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.

 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

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

 Area of Triangles
 Solving Formulas for any Variable

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.

 Area of Triangles

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.

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Percent of Change

AI.1.2: Expressions

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

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Operations with Radical Expressions
 Simplifying Radical Expressions
 Solving Equations by Graphing Each Side

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

 Addition and Subtraction of Functions
 Addition of Polynomials
 Modeling the Factorization of x2+bx+c
 Simplifying Algebraic Expressions II

AI.1.2.c: Factor polynomial expressions.

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

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.

 Absolute Value with Linear Functions
 Linear Functions

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

 Introduction to Functions
 Linear Functions

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

 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Logarithmic Functions
 Radical Functions

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

 Exponential Functions
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Exponential Functions
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

AI.2.2: Linear Equations and Graphs

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

 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Point-Slope Form of a Line
 Slope-Intercept Form of a Line
 Solving Algebraic Equations II
 Solving Two-Step Equations
 Standard Form of a Line

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.

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Compound Interest
 Exponential Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Point-Slope Form of a Line
 Slope-Intercept Form of a Line
 Standard Form of a Line
 Translating and Scaling Functions

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.

 Absolute Value with Linear Functions
 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line
 Standard Form of a Line

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

 Point-Slope Form of a Line
 Slope-Intercept Form of a Line
 Standard Form of a Line

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]).

 Cat and Mouse (Modeling with Linear Systems)
 Slope-Intercept Form of a Line

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.

 Linear Functions
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope
 Slope-Intercept Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

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

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations
 Quadratics in Polynomial Form
 Solving Equations on the Number Line

AI.2.3: Linear Inequalities and Graphs

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

 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Solving Linear Inequalities in One Variable
 Systems of Linear Inequalities (Slope-intercept form)

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

 Solving Linear Inequalities in One Variable

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

 Cat and Mouse (Modeling with Linear Systems)
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

AI.2.5: Nonlinear Functions

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

 Addition and Subtraction of Functions
 Compound Interest
 Exponential Functions
 Introduction to Exponential Functions
 Logarithmic Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic
 Translating and Scaling Functions
 Zap It! Game

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

 Modeling the Factorization of x2+bx+c
 Parabolas
 Quadratics in Polynomial Form

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.

 Stem-and-Leaf Plots

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

 Polling: City
 Real-Time Histogram

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

 Estimating Population Size

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
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.