Jan 22, 2021
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.
Prerequisite(s): Assessment score placement in Math 0030.
- 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
- Pythagorean Theorem Circles
- Parts of circles
- Central Angles
- Circumference and Arc Length
- Area and Sector Area
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 second-degree 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 two-dimensional and three-dimensional 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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