State Frameworks

AI.1.a: Apply properties of real numbers to simplify algebraic expressions, including polynomials.

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

AI.1.b: Use matrices to solve mathematical situations and contextual problems.

AI.2.b: Solve and graph absolute value equations and inequalities in one variable.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Compound Inequalities

AI.2.c: Analyze the relationship between x and y values, determine whether a relation is a function, and identify domain and range.

AI.2.e: Graph and analyze 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)

Graphs of Polynomial Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

AI.2.f: Use algebraic and graphical methods to solve systems of linear equations and inequalities in mathematical and real-world situations.

Cat and Mouse (Modeling with Linear Systems)

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)

AI.2.g: Add, subtract, multiply, and divide polynomial expressions.

Addition and Subtraction of Functions

Addition of Polynomials

Dividing Polynomials Using Synthetic Division

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

AI.2.h: Factor polynomials by using Greatest Common Factor (GCF) and factor quadratics that have only rational roots.

AI.2.i: Determine the solutions to quadratic equations by using graphing, tables, completing the square, the Quadratic formula, and factoring.

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

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

AI.2.k: Graph and analyze absolute value and quadratic functions.

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Exponential Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

Translating and Scaling Functions

Zap It! Game

AI.2.l: Write, graph, and analyze inequalities in two variables.

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

AI.3.a: Apply the concept of slope to determine if lines in a plane are parallel or perpendicular.

Cat and Mouse (Modeling with Linear Systems)

AI.3.b: Solve problems that involve interpreting slope as a rate of change.

Cat and Mouse (Modeling with Linear Systems)

Distance-Time and Velocity-Time Graphs

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

AI.4.a: Solve real-world problems involving formulas for perimeter, area, distance, and rate.

Area of Parallelograms

Circles

Distance Formula

Household Energy Usage

Perimeter and Area of Rectangles

AI.4.b: Explain and apply the appropriate formula to determine length, midpoint, and slope of a segment in a coordinate plane. (i.e., distance formula, Pythagorean Theorem).

AI.5.a: Draw conclusions and make predictions from scatter plots.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

AI.5.b: Use linear regression to find the line-of-best fit from a given set of data.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

Correlation last revised: 5/17/2018