MTEL Mathematics 09 Teacher Certification Test Prep Study Guide (XAM MTEL, 2nd Edition)

Table of Contents......Page 5
Study Tips......Page 7
Testing Tips......Page 10
0001 Understand the structure of numeration systems and solve problemsusing integers, fractions, decimals, percents, ratios and proportions......Page 11
0002 Understand the properties of real and complex numbers and the realand complex number systems......Page 17
0003 Understand the principles of number theory.......Page 22
0004 Understand and use patterns to model and solve problems.......Page 27
0005 Understand the properties of functions and relations.......Page 37
0006 Understand the properties and applications of linear relations andfunctions.......Page 44
0007 Understand the properties and applications of linear and abstractalgebra.......Page 60
0008 Understand the properties and applications of quadratic relationsand functions.......Page 80
0009 Understand the properties and applications of polynomial, radical,rational, and absolute value functions and relations.......Page 94
0010 Understand the properties and applications of exponential andlogarithmic functions and relations.......Page 112
0011 Understand the principles, concepts, and procedures related tomeasurements.......Page 116
0012 Understand the axiomatic structure of Euclidean geometry.......Page 124
0013 Prove theorems within the axiomatic structure of Euclideangeometry.......Page 137
0014 Apply Euclidean geometry to solve problems involving two- andthree- dimensional objects.......Page 141
0015 Understand the principles and properties of coordinate andtransformational geometry and characteristics of non-Euclideangeometries.......Page 163
0016 Understand the principles and concepts of descriptive statistics andtheir application to the problem-solving process.......Page 178
0017 Understand the methods used in collecting and analyzing data.......Page 182
0018 Understand the fundamental principles of probability.......Page 185
0019 Understand the properties of trigonometric functions and identities.......Page 191
0020 Understand the concepts of limit, continuity, and rate of change.......Page 207
0021 Understand differential calculus.......Page 213
0022 Understand integral calculus.......Page 237
0023 Understand the principles of discrete/finite mathematics.......Page 249
0024 Prepare an organized, developed analysis emphasizing problemsolving, communicating, reasoning, making connections, and/orusing representations on topics related to one or more of thefollowing: number sense and operations; patterns, relations, andalgebra; geometry and measurement; data analysis, statistics, andprobability; trigonometry, calculus, and discrete mathematics.......Page 256
TEACHING METHODS......Page 258
ANSWER KEY TO PRACTICE PROBLEMS......Page 268
SAMPLE TEST......Page 277
Answer Key......Page 295
Rigor Analysis Table......Page 296
Rationales with Sample Questions......Page 299