation of a number.
E. Evaluate algebraic expressions, whole-number exponents and introduce square roots of perfect squares.
F. Simplify algebraic expressions by combining like terms, including the removal of parentheses, braces or square brackets.
G. Translate verbal expressions into algebraic (or numerical) expressions and vice versa.
H. Recognize and represent numerical or algebraic expressions in equivalent forms.
I. Solve one step and two step linear equations in one variable.
J. Graph and interpret sets of data on a rectangular coordinate system.
K. Apply and interpret concepts involving measurement, including conversion between different units to multiple contextual situations.
L. Apply and interpret formulas involving ratio and proportions.
M. Apply and interpret formulas using area and perimeter, and volume for two and three-dimensional figures.
N. Apply and interpret angle measurement, including supplementary and complementary angles, to multiple contextual situations.

Topical Outline: The course will cover the following topics:

1. Arithmetic Review
2. Introduction to Variables
3. Algebraic Expressions
4. Solving Equations
5. Inequalities
6. Graphs
7. Formulas and Patterns
8. Introduction to Functions
9. Formulas and Functions
10. Introduction to Linear Functions
11. The Equation of a Linear Function
12. Linear Equations and Inequalities
13. Systems of Linear Equations
14. Polynomials and Exponents

A more detailed breakdown of topics and curriculum outline can be found here.