Curriculum Committee Approval: 4-29-14
CUYAMACA COLLEGE
COURSE OUTLINE OF RECORD
MATHEMATICS 097 – PLANE GEOMETRY
3 hours lecture, 3 units
48-52.5 contact hours
Catalog Description
Introduce essential vocabulary, properties and characteristics of geometric objects and geometric constructions. The concepts of plane
geometry are developed inductively and then deductively. Computer-facilitated instruction offers a dynamic presentation of geometric
concepts. Pass/No Pass only. Non-degree applicable.
Prerequisite
Grade of “Pass” in MATH 090 or equivalent
Entrance Skills
Without the following skills, competencies and/or knowledge, students entering this course will be highly unlikely to succeed:
1) Using basic operations over the Rational Numbers.
2) Evaluate exponents, square roots and cube roots of Whole Numbers.
3) Solving basic calculations involving geometric measurement and formulas.
4) Relationships between decimals, fractions and percents and their application in problems involving proportions.
5) Using technology in calculating and checking the reasonableness of a solution through estimation.
6) Solving linear equations with one of two variables, word problems involving linear equations, systems of linear equations in two
variables, and simple quadratic equations.
7) Graphing points and lines.
8) Interpreting numeric, analytic and graphical data associated with the Slope-Intercept Form of the equation of a line.
Course Content
1) Essential vocabulary, properties and characteristics related to geometric objects: lines, planes, circles, polygons, etc.
2) Properties and characteristics of geometric objects.
3) Geometric constructions.
4) Inductively develop conjectures about geometric objects and relationships between them.
5) Deductively justify conjectures which include congruence and similarity.
6) Integrate algebraic applications related to perimeter, area, surface area, volume and the Pythagorean Theorem.
Course Objectives
Students will be able to:
1) Identify basic plane geometric figures from an accurate visual representation and/or from their properties.
2) Demonstrate an accurate knowledge of basic vocabulary as it relates to plane geometry.
3) Use techniques established in class to compute accurate measurements of both line segments and angles.
4) Identify the properties of and describe the relationships between plane geometric figures.
5) Use techniques established in class to compute perimeters and areas of basic plane geometric figures.
6) Determine missing sides and/or angles of right triangles using special properties of right triangles, basic right triangle trigonometric
ratios, and the Pythagorean Theorem.
7) Apply the properties of similarity to solve a variety of application problems and to discriminate between similar and dissimilar
geometric figures.
8) Write justifications for conjectures or theorems related to geometric properties or relationships using both inductive and deductive
reasoning.
9) Investigate geometric relationships; formulate conjectures about geometric relationships; collect, analyze, and interpret data related
to geometric figures.
10) Perform compass and straight edge constructions which include copying geometric figures, bisecting angles, locating various
important points related to triangles.
Method of Evaluation
A grading system will be established by the instructor and implemented uniformly. Grades will be based on demonstrated proficiency in
subject matter determined by multiple measurements for evaluation, one of which must be essay exams, skills demonstration or, where
appropriate, the symbol system.
1) Independent construction activities which measure the student’s ability to produce accurate geometric constructions using only a
straight edge and compass.
2) Independent measurement activities which demonstrate the student’s ability to produce accurate measurement of plane geometric
figures using a protractor and ruler.
3) Homework assignments in which students apply geometric principles, accurately identify parts and properties of geometric shapes,
hypothesize and test conjectures about geometric shapes and their relationships to other geometric shapes, solve geometric
problems, and use inductive and deductive reasoning to justify conjectures and theorems.
4) Quizzes and exams (including a comprehensive in-class final exam) which measure the student’s ability to utilize the properties and
vocabulary of plane geometric figures, solve geometry problems which include the use of similarity, produce accurate constructions
using only a straight edge and compass, justify conjectures and/or theorems both deductively and inductively, and use the
properties of right triangles, including trigonometric ratios and the Pythagorean Theorem to analyze right triangles.
MATH 097
5)
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Computer lab and/or calculator-based activities which demonstrate the student’s ability to formulate and test conjectures about
geometric shapes and to investigate and explore relationships between geometric shapes.
Special Materials Required of Student
1) Calculator
2) Straight Edge
3) Compass
4) Protractor
Minimum Instructional Facilities
1) Smart classroom with writing board covering 3 walls
2) Basic skills math lab with 42 computers, writing board, overhead projector/screen, Geometer’s Sketchpad software
Method of Instruction
1) Lecture and discussion
2) Teamwork
3) Computer-facilitated instruction
Out-of-Class Assignments
1) Problem sets
2) Exploratory activities and/or projects
3) Reading and/or writing assignments
Texts and References
1) Required (representative examples):
a. Almy, K. Geometry: A Toolkit for Success. 2nd edition. Pearson, 2013.
a. Bass, A. Geometry, Fundamental Concepts and Applications. Pearson, 2008.
2) Supplemental: None
Exit Skills
Students having successfully completed this course exit with the following skills, competencies and/or knowledge:
1) Essential vocabulary related to geometric objects
2) Properties and characteristics of geometric objects
3) Geometric constructions
a. Copying segments and angles
b. Segment and angle bisectors
c. Perpendicular and parallel lines
d. Congruent figures
4) Mathematical reasoning
a. Using inductive reasoning to formulate conjectures about relationships between geometric objects
b. Using deductive reasoning to justify geometric relationships
c. Using congruence and similarity
5) Applying formulas to evaluate perimeter, area, surface area and volume of geometric objects
Student Learning Outcomes
Upon successful completion of this course, students will be able to:
1) Identify basic plane geometric figures from an accurate visual representation and/or from their properties.
2) Demonstrate an accurate knowledge of basic vocabulary as it relates to plane geometry.
3) Use techniques established in class to compute accurate measurements of both line segments and angles.
4) Identify the properties of and describe the relationships between plane geometric figures.
5) Use techniques established in class to compute perimeters and areas of basic plane geometric figures.
6) Determine missing sides and/or angles of right triangles using special properties of right triangles, basic right triangle trigonometric
ratios, and the Pythagorean Theorem.
7) Apply the properties of similarity to solve a variety of application problems and to discriminate between similar and dissimilar
geometric figures.
8) Write justifications for conjectures or theorems related to geometric properties or relationships using both inductive and deductive
reasoning.
9) Investigate geometric relationships; formulate conjectures about geometric relationships; collect, analyze, and interpret data related
to geometric figures.
10) Perform compass and straight edge constructions which include copying geometric figures, bisecting angles, locating various
important points related to triangles.