State Frameworks

AI.1.a: Apply properties of real numbers to simplify algebraic expressions, including polynomials.

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

AI.1.b: Use matrices to solve mathematical situations and contextual problems.

AI.2.b: Solve and graph absolute value equations and inequalities in one variable.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Compound Inequalities

AI.2.c: Analyze the relationship between x and y values, determine whether a relation is a function, and identify domain and range.

AI.2.e: Graph and analyze linear functions.

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Exponential Functions

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Graphs of Polynomial Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

AI.2.f: Use algebraic and graphical methods to solve systems of linear equations and inequalities in mathematical and real-world situations.

Cat and Mouse (Modeling with Linear Systems)

Linear Programming

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

Systems of Linear Inequalities (Slope-intercept form)

AI.2.g: Add, subtract, multiply, and divide polynomial expressions.

Addition and Subtraction of Functions

Addition of Polynomials

Dividing Polynomials Using Synthetic Division

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

AI.2.h: Factor polynomials by using Greatest Common Factor (GCF) and factor quadratics that have only rational roots.

AI.2.i: Determine the solutions to quadratic equations by using graphing, tables, completing the square, the Quadratic formula, and factoring.

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

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

AI.2.k: Graph and analyze absolute value and quadratic functions.

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Exponential Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

Translating and Scaling Functions

Zap It! Game

AI.2.l: Write, graph, and analyze inequalities in two variables.

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

AI.3.a: Apply the concept of slope to determine if lines in a plane are parallel or perpendicular.

Cat and Mouse (Modeling with Linear Systems)

AI.3.b: Solve problems that involve interpreting slope as a rate of change.

Cat and Mouse (Modeling with Linear Systems)

Distance-Time and Velocity-Time Graphs

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

AI.4.a: Solve real-world problems involving formulas for perimeter, area, distance, and rate.

Area of Parallelograms

Circles

Distance Formula

Household Energy Usage

Perimeter and Area of Rectangles

AI.4.b: Explain and apply the appropriate formula to determine length, midpoint, and slope of a segment in a coordinate plane. (i.e., distance formula, Pythagorean Theorem).

AI.5.a: Draw conclusions and make predictions from scatter plots.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

AI.5.b: Use linear regression to find the line-of-best fit from a given set of 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.