GACE Middle Grades Mathematics 013 Teacher Certification Test Prep Study Guide (XAMonline Teacher Certification Study Guides)

Table of Contents......Page 4
Study Tips......Page 10
Testing Tips......Page 13
COMPETENCY 1.0 UNDERSTAND THE STRUCTURE OF THE BASE TEN NUMERATION SYSTEM AND NUMBER THEORY......Page 14
COMPETENCY 2.0 UNDERSTAND DIFFERENT REPRESENTATIONS OF REAL NUMBERS......Page 20
COMPETENCY 3.0 UNDERSTAND OPERATIONS ON REAL NUMBERS......Page 33
COMPETENCY 4.0 UNDERSTAND THE PRINCIPLES AND APPLICATIONS OF MEASUREMENT......Page 40
COMPETENCY 5.0 UNDERSTAND THE PRINCIPLES AND APPLICATIONS OF EUCLIDEAN GEOMETRY......Page 60
COMPETENCY 6.0 UNDERSTAND COORDINATE AND TRANSFORMATIONAL GEOMETRY......Page 80
COMPETENCY 7.0 UNDERSTAND PATTERNS, RELATIONS, AND FUNCTIONS......Page 91
COMPETENCY 8.0 UNDERSTAND THE PROPERTIES AND TECHNIQUES OF ALGEBRAIC OPERATIONS......Page 108
COMPETENCY 9.0 UNDERSTAND LINEAR FUNCTIONS AND THEIR APPLICATIONS......Page 118
COMPETENCY 10.0 UNDERSTAND THE PROCESS OF COLLECTING, ORGANIZING, DESCRIBING AND INTERPRETING DATA......Page 141
COMPETENCY 11.0 UNDERSTAND THE THEORY AND APPLICATIONS OF PROBABILITY......Page 159
COMPETENCY 12.0 UNDERSTAND HOW TO USE A VARIETY OF REPRESENTATIONS TO COMMUNICATE MATHEMATICAL IDEAS AND CONCEPTS AND CONNECTIONS AMONG THEM......Page 176
COMPETENCY 13.0 UNDERSTAND MATHEMATICAL REASONING, PROOF, AND PROBLEM-SOLVING STRATEGIES IN MATHEMATICS AND OTHER CONTEXTS......Page 186
ESSENTIAL TIPS FOR EVERY MATH TEACHER......Page 198
WEB LINKS......Page 206
Sample Test 1......Page 210
Answer Key......Page 225
Rigor Table......Page 226
Rationales for Sample Test 1......Page 227
Sample Test II......Page 260
Sample Test II - Answer Key......Page 275
Sample Test II - Rigor Table......Page 276
Rationales for Sample Test II......Page 277