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


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Common Core Math Video Lesson Lessons, Math Worksheets and Games for all grades

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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

Module 1 Overview

Topic A Overview

Lesson 1: Graphs of Piecewise Linear Functions (Video Lesson)

Lesson 2:Graphs of Quadratic Functions (Video Lesson)

Lesson 3: Graphs of Exponential Functions (Video Lesson)

Lesson 4: Analyzing Graphs - Water Usage During a Typical Day at School (Video Lesson)

Lesson 5: Two Graphing Stories (Video Lesson)

The Structure of Expressions

Topic B Overview

Lesson 6: Algebraic Expressions - The Distributive Property (Video Lesson)

Lesson 7:  Algebraic Expressions - The Commutative and Associative Properties (Video Lesson)

Lesson 8: Adding and Subtracting Polynomials (Video Lesson)

Lesson 9: Multiplying Polynomials (Video Lesson)

Mid-Module Assessment
Solving Equations and Inequalities

Topic C Overview

Lesson 10: True and False Equations (Video Lesson)

Lesson 11: Solution Sets for Equations and Inequalities (Video Lesson)

Lesson 12: Solving Equations (Video Lesson)

Lesson 13: Some Potential Dangers when Solving Equations (Video Lesson)

Lesson 14: Solving Inequalities (video)

Lesson 15: Solution Sets of Two or More Equations (or Inequalities) Joined by “And” or “Or” (Video Lesson)

Lesson 16: Solving and Graphing Inequalities Joined by “And” or “Or” (Video Lesson)

Lesson 17: Equations Involving Factored Expressions (Video Lesson)

Lesson 18: Equations Involving a Variable Expression in the Denominator (Video Lesson)

Lesson 19: Rearranging Formulas (Video Lesson)

Lesson 20, Lesson 21: Solution Sets to Equations and Inequalities with Two Variables (Video Lesson) (Video Lesson)

Lesson 22, Lesson 23: Solution Sets to Simultaneous Equations (Video Lesson) (Video Lesson)

Lesson 24: Applications of Systems of Equations and Inequalities (Video Lesson)
Creating Equations to Solve Problems

Topic D Overview

Lesson 25: Solving Problems in Two Ways - Rules and Algebra (Video Lesson)

Lesson 26, Lesson 27:Recursive Challenge Problem - The Double and Add 5 Game (Video Lesson)

Lesson 28: Federal Income Tax (Video Lesson)
End-of-Module Assessment



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

Module 2 Overview

Topic A Overview

Lesson 1: Distributions and Their Shapes (Video Lesson)

Lesson 2: Describing the Center of a Distribution (Video Lesson)

Lesson 3: Estimating Centers and Interpreting the Mean as a Balance Point (Video Lesson)
Describing Variability and Comparing Distributions

Topic B Overview

Lesson 4: Summarizing Deviations from the Mean (Video Lesson)

Lesson 5: Measuring Variability for Symmetrical Distributions (Video Lesson)

Lesson 6: Interpreting the Standard Deviation (Video Lesson)

Lesson 7: Measuring Variability for Skewed Distributions (Interquartile Range) (Video Lesson)

Lesson 8: Comparing Distributions (Video Lesson)
Mid-Module Assessment

Categorical Data on Two Variables

Topic C Overview

Lesson 9: Summarizing Bivariate Categorical Data (Video Lesson)

Lesson 10: Summarizing Bivariate Categorical Data with Relative Frequencies (Video Lesson)

Lesson 11: Conditional Relative Frequencies and Association (Video Lesson)
Numerical Data on Two Variables

Topic D Overview

Lesson 12, Lesson 13: Relationships between Two Numerical Variables (Video Lesson)

Lesson 14: Modeling Relationships with a Line (Video Lesson)

Lesson 15: Interpreting Residuals from a Line (Video Lesson)

Lesson 16: More on Modeling Relationships with a Line (Video Lesson)

Lesson 17, Lesson 18: Analyzing Residuals (Video Lesson)

Lesson 19: Interpreting Correlation (Video Lesson)

Lesson 20: Analyzing Data Collected on Two Variables
End-of-Module Assessment


Topics and Objectives (Module 3)
Linear and Exponential Sequences
Module 3 Overview

Topic A Overview

Lesson 1: Integer Sequences - Should You Believe in Patterns? (Video Lesson)

Lesson 2: Recursive Formulas for Sequences (Video Lesson)

Lesson 3: Arithmetic and Geometric Sequences (Video Lesson)

Lesson 4: Why Do Banks Pay YOU to Provide Their Services? (Video Lesson)

Lesson 5: The Power of Exponential Growth (Video Lesson)

Lesson 6: Exponential Growth - U.S. Population and World Population (Video Lesson)

Lesson 7: Exponential Decay (Video Lesson)
Functions and Their Graphs

Topic B Overview

Lesson 8: Why Stay with Whole Numbers? (Video Lesson)

Lesson 9, Lesson 10:  Representing, Naming, and Evaluating Functions (Video Lesson)

Lesson 11: The Graph of a Function (Video Lesson)

Lesson 12: The Graph of the Equation y=f(x) (Video Lesson)

Lesson 13: Interpreting the Graph of a Function (Video Lesson)

Lesson 14: Linear and Exponential Models - Comparing Growth Rates (Video Lesson)
Mid-Module Assessment
Transformations of Functions

Topic C Overview

Lesson 15: Piecewise Functions (Video Lesson)

Lesson 16: Graphs Can Solve Equations Too (Video Lesson)

Lesson 17, Lesson 18, Lesson 19, Lesson 20: Four Interesting Transformations of Functions (Video Lesson)

Using Functions and Graphs to Solve Problems

Topic D Overview

Lesson 21: Comparing Linear and Exponential Models Again (Video Lesson)

Lesson 22: Modeling an Invasive Species Population (Video Lesson)

Lesson 23: Newton's Law of Cooling (Video Lesson)

Lesson 24: Piecewise and Step Functions in Context (Video Lesson)
End-of-Module Assessment


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

Module 4 Overview

Topic A Overview

Lesson 1, Lesson 2: Multiplying and Factoring Polynomial Expressions (Video Lesson)

Lesson 3, Lesson 4: Advanced Factoring Strategies for Quadratic Expressions (Video Lesson)

Lesson 5: The Zero-Product Property (Video Lesson)

Lesson 6: Solving Basic One-Variable Quadratic Equations (Video Lesson)

Lesson 7: Creating and Solving Quadratic Equations in One Variable (Video Lesson)

Lesson 8: Exploring the Symmetry in Graphs of Quadratic Functions (Video Lesson)

Lesson 9: Graphing Quadratic Functions from Factored Form, f(x)=a(x-m)(x-n) (Video Lesson)

Lesson 10: Interpreting Quadratic Functions from Graphs and Tables (Video Lesson)
Mid-Module Assessment
Using Different Forms for Quadratic Functions

Topic B Overview

Lesson 11, Lesson 12: Completing the Square (Video Lesson)

Lesson 13: Solving Equations by Completing the Square (Video Lesson)

Lesson 14: Deriving the Quadratic Formula (Video Lesson)

Lesson 15: Using the Quadratic Formula (Video Lesson)

Lesson 16: Graphing Quadratic Equations From the Vertex Form, y=a(x-h)2+k (Vide0)

Lesson 17: Graphing Quadratic Functions From the Standard Form, f(x)=ax2+bx+c (Video Lesson)
Function Transformations and Modeling

Topic C Overview

Lesson 18: Graphing Cubic, Square Root, and Cube Root Functions

Lesson 19: Translating Functions (Video Lesson)

Lesson 20: Stretching and Shrinking Graphs of Functions (Video Lesson)

Lesson 21: Transformations of the Quadratic Parent Function, f(x)=x2 (Video Lesson)

Lesson 22: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways (Video Lesson)

Lesson 23, Lesson 24: Modeling with Quadratic Functions (Video Lesson)
End-of-Module Assessment

Topics and Objectives (Module 5)
Elements of Modeling

Module 5 Overview

Topic A Overview

Lesson 1: Analyzing a Graph (Video Lesson)

Lesson 2: Analyzing a Data Set (Video Lesson)

Lesson 3: Analyzing a Verbal Description (Video Lesson)
Completing the Modeling Cycle

Topic B Overview

Lesson 4: Modeling a Context from a Graph (Video Lesson)

Lesson 5: Modeling from a Sequence (Video Lesson)

Lesson 6, Lesson 7: Modeling a Context from Data (Video Lesson) (Video Lesson)

Lesson 8, Lesson 9: Modeling a Context from a Verbal Description (Video Lesson) (Video Lesson)
End-of-Module Assessment

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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