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MTH 211 - Fundamentals of Elementary Mathematics 1 |
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Associated Term:
Fall 2023
Learning Objectives: Upon successful completion of this course, the student will be able to: 1. Recognize and apply problem solving strategies to solve routine and non-routine problems. Explain and apply Polya’s 4 step problem solving process. Use Venn Diagrams to solve problems. Use calculators and/or computers while exploring elementary mathematics topics. Reason logically, deductively and inductively, by solving a variety of problems 2. Recognize and apply patterns of numbers, objects or symbols in a variety of ways 3. Recognize and apply strategies to sequences such as arithmetic, geometric, or otherwise 4. Understand and apply the concept of set theory. Recognize the relationships between sets. Understand and apply operations on sets and use set notation correctly. Justify and apply the properties of sets of numbers such as closure, commutative, associative, identity, and distributive 5. Recognize and apply strategies to topics of elementary logic. Recognize statements and non-statements. Recognize and use forms of statements such as conditionals and bi-conditionals. Know and use quantifiers and be able to write negations of statements with quantifiers. Be able to write the converse, inverse and contrapositive of a given implication. Reason logically using direct reasoning, indirect reasoning and transitivity 6. Recognize and apply strategies with numeration systems. Understand the development and attributes of historical systems. Understand the properties of systems in different bases. Recognize and apply the interpretations for the four operations with whole numbers. Use a variety of manipulatives to model concepts and operations. Demonstrate the four operations using a variety of algorithms, models, explanations, and examples. Identify and apply mental math and estimation techniques. Identify the mathematical properties that justify algorithms for whole numbers 7. Recognize and apply strategies with number theory topics. Understand “prime” and “composite” numbers and be able to apply the divisibility rules. Understand and apply the properties of odd and even numbers. Understand and apply the techniques for finding the greatest common divisor and the least common multiple Required Materials: Technical Requirements: |

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