Algebra 2 with Probability Standards
Algebra 2 (A2P) is a course designed for students seeking access to higher levels of mathematics after completing Geometry and Algebra 1. The standards and indicators in A2P are sorted within the strands of Data, Probability, and Statistical Reasoning (DPSR); Measurement, Geometry, and Spatial Reasoning (MGSR); Numerical Reasoning (NR); and Patterns, Algebra, and Functional Reasoning (PAFR). A2P serves to deepen understanding and intuition about a wide variety of functions such as polynomial, rational, radical, exponential, and piecewise. Building on principles learned from Geometry and Algebra 1, the purpose of this course is to graphically investigate and compare functions, analyze rates of change, and determine solutions of “realworld” problems at a higher conceptual level than can be achieved algebraically. In this document, many of the instructional considerations recommend the use of a graphing calculator or a computer algebra system to enable students to visualize mathematics and increase their conceptual understanding. With this said, NCTM’s Catalyzing Change in High School Mathematics states:
Careful consideration needs to be given to when and how technology can be used to shift the focus from learning many individual procedures for algebra to considering multiple equivalent forms of expressions and equations, interpreting the results of manipulations, and making strategic choices about which forms of an expression or equation to use. (p. 47)
In addition to increasing student knowledge of “parent functions,” A2P also includes the study of complex numbers, matrices, and probability. The study of complex numbers introduces students to the complex number system and its impact on solutions of equations. Matrices provide a method for students to organize, store, and mathematically work with large amounts of data. A2P will concentrate on using small data sets. Finally, the study of probability will continue the study of data, probability, and statistical reasoning units that began in Geometry. Finding the likelihood of an event occurring enables students, bombarded with data, to make more informed decisions.
Prerequisite courses: Geometry with Statistics > Algebra 1