A.1: The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables.

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

A.2: The student will perform operations on polynomials, including

A.2.a: applying the laws of exponents to perform operations on expressions;

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions

A.2.b: adding, subtracting, multiplying, and dividing polynomials; and

 Addition and Subtraction of Functions
 Addition of Polynomials
 Dividing Polynomials Using Synthetic Division
 Modeling the Factorization of x2+bx+c

A.2.c: factoring completely first- and second-degree binomials and trinomials in one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations.

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

A.3: The student will express the square roots and cube roots of whole numbers and the square root of a monomial algebraic expression in simplest radical form.

 Operations with Radical Expressions
 Simplifying Radical Expressions

A.4: Graphing calculators will be used both as a primary tool in solving problems and to verify algebraic solutions. The student will solve multistep linear and quadratic equations in two variables, including

A.4.a: solving literal equations (formulas) for a given variable;

 Area of Triangles
 Solving Formulas for any Variable

A.4.b: justifying steps used in simplifying expressions and solving equations, using field properties and axioms of equality that are valid for the set of real numbers and its subsets;

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations II
 Solving Equations on the Number Line
 Solving Two-Step Equations

A.4.c: solving quadratic equations algebraically and graphically;

 Parabolas
 Quadratics in Polynomial Form
 Roots of a Quadratic

A.4.d: solving multistep linear equations algebraically and graphically;

 Point-Slope Form of a Line
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Two-Step Equations
 Standard Form of a Line

A.4.e: solving systems of two linear equations in two variables algebraically and graphically; and

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

A.4.f: solving real-world problems involving equations and systems of equations.

 Solving Linear Systems (Standard Form)

A.5: The student will solve multistep linear inequalities in two variables, including

A.5.a: solving multistep linear inequalities algebraically and graphically;

 Compound Inequalities
 Linear Inequalities in Two Variables
 Systems of Linear Inequalities (Slope-intercept form)

A.5.c: solving real-world problems involving inequalities; and

 Compound Inequalities
 Linear Inequalities in Two Variables

A.5.d: solving systems of inequalities.

 Linear Programming
 Systems of Linear Inequalities (Slope-intercept form)

A.6: The student will graph linear equations and linear inequalities in two variables, including

A.6.a: determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined; and

 Cat and Mouse (Modeling with Linear Systems)
 Distance-Time and Velocity-Time Graphs
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line
 Standard Form of a Line

A.6.b: writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line.

 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope
 Slope-Intercept Form of a Line
 Standard Form of a Line

A.7: The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including

A.7.a: determining whether a relation is a function;

 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

A.7.b: domain and range;

 Function Machines 3 (Functions and Problem Solving)

A.7.c: zeros of a function;

 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic
 Zap It! Game

A.7.d: x- and y-intercepts;

 Cat and Mouse (Modeling with Linear Systems)
 Linear Functions
 Points, Lines, and Equations
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic
 Slope-Intercept Form of a Line
 Zap It! Game

A.7.f: making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic.

 Arithmetic Sequences
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Geometric Sequences
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations
 Quadratics in Polynomial Form

A.8: The student, given a situation in a real-world context, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically.

 Direct and Inverse Variation

A.9: The student, given a set of data, will interpret variation in real-world contexts and calculate and interpret mean absolute deviation, standard deviation, and z-scores.

 Box-and-Whisker Plots
 Polling: City
 Real-Time Histogram
 Sight vs. Sound Reactions

A.10: The student will compare and contrast multiple univariate data sets, using box-and-whisker plots.

 Box-and-Whisker Plots

A.11: The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models. Mathematical models will include linear and quadratic functions.

 Absolute Value with Linear Functions
 Describing Data Using Statistics
 Estimating Population Size
 Least-Squares Best Fit Lines
 Polling: City
 Real-Time Histogram
 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.