Table of Contents......Page 5
Study Tips......Page 8
Testing Tips......Page 11
0001. Understand reasoning processes, including inductive and deductive logic and symbolic logic.......Page 12
0002. Understand the meaning of mathematical concepts and symbols and how to communicate mathematical ideas in writing.......Page 21
0003. Understand mathematical modeling and apply multiple mathematical representations to connect mathematical ideas and solve problems.......Page 29
0004. Understand the principles and properties of the set of complex numbers and its subsets......Page 38
0005. Understand the principles and properties of patterns and algebraic relations.......Page 48
0006. Understand the properties of linear functions and relations......Page 55
0007. Understand the properties of quadratic and higher-order polynomial and relations.......Page 73
0008. Understand the properties rational, radical, and absolute value functions and relations.......Page 87
0009. Understand the properties of exponential and logarithmic functions.......Page 95
0010. Understand principles, properties, and relationships involving trigonometric functions and their associated geometric representations......Page 99
0011. Understand the principles and techniques of trigonometry to model and solve problems......Page 110
0012. Demonstrate an understanding of the fundamental concept of calculus.......Page 128
0013. Apply the principles and techniques of calculus to model and solve problems.......Page 144
0014. Understand and apply measurement principles.......Page 172
0015. Understand the principles and properties of axiomatic (synthetic) geometries.......Page 182
0016. Understand the principles and properties of coordinate geometry.......Page 191
0017. Apply mathematical principles and techniques to model and solve problems involving vector and transformational geometries.......Page 207
0018. Understand the principles, properties, and techniques related to sequence, series, summation, and counting strategies and their applications to problem solving.......Page 218
0019. Understand the principles, properties, and techniques of probability and their applications.......Page 223
0020. Understand the principles, properties, and techniques of data analysis and statistics.......Page 229
0021. Understand how techniques of discrete mathematics (e.g., diagrams, graphs, matrices, propositional statements) are applied in the analysis, and interpretation, communication, and solution of problems.......Page 240
SUBAREA VI βALGEBRA: CONSTRUCTED-RESPONSE ASSIGNMENT......Page 248
CURRICULUM AND INSTRUCTION......Page 249
ANSWER KEY TO PRACTICE PROBLEMS......Page 259
SAMPLE TEST......Page 265
Answer Key......Page 282
Rigor Analysis Table......Page 283
Rationales with Sample Questions......Page 286