Download Course Outline - Lake Land College

2-3-2015 DATE
Math/Science
REQUIRED COURSE
ELECTIVE COURSE
X
DIVISION
NEW COURSE
REVISION
LAKE LAND COLLEGE
Course Information Form
COURSE NUMBER
SEM CR HRS 3
COURSE PCS #
MAT009
TITLE Geometry
LT HRS 3
LAB HRS
SOE HRS
(Assigned by Administration)
PREREQUISITES:
ECH
3
MAT005 or Placement by Math Assessment
Catalog Description (40 Word Limit):
This course is an introductory course in
plane geometry for students with less than one year of high school geometry.
Topics included, but not limited to, are: lines, angles, proofs, triangles
Pythagorean theorem, circles, various geometrical formulas and coordinate
geometry.
CONTENT
OUTLINE
LECTURE
HOURS
Problem Solving Approaches in Geometry
3
Geometric Shapes and Measurements
5
Perimeter, Area and Volume
8
Reasoning and Triangle Congruence
6
Parallel Lines and Quadrilaterals
8
Similarity
6
Circles and their properties
5
Coordinate Geometry
4
LAB
HOURS
_
_
Total
EVALUATION: Quizzes
Lab Work
Textbook:
Title
Author
X
Exams
45
X
Projects
Oral Pres.
Comp.Final X
Papers
Other
College Geometry: A Problem-Solving Approach with Applications
Musser, Trimpe and Maurer
Publisher
Pearson/Prentice Hall
Volume/Edition
2nd Edition Copyright Date
2008
Major Course Segment
Hours
Problem Solving Approaches
Learning Outcome
At the end of this segment each
Sketch a picture, guess & check, variables
1
student will approach an unknown
Finding patterns & making tables
1
problem utilizing one or many of
Solve a simpler problem
1
the listed approaches.
Geometric Shapes, Line and Angle Measurement
At the end of this segment each
Lines and Angles
1
student will understand state-
Definitions and Postulates
2
ments, postulates, definitions and
Angles, Polygons and Circles
theorems in relation to lines and
Three-dimensional shapes
1
angles. In addition, the student
Dimensions
1
will be able to identify (& measure)
different kinds of angles,
polygons and geometric shapes
and convert dimensions.
Perimeter, Area and Volume
Perimeter and Area Formulas for Circles,
After completing this segment, the
1
student will be able to find the
Triangles and Rectangles
Perimeter and Area Formulas for polygons
perimeters and areas of triangles,
2
quadrilaterals, polygons and circles.
Students will solve right triangles
Pythagorean’s Theorem
using Pythagorean’s theorem.
2
When the students complete this
Surface Area and Volume Formulas for Prisms
3
section, they will be able to compute
and Pyramids, Cones and Cylinders
the surface areas and volumes for
and Spheres
prisms, pyramids, cones, cylinders
and spheres.
Reasoning & Triangle Congruence
At the conclusion of this segment,
Geometric Proofs and Conditional Reasoning
1
create basic formal proofs.
Congruence Conditions for Triangles
3
The student will be able to prove
SAS, ASA, AAS, SSS
Solving problems using congruence
triangles congruent, identify and
2
know properties of different kinds
of triangles and utilize these
properties to solve problems.
Major Course Segment
Hours
Parallel Lines
Learning Outcome
After completing this section, the
Parallel Postulate, Special Angles and Introduction
2
to Indirect Proofs
student will understand parallel
lines and related angles and have
Theorems involving Parallel Lines
2
an understanding of indirect proof.
Measure of Interior and Exterior Angles
Quadrilaterals
The student, after completing
Introduction to Different Quadrilaterals and Their
1
Properties
this section, will be able to identify
and know the different kinds of
Definitions and Properties of Parallelograms,
3
quadrilaterals and their properties.
Rectangles, Squares Rhombi, Trapezoids
Similarity
At the conclusion of this segment, the
Ratio and Proportion
1
Introduction to Similarity, Proportionally of
2
Corresponding Sides & Equal angles
Applications with Similar Polygons
student will understand properties of
similarity pertaining to triangles and
1
polygons. In addition, the student will
be able to solve problems involving
Right Triangle Trigonometric Ratios
2
Circles
trig ratios with right triangles.
On completion of this section, the
Circle properties, related segments & angles
1
student will know about circles and
Arcs, Central Angles, Chords
2
the relationships between the related
Tangents, Secants, Inscribed Angles
2
angles, segments and lines.
Coordinate Geometry
On completion of this segment, a
Introduction to the Rectangular Coordinate System
and Midpoint & Distance Formulas
student will understand the rectangular
1
coordinate system and be able to
graph points and lines. In addition, the
Slopes and Linear Equations
2
student will be familiar with different
forms of equations of lines and be
Equations of Circles
Mat 009 – Geometry
1
able to determine circle equations.
Course Outcomes: At the successful completion of this course, students will be able
to:

Understand and apply basic concepts of lines, segments, rays and angles.

Identify and apply triangle properties in simple proofs

Recognize and apply relationships among the angles created by parallel lines
and transversals. Students should then apply these concepts to polygons.

Apply relationships found in circles between chords, arcs, angles, radii, and
diameters to analyze problems.