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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.
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To demonstrate an understanding of:
Student will: As measured by:
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;
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
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
2 y = a x ( − h ) + k or x = a y ( − k ) + h
2
such a parabola, and discuss its properties
coordinates axes in the form:
2 2
2 2
x h y k
a b
equation of such an ellipse, and discuss its properties.