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Essential Elements in Mathematics I
MAT 1153. Essential Elements in Mathematics I. (30) 3 Credit Hours. (TCCN = MATH 1350)
Prerequisite: MAT 1023 or MAT 1073. Numeration systems; properties of the systems of whole numbers, integers, rational numbers, and real numbers; problem solving; logic. May not be applied toward a major in mathematics. (Credit cannot be earned for both MAT 1153 and MAT 1143.) Generally offered: Fall, Spring, Summer. Course Fees: LRS1 $45; MFSM $30; STSI $21.
Date  Section  Topic  Prerequsite Skills  Student Learning Outcome 

Example  Example  Problem Solving Introduction  Example 

Example  Example  Patterns  Example  Recognize and generalize arithmetic, geometric and other numerical sequences 
Example  Example  Sets  Example  Operate on sets using the following: union, intersection, complements, & set difference 
Example  Example  Number Systems, Base 10, 5 and 2  Example 

Example  Example  Base 10, Base 2 & Base 5  Example  Use and compare different base numerical systems 
Example  Example  Whole numbers addition models and properties  Example 

Example  Example  Whole numbers subtraction models and properties  Example 

Example  Example  Addition Algorithms  Example 

Example  Example  Subtraction Algorithms  Example 

Example  Example  Cognitive Guided Instruction  Example 

Example  Example  Whole numbers multiplication models and properties  Example 

Example  Example  Whole numbers division models and properties  Example 

Example  Example  Multiplication Algorithms  Example 

Example  Example  Division Algorithms  Example 

Example  Example  Exponents  Example  Example 
Example  Example  Number Theory  Example  Example 
Example  Example  Divisibility  Example  Example 
Example  Example  Divisibility Tests  Example  Example 
Example  Example  Prime Numbers  Example  Use numbertheory arguments to find whether a number is prime or composite 
Example  Example  LCM & GCD  Example  Example 
Example  Example  Addition and subtraction of integers  Example 

Example  Example  Multiplication and division of integers  Example 

Example  Example  Fractions meaning and models  Example  Example 
Example  Example  Equivalents Fractions  Example  Example 
Example  Example  Addition and subtraction of fractions  Example 

Example  Example  Multiplication and division of fractions  Example 

Example  Example  Real Numbers (Rational vs. Irrational Numbers)  Example  Describe and apply real number concepts such as rational and irrational numbers and their decimal representations 
Example  Example  Models and basic operation with decimals  Example  Work flexibly with decimals and use basic operations to solve problems, compare and order decimal numbers, and find their locations on a number line 
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