Standards

A1.1.A: Select and justify functions and equations to model and solve problems.

Solving Equations on the Number Line

A1.1.B: Solve problems that can be represented by linear functions, equations, and inequalities.

Compound Interest

Linear Inequalities in Two Variables

Solving Equations by Graphing Each Side

A1.1.C: Solve problems that can be represented by a system of two linear equations or inequalities.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

A1.1.E: Solve problems that can be represented by exponential functions and equations.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

A1.2.A: Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line.

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

A1.2.B: Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.

Solving Algebraic Equations I

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

A1.2.C: Interpret and use integer exponents and square and cube roots, and apply the laws and properties of exponents to simplify and evaluate exponential expressions.

A1.2.F: Add, subtract, multiply, and divide polynomials.

Addition and Subtraction of Functions

Addition of Polynomials

Dividing Polynomials Using Synthetic Division

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

A1.3.A: Determine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.

A1.3.B: Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.

Function Machines 1 (Functions and Tables)

Linear Functions

A1.4.A: Write and solve linear equations and inequalities in one variable.

Solving Equations by Graphing Each Side

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

A1.4.B: Write and graph an equation for a line given the slope and the yintercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

A1.4.C: Identify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular lines.

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

A1.4.D: Write and solve systems of two linear equations and inequalities in two variables.

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)

A1.4.E: Describe how changes in the parameters of linear functions and functions containing an absolute value of a linear expression affect their graphs and the relationships they represent.

Absolute Value with Linear Functions

Slope-Intercept Form of a Line

Translating and Scaling Functions

A1.5.B: Sketch the graph of a quadratic function, describe the effects that changes in the parameters have on the graph, and interpret the x-intercepts as solutions to a quadratic equation.

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

A1.5.C: Solve quadratic equations that can be factored as (ax + b)(cx + d) where a, b, c, and d are integers.

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

A1.5.D: Solve quadratic equations that have real roots by completing the square and by using the quadratic formula.

Quadratics in Factored Form

Roots of a Quadratic

A1.6.B: Make valid inferences and draw conclusions based on data.

Box-and-Whisker Plots

Polling: City

A1.6.D: Find the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and y-intercept of the line, and use the equation to make predictions.

A1.6.E: Describe the correlation of data in scatterplots in terms of strong or weak and positive or negative.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

A1.7.A: Sketch the graph for an exponential function of the form y = abn where n is an integer, describe the effects that changes in the parameters a and b have on the graph, and answer questions that arise in situations modeled by exponential functions.

A1.7.B: Find and approximate solutions to exponential equations.

A1.7.C: Express arithmetic and geometric sequences in both explicit and recursive forms, translate between the two forms, explain how rate of change is represented in each form, and use the forms to find specific terms in the sequence.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

A1.7.D: Solve an equation involving several variables by expressing one variable in terms of the others.

Solving Formulas for any Variable

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.