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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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Interpreting Scatterplots

Given scatterplots that represent problem situations, the student will determine if the data has strong vs weak correlation as well as positive, negative, or no correlation.

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Making Predictions and Critical Judgments (Table/Verbal)

Given verbal descriptions and tables that represent problem situations, the student will make predictions for real-world problems.

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Collecting Data and Making Predictions

Given an experimental situation, the student will write linear functions that provide a reasonable fit to data to estimate the solutions and make predictions.

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Writing Expressions to Model Patterns (Table/Pictorial → Symbolic)

Given a pictorial or tabular representation of a pattern and the value of several of their terms, the student will write a formula for the nth term of a sequences.

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Analyzing the Effects of the Changes in m and b on the Graph of y = mx + b

Given algebraic, graphical, or verbal representations of linear functions, the student will determine the effects on the graph of the parent function *f(x) = x*.

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Writing Equations of Lines

Given two points, the slope and a point, or the slope and the y-intercept, the student will write linear equations in two variables.

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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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Predicting, Finding, and Justifying Data from an Equation

Given data in the form of an equation, the student will use the equation to interpret solutions to problems.

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Determining the Domain and Range for Linear Functions

Given a real-world situation that can be modeled by a linear function or a graph of a linear function, the student will determine and represent the reasonable domain and range of the linear function using inequalities.

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Investigating Methods for Solving Linear Equations and Inequalities

Given linear equations and inequalities, the student will investigate methods for solving the equations or inequalities.

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Quadratics: Connecting Roots, Zeros, and x-Intercepts

Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (*x*-intercepts) of the graph of the function.

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Applying the Laws of Exponents: Verbal/Symbolic

Given verbal and symbolic descriptions of problems involving exponents, the student will simplify the expressions using the laws of exponents.

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Using the Laws of Exponents to Solve Problems

Given problem situations involving exponents, the student will use the laws of exponents to solve the problems.

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Formulating Systems of Equations (Verbal → Symbolic)

Given verbal descriptions of situations involving systems of linear equations the student will analyze the situations and formulate systems of equations in two unknowns to solve problems.

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Solving Quadratic Equations Using Graphs

Given a quadratic equation, the student will use graphical methods to solve the equation.