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Course Code

MA.MA005/MA006

Content Area

Math

Description

In this course students build on what they have learned about a variety of function families and extend their repertoire of functions to include polynomial, rational and radical functions. Students work closely with the expressions that define these functions, and continue to expand their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. Students see how the visual displays and summary statistics they learned in earlier grades relate to different types of data and to probability distributions. They explore different ways of collecting data and the role that randomness and careful design play in the conclusions that can be drawn.

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3|Math|656|Algebra 2

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Students will graph various types of functions by hand and with technology, determine the domain and range of functions by analyzing the graph and find the inverse of functions (algebraically for linear functions and graphically for all others).

The student will solve and graph quadratic equations using various methods when solutions are real and complex. They will also recognize i2 = -1, a + bi is a complex number, and be able to simplify complex expressions.

Students will perform arithmetic operations (addition, subtraction and multiplication) with polynomials beyond quadratic. They will use synthetic division and factoring to find zeros and understand the relationship between zeros and factors to sketch rough graphs of different polynomial functions.

The student will develop strategies for analyzing data that are collected from the result of an experiment or survey. They will calculate z-scores and find the associated probabilities from a standard normal table.

Students will define and evaluate logarithms, using the properties of logarithms and the change-of-base formula. They will solve and graph exponential and logarithmic functions and use them to model real-world data.