Priority Academic Student Skills

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.

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

Standard Form of a Line

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

Addition and Subtraction of Functions

Addition of Polynomials

Modeling the Factorization of *x*^{2}+*bx*+*c*

Simplifying Algebraic Expressions II

AI.1.2.c: Factor polynomial expressions.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

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.

Introduction to Functions

Logarithmic Functions

Radical Functions

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

Exponential Functions

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

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

Introduction to Functions

Linear Functions

Points, Lines, and Equations

Quadratics in Polynomial Form

Quadratics in Vertex 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

Quadratics in Vertex 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 *x*^{2}+*bx*+*c*

Parabolas

Quadratics in Polynomial Form

Quadratics in Vertex Form

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.

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.

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: 5/21/2018

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