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Transformations of Absolute Value Functions

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.

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Using Theoretical and Experimental Probability to Make Predictions

Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.

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Using Multiplication by a Constant Factor

Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.

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Generating Different Representations of Relationships

Given problems that include data, the student will generate different representations, such as a table, graph, equation, or verbal description.

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Predicting, Finding, and Justifying Data from a Table

Given data in table form, the student will use the data table to interpret solutions to problems.

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Predicting, Finding, and Justifying Data from a Graph

Given data in the form of a graph, the student will use the graph to interpret solutions to problems.

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Determining Slopes from Equations, Graphs, and Tables

Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.

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Predicting, Finding, and Justifying Data from Verbal Descriptions

Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.

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Domain and Range: Graphs

Given a function in graph form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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Domain and Range: Function Notation

Given a function in function notation form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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Domain and Range: Verbal Description

The student will be able to identify and determine reasonable values for the domain and range from any given verbal description.

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Domain and Range: Contextual Situations

The student will be able to identify and determine reasonable values for the domain and range from any given contextual situation.

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Modeling Data with Linear Functions

Given a scatterplot where a linear function is the best fit, the student will interpret the slope and intercepts, determine an equation using two data points, identify the conditions under which the function is valid, and use the linear model to predict data points.

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Formulating Systems of Inequalities

Given a contextual situation, the student will formulate a system of two linear inequalities with two unknowns to model the situation.

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Solving Systems of Equations Using Substitution

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of substitution.

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Solving Systems of Equations Using Elimination

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of elimination.

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Solving Systems of Equations with Three Variables

Given a system of three linear equations, the student will solve the system with a unique solution.

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Solving Systems of Equations Using Matrices

Given a system of up to three linear equations, the student will solve the system using matrices with technology.

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Introducing Conic Sections

Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.

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Graphing Conic Sections: Ellipses

Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.