Montgomery College 2024-2025 Catalog 
    Jul 13, 2024  
Montgomery College 2024-2025 Catalog
Add to Favorites (opens a new window)

MATH 131 - Elements of Mathematics II: Geometry and Algebra

This course covers proportions, percents, and real numbers; basic geometry that includes congruence, similarity, symmetry, and transformations; measurement and coordinate geometry; and algebra emphasizing multiple representations. Intended for elementary education majors, this course is also suitable for parents of school-age children. PREREQUISITE(S): A grade of C or better in MATH 130  or consent of department. Four hours each week.

4 semester hours

Course Outcomes:
Upon completion of this course, a student will be able to:

  • Reason about how quantities vary together in a proportional relationship, using tables, double number lines, and strip diagrams as supports.
  • Distinguish proportional relationships from other relationships, such as additive relationships and inversely proportional relationships.
  • Employ different methods for solving problems involving proportions and percents.
  • Employ procedures for mental computation and estimation of percents.
  • Use unit rates to solve problems and to formulate equations for proportional relationships.
  • Use pictorial models to represent proportions and percents. 
  • Illustrate the connection between fractions and division, and how fractions, ratios, and rates are connected via unit rates.                   
  • Recognize algebraic reasoning in elementary mathematics.
  • Apply processes of reasoning to identify, solve, manipulate, and/or evaluate expressions, equations, and systems of equations.
  • Translate among multiple representations of a function.  
  • Recognize various representations and change patterns of linear and non-linear functions. 
  • Solve problems with tables, graphs, and equations. 
  • Find and describe patterns including finding the nth term of a sequence.
  • Explain, apply, and connect the general principles of measurement, the process of iterations, and the central role of units.
  • Explain area and volume and give rationales for area and volume formulas that can be obtained by finitely many compositions and decompositions of unit squares or unit cubes.
  • Explain common metric benchmarks for length, mass, and capacity and make conversions within the metric system.
  • Develop basic area formulas and the Pythagorean Theorem in a deductive sequence and use these formulas to compute area and length.  
  • Describe, compare, classify, and draw plane and space figures.
  • Explain the relationship among the formulas for the volume of prisms, cylinders, pyramids, and cones.
  • Use nets to explain how to find the surface area of prisms and cylinders.
  • Reason about proportional relationships and similarity.        
  • Perform rigid motions and relate them to congruence, symmetry, and similarity.
  • Explain the sum of angle measures in a polygon and compute the measures of specific angles.
  • Perform basic compass constructions and explain why they work.
  • Use technology to study plane figures.
  • Interpret statements that use geometric terminology.
  • Prove or disprove conjectures about geometric shapes. 

View Schedule of Classes

Add to Favorites (opens a new window)