#### AI.1: The student will use expressions and equations to model number relationships.

AI.1.1: Equations and Formulas

AI.1.1.a: Translate word phrases and sentences into expressions and equations and vice versa.

AI.1.1.b: Solve literal equations involving several variables for one variable in terms of the others.

AI.1.1.c: Use the formulas from measurable attributes of geometric models (perimeter, circumference, area and volume), science, and statistics to solve problems within an algebraic context.

AI.1.1.d: Solve two-step and three-step problems using concepts such as rules of exponents, rate, distance, ratio and proportion, and percent.

AI.1.2: Expressions

AI.1.2.a: Simplify and evaluate linear, absolute value, rational and radical expressions.

AI.1.2.b: Simplify polynomials by adding, subtracting or multiplying.

AI.1.2.c: Factor polynomial expressions.

#### AI.2: The student will use relations and functions to model number relationships.

AI.2.1: Relations and Functions

AI.2.1.a: Distinguish between linear and nonlinear data.

AI.2.1.b: Distinguish between relations and functions.

AI.2.1.c: Identify dependent and independent variables, domain and range.

AI.2.1.d: Evaluate a function using tables, equations or graphs.

AI.2.2: Linear Equations and Graphs

AI.2.2.a: Solve linear equations by graphing or using properties of equality.

AI.2.2.b: Recognize the parent graph of the functions y = k, y = x, y = |x|, and predict the effects of transformations on the parent graph.

AI.2.2.c: Slope

AI.2.2.c.I: Calculate the slope of a line using a graph, an equation, two points or a set of data points.

AI.2.2.c.II: Use the slope to differentiate between lines that are parallel, perpendicular, horizontal, or vertical.

AI.2.2.c.III: Interpret the slope and intercepts within the context of everyday life (e.g., telephone charges based on base rate [y-intercept] plus rate per minute [slope]).

AI.2.2.d: Develop the equation of a line and graph linear relationships given the following: slope and y-intercept, slope and one point on the line, two points on the line, x-intercept and y-intercept, a set of data points.

AI.2.2.e: Match appropriate equations to a graph, table, or situation and vice versa.

AI.2.3: Linear Inequalities and Graphs

AI.2.3.a: Solve linear inequalities by graphing or using properties of inequalities.

AI.2.3.b: Match appropriate inequalities (with 1 or 2 variables) to a graph, table, or situation and vice versa.

AI.2.4: Solve a system of linear equations by graphing, substitution or elimination.

AI.2.5: Nonlinear Functions

AI.2.5.a: Match exponential and quadratic functions to a table, graph or situation and vice versa.

AI.2.5.b: Solve quadratic equations by graphing, factoring, or using the quadratic formula.

#### AI.3: The student will use data analysis, probability and statistics to formulate and justify predictions from a set of data.

AI.3.1: Data Analysis

AI.3.1.a: Translate from one representation of data to another and understand that the data can be represented using a variety of tables, graphs, or symbols and that different modes of representation often convey different messages.

AI.3.1.b: Make valid inferences, predictions, and/or arguments based on data from graphs, tables, and charts.

AI.3.1.c: Solve two-step and three-step problems using concepts such as probability and measures of central tendency.

AI.3.2: Collect data involving two variables and display on a scatter plot; interpret results using a linear model/equation and identify whether the model/equation is a line best fit for the data.

Correlation last revised: 5/21/2018

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