Tested State Standards

1.2A.1: The student uses properties and attributes of functions and applies functions to problem situations.

1.2A.1.A: identify the mathematical domains and ranges of functions and determine reasonable domain and range values for continuous and discrete situations; and

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

1.2A.1.B: collect and organize data, make and interpret scatterplots, fit the graph of a function to the data, interpret the results, and proceed to model, predict, and make decisions and critical judgments.

Correlation

Real-Time Histogram

Solving Using Trend Lines

1.2A.4: The student connects algebraic and geometric representations of functions.

1.2A.4.A: identify and sketch graphs of parent functions, including linear (f(x) = x), quadratic (f(x) = x²), exponential (f(x) = a to the x power), and logarithmic (f(x) = logax) functions, absolute value of x(f(x) = |x|), square root of x (f(x) = square root of x), and reciprocal of x (f(x) = 1/x);

Exponential Functions - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Functions Involving Square Roots

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Radical Functions

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity B

1.2A.4.B: extend parent functions with parameters such as a in f(x) = a/x and describe the effects of the parameter changes on the graph of parent functions; and

Cosine Function

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Functions Involving Square Roots

Parabolas - Activity A

Points, Lines, and Equations

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Rational Functions

Roots of a Quadratic

Sine Function

Slope-Intercept Form of a Line - Activity B

Tangent Function

Translating and Scaling Functions

1.2A.4.C: describe and analyze the relationship between a function and its inverse.

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

2.2A.2: The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in problem situations.

2.2A.2.A: use tools including factoring and properties of exponents to simplify expressions and to transform and solve equations; and

Dividing Exponential Expressions

Exponents and Power Rules

Factoring Special Products

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

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

Multiplying Exponential Expressions

Translating and Scaling Functions

2.2A.2.B: use complex numbers to describe the solutions of quadratic equations.

2.2A.3: The student formulates systems of equations and inequalities from problem situations, uses a variety of methods to solve them, and analyzes the solutions in terms of the situations.

2.2A.3.A: analyze situations and formulate systems of equations in two or more unknowns or inequalities in two unknowns to solve problems;

Modeling Linear Systems - Activity A

System of Two Quadratic Inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

2.2A.3.B: use algebraic methods, graphs, tables, or matrices, to solve systems of equations or inequalities; and

Modeling Linear Systems - Activity A

Points, Lines, and Equations

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

System of Two Quadratic Inequalities

Systems of Linear Equations - Activity A

Systems of Linear Inequalities (Slope-intercept form) - Activity A

2.2A.3.C: interpret and determine the reasonableness of solutions to systems of equations or inequalities for given contexts.

Modeling Linear Systems - Activity A

System of Two Quadratic Inequalities

3.2A.6: The student understands that quadratic functions can be represented in different ways and translates among their various representations.

3.2A.6.A: determine the reasonable domain and range values of quadratic functions, as well as interpret and determine the reasonableness of solutions to quadratic equations and inequalities;

Parabolas - Activity A

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

System of Two Quadratic Inequalities

3.2A.6.B: relate representations of quadratic functions, such as algebraic, tabular, graphical, and verbal descriptions; and

Cubic Function Activity

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Parabolas - Activity A

Points, Lines, and Equations

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

3.2A.6.C: determine a quadratic function from its roots (real and complex) or a graph.

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

3.2A.8: The student formulates equations and inequalities based on quadratic functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

3.2A.8.A: analyze situations involving quadratic functions and formulate quadratic equations or inequalities to solve problems;

Parabolas - Activity A

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

System of Two Quadratic Inequalities

3.2A.8.B: analyze and interpret the solutions of quadratic equations using discriminants and solve quadratic equations using the quadratic formula;

3.2A.8.C: compare and translate between algebraic and graphical solutions of quadratic equations; and

Function Machines 2 (Functions, Tables, and Graphs)

Roots of a Quadratic

3.2A.8.D: solve quadratic equations and inequalities using graphs, tables, and algebraic methods.

Factoring Special Products

Linear Inequalities in Two Variables - Activity A

Points, Lines, and Equations

Quadratic Inequalities - Activity A

Roots of a Quadratic

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

System of Two Quadratic Inequalities

4.2A.5: The student knows the relationship between the geometric and algebraic descriptions of conic sections.

4.2A.5.A: describe a conic section as the intersection of a plane and a cone;

Parabolas - Activity A

Parabolas - Activity B

Surface and Lateral Area of Pyramids and Cones

4.2A.5.B: sketch graphs of conic sections to relate simple parameter changes in the equation to corresponding changes in the graph;

Circles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

Parabolas - Activity B

Quadratics in Factored Form

Slope-Intercept Form of a Line - Activity B

Translating and Scaling Functions

4.2A.5.C: identify symmetries from graphs of conic sections;

Circles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

Parabolas - Activity B

Quadratics in Factored Form

4.2A.5.D: identify the conic section from a given equation; and

Classifying Quadrilaterals - Activity B

Classifying Triangles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

Parallelogram Conditions

Special Quadrilaterals

4.2A.7: The student interprets and describes the effects of changes in the parameters of quadratic functions in applied and mathematical situations.

4.2A.7.A: use characteristics of the quadratic parent function to sketch the related graphs and connect between the y = ax² + bx + c and the y = a(x ? h)² + k symbolic representations of quadratic functions; and

Function Machines 2 (Functions, Tables, and Graphs)

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

4.2A.7.B: use the parent function to investigate, describe, and predict the effects of changes in a, h, and k on the graphs of y = a(x ? h)² + k form of a function in applied and purely mathematical situations.

Function Machines 2 (Functions, Tables, and Graphs)

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity B

Translating and Scaling Functions

5.2A.9: The student formulates equations and inequalities based on square root functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

5.2A.9.A: use the parent function to investigate, describe, and predict the effects of parameter changes on the graphs of square root functions and describe limitations on the domains and ranges;

Function Machines 2 (Functions, Tables, and Graphs)

Functions Involving Square Roots

Radical Functions

Slope-Intercept Form of a Line - Activity B

Translating and Scaling Functions

5.2A.9.B: relate representations of square root functions, such as algebraic, tabular, graphical, and verbal descriptions;

Exponential Functions - Activity A

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Functions Involving Square Roots

Introduction to Functions

Linear Functions

Points, Lines, and Equations

Radical Functions

5.2A.9.C: determine the reasonable domain and range values of square root functions, as well as interpret and determine the reasonableness of solutions to square root equations and inequalities;

Functions Involving Square Roots

Radical Functions

Simplifying Radicals - Activity A

Simplifying Radicals - Activity B

Square Roots

System of Two Quadratic Inequalities

5.2A.9.D: determine solutions of square root equations using graphs, tables, and algebraic methods;

5.2A.9.E: determine solutions of square root inequalities using graphs and tables;

Linear Inequalities in Two Variables - Activity A

Square Roots

System of Two Quadratic Inequalities

5.2A.9.F: analyze situations modeled by square root functions, formulate equations or inequalities, select a method, and solve problems; and

Functions Involving Square Roots

Radical Functions

Simplifying Radicals - Activity A

Simplifying Radicals - Activity B

System of Two Quadratic Inequalities

5.2A.9.G: connect inverses of square root functions with quadratic functions.

Functions Involving Square Roots

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Roots of a Quadratic

6.2A.10: The student formulates equations and inequalities based on rational functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

6.2A.10.A: use quotients of polynomials to describe the graphs of rational functions, predict the effects of parameter changes, describe limitations on the domains and ranges, and examine asymptotic behavior;

Function Machines 2 (Functions, Tables, and Graphs)

General Form of a Rational Function

Rational Functions

Slope-Intercept Form of a Line - Activity B

Translating and Scaling Functions

6.2A.10.B: analyze various representations of rational functions with respect to problem situations;

General Form of a Rational Function

Rational Functions

6.2A.10.C: determine the reasonable domain and range values of rational functions, as well as interpret and determine the reasonableness of solutions to rational equations and inequalities;

General Form of a Rational Function

Rational Functions

System of Two Quadratic Inequalities

6.2A.10.D: determine the solutions of rational equations using graphs, tables, and algebraic methods;

6.2A.10.E: determine solutions of rational inequalities using graphs and tables;

Arithmetic Sequences

Points, Lines, and Equations

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

6.2A.10.F: analyze a situation modeled by a rational function, formulate an equation or inequality composed of a linear or quadratic function, and solve the problem; and

General Form of a Rational Function

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Rational Functions

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity B

System of Two Quadratic Inequalities

6.2A.10.G: use functions to model and make predictions in problem situations involving direct and inverse variation.

Direct Variation

Direct and Inverse Variation

General Form of a Rational Function

Modeling Linear Systems - Activity A

Rational Functions

Road Trip (Problem Solving)

7.2A.11: The student formulates equations and inequalities based on exponential and logarithmic functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

7.2A.11.A: develop the definition of logarithms by exploring and describing the relationship between exponential functions and their inverses;

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Function Machines 3 (Functions and Problem Solving)

7.2A.11.B: use the parent functions to investigate, describe, and predict the effects of parameter changes on the graphs of exponential and logarithmic functions, describe limitations on the domains and ranges, and examine asymptotic behavior;

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Slope-Intercept Form of a Line - Activity B

7.2A.11.C: determine the reasonable domain and range values of exponential and logarithmic functions, as well as interpret and determine the reasonableness of solutions to exponential and logarithmic equations and inequalities;

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

System of Two Quadratic Inequalities

7.2A.11.D: determine solutions of exponential and logarithmic equations using graphs, tables, and algebraic methods;

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

7.2A.11.E: determine solutions of exponential and logarithmic inequalities using graphs and tables; and

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

System of Two Quadratic Inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

7.2A.11.F: analyze a situation modeled by an exponential function, formulate an equation or inequality, and solve the problem.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

System of Two Quadratic Inequalities

Correlation last revised: 3/18/2014

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