Common Core Algebra I Math (Worksheets, Homework, Lesson Plans)
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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.
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Algebra I Homework, Lesson Plans and Worksheets
Topics and Objectives (Module 1) |
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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 ( ) |
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Topics and Objectives (Module 2) |
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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) |
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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 ( ) |
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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 ( ) |
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Topics and Objectives (Module 4) |
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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) |
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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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Algebra 1 - Arithmetic sequences
Algebra 1 – arithmetic sequences.
Arithmetic sequences is a part of syllabus in algebra 1 (second math course), which finds application in many algebra questions including algebra word problems. An arithmetic progression (AP) or arithmetic sequence is a sequence of numbers, whose consecutive numbers differ by a constant. When n terms of an arithmetic sequence are added, you get arithmetic series. Arithmetic series formula is given by : sum = n/2 (a + l) where a is the 1st term and l is the last term. Learn more about Arithmetic sequences using the resources on this page.
The apps, sample questions, videos and worksheets listed below will help you learn Arithmetic Sequences.
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What is a recursive formula for an arithmetic sequence.
Recursive formula: This sequence is neither arithmetic nor geometric. It does, however, have a pattern of development based upon each previous term. Notice how the value of n is used as the exponent for the value (-1).
How do you find the nth term of a sequence?
Imagine we want to find a formula for the nth term of this sequence: 7, 11, 15, 19, 23, … We can see that the terms in this sequence go up by 4 each time, so 4n must appear in the formula. The sequence generated by the formula 4n is the four times table, but it isn’t quite the sequence we want: 4n sequence:
What is the recursive formula?
A recursive formula designates the starting term, a1, and the nth term of the sequence, an , as an expression containing the previous term (the term before it), an-1. The process of recursion can be thought of as climbing a ladder.
How do you find the common ratio of a geometric sequence?
To find the common ratio, divide the second term by the first term. Notice the non-linear nature of the scatter plot of the terms of a geometric sequence. The domain consists of the counting numbers 1, 2, 3, 4, … and the range consists of the terms of the sequence.
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Find step-by-step solutions and answers to Algebra 1 Common Core - 9780133185485, as well as thousands of textbooks so you can move forward with confidence. ... Section 1-8: An Introduction to Equations. Section 1-9: Patterns, Equations, and Graphs. Page 68: Chapter Review. ... Geometric Sequences. Page 474: Chapter Review. Page 479: Chapter ...
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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)=ax 2 +bx+c ( Video Lesson) Function Transformations and Modeling. Topic C Overview. Lesson 18: Graphing Cubic, Square Root, and Cube Root Functions.
Find step-by-step solutions and answers to Algebra 1 Common Core - 9780547647036, as well as thousands of textbooks so you can move forward with confidence. ... Section 9-1: Geometric Sequences. Section 9-2: Exponential Functions. Section 9-3: Exponential Growth and Decay. Section 9-4: Linear, Quadratic, and Exponential Models. Section 9-5 ...
In this lesson we introduce the concept of a sequences, give various examples of their notation, and discuss how they can be defined recursively. To access t...
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COMMON CORE ALGEBRA I HOMEWORK 2. 3. NCY I entify the greatest common facto or each of the following sets of monomials. (a) 6x2 and 24x3 (d) 2x3, 6x2, and 12x (b) 5x and 10x2 (e) 1 t2, 48t, and 80 (c) 2x4 and 10x2 (f) 8t5, 12t3, and 16t Which of the following is the greatest common factor of the terms 36x y and 24xy7 ? (l) 12xy4 (2) 24x2y7 (3) 6x y
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CHAPTER 2 WORKSHEETS. F ractions Review WS # 1 (Solns on back of WS) 2-1 Solving One-Step Equation s. 2-2 Solving Two-Step Equations. 2-3 Solving Multi-Step Equations . 2- 4 Solving Equations with Variables on Both Sides ( SOLUTIONS) 2-5 Literal Equations and Formulas. 2-6 Ratios, Rates, and Conversions ( SOLUTIONS)
a transformation that makes a function wider or narrower than the parent function the expression under the radical sign in the quadratic formula, b2- 4ac. a function of the form yx=ab, where a≠ 0, b> 0, and b≠ 1 the ratio of two consecutive terms in a geometric sequence. Active Vocabulary.
Simply tap on the respective chapter and prepare whichever topic you feel difficult and allot time accordingly. Chapter 1 Solving Linear Equations. Chapter 2 Solving Linear Inequalities. Chapter 3 Graphing Linear Functions. Chapter 4 Writing Linear Functions. Chapter 5 Solving Systems of Linear Equations.
Unit 6 - Exponents, Exponents, Exponents and More Exponents. This unit begins with a fundamental treatment of exponent rules and the development of negative and zero exponents. We then develop the concepts of exponential growth and decay from a fraction perspective. Finally, percent work allows us to develop growth models based on constant ...
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In this lesson we look at arithmetic sequences. Their recursive definition is stressed along with the pattern used to predict the nth term given the first an...
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Arithmetic sequences is a part of syllabus in algebra 1 (second math course), which finds application in many algebra questions including algebra word problems. An arithmetic progression (AP) or arithmetic sequence is a sequence of numbers, whose consecutive numbers differ by a constant. When n terms of an arithmetic sequence are added, you get ...
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