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
 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: 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: 4/4/2018

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