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Course/Grade Levels Units

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Course Code
Content Area
The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the earlier grades.  Students will explore many examples of functions, compare key characteristics of these functions, and translate between graphical, numerical and symbolic representations of them.  They will create and solve equations and inequalities, and systems of equations involving linear and quadratic expressions, extend the laws of exponents to rational exponents and compare/contrast linear and exponential functions.  Students will use regression techniques to describe linear relationships between quantities and use technology as an instructional tool throughout the course as they explore and make sense of problems in real-world context. 

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Unit Description
ALG101Functions and Their Representations
Students will explore and interpret characteristics of functions, using graphs, tables, equations and verbal expressions.  They will identify domain and range from a variety of circumstances, explain the reasons a relation is or is not a function, evaluate functions and understand the limitations of some functions. They will analyze and interpret scatter plot data.
ALG102Solving Linear Equations and Inequalities
Students will be able to create and solve linear equations and inequalities in one variable. They will be able to
explain each step when solving an equation and justify their method as well as their solution, and develop mathematical fluency as they write, interpret and translate between various forms of linear equations and inequalities and use them to solve problems.
Students will use the properties of exponents to simplify expressions involving radicals and rational exponents.
Students will become fluent in simplifying and identifying the parts of expressions. This includes using the order
of operations, simplifying polynomial expressions, and simplifying expressions with exponents. They will become fluent in factoring quadratic expressions.
ALG105Solving Quadratic Equations
Students will be able to create and solve quadratic equations.
ALG106Graphing Functions
Students will graph linear, exponential, quadratic, and absolute value functions. They will explore key features and transformations of these graphs using a graphing calculator. They will be able to display a set of bivariate data
appropriately, describe key features, and relate the information in the context of the problem.
ALG107Systems of Equations and Inequalities
Students will solve systems of equations consisting of linear and quadratic functions using various methods
and solve systems of linear inequalities graphically. They will justify their solving process, recognize the limitations of their process, and interpret the solutions in context of the problem.
ALG108Sequences and Their Related Functions
Students will recognize, create and use arithmetic and geometric sequences and connect them to linear and
exponential models. A graphing calculator should be used throughout this unit.
ALG109Descriptive Statistics and Probability
Students will analyze, compare and interpret graphical displays of data, including two-way frequency tables.