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Elementary Algebra Outcomes

Course Description:

Prerequisite: MTH 096 with a grade of C or better or an
acceptable score on the current College assessment instrument.
Includes natural numbers, integers, first-degree equations and
inequalities
, special products, factoring, rational expressions
and equations, graphs, and linear systems , exponents, and
quadratic equations . This course was previously MTH 107.
You may receive credit in MTH 107 or MTH 097, but not both.
( Equivalent to first year high school algebra). (45-0)

OUTCOMES and OBJECTIVES

Upon successful completion of this course, the student will be able to:

Outcome:

1. Students will develop their skills in number patterns , relationships, and
computation

Objectives:

 A. Compute (add, subtract , multiply and divide) with signed numbers without the use of a calculator.
 B. Simplify numerical expressions with multiple operations and grouping symbols using the order of operations.
 C. Simplify rates and ratios.
 D. Compute the opposite, reciprocal, and absolute value of a given real number.
 E. Estimate the value of a numerical expression.
 F. Identify an approximate answer to an application problem prior to working it out.
 G. Identify the appropriate unit of an answer to a word problem.

Outcome:

2. Students will develop their skills in the computation and recognition of
algebraic expressions .

Objectives:

 A. Add, subtract, and multiply polynomial expressions.
 B. Simplify algebraic expressions with multiple operations and grouping symbols using the order of operations.
 C. Simplify algebraic expressions using the rules of exponents .
 D. Simplify algebraic expressions using the distributive property .
 E. Compare and contrast terms and factors .
 F. Simplify rational expressions.
 G. Factor polynomials by taking out a common factor.
 H. Factor trinomials.
 I. Factor binomials of the form x^2 - y^2
 J. Identify an algebraic expression that cannot be factored.
 K. Compute the opposite and reciprocal of a given algebraic expression.
 L. Identify and give examples of like and unlike terms.
 M. Identify and give examples of linear, quadratic, rational, and radical expressions .
 N. Compare and contrast expressions and equations.

Outcome:

3. Student can solve a variety of equations, inequalities, and systems of
equations.

Objectives: Student will:

 A. Solve a variety of linear, quadratic (using the factoring method and the quadratic formula), radical, and rational equations.
 B. Verify the solution of an equation .
 C. Recognize situations in which an equation has no solution or has multiple solutions.
 D. Solve a variety of linear inequalities.
 E. Verify the solution of a linear inequality.
 F. Recognize situations in which a linear inequality has no solution or multiple solutions.
 G. Use interval notation, relational symbols ( <, >, ≤, ≥) dimensional graph, or a verbal description to describe a set of numbers.
 H. Solve a variety of systems of linear equations.
 I. Verify the solution of a system of linear equations.
 J. Recognize situations in which a system of linear equations has no solution or multiple solutions.

Outcome:

4. Student can recognize and understand concepts related to linear functions.

Objectives: Student will:

 A. Solve linear equations algebraically, graphically, and numerically.
 B. Solve systems of linear equations algebraically, graphically, and numerically.
 C. Compute the slope of a line in a variety of contexts.
 D. Identify the slope of a line as positive, negative, zero , or undefined.
 E. Interpret the slope of a line in context as a rate of change.
 F. Compute the y-intercept of a line in a variety of contexts.
 G. Interpret the y-intercept of a line in context as an initial amount.
 H. Compute the equation of a line in y = mx + b form in a variety of contexts.

Outcome:

5. Students will develop their skills in the construction and interpretation of
Cartesian graphs.

Objectives:

 A. Construct the graph of a line if given the equation of the line.
 B. Identify an appropriate scale for both axes when constructing a graph.
 C. Approximate one coordinate of a point on a graph is given the other.
 D. Identify graphs as linear or non-linear.

Outcome:

6. Students will develop their problem-solving skills

Objectives:

 A. Set up an equation or expression if given a word phrase.
 B. Describe in words the meaning of an expression or equation.
 C. Solve a variety of real world problems using the tools of algebra and mathematical modeling.

Outcome:

7. Students will communicate effectively about mathematics.

Objective:

 A. Use mathematics terminology effectively in writing and speaking.
 

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