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Math 1350 Foundations of Mathematics I Information

LSC-CyFair Math Department

Catalog Description
This is designed specifically for students who seek elementary and middle school teacher certification. Topics include set theory, functions, numerations systems, number theory, emphasis on problem solving and critical thinking.

Course Learning Outcomes
The student will:
• Use models and manipulatives to demonstrate the four basic operations of the rational numbers.
• Demonstrate an understanding of place value through multiple representations including the use of grouping manipulatives, place value manipulatives and abstract representations such as with exponents and different number bases.
• Demonstrate an understanding of the attributes of numeration systems.
• Analyze mathematical situations and solve problems using mathematical heuristics.

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;
College level readiness in reading and writing

Required Materials

Textbook:  Billstein, Libeskind, Lott; A Problem Solving Approach to Math for Elementary Teachers, 12th 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: 9780321199911
Hardbound text (optional), ISBN: 9780321987297
Hardbound text + free MyMathLab access, ISBN: 9780321990594


Graphing calculators may be required for some assignments/assessments at the discretion of the instructor.  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 1. An Introduction to Problem Solving

1.1 Mathematics and Problem Solving (Polya 4 step problem solving process only)

Chapter 2. Introduction to Logic and Sets

2.2 Describing Sets

2.3 Other Set Operations and Their Properties (Cartesian product optional)

Chapter 3. Numeration Systems and Whole Numbers Operations

3.1 Numeration Systems (skip tally numeration system)

3.2 Addition and Subtraction Of Whole Numbers

3.3 Multiplication and Division Of Whole Numbers (introduce Cartesian product from Sect. 2.3)

3.4 Addition and Subtraction Algorithms, Mental Computation and Estimation

3.5 Multiplication and Division Algorithms, Mental Computations and Estimation

Chapter 4. Number Theory

4.1 Divisibility (divisibility rules if time permits)

4.2 Prime and Composite Numbers

4.3 Greatest Common Divisors and Least Common Multiple

Chapter 5. Integers

5.1 Addition and Subtraction of Integers

5.2 Multiplication and Division of Integers

Chapter 6. Rational Numbers and Proportional Reasoning

6.1 The Set of Rational Numbers

6.2 Addition, Subtraction and Estimation with Rational Numbers

6.3 Multiplication, Division, and Estimation with Rational Numbers

6.4 Proportional Reasoning

Chapter 7. Decimals: Rational Numbers and Percents

7.1 Introduction to Finite Decimals

7.2 Operations on Decimals

7.3 Repeating Decimals (if time permits)

7.4 Percents and Interest (computing interest if time permits)

Chapter 8. Real Numbers and Algebraic Reasoning

8.1 Real Numbers (if time permits)
8.4 Functions (if time permits)