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Math 1351 Foundations of Mathematics II Information

LSC-CyFair Math Department

Catalog Description
This is designed specifically for students who seek elementary and middle school teacher certification. Topics include concepts of geometry, probability, and statistics, as well as applications
of the algebraic properties of real numbers to concepts of measurement with an emphasis on problem solving and critical thinking.

Course Learning Outcomes
The student will:
 Explore the geometric attributes of physical objects in order to classify and to form definitions.
 Analyze spatial characteristics such as direction, orientation, and perspective.
 Connect geometric ideas to numbers and measurement.
 Use geometric models to solve problems.
 Explore and understand measurement and estimation.
 Analyze data and statistics.
 Use probability with simple and complex experiments.
 Understand surface area and volume through discovery.
Contact Hour Information
Credit Hours:  3
Lecture Hours:  3
Lab Hours:  0
External Hours:  0
Total Contact Hours:  48

MATH 1314 OR placement by testing;
ENGL 0305 or ENGL 0365 OR higher level course (ENGL 1301), OR placement by testing

ENGL 0307 

Required Materials

Long, DeTemple, Millman; Mathematical Reasoning for Elementary Teachers, 6th ed. with MyMathLab Access;  Addison Wesley, ISBN Numbers:
          Textbook Plus MyMathLab Portal Access:  9781256388791
          Textbook Only:  9780321693129
          MyMathLab Portal Access:  9780558357603

Graphing Calculator required.  TI 83, TI 84 or TI 86 series calculators recommended. 
Calculators capable of symbolic manipulation will not be allowed on tests.  Examples include, but are not limited to, TI 89, TI 92, and Nspire CAS models and HP 48 models. 
Neither cell phones nor PDAs can be used as calculators.  Calculators may be cleared before tests.

Textbook Sections

Chapter 9.  Geometric Figures

9.1  Figures in the Plane

9.2  Curves and Polygons in the Plane

9.3  Figures in Space


Chapter 10.  Measurement: Length, Area and Volume

10.1  The Measurement Process

10.2  Area and Perimeter

10.3  The Pythagorean Theorem

10.4  Volume

10.5  Surface Area


Chapter 11.  Transformations, Symmetries and Tilings

11.1  Rigid Motions and Similarity Transformations (skip Dilations and Similarity Motions)

11.2  Patterns and Symmetries

11.3  Tilings and Escher-like Designs


Chapter 12.  Congruence, Constructions and Similarity

12.1  Congruent Triangles

12.3  Similar Triangles


Chapter 13.  Statistics: The Interpretation of Data

13.1  Organizing and Representing Data

13.2  Measuring the Center and Variation of Data  (skip Standard Variation)


Chapter 14.  Probability

14.1  Experimental Probability

14.2  Principles of Counting

14.3  Permutations and Combinations

14.4  Theoretical Probabiliy

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