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AI.1
Number Sense and Algebraic Operations
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AI.1.1
Equations and Formulas
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AI.1.1.a
Translate word phrases and sentences into expressions and equations and vice versa.
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AI.1.1.b
Solve literal equations involving several variables for one variable in terms of the others.
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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.
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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.
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AI.1.2
Expressions
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AI.1.2.a
Simplify and evaluate linear, absolute value, rational and radical expressions.
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AI.1.2.b
Simplify polynomials by adding, subtracting or multiplying.
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AI.1.2.c
Factor polynomial expressions.
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AI.2
Relations and Functions
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AI.2.1
Relations and Functions
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AI.2.1.a
Distinguish between linear and nonlinear data.
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AI.2.1.b
Distinguish between relations and functions.
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AI.2.1.c
Identify dependent and independent variables, domain and range.
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AI.2.1.d
Evaluate a function using tables, equations or graphs.
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AI.2.2
Linear Equations and Graphs
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AI.2.2.a
Solve linear equations by graphing or using properties of equality.
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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.
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AI.2.2.c
Slope
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AI.2.2.c.I
Calculate the slope of a line using a graph, an equation, two points or a set of data points.
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AI.2.2.c.II
Use the slope to differentiate between lines that are parallel, perpendicular, horizontal, or vertical.
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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]).
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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.
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AI.2.2.e
Match equations to a graph, table, or situation and vice versa.
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AI.2.3
Linear Inequalities and Graphs
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AI.2.3.a
Solve linear inequalities by graphing or using properties of inequalities.
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AI.2.3.b
Match inequalities (with 1 or 2 variables) to a graph, table, or situation and vice versa.
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AI.2.4
Solve a system of linear equations by graphing, substitution or elimination.
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AI.2.5
Nonlinear Functions
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AI.2.5.a
Match exponential and quadratic functions to a table, graph or situation and vice versa.
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Exponential functions: Match exponential functions and graphs (Algebra - X.2)
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Exponential functions: Exponential growth and decay: word problems (Algebra - X.3)
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Quadratic equations: Characteristics of quadratic functions (Algebra - BB.1)
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Functions: linear, quadratic, exponential: Identify linear, quadratic, and exponential functions from graphs (Algebra - CC.1)
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Functions: linear, quadratic, exponential: Identify linear, quadratic, and exponential functions from tables (Algebra - CC.2)
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Functions: linear, quadratic, exponential: Write linear, quadratic, and exponential functions (Algebra - CC.3)
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AI.2.5.b
Solve quadratic equations by graphing, factoring, or using the quadratic formula.
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AI.3
Data Analysis, Probability and Statistics
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AI.3.1
Data Analysis
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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.
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AI.3.1.b
Make valid inferences, predictions, and/or arguments based on data from graphs, tables, and charts.
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AI.3.1.c
Solve two-step and three-step problems using concepts such as probability and measures of central tendency.
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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.
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