El Camino College - Division of
Mathematical Sciences
Math 116
Geometry and
Measurement for Prospective Elementary
School Teachers
4 units; 4 hours lecture
Grading
Method: Letter
Associate Degree Credit ---
Transfers to CSU
Transfers to UC is
pending
Prerequisite: Mathematics 70 with a
minimum grade of C or equivalent.
Catalog Description:
This course is
designed for preservice elementary school teachers and emphasizes
problem solving with particular focus on constructing tables and
recognizing patterns. Topics include informal geometry, congruence
similarity, constructions, transformations, tessellations, and
measurement involving both English and metric units in one, two, and
three dimensions. Problem solving will include the use of computer
software and hands-on activities.
Course
Objectives and Methods
of Evaluation:
- Course objectives (list
the major
objectives stated as student outcomes in behaviorally measurable
terms.)
- Explain
and justify
the following concepts:
- Determination of
perimeter, area,
surface area, and volume in English and metric measurements
- Construction of
geometric figures
using straight edge and compass
- Construction of designs
using
transformations
- Solution of problems in
analytic
geometry involving lines and slopes
- Analysis and
recognition of attributes
of plane and solid geometric figures
- Solution of problems
involving
congruence and similarity of geometric figures
- Creation of
tessellations in
two-dimensional and three-dimensional space
- Investigation of
various aspects of
non-Euclidean geometry
- Construction of tables
- Use of visualization,
pattern
recognition, data tables, spatial reasoning, and geometric modeling to
solve a variety of application problems
- Solve problems in
geometry using
computer software
- Methods of Evaluation -
Associate
Degree Credit Course
- Substantial writing
assignments are
inappropriate for this degree applicable course because:
- The course is primarily
computational
in nature
- The course primarily
involves skill
demonstrations or problem solving.
- Computational or
non-computational
problem-solving demonstrations, including:
- Exam
- Quizzes
- Homework problems
Return
to the
top of the page.
Outline of Subject
Matter
|
Approximate
Time
|
Major
Topic
|
|
20
hours
|
I. Geometry
of Lines
- Basic terms, concepts
and
relationships of points, lines, and planes
- Types and measurement
of angles
- Linear measure: length,
perimeter, and
circumference
- Conversions of units
between English
and metric systems
- Construction of angles,
parallel
lines, perpendicular lines, and angle bisectors
- Problem solving and
real world
applications
- Applications using data
tables,
pattern recognition, and computer software
|
|
28
hours
|
II. Geometry of
Plane Figures
- Curves and polygons:
parts,
properties, and classifications (emphasizing triangles and
quadrilaterals)
- Area of rectangle,
triangle,
parallelogram, trapezoid, regular polygon, and circle
- Constructions of
inscribed regular
n-gons (n = 3, 4, 6, 8, 12)
- Similarity and
congruent figures:
definitions and attributes
- Indirect measurement:
making
connections between slope and tangent ratio
- Transformations:
translations,
rotations, reflections, and symmetry
- Tessellation of
geometric figures in
the plane
- The Pythagorean Theorem
and real world
applications
- Applications using data
tables,
pattern recognition, and computer software
|
|
16
hours
|
III. Geometry of
Solids
- Definition and
attributes of polyhedra
(Euler's formula), prisms, pyramids, cones, cylinders, and spheres
- Three dimensional
representation in
two and three dimensions: isometric and orthogonal drawings
- Measurement: mass,
capacity, surface
area, and volume
- Tesselations of the
surface of a sphere
- Investigation of
various aspects of
non-Euclidean geometry
- Applications using data
tables,
pattern recognition, and computer software
|
|
8
hours
|
Examinations
|
|
Total:
|
72
Hours
|
Planned Instructional Activities:
Lecture,
discussion,
individual and group work
Entrance
Skills and Knowledge:
List the required skills
and/or knowledge without which a student would be highly unlikely to receive a grade of A, B,
C, or Credit (or for Health and Safety, would endanger self or others) in the
Target Course.
- Solve problems using the Pythagorean Theorem
- Knowledge of proofs of the Pythagorean
Theorem
- Recognize the properties of the real number
system
- Use various strategies such as constructing
a table, using
indirect reasoning, and looking for a pattern to solve application
problems
Source
of information: Course Outline of Record dated November, 2001
Last Updated On: 4/20/06