NMTA Mathematics 14 Teacher Certification, 2nd Edition ()

Table of Contents......Page 5
Study Tips......Page 7
Testing Tips......Page 10
COMPETENCY 0001 UNDERSTANDS PROBLEM-SOLVING STRATEGIES, CONNECTIONS AMONG DIFFERENT MATHEMATICAL IDEAS, AND THE USE OF MATHEMATICAL MODELING TO SOLVE REALWORLD PROBLEMS.......Page 11
COMPETENCY 0002 UNDERSTANDS PRINCIPLES OF MATHEMATICA LREASONING AND TECHNIQUES FOR COMMUNICATING MATHEMATICAL IDEAS.......Page 18
COMPETENCY 0003 UNDERSTANDS MATHEMATICS AS A HUMAN ENDEAVOR.......Page 24
COMPETENCY 0004 UNDERSTANDS THE APPROPRIATE USE OF TECHNOLOGY IN THE EXPLORATION OF CONCEPTS, SKILLS, AND APPLICATIONS IN ALL AREAS OF MATHEMATICS.......Page 27
COMPETENCY 0005 UNDERSTANDS NUMBER SYSTEMS AND EQUIVALENT WAYS OF REPRESENTING NUMBERS.......Page 33
COMPETENCY 0006 UNDERSTANDS NUMBER THEORY AND OPERATIONS ON NUMBER SYSTEMS, AND EXTENDS THEM TO SYMBOLIC SYSTEMS.......Page 39
COMPETENCY 0007 APPLIES GEOMETRIC PRINCIPLES OF POINTS, LINES, ANGLES, PLANES, CONGRUENCE, AND SIMILARITY TO ANALYZE THE FORMAL CHARACTERISTICS OF EUCLIDEAN GEOMETRY.......Page 54
COMPETENCY 0008 APPLIES GEOMETRIC CONCEPTS AND REASONING AS A PROBLEM-SOLVING STRATEGY.......Page 80
COMPETENCY 0009 UNDERSTANDS COORDINATE, VECTOR, AND TRANSFORMATIONAL GEOMETRY.......Page 88
COMPETENCY 0010 UNDERSTANDS AND USES MEASUREMENT.......Page 102
COMPETENCY 0011 UNDERSTANDS METHODS OF COLLECTING, ORGANIZING, DISPLAYING, DESCRIBING, AND ANALYZING DATA.......Page 108
COMPETENCY 0012 UNDERSTANDS DATA, AND MAKING PREDICTIONS AND INFERENCES BASED ON DATA.......Page 118
COMPETENCY 0013 UNDERSTAND THE THEORY OF PROBABILITY AND PROBABILITY DISTRIBUTIONS.......Page 125
COMPETENCY 0014 UNDERSTANDS AND APPLIES PRINCIPLES OF DISCRETE MATHEMATICS.......Page 132
COMPETENCY 0015 DESCRIBES, ANALYZES, AND GENERALIZES MATHEMATICAL PATTERNS.......Page 138
COMPETENCY 0016 USES VARIABLES AND SYMBOLIC EXPRESSIONS TO DESCRIBE AND ANALYZE PATTERNS OF CHANGE, FUNCTIONS, AND ALGEBRAIC RELATIONSHIPS.......Page 146
COMPETENCY 0017 UNDERSTANDS PROPERTIES AND APPLICATIONS OF LINEAR FUNCTIONS AND SOLVES RELATED EQUATIONS AND INEQUALITIES.......Page 164
COMPETENCY 0018 UNDERSTANDS PROPERTIES AND APPLICATIONS OF QUADRATIC AND HIGHER ORDER POLYNOMIAL FUNCTIONS, AND SOLVES RELATED EQUATIONS AND INEQUALITIES.......Page 183
COMPETENCY 0019 UNDERSTANDS PROPERTIES AND APPLICATIONS OF RATIONAL, RADICAL, EXPONENTIAL, LOGARITHMIC, AND TRIGONOMETRIC FUNCTIONS, AND SOLVES RELATED EQUATIONS AND INEQUALITIES.......Page 204
COMPETENCY 0020 UNDERSTANDS PRINCIPLES AND APPLICATIONS OF DIFFERENTIAL AND INTEGRAL CALCULUS.......Page 217
ANSWER KEY TO PRACTICE PROBLEMS......Page 245
Sample Test......Page 249
Answer Key......Page 262
Rationales with Sample Questions......Page 263