MTEL Middle School Mathematics 47 Teacher Certification Test Prep Study Guide, 2nd Edition (XAM MTEL)

Table of Contents......Page 5
Study Tips......Page 7
Testing Tips......Page 10
Competency 0001 Understand the structure of numeration systems and multiple representations of numbers......Page 11
Competency 0002 Understand principles and operations related to integers, fractions, decimals, percents, ratios, and proportions.......Page 22
Competency 0003 Understand and solve problems involving integers, fractions, decimals, percents, ratios, and proportions.......Page 34
Competency 0004 Understand the properties of real numbers and the real number system......Page 43
Competency 0005 Understand and use patterns to model and solve problems.......Page 63
Competency 0006 Understand how to manipulate and simplify algebraic expressions and translate problems into algebraic notation.......Page 72
Competency 0007 Understand properties of functions and relations......Page 93
Competency 0008 Understand properties and applications of linear relations and functions......Page 111
Competency 0009 Understand properties and applications of quadratic relations and functions.......Page 134
Competency 0010 Understand properties and applications of exponential, polynomial, rational, and absolute value functions and relations.......Page 148
Competency 0011 Understand principles, concepts, and procedures related to measurement.......Page 160
Competency 0012 Understand the principles of Euclidean geometry and use them to prove theorems.......Page 174
Competency 0013 Apply Euclidean geometry to analyze the properties of two-dimensional figures and to solve problems.......Page 200
Competency 0014 Solve problems involving three-dimensional shapes......Page 226
Competency 0015 Understand the principles and properties of coordinate and transformational geometry.......Page 238
Competency 0016 Understand descriptive statistics and the methods used in collecting, organizing, reporting, and analyzing data.......Page 257
Competency 0017 Understand the fundamental principles of probability......Page 283
Competency 0018 Understand the properties of trigonometric functions and identities.......Page 301
Competency 0019 Understand the conceptual basis of calculus.......Page 327
Competency 0020 Understand the principles of discrete/finite mathematics......Page 348
Competency 0021 Prepare an organized, developed analysis on a topic related to one or more of the following: number sense and operations; patterns, relations, and algebra; geometry and measurement; data analysis, statistics, and probability; and trigonometry, calculus, and discrete mathematics.......Page 364
Answer Key to Practice Problems......Page 381
Essential Tips for Every Math Teacher......Page 383
WEB LINKS......Page 392
Sample Test......Page 396
Answer Key......Page 428
Rigor Table......Page 429
Rationales with Sample Questions......Page 431