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Intermediate Algebra: Objectives, Outcomes, and Assessment in MAT* G137 at Capital CC, Study notes of Mathematics

The intermediate algebra course offered by capital community college, including its subject area, course title, catalog description, lecture hours, credit hours, prerequisites, and objectives. The objectives cover various algebra topics such as rational expressions, equations and inequalities, graphing, relations and functions, radicals and rational expressions, conics, and systems of equations. The document also mentions the use of a graphing calculator.

Typology: Study notes

Pre 2010

Uploaded on 08/05/2009

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CAPITAL COMMUNITY COLLEGE
COURSE OUTLINE
INTERMEDIATE ALGEBRA
SECTION I
SUBJECT AREA & COURSE NUMBER: MAT* G137
COURSE TITLE: Intermediate Algebra
COURSE CATALOG DESCRIPTION: This course builds on the Introductory
Algebra foundation, deepening the study of some topics, and introducing new ones.
Topics include rational expressions, equations and inequalities, graphing, relations and
functions, radicals and rational expressions, conics, and systems of equations. This course
will include use of a graphing calculator.
LECTURE HOURS PER WEEK: 3 CREDIT HOURS: 3
PREREQUISITES: MAT* G094 or Qualifying score on Placement Test
SECTION II
A. SCOPE:
The objective of MAT* G137 is to enable the student to develop a solid understanding of
algebra as a method for solving problems, and to work with, interrelate, and apply the
principles of algebra governing: solutions of linear and quadratic equations (and certain
other equations reducible to linear and quadratic forms), operations on radicals and
rational expressions, the relationship between a graph and its equation, systems of
equations, and functions.
B. REQUIRED WORK: determined by the instructor as described in the course
syllabus
C. ATTENDANCE AND PARTICIPATION: Students are expected to attend each
class, arrive on time, take exams at the scheduled time, and participate in the in-class
learning process. (Specific instructor policies are included on the course syllabus).
D. METHODS OF INSTRUCTION: The methods of instruction are determined by
each instructor and may include but are not limited to: lecture; lecture/discussion; small
group collaborative learning; experiment/exploration; student presentations; use of
technologies such as audio-visual materials; computer; and calculator. 5/20/04
1
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CAPITAL COMMUNITY COLLEGE

COURSE OUTLINE

INTERMEDIATE ALGEBRA

SECTION I

SUBJECT AREA & COURSE NUMBER: MAT* G

COURSE TITLE: Intermediate Algebra

COURSE CATALOG DESCRIPTION: This course builds on the Introductory

Algebra foundation, deepening the study of some topics, and introducing new ones.

Topics include rational expressions, equations and inequalities, graphing, relations and

functions, radicals and rational expressions, conics, and systems of equations. This course

will include use of a graphing calculator.

LECTURE HOURS PER WEEK: 3 CREDIT HOURS: 3

PREREQUISITES: MAT* G094 or Qualifying score on Placement Test

SECTION II

A. SCOPE:

The objective of MAT* G137 is to enable the student to develop a solid understanding of

algebra as a method for solving problems, and to work with, interrelate, and apply the

principles of algebra governing: solutions of linear and quadratic equations (and certain

other equations reducible to linear and quadratic forms), operations on radicals and

rational expressions, the relationship between a graph and its equation, systems of

equations, and functions.

B. REQUIRED WORK: determined by the instructor as described in the course

syllabus

C. ATTENDANCE AND PARTICIPATION: Students are expected to attend each

class, arrive on time, take exams at the scheduled time, and participate in the in-class

learning process. (Specific instructor policies are included on the course syllabus).

D. METHODS OF INSTRUCTION: The methods of instruction are determined by

each instructor and may include but are not limited to: lecture; lecture/discussion; small

group collaborative learning; experiment/exploration; student presentations; use of

technologies such as audio-visual materials; computer; and calculator.

E. OBJECTIVES, OUTCOMES, ASSESSMENT

The following objectives and outcomes represent the Science and Mathematics Department’s core

requirements for student achievement.

Legend : *C denotes continuing; *N denotes new.

To assure an effective articulation of Introductory Algebra and Intermediate Algebra , it is important to

contrast learning outcomes continued from Introductory Algebra with those that are introduced for the first

time in Intermediate Algebra. In the following table, the designator *C identifies learning outcomes

continued from Introductory Algebra ; the designator *N identifies learning outcomes that are addressed for

the first time in Intermediate Algebra. Continued topics are treated more rapidly as a review, or they are

extended and deepened.

LEARNING

OBJECTIVES

LEARNING OUTCOMES ASSESSMENT

METHODS

To demonstrate an understanding of:

Student will: As measured by:

  1. Rational expressions

a) Add, subtract, multiply, and divide rational expressions *N b) Simplify rational expressions N Note: This will directly use topics from MAT G094 such as: axioms of the real number system, order of operation rules, and factoring polynomials over the integers. c) Find numbers for which a rational expression is not defined *N

Written in-class quizzes, tests, and examinations: presentations to the class;

  1. Concepts related to equations and inequalities in one variable

a) Solve equations and inequalities that contain an absolute value (one and two variables) *N b) Solve quadratic equations by completing the square *N c) Solve quadratic equations by formula *N d) Formulate a quadratic equation that models an authentic situation, and use the equation to explore the situation *N e) Solve equations containing variables raised to rational number exponents *N

out-of-class projects; written reports; portfolios; class participation; homework assignments

  1. Concepts related to equations in two variables

a) Solve for a variable in terms of other variables *C b) Use Distance formula *N c) Find the slope of a line *C d) Graph a linear equation by multiple methods *C e) Apply the slope relationships between parallel and perpendicular lines *N f) Given a line (2 points, point and slope, point and parallel to another line, point and perpendicular to another line), find its equation in various forms (point-slope, slope-intercept, general) *C g) Formulate a linear equation in two variables that models an authentic situation, and use the equation to explore the situation *C h) Solve a system of linear equations in two variables by elimination, substitution, and graphing *N i) Formulate a system of linear equations that models an authentic situation, and use the equations to explore the situation *N j) Work with conic sections as follows: *N

  • Use the definition of a circle to find its equation; convert between the center-radius form and the general form of an equation of a circle; graph the equation of a circle
  • Write the equation of a parabola whose axis of symmetry is parallel to a coordinate axis in the form: ; graph the equation of

2 y = a x ( − h ) + k or x = a y ( − k ) + h

2

such a parabola, and discuss its properties

  • Write the equation of an ellipse whose axes are parallel to the

coordinates axes in the form:

2 2

2 2

x h y k

a b

  • = ; graph the

equation of such an ellipse, and discuss its properties.