MATH 1280  Mathematics for Education 1 Credit Hours: 4.00 Prerequisites: MATH 1000 with grade C or better; or an equivalent college course; or an acceptable score on a placement or prerequisite exam
(formerly MATH 1260)
MATH 1280 is the first course in a two‑course sequence for elementary education students and includes technology; sets; relations; functions; logic; mathematical systems; systems of numeration; natural numbers, integers, and rational and real numbers; prime numbers; greatest common factor; and least common multiple.
Billable Contact Hours: 4
Search for Sections OUTCOMES AND OBJECTIVES Outcome 1: Upon completion of this course, the student will be able to demonstrate working knowledge of problemsolving strategies and mathematical relationships.Objectives:  Demonstrate knowledge of mathematical relationships.
 Use various problemsolving strategies.
Outcome 2: Upon completion of this course, the student will be able to demonstrate working knowledge of sets. Objectives:  Use the vocabulary and symbols of language sets.
 Demonstrate knowledge of union, intersection, and complements.
 Use the Cartesian product.
 Use Venn diagrams as a problemsolving tool.
Outcome 3: Upon completion of this course, the student will be able to demonstrate working knowledge of logic. Objectives:  Use truth tables.
 Use Euler circles.
 Use the converse of a statement.
 Use the vocabulary of logic inductive and deductive reasoning.
 Use logic, inductive and deductive reasoning to problem solve.
Outcome 4: Upon completion of this course, the student will be able to demonstrate working knowledge of numerations systems. Objectives:  Demonstrate knowledge of historic numeration systems.
 Use numbers in decimal and nondecimal bases.
 Explain the uses of the various types of calculations as problemsolving tools.
 Explain the uses of the various types of calculators.
 Use scientific calculator as a problemsolving tool.
Outcome 5: Upon completion of this course, the student will be able to demonstrate working knowledge of number theory Objectives:  Use the vocabulary of number theory.
 Use number theory as a problemsolving tool.
Outcome 6: Upon completion of this course, the student will be able to demonstrate working knowledge of extensions of the number system. Objectives:  Demonstrate a working knowledge of operations with integers, rational numbers and real numbers
 Represent fractions, decimals, and fractional operations pictorially.
 Use ratio, percent, and scientific notation.
 Use real numbers to problem solve.
COMMON DEGREE OUTCOMES (CDO) • Communication: The graduate can communicate effectively for the intended purpose and audience. • Critical Thinking: The graduate can make informed decisions after analyzing information or evidence related to the issue. • Global Literacy: The graduate can analyze human behavior or experiences through cultural, social, political, or economic perspectives. • Information Literacy: The graduate can responsibly use information gathered from a variety of formats in order to complete a task. • Quantitative Reasoning: The graduate can apply quantitative methods or evidence to solve problems or make judgments. • Scientific Literacy: The graduate can produce or interpret scientific information presented in a variety of formats.
CDO marked YES apply to this course: Critical Thinking: YES Quantitative Reasoning: YES COURSE CONTENT OUTLINE  Problem Solving
 An introduction to problem solving
 Problem solving strategies
 Practice using problemsolving strategies
 An introduction to sets
 Vocabulary, set notation, and symbols
 Set union, intersection, and complements
 The Cartesian product
 Venn diagrams
 Problems solving using sets
 Relations and functions
 Is a set of ordered pairs a function?
 Various methods of expressing a function
 Types of functions
 Linear functions
 Discrete and continuous functions
 Breakeven points
 Other types of functions
 Problem solving using functions
 An introduction to logic
 Truth tables
 Euler circles
 The converse of a statement
 Deductive and inductive reasoning
 Problem solving using logic
 Numeration Systems
 Numeration systems and place value
 Historic numeration systems
 Base ten
 Bases other than ten
 Regrouping
 Expanded base ten notation
 Pictorial representation of base ten numbers
 Addition and subtraction
 Multiplication and division
 Estimation and rounding
 Technology
 Various types of calculators
 Serial Logic
 Scientific calculators
 Graphic calculators
 Symbolic logic calculators
 Problem solving using whole numbers
 An Introduction to Number Theory
 Tests for divisibility in base ten
 Prime and composite numbers
 Highest common factor and lowest common multiple
 Problem solving using number theory
 Extensions of the Number System
 Operations with integers, rational numbers, and real numbers
 Pictorial representation of fractions and decimals
 Pictorial representation of fractional operations
 Ratio, percent, and scientific notation
 Problem solving using real numbers
Primary Faculty Oaks, Jonathan Secondary Faculty Associate Dean McMillen, Lisa Dean Pritchett, Marie
Official Course Syllabus  Macomb Community College, 14500 E 12 Mile Road, Warren, MI 48088
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