Chabot College
Fall 2006
Replaced Fall 2010
Course Outline for Mathematics 65A
ELEMENTARY ALGEBRA
Catalog Description:
65A – Elementary Algebra A
3 units
Concepts covered in the first half of Mathematics 65, including signed numbers, polynomials and integer
exponents; linear equations and inequalities; introduction to graphs; set theory. Designed for those with
no previous algebra background. Prerequisite: Mathematics 105 or 105L, (both completed with a grade
of C or higher) or an appropriate skill level demonstrated through the Mathematics Assessment process.
May not receive credit if Mathematics 65 or 65L has been completed. 3 hours lecture, 0-1 hour laboratory.
[Typical contact hours: lecture 52.5, laboratory 0 - 17.5]
Prerequisite Skills:
Before entering the course, the student should be able to:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
perform computations with fractions, decimals, and signed numbers without a calculator;
build and simplify fractions;
convert between decimals, percents, and fraction representations;
determine the prime factorization of a natural number;
interpret natural number exponents;
apply the associative, commutative, and distributive laws;
apply the order of operations in evaluating expressions;
perform unit conversions in U.S. standard and metric units;
solve problems using ratios, proportions and percents;
find the areas, perimeters, and volumes of geometric figures and objects;
translate between words and the mathematical symbols for variables and operations;
interpret operations and variables in algebraic expressions;
create, interpret, and solve simple linear equations;
graph simple relationships between two variables;
solve word problems, including those using formulas and linear equations.
Expected Outcome for Students:
Upon completion of the course, the student should be able to:
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6.
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write using set theory notation;
apply order of operations to simplify algebraic expressions;
solve linear equations in one variable;
solve and graph linear inequalities in one variable;
graph linear equations in two variables by various methods;
add, subtract, multiply, and divide polynomials;
apply the formula for squaring a binomial;
apply algebraic methods to solve word problems;
solve formulas for any given variable;
apply the properties of integral exponents;
convert between scientific notation and standard notation;
find the slope of a line from the graph, from the definition and form the slope-intercept
equation of the line.
Course Content:
1.
2.
Set theory notation
Real number system
a.
Properties of addition and multiplication
b.
absolute value
Chabot College
Course Outline for Mathematics 65A, page 2
Fall 2006
3.
4.
5.
6.
7.
8.
9.
c.
Order of operations
d.
Graphing on the number line
Algebraic expressions
Linear equations
a.
Solving
b.
Applications
c.
Formulas
Linear inequalities on one variable
a.
Solving
b.
Graphing on the number line
c.
Applications
Operations and simplifying polynomials
Graphing linear equations in two variables
a.
Plotting points
b.
Plotting intercepts
Finding slope
a.
From the graph
b.
From two points
Exponents
a.
Integral
b.
Scientific notation
Methods of Presentation:
1.
2.
3.
Informal lectures
Class discussion of problems, solutions and student’s questions
Audio-visual materials
Assignments and Methods of Evaluating Student Progress:
1.
2.
Typical Assignments
a.
Exercises from the textbook
The balance in Wills’ Mastercard® account grew 2% to $870 in one month. What
was his balance at the beginning of the month?
b.
Collaboratives
Ask the students to work together to solve four application problems
Methods of Evaluating Student Progress
a.
Homework
b.
Quizzes
c.
Class participation
d.
Midterms
e.
Final exam
Textbook(s)(Typical):
Elementary Algebra Concepts and Applications, Bittenger and Ellenbogen, 7th ed., Addison Wesley, 2006
DH:al
Revised: 10/28/05