Academic Standards

A1.1.2: Simplify square roots using factors.

Operations with Radical Expressions

A1.1.3: Understand and use the distributive, associative, and commutative properties.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

A1.1.5: Use dimensional (unit) analysis to organize conversions and computations.

A1.2.1: Solve linear equations.

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Two-Step Equations

A1.2.3: Find solution sets of linear inequalities when possible numbers are given for the variable.

Systems of Linear Inequalities (Slope-intercept form)

A1.2.4: Solve linear inequalities using properties of order.

Compound Inequalities

Linear Inequalities in Two Variables

Solving Linear Inequalities in One Variable

A1.2.5: Solve combined linear inequalities.

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

A1.2.6: Solve word problems that involve linear equations, formulas, and inequalities.

Point-Slope Form of a Line

Standard Form of a Line

A1.3.1: Sketch a reasonable graph for a given relationship.

Absolute Value with Linear Functions

Distance-Time Graphs

Quadratics in Polynomial Form

A1.3.3: Understand the concept of a function, decide if a given relation is a function, and link equations to functions.

Absolute Value Equations and Inequalities

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

Linear Functions

Points, Lines, and Equations

A1.3.4: Find the domain and range of a relation.

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

Logarithmic Functions

Radical Functions

A1.4.1: Graph a linear equation.

Absolute Value with Linear Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Solving Equations by Graphing Each Side

Standard Form of a Line

A1.4.2: Find the slope, x-intercept and y-intercept of a line given its graph, its equation, or two points on the line.

Cat and Mouse (Modeling with Linear Systems)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

A1.4.3: Write the equation of a line in slope-intercept form. Understand how the slope and y-intercept of the graph are related to the equation.

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

A1.4.4: Write the equation of a line given appropriate information.

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations on the Number Line

Standard Form of a Line

A1.4.6: Graph a linear inequality in two variables.

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

A1.5.2: Use a graph to find the solution set of a pair of linear inequalities in two variables.

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

A1.5.3: Understand and use the substitution method to solve a pair of linear equations in two variables.

Solving Equations by Graphing Each Side

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

A1.5.4: Understand and use the addition or subtraction method to solve a pair of linear equations in two variables.

Solving Linear Systems (Standard Form)

A1.5.5: Understand and use multiplication with the addition or subtraction method to solve a pair of linear equations in two variables.

Solving Equations by Graphing Each Side

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

A1.5.6: Use pairs of linear equations to solve word problems.

Cat and Mouse (Modeling with Linear Systems)

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

A1.6.1: Add and subtract polynomials.

Addition and Subtraction of Functions

Addition of Polynomials

A1.6.2: Multiply and divide monomials.

Dividing Exponential Expressions

Multiplying Exponential Expressions

A1.6.4: Multiply polynomials.

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

A1.6.5: Divide polynomials by monomials.

Dividing Polynomials Using Synthetic Division

A1.6.6: Find a common monomial factor in a polynomial.

A1.6.7: Factor the difference of two squares and other quadratics.

Factoring Special Products

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

A1.8.1: Graph quadratic, cubic, and radical equations.

Parabolas

Quadratics in Polynomial Form

Radical Functions

Roots of a Quadratic

A1.8.2: Solve quadratic equations by factoring.

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

Quadratics in Factored Form

A1.8.4: Complete the square to solve quadratic equations.

A1.8.5: Derive the quadratic formula by completing the square.

A1.8.6: Solve quadratic equations by using the quadratic formula.

A1.8.8: Solve equations that contain radical expressions.

Operations with Radical Expressions

A1.9.1: Use a variety of problem solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards.

Estimating Population Size

Linear Inequalities in Two Variables

Modeling One-Step Equations

Solving Equations on the Number Line

Using Algebraic Equations

A1.9.3: Use the properties of the real number system and the order of operations to justify the steps of simplifying functions and solving equations.

Solving Algebraic Equations II

Solving Equations on the Number Line

A1.9.4: Understand that the logic of equation solving begins with the assumption that the variable is a number that satisfies the equation, and that the steps taken when solving equations create new equations that have, in most cases, the same solution set as the original. Understand that similar logic applies to solving systems of equations simultaneously.

Solving Linear Systems (Standard Form)

A1.9.7: Identify the hypothesis and conclusion in a logical deduction.

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.