Jul 07, 2020  
2019-2020 Course Catalog 
2019-2020 Course Catalog [ARCHIVED CATALOG]

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MATH 0030 - Introductory Algebra with Geometry

Credits: 5
Hours/Week: Lecture None Lab 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

Prerequisite(s): Assessment score placement in Math 0030.
Corequisite(s): None
Recommendation: None

Major Content
  1. Topics from Algebra
    1. Real Numbers
      1. Properties and operations
      2. Algebraic expressions and formulas
      3. Evaluating expressions and formulas
    2. Linear Equations, Graphs and Inequalities
      1. First degree equations and inequalities in one variable and applications
      2. First degree equations in two variables and graphs
    3. Exponents and Polynomials
      1. Properties of exponents
      2. Operations with polynomials
      3. Factoring quadratic expressions
      4. Solving quadratic equations by factoring
  2. Topics from Geometry
    1. Lines and Angles
      1. Point, line, plane, segment, ray, angle
      2. Classifying angles
      3. Angle pairs: vertical angles, supplementary angles, and complementary angles
      4. Parallel and perpendicular lines and the angles formed
    2. Triangles, Quadrilaterals, and Polygons
      1. Classifying triangles and quadrilaterals
      2. Isosceles Triangles Theorem
      3. Triangle Sum of Angles Theorem
      4. Angles of Convex Polygons
      5. Perimeter
      6. Area
      7. Pythagorean Theorem Circles
        1. Parts of circles
        2. Central Angles
        3. Circumference and Arc Length
        4. Area and Sector Area

Learning Outcomes
At the end of this course students will be able to:

  1. Simplify linear and polynomial algebraic expressions.
  2. Demonstrate critical and logical reasoning when solving problems.
  3. Simplify arithmetic expressions.
  4. Communicate clearly a problems solution and its explanation for the intended audience in terms of the problem posed.
  5. Factor second-degree polynomials.
  6. Find the area and perimeter of triangles, quadrilaterals, circles, and sectors.
  7. Find the surface area and volume of cylinders, cones, prisms, and pyramids.
  8. Graph linear equations in two variables.
  9. Model and solve applied problems using algebraic and geometric methods including linear equations, quadratic equations, or linear inequalities.
  10. Recognize and classify two-dimensional and three-dimensional objects.
  11. Simplify algebraic expressions involving integer exponents.
  12. Solve linear equations and inequalities symbolically, including literal equations.
  13. Solve problems using angle relationships.
  14. Solve quadratic equations by factoring.
  15. Write the equation of a line given certain conditions.
  16. find the length of a side of a right triangle, given the other two sides, using the Pythagorean Theorem.

Competency 1 (1-6)
Competency 2 (7-10)

Courses and Registration

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