• Courses numbered 1 - 49 are remedial or college preparatory courses which do not apply toward an A. A. Degree and are not intended for transfer.
• Courses numbered 50-99 apply toward an AA Degree, but are not intended for transfer.
• Courses numbered 100 and higher apply toward an AA Degree and/or are intended for transfer to a four-year college or university.

Unit Value: 3  

Lecture Hours Per Week: 3  

Lab Hours Per Week:  

Lecture/Lab Hours Per Week:  

 

Requisite(s)
To satisfy a prerequisite, the student must have earned a letter grade of A, B, C or P(Pass) in the prerequisite course, unless otherwise stated.

Prerequisite:
A minimum grade of 'C' in MATH 105

Corequisite:
None

Prerequisite: Completion of, or concurrent enrollment in
None

Recommended Preparation:
None

Limitation on Enrollment:
None

1. Use inductive and deductive reasoning to formulate mathematical conjectures and theorems;
2. Use critical thinking and problem solving skills to solve mathematical problems involving geometry and measurement;
3. Recognize a variety of figures and shapes from two and three dimensional geometries, and use their properties to solve problems in both geometric and non-geometric contexts.
4. Identify, demonstrate, and apply different kinds of transformations and symmetries;
5. Demonstrate the concepts of congruence and similarity and apply them to solve problems involving area, surface area, and volume;
6. Actively demonstrate a number of geometric constructions.

1. Lecture

At least the following topics will be covered:

1. Inductive and Deductive Reasoning:
1. Definitions and examples of inductive and deductive reasoning.
2. Comparisons of inductive and deductive reasoning.
3. Role of counterexamples.
4. Role of definitions.
2. Introduction to Polyhedra:
1. Polyhedra vocabulary.
2. Representing and visualizing polyhedra.
3. Properties of polyhedra.
4. Special polyhedra.
3. Polygons:
1. Polygon vocabulary and properties.
2. Organization and classification of polygons.
   
3. Organization and classification of triangles and quadrilaterals.
4. Symmetry:
1. Symmetries of planar figures.
2. Symmetries of polyhedra.
5. Transformation Geometry:
1. Definitions of isometries: translations, reflections, rotations.
2. Congruence in isometries.
   
3. Compositions of isometries; glide-reflections.
4. Tessellations of the plane.
6. Similarity:
1. Definition of similarity; ratios and proportions.
2. Determining similarity of planar and space figures.
3. Scale factors in planar and space figures.
4. Applications to area and volume.
   
7. Constructions:
1. Duplicating angles and segments; dividing a line into 'n' equal segments.
   
2. Constructing parallel lines, angle bisectors, perpedicular lines, and perpendicular bisectors.
3. Inscribing a circle inside a given triangle; circumscribing a circle around a given triangle.
   
8. Measurement:
1. Principles of measurement: units, standardized units, discrete and continuous quantities, uncertainty.
2. Conversions from US units to metric & metric to US units.
9. Area:
   
1. Areas of parallelograms, triangles, trapezoids, kites, and regular polygons.
2. Areas of circles.
3. Surface area.
10. Volume:
1. Polyhedrons, prisms, and pyramids.
2. Cylinders and cones.
3. Volume of a sphere.
11. Pythagorean Theorem:
1. Development of theorem.
2. Special triangles and applications.
3. Distance in coordinate geometry.
   

Additional topics may be included at the instructor’s discretion.

1. Sowder, Judy, et al. Reconceptualizing Mathematics, Part 3: Reasoning About Shapes and Measurement. Preliminary ed. New York: W. H. Freeman and Company, 2008.ISBN: 1-4292-1786-3

• Class Work
• Exams/Tests
• Group Projects
• Homework
• Journals
• Oral Presentation
• Papers
• Portfolios
• Projects
• Quizzes