New York- Mathematics: Algebra I

EngageNY Curriculum Modules    Adopted: 2013

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  4. Mathematics: Algebra I

AI.1: Relationships Between Quantities and Reasoning with Equations and Their Graphs

A1.1.A: Introduction to Functions Studied this Year—Graphing Stories

Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Compound Interest
 Exponential Functions
 Introduction to Exponential Functions
 Logarithmic Functions
 Point-Slope Form of a Line
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Roots of a Quadratic
 Standard Form of a Line
 Translating and Scaling Functions
 Zap It! Game

A1.1.B: The Structure of Expressions

Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Equations

A1.1.C: Solving Equations and Inequalities

Circles
 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Quadratic Inequalities
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Solving Linear Inequalities in One Variable
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)
 Systems of Linear Inequalities (Slope-intercept form)

A1.1.D: Creating Equations to Solve Problems

Linear Inequalities in Two Variables
 Solving Equations on the Number Line

AI.2: Descriptive Statistics

A1.2.A: Shapes and Centers of Distributions

Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

A1.2.B: Describing Variability and Comparing Distributions

Box-and-Whisker Plots
 Describing Data Using Statistics
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram

A1.2.D: Numerical Data on Two Variables

Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

AI.3: Linear and Exponential Functions

A1.3.A: Linear and Exponential Sequences

Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Compound Interest
 Geometric Sequences

A1.3.B: Functions and Their Graphs

Absolute Value with Linear Functions
 Cat and Mouse (Modeling with Linear Systems)
 Exponential Functions
 Introduction to Exponential Functions
 Point-Slope Form of a Line
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Radical Functions
 Standard Form of a Line

A1.3.C: Transformations of Functions

Absolute Value with Linear Functions
 Circles
 Exponential Functions
 Introduction to Exponential Functions
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Rational Functions
 Solving Equations on the Number Line
 Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions
 Translations
 Zap It! Game

A1.3.D: Using Functions and Graphs to Solve Problems

Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Point-Slope Form of a Line
 Quadratics in Polynomial Form
 Standard Form of a Line

AI.4: Polynomial and Quadratic Expressions, Equations, and Functions

A1.4.A: Quadratic Expressions, Equations, Functions, and their Connection to Rectangles

Addition and Subtraction of Functions
 Exponential Functions
 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Roots of a Quadratic
 Translating and Scaling Functions
 Zap It! Game

A1.4.B: Using Different Forms for Quadratic 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

A1.4.C: Function Transformations and Modeling

Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Introduction to Exponential Functions
 Quadratics in Polynomial Form
 Radical Functions
 Rational Functions
 Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions
 Translations

AI.5: A Synthesis of Modeling with Equations and Functions

A1.5.A: Elements of Modeling

Quadratics in Polynomial Form
 Using Algebraic Expressions

A1.5.B: Completing the Modeling Cycle

Arithmetic Sequences
 Geometric Sequences
 Quadratics in Polynomial Form
 Using Algebraic Expressions

Correlation last revised: 9/16/2020

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