AI: Algebra 1

AI.1: Understand relationships between numbers and their properties and perform operations fluently.

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.

 Dilations

AI.2: Understand, represent, and analyze patterns, relations, and functions.

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.

 Introduction to Functions

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.

 Factoring Special Products

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
 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
 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: Understand how algebra and geometric representations interconnect and build on one another.

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: Demonstrate and apply various formulas in problem-solving situations.

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).

 Distance Formula

AI.5: Represent, analyze and make inferences based on data with and without the use of technology.

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: 1/20/2017

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