### 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.

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

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

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

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.

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

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

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.

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

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

#### 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.

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

#### 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.

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: 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.

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

Correlation last revised: 5/17/2018

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