111.32.A.1: The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways.

111.32.A.1.B: gather and record data and use data sets to determine functional relationships between quantities;

Introduction to Functions
Linear Functions
Points, Lines, and Equations

111.32.A.1.C: describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations;

Points, Lines, and Equations

111.32.A.1.D: represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities; and

Absolute Value Equations and Inequalities
Exponential Functions
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Linear Inequalities in Two Variables
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Radical Functions

111.32.A.2: The student uses the properties and attributes of functions.

111.32.A.2.A: identify and sketch the general forms of linear (y = x) and quadratic (y = x²) parent functions;

Absolute Value with Linear Functions
Addition and Subtraction of Functions
Arithmetic Sequences
Compound Interest
Exponential Functions
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Point-Slope Form of a Line
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
Slope-Intercept Form of a Line
Standard Form of a Line
Translating and Scaling Functions
Zap It! Game

111.32.A.2.B: identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete;

Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Logarithmic Functions
Radical Functions

111.32.A.2.C: interpret situations in terms of given graphs or creates situations that fit given graphs; and

Absolute Value with Linear Functions
Determining a Spring Constant
Exponential Functions
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Exponential Functions
Point-Slope Form of a Line
Quadratics in Factored Form
Quadratics in Polynomial Form
Radical Functions
Standard Form of a Line

111.32.A.2.D: collect and organize data, make and interpret scatterplots (including recognizing positive, negative, or no correlation for data approximating linear situations), and model, predict, and make decisions and critical judgments in problem situations.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

111.32.A.3: The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations.

111.32.A.3.A: use symbols to represent unknowns and variables; and

Solving Algebraic Equations I
Square Roots
Using Algebraic Expressions

111.32.A.3.B: look for patterns and represent generalizations algebraically.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences

111.32.A.4: 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.

111.32.A.4.A: find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations;

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c
Simplifying Algebraic Expressions II

111.32.A.4.B: use the commutative, associative, and distributive properties to simplify algebraic expressions; and

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Operations with Radical Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

111.32.A.5: The student understands that linear functions can be represented in different ways and translates among their various representations.

111.32.A.5.A: determine whether or not given situations can be represented by linear functions;

Compound Interest
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Slope-Intercept Form of a Line

111.32.A.5.B: determine the domain and range for linear functions in given situations; and

Function Machines 3 (Functions and Problem Solving)

111.32.A.5.C: use, translate, and make connections among algebraic, tabular, graphical, or verbal descriptions of 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)
Geometric Sequences
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

111.32.A.6: The student understands the meaning of the slope and intercepts of the graphs of linear functions and zeros of linear functions and interprets and describes the effects of changes in parameters of linear functions in real-world and mathematical situations.

111.32.A.6.A: develop the concept of slope as rate of change and determine slopes from graphs, tables, and algebraic representations;

Absolute Value with Linear Functions
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)
Introduction to Functions
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line
Standard Form of a Line

111.32.A.6.B: interpret the meaning of slope and intercepts in situations using data, symbolic representations, or graphs;

Cat and Mouse (Modeling with Linear Systems)
Points, Lines, and Equations
Slope-Intercept Form of a Line

111.32.A.6.C: investigate, describe, and predict the effects of changes in m and b on the graph of y = mx + b;

Absolute Value with Linear Functions
Slope-Intercept Form of a Line

111.32.A.6.D: graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept;

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

111.32.A.6.E: determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations;

Absolute Value with Linear Functions
Cat and Mouse (Modeling with Linear Systems)
Exponential Functions
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

111.32.A.6.F: interpret and predict the effects of changing slope and y-intercept in applied situations; and

Introduction to Exponential Functions
Points, Lines, and Equations
Slope-Intercept Form of a Line
Translating and Scaling Functions
Zap It! Game

111.32.A.6.G: relate direct variation to linear functions and solve problems involving proportional change.

Direct and Inverse Variation

111.32.A.7: The student formulates equations and inequalities based on linear functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

111.32.A.7.A: analyze situations involving linear functions and formulate linear equations or inequalities to solve problems;

Absolute Value with Linear Functions
Exploring Linear Inequalities in One Variable
Linear Functions
Linear Inequalities in Two Variables
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line
Solving Equations by Graphing Each Side
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form)

111.32.A.7.B: investigate methods for solving linear equations and inequalities using concrete models, graphs, and the properties of equality, select a method, and solve the equations and inequalities; and

Compound Inequalities

111.32.A.7.C: interpret and determine the reasonableness of solutions to linear equations and inequalities.

Compound Inequalities
Linear Inequalities in Two Variables
Point-Slope Form of a Line
Solving Equations by Graphing Each Side
Standard Form of a Line

111.32.A.8: The student formulates systems of linear equations from problem situations, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

111.32.A.8.A: analyze situations and formulate systems of linear equations in two unknowns to solve problems;

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

111.32.A.8.B: solve systems of linear equations using concrete models, graphs, tables, and algebraic methods; and

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

111.32.A.8.C: interpret and determine the reasonableness of solutions to systems of linear equations.

Solving Linear Systems (Standard Form)

111.32.A.9: The student understands that the graphs of quadratic functions are affected by the parameters of the function and can interpret and describe the effects of changes in the parameters of quadratic functions.

111.32.A.9.B: investigate, describe, and predict the effects of changes in a on the graph of y = ax² + c;

Parabolas
Translating and Scaling Functions
Zap It! Game

111.32.A.9.C: investigate, describe, and predict the effects of changes in c on the graph of y = ax² + c; and

Parabolas
Translating and Scaling Functions
Zap It! Game

111.32.A.10: The student understands there is more than one way to solve a quadratic equation and solves them using appropriate methods.

111.32.A.10.A: solve quadratic equations using concrete models, tables, graphs, and algebraic methods; and

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

111.32.A.10.B: make connections among the solutions (roots) of quadratic equations, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.

Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic

111.32.A.11: The student understands there are situations modeled by functions that are neither linear nor quadratic and models the situations.

111.32.A.11.B: analyze data and represent situations involving inverse variation using concrete models, tables, graphs, or algebraic methods; and

Direct and Inverse Variation

111.32.A.11.C: analyze data and represent situations involving exponential growth and decay using concrete models, tables, graphs, or algebraic methods.

Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions