
MATH 0030  Introductory Algebra with Geometry Credits: 5 Hours/Week: Lecture NoneLab None Course Description: This course is a developmental course for students needing beginning algebra and geometry. Algebra topics include algebraic operations and properties of natural numbers, integers, rational numbers, and real numbers; solving linear equations and inequalities; applications of linear equations and inequalities; operations with polynomials; factoring; solving quadratics by factoring; graphing linear equations; and integer exponents. Geometry topics include lines and angles; angle pairs; parallel and perpendicular lines; triangles, quadrilaterals, circles, and sectors; area and perimeter; prisms, pyramids, cylinders, and cones; and surface area and volume. MnTC Goals None
Prerequisite(s): Assessment score placement in Math 0030. Corequisite(s): None Recommendation: None
Major Content
 Topics from Algebra
 Real Numbers
 Properties and operations
 Algebraic expressions and formulas
 Evaluating expressions and formulas
 Linear Equations, Graphs and Inequalities
 First degree equations and inequalities in one variable and applications
 First degree equations in two variables and graphs
 Exponents and Polynomials
 Properties of exponents
 Operations with polynomials
 Factoring quadratic expressions
 Solving quadratic equations by factoring
 Topics from Geometry
 Lines and Angles
 Point, line, plane, segment, ray, angle
 Classifying angles
 Angle pairs: vertical angles, supplementary angles, and complementary angles
 Parallel and perpendicular lines and the angles formed
 Triangles, Quadrilaterals, and Polygons
 Classifying triangles and quadrilaterals
 Isosceles Triangles Theorem
 Triangle Sum of Angles Theorem
 Angles of Convex Polygons
 Perimeter
 Area
 Pythagorean Theorem Circles
 Parts of circles
 Central Angles
 Circumference and Arc Length
 Area and Sector Area
Learning Outcomes At the end of this course students will be able to:
 Simplify linear and polynomial algebraic expressions.
 Demonstrate critical and logical reasoning when solving problems.
 Simplify arithmetic expressions.
 Communicate clearly a problems solution and its explanation for the intended audience in terms of the problem posed.
 Factor seconddegree polynomials.
 Find the area and perimeter of triangles, quadrilaterals, circles, and sectors.
 Find the surface area and volume of cylinders, cones, prisms, and pyramids.
 Graph linear equations in two variables.
 Model and solve applied problems using algebraic and geometric methods including linear equations, quadratic equations, or linear inequalities.
 Recognize and classify twodimensional and threedimensional objects.
 Simplify algebraic expressions involving integer exponents.
 Solve linear equations and inequalities symbolically, including literal equations.
 Solve problems using angle relationships.
 Solve quadratic equations by factoring.
 Write the equation of a line given certain conditions.
 find the length of a side of a right triangle, given the other two sides, using the Pythagorean Theorem.
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