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Unit 1: Algebra foundations

Unit 2: solving equations & inequalities, unit 3: working with units, unit 4: linear equations & graphs, unit 5: forms of linear equations, unit 6: systems of equations, unit 7: inequalities (systems & graphs), unit 8: functions, unit 9: sequences, unit 10: absolute value & piecewise functions, unit 11: exponents & radicals, unit 12: exponential growth & decay, unit 13: quadratics: multiplying & factoring, unit 14: quadratic functions & equations, unit 15: irrational numbers, unit 16: creativity in algebra.

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Common Core Algebra I

The full experience and value of eMATHinstruction courses are achieved when units and lessons are followed in order.  Students learn skills in earlier units that they will then build upon later in the course.  Lessons can be used in isolation but are most effective when used in conjunction with the other lessons in this course. All Lesson/Homework files, Spanish translations of those files, and videos are available for free.  Other resources, such as answer keys and more, are accessible with a paid  membership .

If you have an Algebra I membership, please note that you also have access to the paid resources for N-Gen Math Algebra I.

Standards Alignment – Powered by EdGate

  • Unit 1 - The Building Blocks of Algebra
  • Table of Contents for Common Core Algebra I
  • Unit 2 - Linear Expressions, Equations, and Inequalities
  • Unit 3 - Functions
  • Unit 4 - Linear Functions and Arithmetic Sequences
  • Unit 5 - Systems of Linear Equations and Inequalities
  • Unit 6 - Exponents, Exponents, Exponents and More Exponents
  • Unit 7 - Polynomials
  • Unit 8 - Quadratic Functions and Their Algebra
  • Unit 9 - Roots and Irrational Numbers
  • Unit 10 - Statistics
  • Unit 11 - A Final Look at Functions and Modeling

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Common Core Algebra I Math (Worksheets, Homework, Lesson Plans)

Related Topics: Common Core Math Resources, Lesson Plans & Worksheets for all grades Common Core Math Video Lessons, Math Worksheets and Games for Algebra Common Core Math Video Lessons, Math Worksheets and Games for all grades

Looking for video lessons that will help you in your Common Core Algebra I math classwork or homework? Looking for Common Core Math Worksheets and Lesson Plans that will help you prepare lessons for Algebra I students?

The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. Eureka/EngageNY Math Algebra I Worksheets.

These Lesson Plans and Worksheets are divided into five modules.

Algebra I Homework, Lesson Plans and Worksheets

Topics and Objectives (Module 1)
Introduction to Functions Studied This Year - Graphing Stories





: Graphs of Piecewise Linear Functions ( )

:Graphs of Quadratic Functions ( )

: Graphs of Exponential Functions ( )

: Analyzing Graphs - Water Usage During a Typical Day at School ( )

: Two Graphing Stories ( )

The Structure of Expressions



: Algebraic Expressions - The Distributive Property ( )

:  Algebraic Expressions - The Commutative and Associative Properties ( )

: Adding and Subtracting Polynomials ( )

: Multiplying Polynomials ( )

Solving Equations and Inequalities



: True and False Equations ( )

: Solution Sets for Equations and Inequalities ( )

: Solving Equations ( )

: Some Potential Dangers when Solving Equations ( )

: Solving Inequalities ( )

: Solution Sets of Two or More Equations (or Inequalities) Joined by “And” or “Or” ( )

: Solving and Graphing Inequalities Joined by “And” or “Or” ( )

: Equations Involving Factored Expressions ( )

: Equations Involving a Variable Expression in the Denominator ( )

: Rearranging Formulas (

, : Solution Sets to Equations and Inequalities with Two Variables ( ) ( )

, : Solution Sets to Simultaneous Equations ( ) ( )

: Applications of Systems of Equations and Inequalities )
Creating Equations to Solve Problems



: Solving Problems in Two Ways - Rules and Algebra ( )

, :Recursive Challenge Problem - The Double and Add 5 Game ( )

: Federal Income Tax ( )

Topics and Objectives (Module 2)
Shapes and Centers of Distributions





: Distributions and Their Shapes ( )

: Describing the Center of a Distribution ( )

: Estimating Centers and Interpreting the Mean as a Balance Point ( )
Describing Variability and Comparing Distributions



: Summarizing Deviations from the Mean ( )

: Measuring Variability for Symmetrical Distributions ( )

: Interpreting the Standard Deviation ( )

: Measuring Variability for Skewed Distributions (Interquartile Range) ( )

: Comparing Distributions ( )

Categorical Data on Two Variables



: Summarizing Bivariate Categorical Data ( )

: Summarizing Bivariate Categorical Data with Relative Frequencies ( )

: Conditional Relative Frequencies and Association ( )
Numerical Data on Two Variables



, : Relationships between Two Numerical Variables ( )

: Modeling Relationships with a Line ( )

: Interpreting Residuals from a Line ( )

: More on Modeling Relationships with a Line ( )

, : Analyzing Residuals ( )

: Interpreting Correlation ( )

: Analyzing Data Collected on Two Variables
Topics and Objectives (Module 3)
Linear and Exponential Sequences




: Integer Sequences - Should You Believe in Patterns? ( )

: Recursive Formulas for Sequences ( )

: Arithmetic and Geometric Sequences ( )

: Why Do Banks Pay YOU to Provide Their Services? ( )

: The Power of Exponential Growth ( )

: Exponential Growth - U.S. Population and World Population ( )

: Exponential Decay ( )




: Why Stay with Whole Numbers? ( )

, :Representing, Naming, and Evaluating Functions ( )

: The Graph of a Function ( )

: The Graph of the Equation y=f(x) ( )

: Interpreting the Graph of a Function ( )

: Linear and Exponential Models - Comparing Growth Rates ( )

Transformations of Functions



: Piecewise Functions ( )

: Graphs Can Solve Equations Too ( )

, , , : Four Interesting Transformations of Functions ( )

Using Functions and Graphs to Solve Problems



: Comparing Linear and Exponential Models Again ( )

: Modeling an Invasive Species Population ( )

: Newton's Law of Cooling ( )

: Piecewise and Step Functions in Context ( )

Topics and Objectives (Module 4)
Quadratic Expressions, Equations, Functions, and Their Connection to Rectangles





, : Multiplying and Factoring Polynomial Expressions ( )

, : Advanced Factoring Strategies for Quadratic Expressions ( )

: The Zero-Product Property ( )

: Solving Basic One-Variable Quadratic Equations ( )

: Creating and Solving Quadratic Equations in One Variable ( )

: Exploring the Symmetry in Graphs of Quadratic Functions ( )

: Graphing Quadratic Functions from Factored Form, f(x)=a(x-m)(x-n) ( )

: Interpreting Quadratic Functions from Graphs and Tables ( )
Using Different Forms for Quadratic Functions



, : Completing the Square ( )

: Solving Equations by Completing the Square ( )

: Deriving the Quadratic Formula ( )

: Using the Quadratic Formula ( )

: Graphing Quadratic Equations From the Vertex Form, y=a(x-h) +k ( )

: Graphing Quadratic Functions From the Standard Form, f(x)=ax +bx+c ( )
Function Transformations and Modeling



: Graphing Cubic, Square Root, and Cube Root Functions

: Translating Functions ( )

: Stretching and Shrinking Graphs of Functions ( )

: Transformations of the Quadratic Parent Function, f(x)=x ( )

: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways ( )

, : Modeling with Quadratic Functions ( )
Topics and Objectives (Module 5)
Elements of Modeling





: Analyzing a Graph ( )

: Analyzing a Data Set ( )

: Analyzing a Verbal Description ( )
Completing the Modeling Cycle



: Modeling a Context from a Graph ( )

: Modeling from a Sequence ( )

, : Modeling a Context from Data ( ) ( )

, : Modeling a Context from a Verbal Description ( ) ( )

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COMMENTS

  1. Algebra 1 | Math | Khan Academy

    The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential models; and Quadratic equations, functions, and graphs.

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  3. Common Core Algebra I - eMATHinstruction

    Unit 1 - The Building Blocks of Algebra. Table of Contents for Common Core Algebra I. Unit 2 - Linear Expressions, Equations, and Inequalities. Unit 3 - Functions. Unit 4 - Linear Functions and Arithmetic Sequences. Unit 5 - Systems of Linear Equations and Inequalities. Unit 6 - Exponents, Exponents, Exponents and More Exponents.

  4. Algebra 1, Unit 6: Lesson 1 | Open Up HS Math (CCSS), Student

    Lesson Summary. In this lesson we investigated a new kind of function called a quadratic function. We modeled a sequence of figures with tables, graphs, and explicit and recursive equations to identify features of quadratic functions and how they appear in each representation.

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