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

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

Corequisite
ENGL 0307 

Required Materials

Textbook:  Billstein, Libeskind, Lott; A Problem Solving Approach to Math for Elementary Teachers, 11th ed.; Pearson
Required: Students must buy an access code to MyMathLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyMathLab access at www.mymathlab.com; hard copies of access codes available with ISBN: 9780558357603
Hardbound text (optional), ISBN: 0321756665
Hardbound text + free MyMathLab access, ISBN: 032182802X

 

Calculator:
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 PDA’s can be used as calculators.  Calculators may be cleared before tests.
 

Textbook Sections
 

Chapter 9. Probability

9.1 How Probabilities are Determined

9.2 Multistage experiments with tree Diagrams and Geometric Probabilities

9.4 Odds, Conditional Probability, and Expected Value

9.5 Using Permutations and Combinations in Probability

Chapter 10. Data Analysis/statistics: An Introduction

10.1 Designing Experiments/Collecting Data

10.2 Displaying Data: Part I

10.3 Displaying Data: Part II

10.4 Measures of Central Tendency and Variation.  (SkipVariation and Standard Deviation.)

10.5 Abuses of Statistics

Chapter 11. Introductory Geometry

11.1 Basic Notions

11.2 Linear Measure

11.3 Curves, Polygons, and Symmetry

11.4 More about Angles

Chapter 12. Congruence and Similarity with Constructions

12.1 Congruence through Constructions

12.2 Additional Congruence Properties

12.3 Additional Constructions

12.4 Similar Triangles and Other Similar Figures

Chapter 13. Congruence and Similarity with Transformations

13.1 Translations and Rotations

13.2 Reflections and Glide Rotations

13.4 Tessellations of the Plane

Chapter 14. Area, Pythagorean Theorem, and Volume

14.1 Areas of Polygons and Circles

14.2 The Pythagorean Theorem  (Skip Distance Formula, and Equation of a Circle)

14.3 Geometry in Three Dimensions

14.4 Surface Areas

14.5 Volume, Mass and Temperature

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