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Go Math Answer Key for Grade K, 1, 2, 3, 4, 5, 6, 7, and 8

Go Math Answer Key:  HMH Go Math Answer Key for Grade K, 1, 2, 3, 4, 5, 6, 7, and 8 are provided helps students to have learning targets and achieve success at chapter and lesson level and makes learning visible.

Download Go Math Answer Key for Grades K-8 | HMH Go Math Solution Key for Grades Kindergarten, 1, 2, 3, 4, 5, 6, 7, 8

All the Concepts in the CCSS Go Math Answer Key for Grades Kindergarten, 1, 2, 3, 4, 5, 6, 7, 8 are given with straightforward and detailed descriptions.

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Free Download Go Math Answer Key from Kindergarten to 8th Grade

Students can find Go Math Answer Keys right from  Primary School to High School all in one place. You just need to tap on the quick links available in order to access them and learn all the Chapters in each grade. Once you tap on the quick link you will be directed to the respective Grade Solutions Key wherein you can access the complete information. You can find Solutions for all the Go Math Textbook Questions free of cost and we don’t charge any amount.

• Go Math Kindergarten Answer Key

Go Math Grade 1 Answer Key

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Go Math Grade 8 Answer Key

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Go Math Grade K Answer Key

• Chapter 1 Represent, Count, and Write Numbers 0 to 5
• Chapter 2 Compare Numbers to 5
• Chapter 3 Represent, Count, and Write Numbers 6 to 9
• Chapter 4 Represent and Compare Numbers to 10
• Chapter 5 Addition
• Chapter 6 Subtraction
• Chapter 7 Represent, Count, and Write 11 to 19
• Chapter 8 Represent, Count, and Write 20 and Beyond
• Chapter 9 Identify and Describe Two-Dimensional Shapes
• Chapter 10 Identify and Describe Three-Dimensional Shapes
• Chapter 11 Measurement
• Chapter 12 Classify and Sort Data
• Chapter 1 Addition Concepts
• Chapter 2 Subtraction Concepts
• Chapter 3 Addition Strategies
• Chapter 4 Subtraction Strategies
• Chapter 5 Addition and Subtraction Relationships
• Chapter 6 Count and Model Numbers
• Chapter 7 Compare Numbers
• Chapter 8 Two-Digit Addition and Subtraction
• Chapter 9 Measurement
• Chapter 10 Represent Data
• Chapter 11 Three-Dimensional Geometry
• Chapter 12 Two-Dimensional Geometry
• Chapter 1 Number Concepts
• Chapter 2 Numbers to 1,000
• Chapter 3 Basic Facts and Relationships
• Chapter 4 2-Digit Addition
• Chapter 5 2-Digit Subtraction
• Chapter 6 3-Digit Addition and Subtraction
• Chapter 7 Money and Time
• Chapter 8 Length in Customary Units
• Chapter 9 Length in Metric Units
• Chapter 10 Data
• Chapter 11 Geometry and Fraction Concepts

Grade 3 HMH Go Math – Answer Keys

• Chapter 1: Addition and Subtraction within 1,000
• Chapter 2: Represent and Interpret Data
• Chapter 3: Understand Multiplication
• Chapter 4: Multiplication Facts and Strategies
• Chapter 5: Use Multiplication Facts
• Chapter 6: Understand Division
• Chapter 7: Division Facts and Strategies
• Chapter 8: Understand Fractions
• Chapter 9: Compare Fractions
• Chapter 10: Time, Length, Liquid Volume, and Mass
• Chapter 11: Perimeter and Area
• Chapter 12:Two-Dimensional Shapes

Grade 3 HMH Go Math – Extra Practice Questions and Answers

• Chapter 1: Addition and Subtraction within 1,000 Extra Practice
• Chapter 2: Represent and Interpret Data Extra Practice
• Chapter 3: Understand Multiplication Extra Practice
• Chapter 4: Multiplication Facts and Strategies Extra Practice
• Chapter 5: Use Multiplication Facts Extra Practice
• Chapter 6: Understand Division Extra Practice
• Chapter 7: Division Facts and Strategies Extra Practice
• Chapter 8: Understand Fractions Extra Practice
• Chapter 9: Compare Fractions Extra Practice
• Chapter 10: Time, Length, Liquid Volume, and Mass Extra Practice
• Chapter 11: Perimeter and Area Extra Practice
• Chapter 12: Two-Dimensional Shapes Extra Practice

Common Core Grade 4 HMH Go Math – Answer Keys

• Chapter 1 Place Value, Addition, and Subtraction to One Million
• Chapter 2 Multiply by 1-Digit Numbers
• Chapter 3 Multiply 2-Digit Numbers
• Chapter 4 Divide by 1-Digit Numbers
• Chapter 5 Factors, Multiples, and Patterns
• Chapter 6 Fraction Equivalence and Comparison
• Chapter 7 Add and Subtract Fractions
• Chapter 8 Multiply Fractions by Whole Numbers
• Chapter 9 Relate Fractions and Decimals
• Chapter 10 Two-Dimensional Figures
• Chapter 11 Angles
• Chapter 12Relative Sizes of Measurement Units
• Chapter 13 Algebra: Perimeter and Area

Grade 4 Homework Practice FL.

Common Core – Grade 4 – Practice Book

• Chapter 1 Place Value, Addition, and Subtraction to One Million  (Pages 1- 20)
• Chapter 2 Multiply by 1-Digit Numbers  (Pages 21 – 47)
• Chapter 3 Multiply 2-Digit Numbers  (Pages 49- 65)
• Chapter 4 Divide by 1-Digit Numbers  (Pages 67 – 93)
• Chapter 5 Factors, Multiples, and Patterns  (Pages 95 – 109)
• Chapter 6 Fraction Equivalence and Comparison  (Pages 111 – 129)
• Chapter 7 Add and Subtract Fractions  (Pages 131 – 153)
• Chapter 8 Multiply Fractions by Whole Numbers  (Pages 155- 167)
• Chapter 9 Relate Fractions and Decimals  (Pages 169- 185)
• Chapter 10 Two-Dimensional Figures  (Pages 187- 204)
• Chapter 11 Angles  (Pages 205- 217)
• Chapter 12 Relative Sizes of Measurement Units  (Pages 219- 244)
• Chapter 13 Algebra: Perimeter and Area  (Pages 245- 258)

Grade 4 Homework FL. – Answer Keys

• Chapter 2 Multiply by 1-Digit Numbers Review/Test
• Chapter 3 Multiply 2-Digit Numbers Review/Test
• Chapter 4 Divide by 1-Digit Numbers Review/Test
• Chapter 5 Factors, Multiples, and Patterns Review/Test
• Chapter 6 Fraction Equivalence and Comparison Review/Test
• Chapter 7 Add and Subtract Fractions Review/Test
• Chapter 8 Multiply Fractions by Whole Numbers Review/Test
• Chapter 9 Relate Fractions and Decimals Review/Test
• Chapter 10 Two-Dimensional Figures Review/Test
• Chapter 11 Angles Review/Test
• Chapter 12 Relative Sizes of Measurement Units Review/Test
• Chapter 13 Algebra: Perimeter and Area Review/Test
• Chapter 1: Place Value, Multiplication, and Expressions
• Chapter 2: Divide Whole Numbers
• Chapter 3: Add and Subtract Decimals
• Chapter 4: Multiply Decimals
• Chapter 5: Divide Decimals
• Chapter 6: Add and Subtract Fractions with Unlike Denominators
• Chapter 7: Multiply Fractions
• Chapter 8: Divide Fractions
• Chapter 9: Algebra: Patterns and Graphing
• Chapter 10: Convert Units of Measure
• Chapter 11: Geometry and Volume
• Chapter 1: Divide Multi-Digit Numbers
• Chapter 2: Fractions and Decimals
• Chapter 3: Understand Positive and Negative Numbers
• Chapter 4: Model Ratios
• Chapter 5: Model Percents
• Chapter 6: Convert Units of Length
• Chapter 7: Exponents
• Chapter 8: Solutions of Equations
• Chapter 9: Independent and Dependent Variables
• Chapter 10: Area of Parallelograms
• Chapter 11: Surface Area and Volume
• Chapter 12: Data Displays and Measures of Center
• Chapter 13: Variability and Data Distributions

Go Math Answer Key for Grade 7

• Chapter 1: Adding and Subtracting Integers
• Chapter 2: Multiplying and Dividing Integers
• Chapter 3: Rational Numbers
• Chapter 4: Rates and Proportionality
• Chapter 5: Percent Increase and Decrease
• Chapter 6: Algebraic Expressions
• Chapter 7: Writing and Solving One-Step Inequalities
• Chapter 8: Modeling Geometric Figures
• Chapter 9: Circumference, Area, and Volume
• Chapter 10: Random Samples and Populations
• Chapter 11: Analyzing and Comparing Data
• Chapter 12: Experimental Probability
• Chapter 13: Theoretical Probability and Simulations
• Chapter 1 Real Numbers
• Chapter 2 Exponents and Scientific Notation
• Chapter 3 Proportional Relationships
• Chapter 4 Nonproportional Relationships
• Chapter 5 Writing Linear Equations
• Chapter 6 Functions
• Chapter 7 Solving Linear Equations
• Chapter 8 Solving Systems of Linear Equations
• Chapter 9 Transformations and Congruence
• Chapter 10 Transformations and Similarity
• Chapter 11 Angle Relationships in Parallel Lines and Triangles
• Chapter 12 The Pythagorean Theorem
• Chapter 13 Volume
• Chapter 14 Scatter Plots
• Chapter 15 Two-Way Tables

Give your kid the right amount of knowledge he needs as a part of your preparation by taking the help of our HMH Go Math Answer Key for Grades K-8. Resolve all your queries and assess your preparation standard using the Common Core Go Math Solution Key.

Practicing from the Go Math Answer Key for Grades K to 8 will provide a grade by grade roadmap and prepares students for College Readiness. Gradewise HMH Go Math Answer Key provided will develop problem-solving skills among students thereby helping them to Think, Explore and Grow. The Diverse Opportunities provided helps Kids to master the content with engaging activities.

Characteristics of Go Math Answer Key for Grades K to 8

Go through the below-listed features of referring to the HMH Go Math Anwer Key for Grades K to 8. They are outlined as follows

• All the Go Math Answer Key for Grades K to 8 are easy to download and we don’t charge any penny from you.
• Step by Step Solutions provided in the HMH Go Math Practice Key is aligned as per the College and Career Expectations.
• Solving from the Math 101 Practice Key helps you inculcate Higher Order Thinking Skills and you can answer any Question from your Homework, Assessment, or Review Test.
• More Rigorous Content made available meets the Common Core State Standards Initiative.
• You can gain a deeper knowledge of mathematical concepts and find solutions to all the Questions from Go Math Textbooks for Grades K, 1, 2, 3, 4, 5, 6, 7, 8

FAQs on Common Core HMH Go Math Answer Key

1. When Can I use the Go Math Answer Key for Grades K-8?

You can use the HMH Go Math Answer Key for Grades K to 8 while practicing the Go Math Textbook Questions as a part of your Homework or Assessment and make the most out of them.

2. Is there any site that provides the Common Core Go Math Solutions Key for Grades K, 1, 2, 3, 4, 5, 6, 7, 8?

Yes, you can find Go Math Answer Key for Grades K, 1, 2, 3, 4, 5, 6, 7, 8 all in one place i.e. ccssmathanswers.com a trusted and reliable portal.

3. Can I download HMH Go Math Answer Key PDF for free?

Yes, you can download the HMH Math 101 Practice Key for free on our page via quick links available and we don’t charge any amount for it.

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High School Big Ideas Math Answers

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Engage NY Math Answer Key Pre K – 12

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GO Math! ® K–8

• Education Curriculum
• Elementary Mathematics
• GO Math! ® K–8

Elementary and Middle School Math Curriculum Grades K–8

GO Math!  K–8 offers an engaging and interactive approach to covering new state standards. Its seamless digital path and Write-in Student Edition ensure that students can access content at appropriate levels of depth and rigor.

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GO Math! in your classroom

• Harvard Research Report shows significant improvement in student achievement
• The Journal Readers' Choice Silver Award: Best Math Program & Formative Assessment
• Personalized & adaptive instruction with the Personal Math Trainer ® & HMH Player ®

HMH Player®, GO Math®, and Personal Math Trainer® and design are trademarks or registered trademarks of Houghton Mifflin Harcourt. 

Learn more about GO Math! from Glenn Barrington Middle School sixth graders in Tampa, Florida and Co-author Dr. Matt Larson.

Focused. Coherent. Rigorous

GO Math! ®  is the first K–8 math program written to fully support new standards. GO Math! provides teachers with in-depth instructional support , embedded Professional Development videos and tips, and a wealth of differentiated instruction resources to ensure the depth of instruction required for student success.

The Next-Generation Solution

GO Math! at both the elementary and middle school levels combines 21st-century educational technology with modern content, dynamic interactivities, and a variety of instructional videos to engage today’s digital natives. Every student is supported through the universal access features of the program as they learn to think critically and apply their math knowledge. Whether using the innovative Online Student Edition or Write-in Student Edition, students have all the resources they need to succeed.

Comprehensive Teacher Support

GO Math! supports teachers through every stage of their instruction, from planning and implementation to assessment and remediation. The Digital Teacher Experience gives teachers access to a full suite of instructional resources—online or offline—on a variety of mobile devices. The HMH Player ® app seamlessly merges technology with curriculum, culminating in an experience that elegantly leverages technology and award-winning HMH content—helping change the way you teach and how your students learn.

A Blended Approach to Instruction

We understand that classrooms and districts across the country are at different stages in the implementation of technology. While our new K–8 program features a strong digital system, it is also perfect for print or blended instruction, whether you are working with elementary- or secondary-level students. In other words, GO Math! is the perfect program with regards to curriculum and infrastructure. It meets you where you are and takes you where you want to be.

GO Math!® and HMH Player® are registered trademarks of Houghton Mifflin Harcourt.

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2015 revere awards finalist.

HMH ® is proud that GO Math! ® has been selected as a finalist for the 2015 REVERE awards. Distributed by the AAP’s Pre K–12 Learning Group, the awards identify and honor excellence in high-quality products that support teaching and learning.

GO Math! K–6 offers an engaging and interactive approach to covering new state standards. Its seamless digital path and Write-in Student Edition ensure that students can access content at appropriate levels of depth and rigor.

HMH® and GO Math!® are registered trademarks of Houghton Mifflin Harcourt.

Interactive Brochures

Experience GO Math! ® through an innovative Interactive Brochure! Watch GO Math! come alive with embedded interactive links. Sample videos, technology demonstrations, and more are just a click away! We have multiple options available to best meet your educational needs:

GO Math! K–6 Common Core Edition

Materials and content aligned to the Common Core State Standards

HMHCO.COM/GOMath15-OVERVIEW

GO Math! K–6 Standards Agnostic

Materials and content for non-Common Core schools and districts

hmhco.com/gomathstak6-overview

GO Math! K–6 Common Core

Middle School materials and content aligned to the Common Core State Standards

hmhco.com/GOMathMS-Overview

GO Math!® is a registered trademark of Houghton Mifflin Harcourt.

Dr. Edward B. Burger - Author

Edward B. Burger, Ph.D., is the president of Southwestern University, a former Francis Christopher Oakley Third Century Professor of Mathematics at Williams College, and a former vice provost at Baylor University. He has authored or coauthored more than 65 articles, books, and video series; delivered over 500 addresses and workshops throughout the world; and made more than 50 radio and television appearances. He is a Fellow of the American Mathematical Society and has earned many national honors, including the Robert Foster Cherry Award for Great Teaching in 2010. In 2012, Microsoft Education named him a “Global Hero in Education.”

Dr. Juli K. Dixon - Author

Juli K. Dixon, Ph.D., is a Professor of Mathematics Education at the University of Central Florida. She has taught mathematics in urban schools at the elementary, middle, secondary, and post-secondary levels. She is an active researcher and speaker with numerous publications and conference presentations. Key areas of focus are deepening teachers’ content knowledge and communicating and justifying mathematical ideas. She is a past chair of the NCTM Student Explorations in Mathematics Editorial Panel and member of the Board of Directors for the Association of Mathematics Teacher Educators.

Dr. Timothy D. Kanold - Author

Timothy D. Kanold, Ph.D., is an award-winning international educator, author, and consultant. He is a former superintendent and director of mathematics and science at Adlai E. Stevenson High School District 125 in Lincolnshire, Illinois. He is a past president of the National Council of Supervisors of Mathematics (NCSM) and the Council for the Presidential Awardees of Mathematics (CPAM). He has served on several writing and leadership commissions for NCTM during the past decade. He presents motivational professional development seminars with a focus on developing professional learning communities (PLCs) to improve the teaching, assessing, and learning of students. He has recently authored nationally recognized articles, books, and textbooks for mathematics education and school leadership, including What Every Principal Needs to Know about the Teaching and Learning of Mathematics .

Dr. Matthew R. Larson - Author

Matthew R. Larson, Ph.D.,  is currently the President of the National Council of Teachers of Mathematics. He will serve in this capacity for two years. He will then return to his position of K–12 mathematics curriculum specialist for the Lincoln Public Schools. He has served on the Board of Directors for the National Council of Teachers of Mathematics from 2010–2013.  He is a past chair of NCTM's Research Committee and was a member of NCTM's Task Force on Linking Research and Practice. He is the author of several books on implementing the Common Core Standards for Mathematics. He has taught mathematics at the secondary and college levels and held an appointment as an honorary visiting associate professor at Teachers College, Columbia University.

Steven J. Leinwand - Author

Steven J. Leinwand is a Principal Research Analyst at the American Institutes for Research (AIR) in Washington, D.C., and has over 30 years in leadership positions in mathematics education. He is past president of the National Council of Supervisors of Mathematics and served on the NCTM Board of Directors. He was also a mathematics consultant for the Connecticut State Department of Education. He is the author of numerous articles, books, and textbooks and has made countless presentations with topics including student achievement, reasoning, effective assessment, and successful implementation of standards.

Martha E. Sandoval-Martinez - Author

Martha E. Sandoval-Martinez is a mathematics instructor at El Camino College in Torrance, California. She was previously a Math Specialist at the University of California at Davis and former instructor at Santa Ana College, Marymount College, and California State University, Long Beach. In her current and former positions, she has worked extensively to improve fundamental pre-algebra and algebra skills in students who have historically struggled with mathematics.

Correlations

Common core.

Correlation Guides indicate where—and in many cases how—the Common Core State Standards are addressed in the program. Download a PDF to see specifics at a particular grade level.

Elementary Program

Grade K (1.6 MB)

Grade 1 (0.9 MB)

Grade 2 (1 MB)

Grade 3 (1.1 MB)

Grade 4 (1.1 MB)

Grade 5 (1.1 MB)

Grade 6 (961 KB)

Middle School Program

Grade 6 (742 KB)

Grade 7 (729 KB)

Grade 8 (723 KB)

Accelerated 7 (549 KB)

Algebra 1: ACE (217 KB)

Research: Evidence & Efficacy

Go math k–6.

GO Math! ®  Pre-test/Post-test full-year study (2016)

This study examines the effect of GO Math! on student achievement, including differential effects, for students in grades 2-4.

GO Math!  Randomized Control Trial—Year 1 Report (2014)

Initial findings from this two-year, gold standard study highlight the differential impact of GO Math! on student achievement versus a randomized control group.

GO Math! Florida Quasi—Experimental Efficacy Report (2011)

Results of a quasi-experimental study evaluating the growth of GO Math! students overall, and relative to a control group.

GO Math! Case Study—Cummings Elementary, MA (2012)

Read about how elementary school students in this suburban school district improved their math proficiency with GO Math! in the 2010–2011 school year.

GO Math! 6–8

GO Math! Middle School Field Test (2013)

This first evaluation of our new middle school GO Math! program summarizes the student achievement growth seen through use of the program during a 2013 field test.

GO Math! ® is a registered trademark of Houghton Mifflin Harcourt.

View All Studies

Scope and Sequence

Grades K–6 (4.18 MB)

Grades 6–8 (6.3 MB)

Testimonials

Teachers just like you use GO Math! ® in their classrooms every day. Administrators love GO Math! because it is built from the ground up for the Common Core State Standards. Our HMH GO Math!  authors were involved in the program every step of the way.

Listen to what our teachers, administrators, and authors have to say about GO Math!

GO Math! Testimonials

GO Math! is written to go along with the Common Core Standards. The Student book has great, systematic lessons and challenging problems to solve. The practice book is a great homework resource." –Kristen Reynolds, 3rd Grade Teacher, A.T. Cummings Elementary, Winthrop, MA

The fact that the GO Math! materials are consumable makes it easier, as we can write in the "textbook" to underline key words and to show examples." –Lisa Inman, 5th Grade Teacher, Whitley Co North Elementary, Rockholds, KY

Available Digital Formats

Intel Education Study eTextbooks

GO Math! ®  Student Edition content can be accessed through a variety of mobile devices via the Intel ® Education Study platform. Each Intel Education Study eTextbook is enhanced with interactive features and social sharing tools that meet today’s connected students wherever they are ready to learn.

HMH eTextbooks

eTextbooks include all of the content from the print textbook and are available across all grade levels and discipline areas. Suitable for most tablets, eTextbooks are portable and easily accessed, with some interactivity depending on the device.

Online Editions

Designed for desktop, laptop, and netbook computers, Interactive Online Editions include all of the content of the print textbooks, plus ancillary and interactive elements. Available across all grade levels and discipline areas.

Intel and the Intel logo are trademarks of Intel Corporation in the U.S. and/or other countries. HMH® and GO Math!® are registered trademarks of Houghton Mifflin Harcourt.

Features K–6

With a wealth of digital and print resources for the classroom and beyond, GO Math! ®  provides today’s teachers and students with the tools they need to master new state standards and high-stakes assessments.

HMH Player App

Take instruction into the digital era.

With reliable, dynamic content as our foundation, HMH strives to empower students, educators and their families. The HMH Player ® app seamlessly merges technology with curriculum, culminating in an experience that elegantly leverages technology and award-winning HMH content—helping change the way you teach and how your students learn.

The value of technology is in how it empowers educators. HMH Player provides you with a revolutionary tool, helping you:

Download content when connected to the Internet, work offline, and then sync when back online.

Create custom lessons, upload your own content, or link to external resources to target particular skills and topics.

Collaborate

Open a Collaborative Classroom Session to use dynamic presentation tools, conduct informal polling, or instant message directly with students.

Communicate

Teachers and students can quickly access real-time reporting to monitor progress and identify areas for improvement.

Download the App Today

Students and teachers using GO Math! ® K–8 can download the HMH Player app today! HMH Player is available for iPad ® , Chromebook™, and computers with Windows ® 7 or higher, Mac ® OS 10.7 or higher running the Chrome™ browser.

HMH®, HMH Player® and design, and GO Math!® are registered trademarks of Houghton Mifflin Harcourt. Apple, the Apple logo, iPad, and Mac are trademarks of Apple Inc., registered in the U.S. and other countries. App Store is a service mark of Apple Inc. Chrome and Chromebook are trademarks of Google Inc. Windows is a registered trademark of Microsoft Corporation in the United States and/or other countries.

Personal Math Trainer

The Personal Math Trainer ® Powered by Knewton™ is the ultimate online, adaptive assessment and personalized learning system for students, with an automatic reporting and optional intervention system for the teacher.

Personal Math Trainer Powered by Knewton is part of Houghton Mifflin Harcourt’s flagship GO Math! ®  K–12 series, and it is the first K–12 product to combine HMH content with Knewton technology.

The system’s cutting-edge technology allows teachers to:

• Analyze each student’s interactions with the program content down to the concept level to determine personal strengths, weaknesses, preferences, and pace
• Provide each student with targeted recommendations for other assignments
• See real-time insights into each student’s needs, challenges, and learning styles
• Quickly and easily change the course of their instruction to meet ALL student needs

Unparalleled Student Support

Accessible from the Interactive Student Edition and HMH Player ® , the Personal Math Trainer provides practice, homework, assessments, and intervention and allows teachers to monitor student progress through reports and alerts.

The Personal Math Trainer provides ongoing support for students with:

• Unlimited practice through dynamic items and assignments
• Real-time feedback on every question they answer
• A variety of question types, including entering expressions and equations, graphing lines, fill-in-the-blank, and short response
• Available learning aids such as guided examples, step-by-step solutions, and video tutorials

The Personal Math Trainer automatically grades homework and generates reports so teachers can tailor their instruction to meet students’ needs.

GO Math!®, Personal Math Trainer® and design, and HMH Player® are registered trademarks of Houghton Mifflin Harcourt. 

Digital Learning Resources

Are you ready to rethink digital instruction, discover our digital student experience.

With GO Math! ®  K–6, teachers will notice that students enjoy more access to digital content and resources than ever before. At the heart of this on-the-go experience lies HMH Player ® , an all-in-one app for 21st-century learners. In addition, students can watch engaging videos, use virtual manipulatives, benefit from personalized instruction, and much more through the Interactive Student Edition, the Student Edition eBook, digital tools, and the Personal Math Trainer ® Powered by Knewton™.

Osmo Gaming System

Osmo™ is a unique gaming accessory for iPad ® (version 2 and higher). The Osmo Numbers game can be used for additional practice; to build basic skills and fluency in counting, addition, subtraction, and multiplication; to challenge students who have already mastered content; and to motivate students who enjoy learning in a game-like setting. Students benefit from familiarity—from using the same manipulatives (HMH Secret Code Cards and Counters) in both Osmo games and in daily math activities as part of GO Math!

For more information and sample lesson plans, visit hmhco.com/osmo .

The HMH Player app is the heart of the digital student experience. This complete learning app allows students to:

• Download content when connected to the Internet, work offline, and then sync when back online
• Digitally raise their hands for help or discreetly instant message teachers for one-to-one communication in the Collaborative Classroom Session
• Access real-time reporting to monitor their own progress and build self confidence

Interactive Student Edition (ISE)

Students will love this dynamic and fun approach to learning math. The ISE:

• Contains the same mathematical content as the Student Edition eBook but uses different examples
• Delivers access to embedded media, the Personal Math Trainer, and Math On the Spot videos
• Works on many devices and tablets
• Provides parents with the ability to study math alongside their child

Student Edition eBook

The Student Edition eBook is the online version of the Write-in Student Edition and includes:

• Note-taking and highlighting tools
• Bookmarking
• Online answer recording
• Links to interactive enhancements and digital assessment
• Compatibility with many devices and tablets
• Audio for all grade levels

Digital Tools for Online Problem Solving

Virtual Tools (available in the Student Edition eBook and Interactive Student Edition) enable students to work through problems at point of use.

iTools (available from the Student Dashboard) provide virtual manipulatives to help students solve problems.

Math on the Spot Videos

Make learning fun with our dynamic Math on the Spot videos, starring program authors and at K–2, Joey and Jeannie, our Math on the Spot puppets. These videos:

• Walk students through solutions to selected problems in the Student Edition
• Provide step-by-step instructions and explanations of key math concepts
• Are accessible using QR codes in the Student Edition

The Personal Math Trainer Powered by Knewton is the ultimate online, adaptive assessment and personalized learning system for students, with an automatic reporting and optional intervention system for the teacher.

Discover Our Digital Teacher Experience

Our Digital Teacher Experience lets teachers choose how they’ll spend their time—on planning, on instruction, on assessment, and on intervention. Our flexible content and resources adapt to fit the needs of today’s busy classrooms so teachers will be free to spend their energy where their students need it most.

With HMH Player teachers can:

• Create custom lessons, upload your own content, or link to external resources to target particular skills and topics
• Open a Collaborative Classroom Session to use dynamic presentation tools, conduct informal polling, or instant message directly with students
• Quickly access real-time reporting to monitor progress and identify areas for improvement

• Teacher Edition Online

Based on the 5E Model of Instruction, the Teacher Edition Online supports teachers with point-of-use Questioning Strategies, teaching tips, resources for differentiated instruction, additional activities, and Professional Development videos.

Teacher Dashboard

The Teacher Dashboard is your one-stop solution for easy access to a variety of resources: 

• Assignments
• Professional Development videos
• my SmartPlanner—save notes for each class!
• Presentation

Along with all student work and grades, all work performed in the HMH Player is automatically synced with the Teacher Dashboard.

Interactive Whiteboard Lessons

• Provide rich and engaging learning experiences
• Encourage active participation throughout the lesson
• Available for EVERY lesson in GO Math! K–6

Vocabulary Activities Teacher Guide

• Contain activities for introducing, practicing, and reinforcing math vocabulary
• Increase student comprehension and learning
• Help students read words with ease in lessons, in word problems, and on standardized tests
• Also available in print

iPad is a trademark of Apple Inc., registered in the U.S. and other countries. OSMO is a trademark of Tangible Play, Inc. HMH Player®, GO Math®, and Personal Math Trainer® and design are registered trademarks of Houghton Mifflin Harcourt. Knewton™ is a trademark of Knewton, Inc.

Print Resources

Practical print components, student resources, write-in student edition.

The GO Math! ®  Write-In Student Edition (SE) is based on the 5E Model of Instruction and delivers the rigor your students need for success on common and state high-stakes assessments. This engaging edition:

• Contains embedded practice pages
• Now includes games and an increased emphasis on vocabulary

Vocabulary and Writing Activities

Each chapter of GO Math! gives students the opportunity for extra vocabulary practice in the classroom or at home. Parents and siblings can get in on the fun helping their GO Math! students with:

• Vocabulary Cards
• Vocabulary Games
• Writing Activities

Bilingual Mathboard

• Write-on/wipe-off, available for each grade (K–6)
• Helps students organize their thinking
• Enables students to engage in the Mathematical Practices and supports Math Talk

Access to Digital Resources

• Students can scan QR codes in the Write-In Student Edition to access engaging Math on the Spot videos for every lesson.
• Math on the Spot Video Tutorials are the perfect tool for students in need of additional or an alternative approach to instruction.
• Plus, students in Grades K–2 will love Joey and Jeannie, our Math on the Spot puppets!

Teacher Resources

GO Math! K–6 teacher collections are organized by chapter to let teachers move easily between the program and the resources they’ll need for classroom instruction. Chapter booklets for both Teacher Editions and Chapter Resources also provide teachers with the organization and flexibility to teach concepts and skills in a customized order.

Available online in the Teacher Digital Management Center are STEM activities and worksheets for each chapter.

Also available online as part of the Teacher Digital Management Center are blackline masters to help students achieve fact fluency.

Teacher Edition

• GO Math! Teacher Editions are color-coded by Critical Area and organized by chapters to help teachers quickly identify materials and flexibly organize their curriculum
• Each booklet supports standards instruction through explanation of best practices and directions detailing how to incorporate program components in an effective manner at point of use
• Includes Learning Progressions and the Common Core Standards Across the Grades chart at the beginning of every chapter.

Chapter Resource Booklets

• Multivolume teacher resources available for every chapter
• Contain a variety of resources including assessments and answer keys, school-home letter, vocabulary game directions, daily enrichment activities, reteach intervention for every lesson, and chapter performance tasks

Planning Guide

• Chapter Planners with Common Core correlations
• Pacing and time spent on major work
• Additional end-of-year planning resources
• Grab-and-Go! ® Differentiated Centers Kit correlations to the chapters
• Sequence Options

Grab-and-Go! Differentiated Centers Kits

• Grab-and-Go! Differentiated Centers Kits are ready-made math centers with activities, games, and literature, neatly packaged for easy implementation and differentiation
• These kits are available for every lesson, and even include special challenge materials—making them perfect for individual and group practice

Grab-and-Go! Manipulative Kits

• Hands-on manipulatives bring lessons and content to life
• Available in classroom and custom kit sizes

GO Math!® and Grab-and-Go® are registered trademarks of Houghton Mifflin Harcourt.

Assessment and Intervention

Ongoing assessment.

With GO Math! ® , teachers can tailor a variety of formative and summative assessments to meet the needs of all their students. These include Leveled Quizzes and Tests, Performance Tasks, and Diagnostic and Quarterly Benchmark Tests. The program’s assessment resources allow for varied and ongoing assessment of student learning and progress.

Personal Math Trainer—Personalized Instruction and Support for EVERY Student

Real-Time Assessments and Intervention

Diagnostic, formative, and summative assessment has been incorporated into both print Student Editions and the Personal Math Trainer.

Show What You Know is connected to specific intervention and challenge resources and helps teachers answer questions like:

• Are my students prepared for this chapter?
• Do my students need intensive or strategic intervention?

RtI Quick Checks and Mid-Chapter Checkpoints help teachers monitor and assess student learning and understanding and adjust instruction accordingly.

Teachers can use the Data-Driven Decision Making chart to provide intervention to students who haven’t mastered chapter objectives.

Customized Assignments

Teachers can choose from thousands of items, correlated and searchable by lesson, Common Core State Standard, and Depth of Knowledge.

RtI Support at Every Level

Comprehensive RtI support improves learning, and GO Math! K–6 provides three options for intervention at each tier:

• Print support
• Focused, hands-on activities
• Comprehensive online support with the Personal Math Trainer

Instant Reporting

Teachers can use the reporting tool within the Personal Math Trainer to learn where their students struggle and where they excel—by student, class, standard, or test item.

Targeted Recommendations

With the Personal Math Trainer, teachers can target individual needs with prepopulated intervention assignments and build lessons with content that is up to two grades below level and designed to support each RtI tier.

GO Math!® and Personal Math Trainer® and design are registered trademarks of Houghton Mifflin Harcourt. Knewton™ is a trademark of Knewton, Inc.

Differentiated Instruction

Differentiated instruction for a diverse generation.

Mathematics instruction is only successful when it reaches individual students in a manner that engages and resonates with them. That’s why GO Math! ®  offers a wealth of resources to support teachers and their students every step of the way.

An Engaging Alternative

Math on the Spot video tutorials, featuring program author Dr. Edward Burger, accompany every example in the program and give students step-by-step instructions and explanations of key math concepts.

These engaging instructional videos spark students’ desire to learn, make connections with real-life experiences, and give context to mathematics. Plus, Math on the Spot video tutorials are the perfect tool for students in need of additional or an alternative approach to instruction.

Truly Personalized Instruction

With an emphasis on engagement, GO Math! offers a wealth of support to meet the individual needs of each student. The Personal Math Trainer provides a variety of point-of-use learning aids that allow students to take control of their learning in a way that is meaningful to them.

This state-of-the-art system analyzes each student’s interactions with the program content (down to the concept level) to determine personal strengths, weaknesses, preferences, and pace, AND it continues to adapt accordingly.

Portable Differentiation Stations

Grab-and-Go! ® Differentiated Centers Kits are ready-made math centers with activities, games, and literature, neatly packaged for easy implementation and differentiation. These kits are available for every lesson, and even include special challenge materials—making them perfect for individual and group practice!

Grab-and-Go! Manipulative Kits feature hands-on manipulatives that bring lessons and content to life. These unique kits are available in classroom and custom kit sizes.

GO Math!®, Personal Math Trainer® and design, and Grab-and-Go® are registered trademarks of Houghton Mifflin Harcourt. Knewton™ is a trademark of Knewton, Inc.

GO Math! Academy

Go Math! Academy ™ is an online learning program—designed for use at home and outside the classroom—that combines practice problems and help videos with games and rewards to give students extra practice to help them succeed with GO Math! ®  (or any math program). Go Math! Academy can be used for review, enrichment, after school programs and summer school. It is available for Grades K–8.

Take a Tour of Go Math! Academy

Key benefits of go math academy, gives students extra practice outside the classroom.

Self-directed opportunities let students select the skills they want to practice and choose the theme of their personal math journey.

Promotes parent and family engagement

Families can monitor students' progress via parent dashboard.  Families can watch help videos and access math tips to be able to support students.

Reinforces classroom work

With thousands of practice problems, students can repeat skill levels and get new questions if they need more time to learn—and relearn—skills.

Motivates and builds confidence

Students are motivated to work hard and complete skills by getting rewards that unlock math games and tricks.

Provides help on the spot

When students get stuck, they can search through more than 700 video lessons led by friendly hosts to get help in a clear and entertaining way. Plus, there are help tips for parents that explain math concepts.

How to Get Go Math! Academy

For a free trial for educators of Go Math! Academy , email us at [email protected] .

Schools can purchase Go Math! Academy for parents at a special price. Ask your Account Executive for information or email us at [email protected] .

Parents can also purchase Go Math! Academy on their own by visiting www.gomathacademy.com

GO Math!® and GO Math! Academy™ are trademarks or registered trademarks of Houghton Mifflin Harcourt.

Professional Development

Go math empowers all educators.

GO Math! ® offers Professional Development resources to meet a variety of needs for educators with busy schedules.

For self-paced development, math practices, and PD videos are available. For more in-depth development, our specialists have rich product knowledge plus classroom expertise to provide you with the support you need for successful implementation.

Common Core Math Practices Professional Development Videos

• Videos with strategies for teaching Mathematical Practices
• Available for mobile devices and tablets

Professional Development Videos

• Videos containing general strategies for teaching concepts and skills
• Available for mobile devices and tablets 

Professional Development Performance Tasks Videos

• Videos containing strategies for working with students in solving performance tasks

HMH Professional Services

HMH Professional Services offers additional programs and services above and beyond what is included with your GO Math! program.

Features 6–8

With a wealth of digital and print resources for the classroom and beyond, GO Math! ®  provides today’s teachers and students with the tools they need to master new state standards and high-stakes assessments.

HMH®, HMH Player® and design, and GO Math!® are registered trademarks of Houghton Mifflin Harcourt. Apple, the Apple logo, iPad, and Mac are trademarks of Apple Inc., registered in the U.S. and other countries. App Store is a service mark of Apple Inc. Chrome and Chromebook are trademarks of Google Inc. Windows is a registered trademark of Microsoft Corporation in the United States and/or other countries.

GO Math!®, Personal Math Trainer® and design, and HMH Player® are registered trademarks of Houghton Mifflin Harcourt. Knewton™ is a trademark of Knewton, Inc.

GO Math! ®  delivers the next-generation Digital Student Experience. Compatible with all Internet-enabled devices, the Digital Student Experience allows student to access all their lesson content online or offline, features digital answer submission functionality, and offers point-of-use links to embedded media, interactivities, and assessments—in every lesson.

The HMH Player ® app is the heart of the digital student experience. This complete learning app allows students to:

Online Student Edition

GO Math! 6–8 delivers the next-generation Online Student Edition that works on all Internet-enabled devices, offers digital answer submission functionality, and contains point-of-use links to Math On the Spot video tutorials, animated math tutorials, real-world videos, and the Personal Math Trainer ® Powered by Knewton™.

Student Dashboard

The Student Dashboard provides student access to My Progress Reports, My Resources, and My Assignments.

Math on the Spot

Math on the Spot video tutorials, featuring program author Dr. Edward Burger, accompany every example in the textbook and give students step-by-step instructions and explanations of key math concepts

These video tutorials are the perfect tool for students in need of additional or alternative approaches to instruction.

Real-World Videos

Real-world videos, featuring HMH ®  author Dr. Michael Heithaus, engage students with interesting and relevant applications of each module's mathematical content.

These short video segments are just one example of the real-world connections embedded in every lesson, so students can connect and apply mathematics to everyday life.

Animated Math Tutorials

Animated math tutorials are short interactivities or simulations that drive home the key concept within each lesson and keep students engaged as they develop fluency with the Standards.

The Digital Teacher Experience supports teachers through every stage of their instruction, from planning and implementation to assessment and remediation.

• Online Teacher Edition

Based on the 5E Model of Instruction, the OnlineTeacher Edition supports teachers with point-of-use Questioning Strategies, teaching tips, resources for differentiated instruction, additional activities, and Professional Development videos.

The Teacher Dashboard gives one-stop, easy access to a variety of resources:

• my SmartPlanner
• Presentation tools

Along with all student work and grades, work performed in the HMH Player and Online Teacher Edition is automatically synced with the Teacher Dashboard.

HMH®, HMH Player®, GO Math®, and Personal Math Trainer® and design are registered trademarks of Houghton Mifflin Harcourt. Knewton™ is a trademark of Knewton, Inc.

The Write-In Student Edition features full-color pages and an interactive design that allows students to immediately engage in mathematics as they begin to build conceptual understanding for every lesson. This practical print resource also contains rigorous problem sets, as well as real-world problem solving and performance tasks. Digital learning aids are referenced and linked using QR codes.

The Teacher Edition supports instruction through explanation of best practices, and provides directions detailing how to incorporate program components in an effective manner at point of use.

The 5E Model of Instruction embeds powerful teaching strategies so teachers can continually deliver instruction with the focus, coherence, and rigor demanded by new state standards and high-stakes assessments.

Each lesson in the Teacher Edition includes resources for differentiated instruction with leveled questions for every example, and additional activities.

Assessment Resources

This printed teacher resource provides a variety of formative and summative assessments, including:

• Unit Performance Tasks
• Leveled Module Tests
• Leveled Unit Tests
• Diagnostic Assessments
• Benchmark Tests
• End-of-Year Tests

These assessments are also available in Spanish.

Differentiated Instruction Resources

With the Differentiated Instruction Resource Book, teachers get additional support to reach all students within the classroom. Resources include:

• Leveled Practice
• Problem-Solving Worksheets
• Reading Strategies
• ELL Support
• Challenge and Enrichment Practice

Solutions Key

The Solutions Key features worked-out solutions to every practice problem in the Student Edition. This time-saving resource is also available online.

Planning and Pacing Guide

GO Math! includes full pacing guides for the year, Unit projects, and Getting Ready Lessons to prepare students for the next year.

With GO Math! ® , teachers can tailor a variety of formative and summative assessments to meet the needs of all their students. The program’s assessment resources allow for varied and ongoing assessment of student learning and progress. These include Leveled Quizzes and Tests, Performance Tasks, and Diagnostic and Quarterly Benchmark Tests.

Intervention

Math on the Spot video tutorials, featuring program author Dr. Edward Burger, accompany every example in the program and give students step-by-step instructions and explanations of key math concepts. These video tutorials are the perfect tool for students in need of additional or alternative approaches to instruction. Plus, these videos are ideal for teachers implementing a flipped classroom model!

One-Click Customization

With the Personal Math Trainer, teachers can:

• Build their own assignments from thousands of items, all correlated and searchable by lesson, standards, and DOK level
• Choose from course assignments or customize their own based on course content by standards, difficulty levels and more. Assessments are automatically scored and reported
• Assign prebuilt homework (with a variety of problem types) for every lesson in the course

The Personal Math Trainer Reports will allow teachers to determine which students might be in need of intervention assignments.

RtI for Tiers 1, 2, and 3

The Personal Math Trainer targets each student’s individual needs and provides content support up to two grade levels below the current grade.

It also automatically grades homework and generates reports so teachers can tailor their instruction to meet students’ needs.

Support ALL learners with differentiated Instruction, with clear visuals showing resources at point of use in the Teacher's Edition, including:

• Leveled Homework/Practice
• Extend the Math Activity (Pre-AP ® )

Pre-AP® is a trademark registered and/or owned by the College Board, which was not involved in the production of, and does not endorse, these products. GO Math!® and Personal Math Trainer® and design are registered trademarks of Houghton Mifflin Harcourt. Knewton™ is a trademark of Knewton, Inc.

Instructional Videos

Professional Development videos, featuring program author Dr. Juli Dixon, model successful teaching practices and strategies while implementing the Standards for Mathematical Practice in actual classroom settings.

Real-world videos, featuring HMH ® author Dr. Michael Heithaus, engage students with interesting and relevant applications of each module’s mathematical content. These short video segments are just one example of the real-world connections embedded in every lesson, so students can connect and apply mathematics to everyday life.

HMH® and GO Math!® are registered trademarks of Houghton Mifflin Harcourt.

Teacher Support

Built-in support—where and when you need it test on a different page.

GO Math! ®  supports teachers through every stage of instruction, from planning and implementation to assessment and remediation.

Embedded Professional Development videos, featuring program author Dr. Juli Dixon, model successful teaching practices and strategies while implementing the Standards for Mathematical Practice in actual classroom settings.

Based on the 5E Model of Instruction, the GO Math! Teacher Edition supports teachers with point-of-use digital resources, teaching tips, resources for differentiated instruction, additional activities, and Professional Development videos.

GO Math! Professional Development

The GO Math! ®  program includes Professional Development resources designed to help educators implement the program with fidelity—and facility.

For self-paced development, math practices and PD videos are available. For more in-depth development, our math specialists have rich product knowledge plus classroom expertise to provide teachers with the support they need for successful implementation.

Math Practices Videos

• Downloadable videos with strategies for teaching the Mathematical Practices
• Available for a variety of mobile devices, including smartphones and tablets
• Downloadable videos containing general strategies for teaching concepts and skills

Our Mission Is to Advance Yours

HMH Professional Services forges student-centered partnerships with schools and districts in the belief that all learners deserve a quality education and the opportunity for lifelong success.

HMH Professional Services includes teachers, leaders, and technologists. Our Professional Learning Consultants become part of your team, working right beside you to build and implement professional learning plans that respect the unique needs and culture of your school or district community. Through program, practice, and technical services, we work collaboratively to unlock the full potential of every student, teacher, and leader.

Comprehensive Services for K–12 Educators

We offer teachers and instructional leaders a full suite of learning and support to deepen their mastery and hone their teaching skills throughout the school year.

Visit us at hmhco.com/professionalservices  to learn more.

AskHMH™ is a trademark of Houghton Mifflin Harcourt.

Shop Program Components

Related programs.

Math in Focus ® : Singapore Math ® by Marshall Cavendish ®

HMH Algebra 1, Geometry, and Algebra 2

HMH Integrated Mathematics 1, 2, 3

ScienceFusion ®

Math Worksheets

Test your math skills! Ace that test! See how far you can get! You can view them on-screen, and then print them, with or without answers.

Every worksheet has thousands of variations, so you need never run out of practice material.

Choose your Subject !

+
−
×
÷		(includes the correct spaces to help you get it right)
123		My Daughter loves these!
0.1		+ − × ÷, and conversion from fractions
/ , /		+ − × ÷, and conversion
/ , /		+ − × ÷, and conversion
		Example: 12 + 8 × (5 − 4)
		Example: 2x + 8 = 16
3:30		"Tell the time" and "Draw the hands"

* Note: the worksheet variation number is not printed with the worksheet on purpose so others cannot simply look up the answers. If you want the answers, either bookmark the worksheet or print the answers straight away.

Also! Our forum members have put together a collection of Math Exercises .

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Insights & Resources

7 Strategies for Teaching Math to English Language Learners

These ELL strategies for math instruction will help you with teaching math to English language learners and supporting math learning for multilingual students.

Richard Blankman

September 10, 2021

Technology and Personalized Learning

Discover the benefits of technology and personalized learning in the classroom—and digital tools that can automate the personalized learning process.

Aoife Dempsey

April 1, 2022

Coaching for Mathematical Knowledge for Teaching

In order to teach math well, teachers need a specialized type of knowledge called mathematical knowledge for teaching.

Dr. Sue Chapman

May 13, 2022

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Free Math Worksheets — Over 100k free practice problems on Khan Academy

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Frequently Asked Questions about Khan Academy and Math Worksheets

Why is khan academy even better than traditional math worksheets.

Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.

Math Worksheets	Khan Academy
Math worksheets take forever to hunt down across the internet	Khan Academy is your one-stop-shop for practice from arithmetic to calculus
Math worksheets can vary in quality from site to site	Every Khan Academy question was written by a math expert with a strong education background
Math worksheets can have ads or cost money	Khan Academy is a nonprofit whose resources are always free to teachers and learners – no ads, no subscriptions
Printing math worksheets use up a significant amount of paper and are hard to distribute during virtual learning	Khan Academy practice requires no paper and can be distributed whether your students are in-person or online
Math worksheets can lead to cheating or a lack of differentiation since every student works on the same questions	Khan Academy has a full question bank to draw from, ensuring that each student works on different questions – and at their perfect skill level
Math worksheets can slow down student learning since they need to wait for feedback	Khan Academy gives instant feedback after every answer – including hints and video support if students are stuck
Math worksheets take up time to collect and take up valuable planning time to grade	Khan Academy questions are graded instantly and automatically for you

What do Khan Academy’s interactive math worksheets look like?

Here’s an example:

What are teachers saying about Khan Academy’s interactive math worksheets?

“My students love Khan Academy because they can immediately learn from their mistakes, unlike traditional worksheets.”

Is Khan Academy free?

Khan Academy’s practice questions are 100% free—with no ads or subscriptions.

What do Khan Academy’s interactive math worksheets cover?

Our 100,000+ practice questions cover every math topic from arithmetic to calculus, as well as ELA, Science, Social Studies, and more.

Is Khan Academy a company?

Khan Academy is a nonprofit with a mission to provide a free, world-class education to anyone, anywhere.

Want to get even more out of Khan Academy?

Then be sure to check out our teacher tools . They’ll help you assign the perfect practice for each student from our full math curriculum and track your students’ progress across the year. Plus, they’re also 100% free — with no subscriptions and no ads.

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The best way to learn and teach with AI is here. Ace the school year with our AI-powered guide, Khanmigo. 

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Math Worksheets - Free Weekly PDF Printables

Your kids from Kindergarten up through sixth grade will love using these math worksheets. New math workbooks are generated each week to make learning in the classroom fun. Word problems are emphasized for a deeper understanding of how math works, along with reinforcing basic math facts. The enrichment math pages will easily complement your existing math program and can be used every week to build the children's math skills and problem-solving strategies. Print as many of these math worksheets as you need to use in the classroom, at home, or at a tutoring center.

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IM 6–12 Math: Grading and Homework Policies and Practices

By Jennifer Willson,  Director, 6–12 Professional Learning Design

In my role at IM, working with teachers and administrators, I am asked to help with the challenges of implementing an IM curriculum. One of the most common challenges is: how can we best align these materials to our homework and grading practices? This question is a bit different from “How should we assess student learning?” or “How should we use assessment to inform instruction?” 

When we created the curriculum, we chose not to prescribe homework assignments or decide which student work should count as a graded event. This was deliberate—homework policies and grading practices are highly variable, localized, and values-driven shared understandings that evolve over time. For example, the curriculum needed to work for schools where nightly, graded assignments are expected; schools where no work done outside of class is graded; and schools who take a feedback-only approach for any formative work.

IM 6–8 Math was released in 2017, and IM Algebra 1, Geometry, and Algebra 2 in 2019. In that time, I’ve been able to observe some patterns in the ways schools and teachers align the materials to their local practices. So, while we’re still not going to tell you what to do, we’re now in a position to describe some trends and common ways in which schools and districts make use of the materials to meet their local constraints. Over the past four years, I have heard ideas from teachers, administrators, and IM certified facilitators. In December, I invited our IM community to respond to a survey to share grading and homework policies and practices. In this post I am sharing a compilation of results from the 31 teachers who responded to the survey, as well as ideas from conversations with teachers and IMCFs. We hope that you find some ideas here to inform and inspire your classroom.

How do teachers collect student responses?

Most teachers who responded to the survey collect student work for assessments in a digital platform such as LearnZillion, McGraw-Hill, ASSISTments, Edulastic, Desmos, etc. Others have students upload their work (photo, PDF, etc.) to a learning management system such as Canvas or Google classroom. Even fewer ask students to respond digitally to questions in their learning management system.

How do teachers tend to score each type of assessment, and how is feedback given?

The table shows a summary of how teachers who responded to the survey most often provide feedback for the types of assessments included in the curriculum.

How are practice problems used?

Every lesson in the curriculum (with a very small number of exceptions) includes a short set of cumulative practice problems. Each set could be used as an assignment done in class after the lesson or worked on outside of class, but teachers make use of these items in a variety of ways to meet their students’ learning needs.

While some teachers use the practice problems that are attached to each lesson as homework, others do not assign work outside of class. Here are some other purposes for which teachers use the practice problems:

• extra practice
• student reflection
• as examples to discuss in class or use for a mini-lesson
• as a warm-up question to begin class
• as group work during class

How do teachers structure time and communication to “go over” practice problems?

It’s common practice to assemble practice problems into assignments that are worked on outside of class meeting time. Figuring out what works best for students to get feedback on practice problems while continuing to move students forward in their learning and work through the next lesson can be challenging. 

Here are some ways teachers describe how they approach this need:

• We don’t have time to go over homework every day, but I do build in one class period per section to pause and look at some common errors in cool-downs and invite students to do some revisions where necessary, then I also invite students to look at select practice problems. I collect some practice problems along with cool-downs and use that data to inform what, if anything, I address with the whole class or with a small group.
• Students vote for one practice problem that they thought was challenging, and we spend less than five minutes to get them started. We don’t necessarily work through the whole problem.
• I post solutions to practice problems, sometimes with a video of my solution strategy, so that students can check their work.
• I assign practice problems, post answers, invite students to ask questions (they email me or let me know during the warm-up), and then give section quizzes that are closely aligned to the practice problems, which is teaching my students that asking questions is important.
• I invite students to vote on the most challenging problem and then rather than go over the practice problem I weave it into the current day’s lesson so that students recognize “that’s just like that practice problem!” What I find important is moving students to take responsibility to evaluate their own understanding of the practice problems and not depend on me (the teacher) or someone else to check them. Because my district requires evidence of a quiz and grade each week and I preferred to use my cool-downs formatively, I placed the four most highly requested class practice problems from the previous week on the quiz which I substituted for that day’s cool-down. That saved me quiz design time, there were no surprises for the students, and after about four weeks of consistency with this norm, the students quickly learned that they should not pass up their opportunity to study for the quiz by not only completing the 4–5 practice problems nightly during the week, but again, by reflecting on their own depth of understanding and being ready to give me focused feedback about their greatest struggle on a daily basis.
• I see the practice problems as an opportunity to allow students to go at different paces. It’s more work, but I include extension problems and answers to each practice problem with different strategies and misconceptions underneath. When students are in-person for class, they work independently or in pairs moving to the printed answer keys posted around the room for each problem. They initial under different prompts on the answer key (tried more than one strategy, used a DNL, used a table, made a mistake, used accurate units, used a strategy that’s not on here…) It gives the students and I more feedback when I collect the responses later and allows me to be more present with smaller groups while students take responsibility for checking their work. It also gets students up and moving around the room and normalizes multiple approaches as well as making mistakes as part of the problem solving process.

Quizzes—How often, and how are they made?

Most of the teachers give quizzes—a short graded assessment completed individually under more controlled conditions than other assignments. How often is as varied as the number of teachers who responded: one per unit, twice per unit, once a week, two times per week, 2–3 times per quarter.

If teachers don’t write quiz items themselves or with their team, the quiz items come from practice problems, activities, and adapted cool-downs.

When and how do students revise their work?

Policies for revising work are also as varied as the number of teachers who responded. 

Here are some examples:

• Students are given feedback as they complete activities and revise based on their feedback.
• Students revise cool-downs and practice problems.
• Students can revise end-of-unit assessments and cool-downs.
• Students can meet with me at any time to increase a score on previous work.
• Students revise cool-downs if incorrect, and they are encouraged to ask for help if they can’t figure out their own error.
• Students can revise graded assignments during office hours to ensure successful completion of learning goals.
• Students are given a chance to redo assignments after I work with them individually.
• Students can review and revise their Desmos activities until they are graded.
• We make our own retake versions of the assessments.
• Students can do error logs and retakes on summative assessments.
• We complete the student facing tasks together as a whole class on Zoom in ASSISTments. If a student needs to revise the answers they notify me during the session.

Other advice and words of wisdom

I also asked survey participants for any other strategies that both have and haven’t worked in their classrooms. Here are some responses.

What have you tried that has not worked?

• Going over practice problems with the whole class every day. The ones who need it most often don’t benefit from the whole-class instruction, and the ones who don’t need it distract those who do. 
• Grading work on the tasks within the lessons for accuracy
• Leaving assignments open for the length of the semester so that students can always see unfinished work
• Going through problems on the board with the whole class does not correct student errors
• Most students don’t check feedback comments unless you look at them together
• Grading images of student work on the classroom activity tasks uploaded by students in our learning management systems
• Providing individual feedback on google classroom assignments was time consuming and inefficient
• Allowing students to submit late and missing work with no penalty
• Trying to grade everything
• Below grade 9, homework really does not work.
• Going over every practice problem communicates that students do not really think about the practice problems on their own. 

What else have you tried that has worked well?

• My students do best when I consistently assign practice problems. I have tried giving them an assignment once a week but most students lose track. It is better to give 2–3 problems or reflective prompts after every class, which also helps me get ahead of misconceptions.
• I don’t grade homework since I am unsure who completes it with or for the students.
• A minimum score of 50% on assignments, which allows students the opportunity to recover, in terms of their grade in the class
• Time constraints imposed during remote learning impact the amount and type of homework I give as well as what I grade
• Give fewer problems than normal on second chance assignments
• I have used platforms such as Kahoot to engage students in IM material. I also build Google Forms to administer the Check Your Readiness pre-assessment and End-of-Unit assessments, but I may start using ASSISTments for this in the future.
• The value of homework in high school is okay, but personally I skip good for great.
• Students are able to go back and revise their independent practice work upon recognizing their mistakes and learning further about how to solve the problems.
• Sometimes I select only one or two slides to grade instead of the whole set when I use Desmos activities.
• Allow for flexibility in timing. Give students opportunities for revision.
• Frequent short assessments are better than longer tests, and they allow students to focus on specific skills and get feedback more frequently.
• Especially during the pandemic, many of my students are overwhelmed and underachieving. I am focusing on the core content.
• Homework assignments consist of completing Desmos activities students began in class. Additional slides contain IM practice problems.
• I am only grading the summative assessment for accuracy and all else for completion. I want the students to know that they have the room to learn, try new strategies and be wrong while working on formative assessments.

What grading and homework policies have worked for you and your students that aren’t listed? Share your ideas in the comments so that we can all learn from your experience.

What would you like to learn more about? Let us know in the comments, and it will help us design future efforts like this one so that we can all learn more in a future blog post.

We are grateful to the teachers and facilitators who took the time to share their learning with us.

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Free Math Worksheets

Printable math worksheets from k5 learning.

Our  free math worksheets  cover the full range of elementary school math skills from numbers and counting through fractions, decimals, word problems and more. All worksheets are printable files with answers on the 2nd page.

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• Bradford Woods Elementary
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• McKnight Elementary
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NORTH ALLEGHENY SCHOOL DISTRICT

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• Go Math! Resources

Mathematics

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• Big Ideas Math Online Resources
• Elementary Curriculum
• Middle School Curriculum
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GO MATH! RESOURCES

NASD’s new Mathematics Curriculum emphasizes critical areas and depth of understanding through interactive lessons, research based instructional approaches, and differentiated instructional resources to ensure the success of all students. This inquiry-based curriculum creates an environment where students solve problems in multiple ways and collaborate to share their learning with others. The Pennsylvania Core Standards serve as the foundation and help guide our students and teachers through a rigorous program toward a pathway for success. The adopted GO Math! textbook series utilizes consumable workbooks, which allow students to record, represent, solve problems, and explain their thinking and reasoning as they discover and build new understandings of mathematical concepts. The GO Math! series also includes a variety of online resources for teachers, students, and parents, including online access to the student workbooks, animated math videos, and virtual manipulatives.

This webpage contains video tutorials to provide an overview of the curriculum and methodology. Links are included to facilitate accessing the GO Math! online resources in order to practice mathematical concepts and skills at home.

Have a great school year!

NASD GO MATH! OVERVIEW

This video explains the eight mathematical practices and takes a family through solving an actual math problem.

NASD  GO MATH! INQUIRY

This video explores the five strands of mathematical proficiency and the impact of inquiry-based instruction.

ONLINE RESOURCES

There are many  GO Math!  online resources available to families on the ThinkCentral website; ThinkCentral must be accessed through the TigerID portal ( login.northallegheny.org ).

The preferred browsers for accessing the GO Math! online resources are Google Chrome and Mozilla Firefox. Internet Explorer and Microsoft Edge will not provide optimal viewing.

Below are tutorials of  GO Math!  Online Resources.

Student Edition eBook

This tutorial is an overview of the  GO Math!  Student Edition eBook, an online version of the textbook.

GO MATH! ANIMATED MATH MODELS

This tutorial is an overview of the  GO Math!  Animated Math Models. These are interactive, tiered practice for students that include four components: Learn the Math, Do the Math, Independent Practice, and Quiz.

GO MATH! INTERACTIVE STUDENT EDITION

This tutorial provides instructions on using the  GO Math!  Interactive Student Edition. This is an interactive version of each lesson found in the student textbook. This is a great resources to review a lesson that has already been covered in class.

GO MATH! MATH ON THE SPOT

This tutorial provides instruction on using the  GO Math!  Math on the Spot resource. There are video for each lesson in the textbook. These videos are a great resource for student to use while completing homework, or reviewing math concepts and skills.

GO MATH! eGLOSSARY

The  GO Math!  eGlossary is a great resource to review the vocabulary from the  GO Math!  textbook series. The glossary contains all of the vocabulary covered in the textbook for grades K-6.

HMH PLAYER APP ON AN iPAD

This video will provide an overview of the HMH Player app which will allow the videos in the  GO Math!  Interactive Student Edition to be viewed on an iPad.

PRINTING WORKBOOK PAGES

This video will provide instructions on how to print the student edition workbook pages from the  GO Math!  textbook series.  Download a PDF of the instructions here .

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Go Math! 6 Common Core Edition, Grade: 6 Publisher: Houghton Mifflin Harcourt

Go math 6 common core edition, title : go math 6 common core edition, publisher : houghton mifflin harcourt, isbn : 547587783, isbn-13 : 9780547587783, use the table below to find videos, mobile apps, worksheets and lessons that supplement go math 6 common core edition..

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textbook resources

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Free Math Printable Worksheets with Answer Keys and Activities

Other free resources.

Feel free to download and enjoy these free worksheets on functions and relations. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

• Long Division with Remainders
• Long Division with Remainders #2 (Zeros in the Quotient)
• Long Division with 2 Digit Divisors
• Whole Number by Unit Fraction
• Equation of Circle
• Simplify Imaginary Numbers
• Adding and Subtracting Complex Numbers
• Multiplying Complex Numbers
• Dividing Complex Numbers
• Dividing Complex Number (Advanced)
• End of Unit, Review Sheet
• Distance Formula
• Simplify Rational Exponents (Algebra 2)
• Solve Equations with Rational Exponents (Algebra 2)
• Solve Equations with variables in Exponents (Algebra 2)
• Exponential Growth (no answer key on this one, sorry)
• Compound Interest Worksheet #1 (No logs)
• Compound Interest Worksheet (Logarithms required)
• Factor Trinomials Worksheet
• Factor by Grouping
• Domain and Range (Algebra 1)
• Functions vs Relations (Distinguish function from relation, state domain etc..) (Algebra 2)
• Evaluating Functions (Algebra 2)
• 1 to 1 Functions (Algebra 2)
• Composition of Functions (Algebra 2)
• Inverse Functions Worksheet (Algebra 2)
• Operations with Functions (Algebra 2)
• Functions Review Worksheet (Algebra 2)
• Logarithmic Equations
• Properties of Logarithms Worksheet
• Product Rule of Logarithms
• Power Rule of Logarithms
• Quotient Rule of Logarithms
• Solve Quadratic Equations by Factoring
• Quadratic Formula Worksheets (3 different sheets)
• Quadratic Formula Worksheet (Real solutions)
• Quadratic Formula (Complex solutions)
• Quadratic Formula (Both real and complex solutions)
• Discriminant and Nature of the Roots
• Solve Quadratic Equations by Completing the Square
• Sum and Product of Roots
• Radical Equations
• Mixed Problems on Writing Equations of Lines
• Slope Intercept Form Worksheet
• Standard Form Worksheet
• Point Slope Worksheet
• Write Equation of Line from the Slope and 1 Point
• Write Equation of Line From Two Points
• Equation of Line Parallel to Another Line and Through a Point
• Equation of Line Perpendicular to Another Line and Through a Point
• Slope of a Line
• Perpendicular Bisector of Segment
• Write Equation of Line Mixed Review
• Word Problems
• Multiplying Monomials Worksheet
• Multiplying and Dividing Monomials Sheet
• Adding and Subtracting Polynomials worksheet
• Multiplying Monomials with Polynomials Worksheet
• Multiplying Binomials Worksheet
• Multiplying Polynomials
• Simplifying Polynomials
• Factoring Trinomials
• Operations with Polynomials Worksheet
• Dividing Radicals
• Simplify Radicals Worksheet
• Adding Radicals
• Multiplying Radicals Worksheet
• Radicals Review (Mixed review worksheet on radicals and square roots)
• Rationalizing the Denominator (Algebra 2)
• Radical Equations (Algebra 2)
• Solve Systems of Equations Graphically
• Solve Systems of Equations by Elimination
• Solve by Substitution
• Solve Systems of Equations (Mixed Review)
• Activity on Systems of Equations (Create an advertisement for your favorite method to Solve Systems of Equations )
• Real World Connections (Compare cell phone plans)
• Identifying Fractions

Trigonomnetry

• Law of Sines and Cosines Worksheet (This sheet is a summative worksheet that focuses on deciding when to use the law of sines or cosines as well as on using both formulas to solve for a single triangle's side or angle)
• Law of Sines
• Ambiguous Case of the Law of Sines
• Law of Cosines
• Vector Worksheet
• Sine, Cosine, Tangent, to Find Side Length
• Sine, Cosine, Tangent Chart
• Inverse Trig Functions
• Real World Applications of SOHCATOA
• Mixed Review
• Unit Circle Worksheet
• Graphing Sine and Cosine Worksheet
• Sine Cosine Graphs with Vertical Translations
• Sine, Cosine, Tangent Graphs with Phase Shifts
• Sine, Cosine, Tangent Graphs with Change in Period, Amplitude and Phase Shifts (All Translations)
• Tangent Equation, Graph Worksheet
• Graphing Sine, Cosine, Tangent with Change in Period
• Cumulative, Summative Worksheet on Periodic Trig Functions - period, amplitude, phase shift, radians, degrees,unit circle
• Ratio and Proportion
• Similar Polygons
• Area of Triangle
• Interior Angles of Polygons
• Exterior Angles of Polygons

• Identifying Fractions Worksheet
• Associated Powerpoint
• Simplify Fractions Worksheet (Regular Difficulty)
• Associated PowerPoint
• Simplify Fractions Worksheet (Challenging Difficulty level for advanced learners)
• System of Linear Equations Worksheet
• System of Linear Equations - Real World Application
• Compositions of Reflections. Reflections Over Intersecting Lines as Rotations

All of these worksheets and activities are available for free so long as they are used solely for educational, noncommercial purposes and are not distributed outside of a specific teacher's classroom.

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

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