Anne Arundel Community College

MAT 221: Fundamental Concepts of Math 1



CATALOG DESCRIPTION:

Primarily for students in the elementary education and early childhood education programs. Topics include decimal and non-decimal numeral systems, mental computations, estimation, set theory, functions, algorithms and their historical development, logic, and number theory. Special emphasis is given throughout the course to problem solving techniques. Computers and/or calculators are used to solve mathematical problems.

Prerequisite: Achieving an appropriate score on the mathematics part of the ACT or SAT, or completion of MAT 012 with a grade of at least C or scoring at an appropriate level on the Mathematics Placement Test.

Note: Although MAT 221 and MAT 222 can be taken in either order, the sequential order is recommended.

LEARNING OBJECTIVES:

Upon completion of this course, the student will be able to:
  1. Solve a variety of problems using Polya's problem solving techniques.
  2. Explain the steps of common arithmetic algorithms.
  3. Compute in non-decimal number systems.
  4. Perform mental calculations and estimations.
  5. Use a calculator or computer to help solve mathematical problems.
  6. State examples and proofs from number theory.
  7. Apply the rules of logic to mathematical and other problems.
  8. Use mathematical symbols and terminology correctly.

COURSE OUTLINE:

Foundations for Learning Mathematics:
  • Getting Comfortable with Mathematics
  • Problem Solving
  • Patterns
  • Representation
  • Reasoning and Proof
  • Communication
  • Connections

Fundamental Concepts:
  • Sets
  • Algebraic Thinking
  • Numeration

The Four Fundamental Operations in Arithmetic:
  • Understanding Addition and Subtraction
  • Understanding Multiplication and Division
  • Mental Arithmetic and Estimation

Number Theory:
  • Divisibility and Related Concepts
  • Prime and Composite Numbers
  • Greatest Common Factor and Least Common Multiple

Extending the Number System:
  • Integers
  • Fractions and Rational Numbers
  • Decimals, Exponents, and Real Numbers
  • Understanding Operations with Fractions

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