Download Math 0470 - College of DuPage

College of DuPage
FY Fall/17
ACTIVE COURSE FILE
Curricular Area:
Mathematics
Course Number: 0470
Course Title: Elementary Plane Geometry
Semester Credit Hours: 3
Lecture Hours: 3
Lab Hours: 0 Clinical Hours: 0
Changes from the present course must be accompanied by a yellow Course
Revision or Deletion Form.
Course description to appear in catalog:
Points and lines in the plane, angles, triangles, quadrilaterals, polygonal
regions, circles, and their relationships.
Prerequisite:
Math 0481 (or college equivalent) with a grade of C or better or a qualifying score on
the mathematics placement test
A.
General Course Objectives
Upon successful completion of this course students should be able to
do the following:
1. Use geometric notations to name and identify lines, segments
and rays
2. Determine whether points are collinear or noncollinear
3. Identify intersecting, parallel, and skew lines
4. Identify and name planes that are determined by points and/or
lines
5. Identify intersecting and parallel planes
6. Name the geometric forms that result when various sets of lines
and planes intersect in space
7. Define an angle and use the related terms: vertex, sides, exterior,
and interior
8. Use appropriate symbols to designate angles
9. Use a protractor to measure angles
10. Find the sum and difference of the measure of two angles
11. Identify and name adjacent, vertical, supplementary, and
complementary angles
12. Classify an angle as acute, right, obtuse, or straight
13. Identify and calculate the related measures of alternate interior
and corresponding angles of a transversal
14. Define a triangle and use symbols to designate the triangles
15. State the conditions under which two triangles will be congruent
16. Apply the conditions for congruence to various geometric
problems
17. Classify triangles as scalene, isosceles, or equilateral, and as
acute, obtuse, or right
18. Solve problems using the property that the sum of the measures
of the angles of a triangle is 180o
19. Identify geometric figures that contain simple and/or closed
curves
20. Determine whether or not a polygon is convex and/or regular
21. Name polygons using the prefixes tri, quad, penta, hexa, octa
and deca
22. Calculate the sum of the measure of the interior angles of any
regular polygon and the measure of the individual interior
angles
23. Name quadrilaterals using the terms: trapezoid, parallelogram,
rhombus, rectangle, and square
24. Calculate the perimeters of general polygons
25. Calculate the perimeter of selected polygons
26. Calculate the areas of the regions enclosed by rectangles,
squares, triangles, parallelograms, and trapezoids
27. Calculate the volume of rectangular solids, right prisms, and
pyramids
28. List the conditions of similarity for polygons
29. Use proportions to solve problems involving similarity
30. Demonstrate selected pairs of triangles that meet conditions of
similarity
31. State and use the Pythagorean Theorem
32. Find the missing dimensions in 30o  60o right triangles and 45o right
triangles, given the length of one side of those triangles
33. Define the terms: chords, diameter, radius, secant, and tangent
34. Solve problems using the relationship between central angles
and arcs of a circle
35. Solve problems using the relationship between inscribed angles
and arcs of a circle
36. Calculate the circumference and area of a circle
37. Calculate the surface area and the volumes of three
dimensional solids
B.
Topical Outline
All topics, other than optional topics (indicated by *), will be covered.
1. Points, lines and planes
a. Collinear and noncollinear points
b. Intersecting, parallel, and skew lines
c. Intersecting and parallel planes
d. Intersection of lines and planes
2. Angles
a. Interior and exterior angles
b. Measure of an angle
c. Adjacent, vertical, supplementary, and complementary angles
d. Acute, right, and straight angles
e. Alternate interior and corresponding angles of a transversal
3. Triangles
a. Parts of a triangle
b. Congruent triangles
c. Scalene, isosceles, equilateral, acute, obtuse, and right triangles
d. Sum of the measures of the angles of a triangle
e. Pythagorean Theorem
4. Polygons
a. Convex and concave polygons
b. Names of polygons
c. Regular polygons
1) Sum of the measures of the interior angles of a regular
polygon
2) Measure of the interior angle of a regular polygon
d. Quadrilaterals
e. Perimeters of polygons
5. Area and volume
a. Area of rectangles, squares, triangles, parallelograms, and
trapezoids
b. Volume of rectangular solids, right prisms, and pyramids
c. Volume of cylinders, cones, and spheres
d. Surface area of solids
6. Similarity and proportionality
7. Circles
a. Chord, diameter, radius, secant, and tangent of a circle
b. Central angle, inscribed angle, and arc of a circle
c. Circumference and area of a circle
8. Construction*
9. Analytic geometry*
10. Introduction to trigonometry*
11. Concept of proof*
C. Methods of Evaluating Students
Students will be evaluated by unit tests and quizzes at appropriate intervals;
homework, projects and a comprehensive final examination, all at the
discretion of the instructor.
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Initiator
Date
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Sponsor
Date
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Division Dean
Date
Textbook for Math 0470
Title:
Elementary Geometry for College Students, 6th edition
Author:
Daniel Alexander and Geralyn Koeberlein
Publisher:
Brooks/Cole - Cengage
Copyright:
2014
The following chapters and sections of the textbook should be covered.
In all sections any questions involving construction and any question involving
proofs are optional.
Chapter 1:
All sections except sections 1.5 and 1.7, which are optional.
In section 1.6 the proofs are optional.
Chapter 2:
Sections 2.1, 2.3 – 2.5. (In section 2.3 the proofs are optional.)
Chapter 3:
All sections
Chapter 4:
All sections
Chapter 5:
All sections
Chapter 6:
All sections
Chapter 7:
All sections
Chapter 8:
All sections
Chapter 9:
All sections; in section 9.4 omit polyhedrons.
Chapter 10:
Sections 10.1, 10.2, and 10.5 are optional.
Chapter 11:
Sections 11.1, 11.2, and 11.3 are optional.
Use of Technology in Math 0470
Calculators are not allowed for use on exams or quizzes in math 0470.
In all Mathematics courses, students with a documented learning disability
that specifically requires a calculator as determined by Health Services, will
be allowed to use a basic calculator for all test/quiz questions where
arithmetic calculations are not the main objective. The specific disability must
be verified with Health Services before the accommodation can be made.