ICTS Mathematics 115 Teacher Certification, 2nd Edition (XAM ICTS)

Table of Contents......Page 5
Study Tips......Page 7
Testing Tips......Page 10
Competency 01 Understand how to communicate mathematical content and concepts, and develop and utilize a variety of problem-solving techniques.......Page 11
Competency 02 Understand how to apply appropriate reasoning techniques to concepts, procedures, and conjectures,and make connections with and among the various branches of mathematics and other disciplines.......Page 13
Competency 03 Understand how to select, integrate, and use appropriate technologies......Page 14
Competency 04 Understand the concepts of number, number theory, and numeration systems.......Page 15
Competency 05 Understand properties of the real and complex number systems as they apply to algorithms of operations.......Page 19
Comeptency 06 Understand Customary, metric and nonstandard measurement.......Page 29
Competency 07 Understand procedures for computing or estimating measures of Multi-dimensional objects.......Page 35
Competency 08 Understand concepts, representations, and relationships of variables and patterns.......Page 37
Competency 09 Understand and apply concepts and representations of linear relations and functions.......Page 44
Competency 10 Understand and apply concepts and representations of quadratic relations (including conic sections) and functions.......Page 66
Competency 11 Understand and apply concepts and representations of polynomial, absolute value, radical, and rational functions and inequalities.......Page 70
Competency 12 Understand and apply concepts and representation of exponential, logarithmic, and trigonometric functions.......Page 83
Competency 13 Understand the historical development and applications of calculus.......Page 103
Competency 14 Understand properties of points, lines, planes and space and their relationship to Euclidean and non-Euclidean geometry.......Page 132
Competency 15 Understand properties of two –and three-dimensional shapes.......Page 136
Competency 16 Understand and apply spatial visualization skills.......Page 167
Competency 17 Understand and apply geometric methods to model mathematical concepts and solve real-world problems.......Page 174
Competency 18 Understand counting techniques and the theory of probability.......Page 183
Competency 19 Understanding the process of posing questions and collecting, organizing, and representing data to answer those questions.......Page 186
Competency 20 Understand the process of analyzing and interpreting data to make predictions.......Page 194
CURRICULUM AND INSTRUCTION......Page 196
Answer Key to Practice Problems......Page 202
Sample Test......Page 206
Answer Key......Page 218
Rationales for Sample Questions......Page 219