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 x2+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 x2+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