common core math worksheets algebra 1

Free Printable Math Worksheets for Algebra 1

Created with infinite algebra 1, stop searching. create the worksheets you need with infinite algebra 1..

• Fast and easy to use
• Multiple-choice & free-response
• Never runs out of questions
• Multiple-version printing

Free 14-Day Trial

• Writing variable expressions
• Order of operations
• Evaluating expressions
• Number sets
• Adding rational numbers
• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers
• The distributive property
• Combining like terms
• Percent of change
• One-step equations
• Two-step equations
• Multi-step equations
• Absolute value equations
• Solving proportions
• Percent problems
• Distance-rate-time word problems
• Mixture word problems
• Work word problems
• Literal Equations
• Graphing one-variable inequalities
• One-step inequalities
• Two-step inequalities
• Multi-step inequalities
• Compound inequalities
• Absolute value inequalities
• Discrete relations
• Continuous relations
• Evaluating and graphing functions
• Finding slope from a graph
• Finding slope from two points
• Finding slope from an equation
• Graphing lines using slope-intercept form
• Graphing lines using standard form
• Writing linear equations
• Graphing linear inequalities
• Graphing absolute value equations
• Direct variation
• Solving systems of equations by graphing
• Solving systems of equations by elimination
• Solving systems of equations by substitution
• Systems of equations word problems
• Graphing systems of inequalities
• Discrete exponential growth and decay word problems
• Exponential functions and graphs
• Writing numbers in scientific notation
• Operations with scientific notation
• Addition and subtraction with scientific notation
• Naming polynomials
• Adding and subtracting polynomials
• Multiplying polynomials
• Multiplying special case polynomials
• Factoring special case polynomials
• Factoring by grouping
• Dividing polynomials
• Graphing quadratic inequalities
• Completing the square
• By taking square roots
• By factoring
• With the quadratic formula
• By completing the square
• Simplifying radicals
• Adding and subtracting radical expressions
• Multiplying radicals
• Dividing radicals
• Using the distance formula
• Using the midpoint formula
• Simplifying rational expressions
• Finding excluded values / restricted values
• Multiplying rational expressions
• Dividing rational expressions
• Adding and subtracting rational expressions
• Finding trig. ratios
• Finding angles of triangles
• Finding side lengths of triangles
• Visualizing data
• Center and spread of data
• Scatter plots
• Using statistical models

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

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.

Algebra Worksheets

• Variable Values
• Expressions
• Coordinate Planes
• Using Formulas
• Kindergarten

Algebra 1 Worksheets

Free, Printable Algebra 1 Math Worksheets for at-home practice

The Parent's Guide to Algebra 1 Math + Practice Worksheets

Download this informative guide to learn how to best support your child as they learn and master important Algebra 1 concepts

Free Practice Worksheets

Choose a Grade

Click on a concept below to try a sample question

Algebra Foundations

Polynomials, functions and relations, systems of equations and inequalities, exponential functions, expressions.

Inequalities and Absolute Value

Quadratic equations, probability and data analysis, why algebra 1 math worksheets are important.

A stated objective of Common Core State Standards (CCSS) is to standardize academic guidelines nationwide. In other words, what Algebra 1 students learn in math in one state should be the same as what students of the same age are learning in another state. The curricula may vary between these two states, but the general concepts behind them are similar. This approach is intended to replace wildly differing guidelines among different states, thus eliminating (in theory) inconsistent test scores and other metrics that gauge student success.

An increased focus on math would seem to include a wider variety of topics and concepts being taught at every grade level, including Algebra 1. However, CCSS actually calls for fewer topics at each grade level. The Common Core approach (which is clearly influenced by “Singapore Math”—an educational initiative that promotes mastery instead of memorization) goes against many state standards. Many states mandate a “mile-wide, inch-deep” curriculum in which children are taught so much in a relatively short time span, that they aren’t effectively becoming proficient in the concepts they truly need to understand to succeed at the next level. Hence, CCSS works to establish an incredibly thorough foundation not only for the math concepts in future grades, but also toward practical application for a lifetime.

For Algebra 1, Common Core’s focus is on helping students develop the skills required to formulate and reason about expressions and equations. Students learn to represent a situation with a linear equation and solve real-world problems using linear equations and systems of linear equations. Students also learn to model quantitative relationships in the real-world using functions, analyze two and three-dimensional space and figures, and apply the Pythagorean Theorem.

How Our Algebra 1 Problems Reflect Common Core Standards

Thinkster Algebra 1 worksheets are aligned to the common core state standards. These worksheets help students extend their understanding of different types of functions, for example, linear piecewise, absolute value, step functions, quadratic functions, and exponential functions. These worksheets cater to the primary goal of CCSS, which is to help students develop a deep understanding of the features of functions so that they can be analyzed graphically and algebraically, and used to model and solve problems in the real-world.

Algebra 1 Math Worksheets: Critical Areas of Focus

In Algebra 1, some concepts require greater emphasis than others based on the depth of the cluster and the time that students take to master. Concepts learned in Algebra 1 are important to future mathematics, and they cater to the demands of college and career readiness. Here are two critical areas that Common Core brings to Algebra 1 math:

Students use reasoning to define and make sense of rational exponents and explore the rational and real number systems’ algebraic structure. They understand that numbers in real-world applications often have units (quantities). Students explore the structure of algebraic expressions and polynomials and see that certain properties must persist when they work with expressions. These properties are meant to represent numbers, which they learn to write in abstract form using variables.

Students refine techniques for solving equations and finding the solution set and clearly explain the algebraic steps they used to do so.

Equations & Inequalities

Students extend their previous knowledge of linear equations to work with absolute value equations, linear inequalities, and systems of linear equations. Students learn a more precise definition of functions and examine this in the context of linear equations. They continue to build their understanding of functions beyond linear ones by investigating tables, graphs, and equations built on their previous understanding of numbers and expressions.

Students make connections between different representations of the same function. They also learn to build functions in a modeling context and solve problems related to the resulting functions. The focus is on linear, simple exponential, and quadratic equations.

Overview of Algebra 1 Math Topics

Seeing Structure in Expressions

• Interpret the structure of expressions Students will learn how to interpret expressions that represent a quantity in terms of its context. This includes interpreting parts of an expression, such as terms, factors, and coefficients, and interpreting complicated expressions by viewing one or more of their parts as a single entity. Students will also learn how to use the structure of an expression to identify ways to rewrite it.

• Write expressions in equivalent forms to solve problems Students will learn how to choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. They will be able to factor a quadratic expression to reveal the zeros of the function it defines. They will also learn to complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines; use the properties of exponents to transform expressions for exponential functions. Students will learn to derive the formula for the sum of a finite geometric series (when the common ratio is not 1) and use the formula to solve problems.

Arithmetic with Polynomials and Rational Functions

• Perform arithmetic operations on polynomials Students will learn to understand that polynomials form a system analogous to the integers; namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

• Understand the relationship between zeros and factors of polynomials Students will learn and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x - a is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x). They will also be able to identify zeros of polynomials when suitable factorizations are available, and learn how to use the zeros to construct a rough graph of the function defined by the polynomial.

• Rewrite rational functions Students will learn how to rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system. They will understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

Creating Equations

• Create equations that describe numbers or relationships Students will learn how to create equations and inequalities in one variable and use them to solve problems. This includes equations arising from linear and quadratic functions and simple rational and exponential functions. Students will learn how to create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Students will learn how to represent constraints by equations or inequalities and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. They also learn how to rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Reasoning with Equations and Inequalities

• Understand solving equations as a process of reasoning and explain the reasoning Students will learn how to explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. They will also learn to solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

• Solve equations and inequalities in one variable Students will learn how to solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Students will learn how to solve quadratic equations in one variable. This includes using the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)² = q that has the same solutions (Derive the quadratic formula from this form). They also learn to solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation.

• Solve systems of equations Students will learn how to prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Students learn to solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Students will learn to solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x² + y² = 3.

• Represent and solve equations and inequalities graphically Students will understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Students will learn how to explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

Tips for Helping Your Algebra 1 Student with These Algebra 1 Problems

Some of parents’ trepidation with Common Core isn’t so much with the guidelines themselves, but with the testing now aligned with CCSS via local math curricula. Fortunately, CCSS does not have to be that stressful for you or your Algebra 1 student. Here are some tips to help your children succeed with Common Core math:

Be informed; be involved

If Common Core concerns you, intrigues you, or confuses you, don’t hesitate to learn as much about it—in your child’s classroom, at your kids’ school, and on a national level. Talk with teachers, principals, and other parents. Seek advice on how you can help your kids and yourself navigate CCSS math. If you want to take further action, become involved with PTA or other organizations and committees that deal with your school’s curriculum. The more you know, the more, ultimately, you can help your child.

Live them some real-world math

A basic tenet of Common Core is to apply math principles to real-world situations. Why not start now? Your Algebra 1 student might struggle with understanding quadratic equations. Let your child know that quadratic equations describe the curved path that a soccer ball takes when it is thrown. Emphasize that diving from a platform and shooting a cannon are examples of situations that can be modeled using quadratic equations.

Take time to learn what they are learning

Solve problems with your Algebra 1 student. Your child will be motivated to learn when you show interest in tackling problems together. Take help from a tutor or online math learning platform to brainstorm strategies to break up a problem into smaller steps to solve them easily.

Encourage them to practice

You can help your Algebra 1 student practice new concepts at home. There are many puzzles that an Algebra 1 student can solve that involve equations and inequalities. Students can learn to enjoy Algebra by solving puzzles. This exercise will help your child solve more complex equations and inequalities.

Embrace mathEmbrace math

Many parents believe that math is a difficult subject to grasp. Research shows that a child’s math scores improve when parents embrace math and encourage their child to practice it in their everyday life. A child’s performance in math is adversely impacted when parents suffer from math anxiety and express that using negative statements about math.

Seek more help if necessary

If your Algebra 1 student is struggling with math, talk with his or her teacher first. You then might want to seek outside resources to help your child. Several online resources provide math help, including worksheets and sample tests that conform to Common Core standards. Tutoring might be an option you consider as well. Innovative iPad-based math programs have emerged that combine the personalized approach of a tutor with today’s technology. This revolutionary approach also may feature a curriculum based on Common Core, thus ensuring your child’s learning at home is aligned with what he or she is learning at school.

Thinkster is the Only Math Tutoring Program That GUARANTEES Results.

See up to a 90% Improvement in Math Scores Within 3 Months.

Common Core Mapping for High School: Algebra

Related Topics: Common Core for Mathematics Common Core Lesson Plans and Worksheets Algebra I

Algebra Overview

Seeing Structure in Expressions Interpret the structure of expressions Write expressions in equivalent forms to solve problems

Arithmetic with Polynomials and Rational Functions Perform arithmetic operations on polynomials Understand the relationship between zeros and factors of polynomials Use polynomial identities to solve problems Rewrite rational functions

Creating Equations Create equations that describe numbers or relationships

Reasoning with Equations and Inequalities Understand solving equations as a process of reasoning and explain the reasoning Solve equations and inequalities in one variable Solve systems of equations Represent and solve equations and inequalities graphically

Seeing Structure in Expressions

Arithmetic with Polynomials and Rational Expressions

Creating Equations

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

• Get started
• Pre-Algebra

A quicker path to better grades

We have gathered all your curriculum-based courses, assignments, hints, tests, and solutions in one easy-to-use place

• Integrated I
• Integrated II
• Integrated III

Can't find your textbook?

More math. less studying.

A personal private tutor for each student. Free from preassure and study anxiety.

• Find your textbook
• Math Solver

• Big Ideas Math Algebra 1, 2015

• Big Ideas Math Algebra 1, 2013

• Big Ideas Math Algebra 1 Virginia

• Big Ideas Math Algebra 1 Texas

• Big Ideas Math Algebra 1 A Bridge to Success

• Core Connections Algebra 1, 2013

• Houghton Mifflin Harcourt Algebra 1, 2015

• Holt McDougal Algebra 1, 2011

• McDougal Littell Algebra 1, 1999

• McGraw Hill Glencoe Algebra 1, 2012

• McGraw Hill Glencoe Algebra 1, 2017

• McGraw Hill Glencoe Algebra 1 Texas, 2016

• Pearson Algebra 1 Common Core, 2011

• Pearson Algebra 1 Common Core, 2015

Algebra Worksheets

• Kindergarten

• + ACCUPLACER Mathematics
• + ACT Mathematics
• + AFOQT Mathematics
• + ALEKS Tests
• + ASVAB Mathematics
• + ATI TEAS Math Tests
• + Common Core Math
• + DAT Math Tests
• + FSA Tests
• + FTCE Math
• + GED Mathematics
• + Georgia Milestones Assessment
• + GRE Quantitative Reasoning
• + HiSET Math Exam
• + HSPT Math
• + ISEE Mathematics
• + PARCC Tests
• + Praxis Math
• + PSAT Math Tests
• + PSSA Tests
• + SAT Math Tests
• + SBAC Tests
• + SIFT Math
• + SSAT Math Tests
• + STAAR Tests
• + TABE Tests
• + TASC Math
• + TSI Mathematics
• + ACT Math Worksheets
• + Accuplacer Math Worksheets
• + AFOQT Math Worksheets
• + ALEKS Math Worksheets
• + ASVAB Math Worksheets
• + ATI TEAS 6 Math Worksheets
• + FTCE General Math Worksheets
• + GED Math Worksheets
• + 3rd Grade Mathematics Worksheets
• + 4th Grade Mathematics Worksheets
• + 5th Grade Mathematics Worksheets
• + 6th Grade Math Worksheets
• + 7th Grade Mathematics Worksheets
• + 8th Grade Mathematics Worksheets
• + 9th Grade Math Worksheets
• + HiSET Math Worksheets
• + HSPT Math Worksheets
• + ISEE Middle-Level Math Worksheets
• + PERT Math Worksheets
• + Praxis Math Worksheets
• + PSAT Math Worksheets
• + SAT Math Worksheets
• + SIFT Math Worksheets
• + SSAT Middle Level Math Worksheets
• + 7th Grade STAAR Math Worksheets
• + 8th Grade STAAR Math Worksheets
• + THEA Math Worksheets
• + TABE Math Worksheets
• + TASC Math Worksheets
• + TSI Math Worksheets
• + AFOQT Math Course
• + ALEKS Math Course
• + ASVAB Math Course
• + ATI TEAS 6 Math Course
• + CHSPE Math Course
• + FTCE General Knowledge Course
• + GED Math Course
• + HiSET Math Course
• + HSPT Math Course
• + ISEE Upper Level Math Course
• + SHSAT Math Course
• + SSAT Upper-Level Math Course
• + PERT Math Course
• + Praxis Core Math Course
• + SIFT Math Course
• + 8th Grade STAAR Math Course
• + TABE Math Course
• + TASC Math Course
• + TSI Math Course
• + Number Properties Puzzles
• + Algebra Puzzles
• + Geometry Puzzles
• + Intelligent Math Puzzles
• + Ratio, Proportion & Percentages Puzzles
• + Other Math Puzzles

The Ultimate Common Core Algebra 1 Course (+FREE Worksheets)

Searching for an online course to excel in the Common Core Algebra 1 test? You're in the right place! Our all-inclusive online course offers an extensive review of the vital concepts required for the Common Core Algebra 1 exam, ensuring your success.

Whether you’re struggling with linear equations, quadratic functions, or systems of equations, our course has everything you need to succeed.

Our experienced instructors will guide you through each topic in a clear and concise manner, breaking down complex concepts into easy-to-understand parts.

What sets our online course apart is the variety of learning materials we provide. From interactive video lessons to practice problems and quizzes, we’ve got you covered from start to finish. You can learn at your own pace and track your progress along the way.

With our online course, you can be confident that you are getting the best possible preparation for the Common Core Algebra 1 test.

Join the many students who have already succeeded with our course and get ready to ace the exam!

The Absolute Best Book to Ace Common Core Algebra 1

Common Core Algebra I for Beginners The Ultimate Step by Step Guide to Acing Common Core Algebra I

Common core algebra i mathematics complete course, integers and order of operations.

• Adding and Subtracting Integers 
• Multiplying and Dividing Integers
• Translate Phrases into an Algebraic Statement
• Order of Operations
• Integers and Absolute Value
• Proportional Ratios
• Similarity and Ratios
• Percent Problems
• Percent of Increase and Decrease
• Discount, Tax, and Tip
• Simple Interest
• The Distributive Property
• Approximating Irrational Numbers

Exponents and Variables

• Multiplication Property of Exponents
• Division Property of Exponents
• Zero and Negative Exponents
• Powers of Products and Quotients
• Negative Exponents and Negative Bases
• Scientific Notation
• Addition and Subtraction in Scientific Notation
• Multiplication and Division in Scientific Notation

Expressions and Equations

• Simplifying Variable Expressions 
• Evaluating One Variable
• Evaluating Two Variables
• One-Step Equations
• Multi-Step Equation
• Finding Midpoint
• Finding Distance of Two Points 

Linear Functions 

• Point-Slope Form 
• Finding Slope
• Writing Linear Equations
• Graphing Linear Inequalities
• Finding the x-Intercept
• Finding the y-Intercept
• Write an Equation from a Graph
• Properties of the Horizontal Line
• Properties of the Vertical Lines
• Parallel and Perpendicular Lines

Inequalities and System of Equations

• One-Step Inequalities
•   Multi-Step Inequalities
• Linear Inequalities
• Systems of Equations
• Systems of Equations with Substitution
• Systems of Equations Word Problems
• Number of Solutions in a System of Equations
• Systems of Linear Inequalities

Another best Book to Review the Common Core Algebra 1

Algebra I Practice Workbook The Most Comprehensive Review of Algebra 1

Quadratic functions and equations.

• Quadratic Function
• Solving a Quadratic Equation
• Graphing Quadratic Functions
• Solving a Quadratic Equation by Completing the Square
• Solving a Quadratic Equation by Factoring
• Finding Discriminant of Quadratic Equation
• Transformations of Quadratic Equations

Polynomials

• Simplifying Polynomials
• Adding and Subtracting Polynomials
• Multiplying Monomials
• Multiplying and Dividing Monomials
• Multiplying a Polynomial and a Monomial
• Multiplying Binomials
• Factoring Trinomials
• Factoring Polynomials  
• Perfect Square Trinomial

Functions Operations

• Function Notation
• Adding and Subtracting Functions
• Multiplying and Dividing Functions 
• Composition of Functions
• Function Inverses
• Average Rate of Change of a Function
• Finding Domain and Range
• Increasing and Decreasing Functions
• Maxima and Minima of a Function  

Radical Expressions

• Simplifying Radical Expressions
• Adding and Subtracting Radical Expressions
• Multiplying Radical Expressions 
• Rationalizing Radical Expressions
• Radical Equations 
• Domain and Range of Radical Functions

Rational Expressions

• Simplifying Complex Fractions
• Graphing Rational Functions 
• Adding and Subtracting Rational Expressions
• Multiplying Rational Expressions
• Dividing Rational Expressions

Statistics and Probabilities

• Mean, Median, Mode, and Range of the Given Data
• Scatter Plots
• Probability Problems
• Permutations and Combinations

Absolute Value and Piecewise Functions

• Solving Absolute value Equations
• Graphing Absolute Value Equations
• Solving Absolute Value Inequalities 
• Graphing Absolute Value Inequalities
• Piecewise Function
• Geometric Sequences
• Arithmetic Sequences

Working with Units

• Unit Rates and Rates
• Convert Units of Measurement
• Metric Units
• Exponential Growth and Decay

The Best Books to Ace the Common Core Algebra 1 Test

Pre-Algebra Practice Workbook The Most Comprehensive Review of Pre-Algebra

High school algebra i a comprehensive review and step-by-step guide to mastering high school algebra 1, algebra i for beginners the ultimate step by step guide to acing algebra i, algebra ii for beginners the ultimate step by step guide to acing algebra ii.

by: Effortless Math Team about 1 year ago (category: Blog )

Effortless Math Team

Related to this article, more math articles.

• Best Graphing Calculators for Business in 2024
• How to Find Discontinuities of Rational Functions?
• Using Decimals and Fractions to Solve One-Step Addition and Subtraction
• How to Use Arrays to Divide Two-Digit Numbers by One-digit Numbers
• 4th Grade GMAS Math Worksheets: FREE & Printable
• 8th Grade M-STEP Math Worksheets: FREE & Printable
• Addition of 3-Digit Numbers
• How is the ASTB Test Scored?
• Top 10 Tips You MUST Know to Retake the ASVAB Math
• Stand-Up Desks for Teachers and Students

What people say about "The Ultimate Common Core Algebra 1 Course (+FREE Worksheets) - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

Leave a Reply Cancel reply

You must be logged in to post a comment.

Algebra II Practice Workbook The Most Comprehensive Review of Algebra 2

• ATI TEAS 6 Math
• ISEE Upper Level Math
• SSAT Upper-Level Math
• Praxis Core Math
• 8th Grade STAAR Math

Limited time only!

Save Over 45 %

It was $89.99 now it is $49.99

Login and use all of our services.

Effortless Math services are waiting for you. login faster!

Register Fast!

Password will be generated automatically and sent to your email.

After registration you can change your password if you want.

• Math Worksheets
• Math Courses
• Math Topics
• Math Puzzles
• Math eBooks
• GED Math Books
• HiSET Math Books
• ACT Math Books
• ISEE Math Books
• ACCUPLACER Books
• Premium Membership
• Youtube Videos

Effortless Math provides unofficial test prep products for a variety of tests and exams. All trademarks are property of their respective trademark owners.

• Bulk Orders
• Refund Policy

Office of State Assessment

• Foreign Languages
• Mathematics
• Social Studies
• Elementary and Intermediate

Regents Examination in Algebra I

• Translated Editions
• Algebra I Information

University of the State of New York - New York State Education Department

Common Core State Standards Initiative

Grade 1 » Operations & Algebraic Thinking

Standards in this domain:, represent and solve problems involving addition and subtraction., understand and apply properties of operations and the relationship between addition and subtraction., add and subtract within 20., work with addition and subtraction equations..

1 See Glossary, Table 1

2 Students need not use formal terms for these properties.

• Standards for Mathematical Practice
• How to read the grade level standards
• Introduction
• Counting & Cardinality
• Operations & Algebraic Thinking
• Number & Operations in Base Ten
• Measurement & Data
• Number & Operations—Fractions¹
• Number & Operations in Base Ten¹
• Number & Operations—Fractions
• Ratios & Proportional Relationships
• The Number System
• Expressions & Equations
• Statistics & Probability
• The Real Number System
• Quantities*
• The Complex Number System
• Vector & Matrix Quantities
• Seeing Structure in Expressions
• Arithmetic with Polynomials & Rational Expressions
• Creating Equations*
• Reasoning with Equations & Inequalities
• Interpreting Functions
• Building Functions
• Linear, Quadratic, & Exponential Models*
• Trigonometric Functions
• High School: Modeling
• Similarity, Right Triangles, & Trigonometry
• Expressing Geometric Properties with Equations
• Geometric Measurement & Dimension
• Modeling with Geometry
• Interpreting Categorical & Quantitative Data
• Making Inferences & Justifying Conclusions
• Conditional Probability & the Rules of Probability
• Using Probability to Make Decisions
• Courses & Transitions
• Mathematics Glossary
• Mathematics Appendix A