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MASTER SYLLABUS |
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GEOMETRY/STATISTICS
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Class Hours: 3.0 |
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Credit Hours: 3.0 |
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Laboratory Hours: 0.0 |
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Date Revised: Spring 07 |
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Catalog Course Description: |
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Recommended for prospective
elementary education teachers. Topics include elementary probability and
statistics, basic plane and 3-space geometry, congruence and similarity,
constructions, transformations, area, volume, surface area and measurements. |
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Entry Level Standards: |
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Students
must be able to read at the college level. |
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Prerequisites: |
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High
school algebra I and algebra II and geometry and ACT math score of at least 19;
or DSPM 0850 or equivalent math placement score. |
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Textbook(s) and Other Reference Materials Basic to the Course: |
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Textbook: |
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I. Week/Unit/Topic Basis: |
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Week |
Topic |
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1 |
Introduction,
Statistical Graphs |
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2 |
Analyzing
Data: Measures of Central Tendency, Measures of Variation and
Normal Distributions |
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3 |
Abuses
of Statistics, How Probabilities are Determined, and More on
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4 |
Review,
Test #1 |
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5 |
Recognizing
and Analyzing shapes, and Polygonal Curves |
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6 |
Regular
Polygons, tessellations, three dimensional shapes |
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7 |
Review,
Test #2, begin measurement |
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8 |
Length
and Area |
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9 |
Surface
Area and Volume |
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10 |
Review,
Test #3 |
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11 |
Transformations |
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12 |
Congruence
and Similarity using transformations |
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13 |
Geometric
Problem Solving using transformations |
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14 |
Review,
Test #4, and Review for Final |
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15 |
Comprehensive
Final Exam |
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II. Course Objectives*: |
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A. |
Analyze
a given set of data and accurately describe the data by interpreting the
significance of the mean, median, mode, and standard deviation. VI. 6 |
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B. |
Use
the basic principles of probability. VI. 1 |
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C. |
Understand
the real life applicability of statistics, probability, and geometry. VI. 3,6 |
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D. |
Gain
experiences in measurement, using metric and standard units. VI. 3, 4 |
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E. |
Master
classifications of 2 and 3 dimensional figures, and know their properties and
relationships. VI. 1, 4,5 |
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F. |
Learn
the relevant parts of geometric forms and their measures. VI. 3, 4 |
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G. |
Understand
the different types of transformations and how we use them every day. VI. 3,
4 |
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*Roman numerals after course objectives reference TBR’s
general education goals. |
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Students will: |
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1. |
Successfully
understand and interpret real world problems. Mathematics Outcome, Transitional Strategies, Active Learning
Strategies |
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2. |
Successfully
use a variety of problem solving strategies, both inductive and deductive rea |
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3. |
Work,
either individually or in a group setting, to solve problems from
different occupational fields. Solutions must be
mathematically correct and be clear and correct in terms of the related
occupational field. An example might include using geometric
concepts to solve a real life problem that relates to the student’s life or
future occupation. Communication Outcome, Mathematics
Outcome, Transitional Strategies,
Active Learning Strategies |
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4.
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Use
calculator and computer technology as problem solving and exploration
tools. Technological Literacy
Outcome, Mathematics Outcome, Active Learning Strategies |
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5. |
Use
a wide variety of mathematical modeling tools, both virtual and physical, as
problem solving and communication tools.
Technological Literacy Outcome,
Active Learning Strategies, Communication Outcome, Mathematics Outcome |
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6. |
Keep a journal of real life math problems that are
encountered. Communication Outcome, Act Active Learning
Strategies, Mathematics Outcome |
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*Strategies and outcomes listed after
instructional processes reference TBR’s goals for strengthening
general education knowledge and skills, connecting coursework to experiences
beyond the classroom, and encouraging students to take active and responsible
roles in the educational process. |
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IV. Expectations for Student Performance*: |
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Upon successful completion of this course, the
student should be able to: |
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1. |
Solve for the mean of raw data scores and
frequency distributions. A |
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2. |
Draw a variety of graphs both by hand and on a computer. F |
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3. |
Solve for the median and mode of raw data scores. A |
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4. |
A Solve for the variance and standard deviation of
raw data scores and of frequency |
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5. |
Use calculators and computers as aids in analyzing
data F |
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6. |
Solve basic probability problems. B |
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7. |
Draw probability tree diagrams and see relationships with other diagrams. F |
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8. |
Describe points, curves, and planes. F |
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9. |
Measure line segments and angles. F |
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10. |
Understand definition of all polygons and their classifications. E, F |
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11. |
Understand and use the Pythagorean Theorem. E, F |
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12. |
Understand what congruence and similarity mean. C |
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13. |
Discover and apply definition and properties of
parallel lines and transversals. C, F |
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14. |
Find the perimeter and area of parallelograms, triangles, trapezoids, regular polygons, and composite figures. E, F |
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15. |
Use Numerical relationships in similar figures, ratios and proportions, and triangles. E, F |
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16. |
Understand definitions of circles and three dimensional geometry. F |
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17. |
Find the surface area and volume of prisms, pyramids, cylinders, cones, and composite figures. F |
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18. |
Understand the different types of transformations and symmetries. F |
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19. |
Communicate about different methods of solving problems. F |
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20. |
Consider data from other areas and subjects F |
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21. |
See connections between various geometrical ideas
and areas such as science, art, and landscaping F |
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22. |
Utilize manipulatives to model math algorithms and problem solving. F |
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*Letters after performance expectations reference
the course objectives listed above. |
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V. Evaluation: |
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A. Testing Procedures: |
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Students are evaluated primarily on the basis of |
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B. Laboratory Expectations: |
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Students will be expected to keep a portfolio of all
laboratory experiments and projects. The portfolio will serve as a collateral
file of future teaching references. |
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C. Field Work: |
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N/A |
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D. Other Evaluation Methods: |
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Excessive absences ma |
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E. Grading Scale: |
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93 – 100 A
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VI. Policies: |
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A. Attendance Policy: |
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B. Academic Dishonesty: |
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Individual instructors must distribute their policies on academic dishonesty and calculator use during the first week of classes. In addition to other possible disciplinary
sanctions that may be imposed as a result of academic misconduct, the
instructor has the authority to assign either (1) an F or a zero for the
assignment or (2) an F for the course |
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C.
Accommodations for Disabilities: |
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If you need accommodations
because of a disability, if you have emergency medical information to share,
or if you need special arrangements in case the building must be evacuated, please
inform the instructor immediately. Please see the instructor privately after
class or in his/her office. Students must present a current accommodation
plan from a staff member in Services for Students with Disabilities (SSWD) in
order to receive accommodations in this course. Services for Students with
Disabilities may be contacted by going to Goins 127
or 131 or by phone: |
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Posted: March 15, 2007