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Addition and Subtraction With Regrouping

Assist students in mastering regrouping (borrowing and carrying) with addition and subtraction worksheets that provide step-by-step practice. These resources help students understand the process and reduce errors. Use them to enhance mathematical proficiency and confidence.

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3 Digit Addition Regrouping

3 Digit Addition Regrouping
Math, Addition and Subtraction, Addition, Place Value, Grade 2, 3, Worksheets & Printables, Worksheets

3 Digit Addition Regrouping A teaching resource focused on addition and place value for Grade 2 and Grade 3 students, "3 Digit Addition Regrouping" offers a unique approach to assisting young learners through the intricate process of adding three-digit numbers that require regrouping. Main Component: The Chart Structure The prime element of this product is based on a unique chart structure that aids students in visualizing the addition process. By distinctly categorizing hundreds, tens, and ones within the chart , addition up to 1000 becomes simplified making it an essential tool for classroom learning as well as home tutoring or homeschool environments. Strategy Posters & Catchy Chants Inclusive of two strategy posters visually representing different ways to approach three-digit addition problems (Accompanied by catchy chants aimed at reinforcing learning) . This interactive technique enhances memory recall making learning fun rather than boring. Practice Pages & Answer Keys Two practice pages complete with answer keys allows tracking student progress through step-by-step exercises. Gives educators insights into problem areas needing more attention or mastered skills. Exit Tickets Inclusion of two exit tickets acting as quick formative assessments enabling teachers or parents assess if fundamental concepts have been grasped by the student. This resource aligns with: (2.NBT.B.7): Drawing concrete models/diagrams based on place value understanding how hundreds add up with similar units. (3.NBT.A.2): Becoming fluent in adding/subtracting within 1000 using strategies rooted in place value.

Author Teach With Baker

Tags 3-Digit Addition, Math Regrouping, Place Value, Strategy Posters, Formative Assessments

3 Digit Subtraction with Regrouping Matching Worksheet

3 Digit Subtraction with Regrouping Matching Worksheet
Math, Addition and Subtraction, Subtraction, Grade 2, 3, Worksheets & Printables, Worksheets

This is a 3 Digit Subtraction with Regrouping Matching Worksheet. There are 10 problems for students to complete. Students will solve the problem and find the correct puzzle piece. This worksheet can be printed in color or black and white.

Author That One Cheerful Classroom

Tags Matching, Puzzles, Math Homework, Regrouping, Subtraction, 2-digit Subtraction, Word Problems, Math Centers, Small Group

Add & subtract 2-digit whole numbers with & without regrouping

Add & subtract 2-digit whole numbers with & without regrouping
Math, Addition and Subtraction, Addition, Common Core, Grade 2, Worksheets & Printables, Worksheets

There are two sets of worksheets, one on addition and the other on subtraction of 2 digit numbers. Within each set a learning path has been created so that your students can build their skills and knowledge one step at a time through differentiated worksheets as follows: Addition No regrouping Regrouping once - 2-Digit plus a 1 digit number Regrouping twice -Two 2-Digit numbers Adding three 2-Digit numbers Adding four 2 Digit numbers Subtraction No regrouping Regrouping - 2-Digit minus a 1 digit number Regrouping -Two 2-Digit numbers How many worksheets are in each set ? A lot .... almost unlimited . How is this possible ? At the bottom of each page there is a button which when clicked randomises all the numbers on the page thereby creating a completely new worksheet. You can create as many new worksheets as you need at each level. Keep the skill alive throughout the year. Produce a new worksheet for classwork and homework practice; use as a filler activity; leave a straightforward activity for a replacement teacher or even give each pupil or groups of pupils in your class individualized sets of questions either all at the same level or differentiated according to their progress. Need to revise a level ? No problem .... click the appropriate button and you have a new worksheet. There will certainly be enough to ensure fluency in this topic. Are Answers provided ? Yes . These can be found on the second page of every worksheet, and are automatically generated every time you create a new worksheet. Note These resources are PDF documents and work with the official Adobe Acrobat Reader on Windows or Mac computers, with the randomising buttons also working via a touchscreen or on an Interactive Whiteboard . Common Core State Standards 2.NBT.B.5 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. And for further challenges you may like: Add and subtract 3 Digit numbers with and without regrouping Add and Subtract 4 and 5 digit whole numbers using the standard algorithm

Author Jeff's Notebooks

Tags Add, Subtract, Addition, Subtraction, 2-digit, Math, Jeff's Notebooks, Worksheets, Regrouping, Interactive Whiteboard

Addition and Subtraction: Single and 2-Digit Numbers With and Without Regrouping

Addition and Subtraction: Single and 2-Digit Numbers With and Without Regrouping
Math, Addition and Subtraction, Addition, Grade 3, Worksheets & Printables, Worksheets

This workbook provides practice for these essential math skills: —Regrouping —Rounding and Estimation —Multiplication Facts to 1

Author Twin Sisters Digital Media

Tags Regrouping, Numbers, Subtraction, Addition, Math Practice, Subtraction 2 Digit Numbers Without Regrouping, Adding 2-digit Numbers Without Regrouping, Add 2 Digit Numbers Without Regrouping, 2 Digit Addition And Subtraction Without Regrouping, 2digit Addition Without Regrouping, Adding 2 Digit Numbers Without Regrouping, Addition And Subtraction Without Regrouping, 2 Digit Addition Without Regrouping, Two Digit Addition And Subtraction Without Regrouping, Adding 2 Digit Numbers Without Regrouping Worksheets, Addition And Subtraction With And Without Regrouping, Add Two Digit Numbers Without Regrouping, Double Digit Addition And Subtraction Without Regrouping, Adding Two Digit Numbers Without Regrouping

3 Digit Addition with Regrouping Math Homework Sheets

3 Digit Addition with Regrouping Math Homework Sheets
Math, Addition and Subtraction, Addition, Grade 3, Worksheets & Printables, Worksheets

This is a set of 3 Digit Addition with Regrouping Math Homework Sheets. There are 4 different homework sheets to choose from. This is a great way to get students practicing their addition with regrouping at home. Answer keys included.

Author That One Cheerful Classroom

Tags Math Worksheets, Regrouping, 3-digit Addition, Addition With Regrouping, Homework, Math Stations, Small Group

Multi-DigitSubtraction No Regrouping Worksheet

Multi-DigitSubtraction No Regrouping Worksheet
Math, Addition and Subtraction, Subtraction, Grade 1, 2, 3, 4, Worksheets & Printables, Worksheets

This worksheet is great for helping students practice their multi-digit subtraction without regrouping skills. This is a vital skill for students to master in order to be successful in math.

Author Have Fun Teaching

Tags

Addition and Subtraction with Dienes within 100

Addition and Subtraction with Dienes within 100
Math, Addition and Subtraction, Addition, Subtraction, Grade 1, Worksheets & Printables, Worksheets

Addition and Subtraction with Dienes within 100: A Comprehensive Teaching Resource The teaching resource named Addition and Subtraction with Dienes within 100 is a valuable asset for educators seeking creative ways to make math concepts more conceptually accessible to their students. Specifically crafted for grade 1, this resource focuses on the key areas of addition and subtraction - core subjects that require a solid understanding for mathematical progression. Making Math Concepts Accessible: This comprehensive package masterfully transitions your pupils from the physical world of mathematical tools like base-ten Dienes blocks, often used in early school years, into a visual and conceptual recognition. This vital leap enables students to move beyond basic tangible manipulations towards achieving proficiency with standard algorithms involved in addition and subtraction. Incorporation of Base-Ten Dienes Blocks: The included resources are meticulously designed, starting with calculations using rods to signify tens and units representing ones followed by introducing complex scenarios necessitating regrouping or borrowing while adding or subtracting respectively. Accompanying worksheets mirror the interactive lessons: initial exercises focus on numbers whose sum falls below ten before advancing onto calculations requiring regrouping. Similarly, children will learn subtraction methods that both avoid borrowing as well as employ it when necessary. An Ever-ready Toolbox for Teachers: As refreshing conveniences for teachers, this product is an ever-ready toolbox offering an unlimited number of randomized questions suitable not only for classwork but also homework assignments or even quick filler activities ensuring the complete assimilation of these concepts. Importantly too, should you need material ready at hand during those unavoidable substitute teacher days - worry not! The no-preparation-needed feature ensures seamless continuity in learning. Facilitating Constructive Learning: For effective classroom implementation look towards the Self Checking Interactive Presentation included: primed ideally as an introductory tool prior to assigning worksheets providing immediate feedback when responses are inputted at the whiteboard by your students - promoting constructive learning through instant correction! Exhibiting Compliance with Common Core Standards: Unsurprisingly perhaps was our thorough compliance exhibited with Common Core Standards particularly around key areas like understanding numerical values associated with tens & ones (CCSS1.NBT.B), realizing computations within 100 using both models & reasoning (CCSS1.NBT.C). Concluding Remarks: This educational resource, available as a PDF file, is reliant on Adobe Acrobat Reader for full functionality. Its array of formats: Whiteboard integrated lessons contributing to the broader pedagogy, Common Core compliance illustrating alignment with learning standards and diverse worksheets – ensure that educators and homeschoolers alike have the tools necessary to strengthen their students' understanding of addition and subtraction.

Author Jeff's Notebooks

Tags Math Concepts, Addition, Subtraction, Dienes Blocks, Regrouping

Math Practice Simplified C - Addition

Math Practice Simplified C - Addition
Math, Addition and Subtraction, Addition, Preschool, Grade 1, 2, Worksheets & Printables, Worksheets

This mathematics-based resource is designed for grades K-2. It’s imperative for students to have a strong foundation in basic math skills. This resource provides activities to introduce and practice addition. Students will add basic facts, three-digit and four-digit numbers. This resource is perfect to prepare students to succeed on standardized tests . An answer key is included. Aligned to National Council of Teachers of Mathematics (NCTM) Standards.

Author Classroom Complete Press

Tags Math, Addition, Regrouping, Primary, Drills, Review, Answer Key

Add and Subtract 3 Digit numbers With and Without Regrouping

Add and Subtract 3 Digit numbers With and Without Regrouping
Math, Addition and Subtraction, Addition, Grade 3, 4, Worksheets & Printables, Worksheets

There are 10 sets of Worksheets providing an excellent straightforward resource for practicing column addition and subtraction of 3 Digit numbers, differentiated with and without regrouping applying the standard algorithm. They are organized in such a way that your students can develop their proficiency one step at a time, beginning with no regrouping, then bringing in regrouping in easy stages until they are ready to add up three or four 3-digit numbers with regrouping with units, tens and hundreds. Addition No regrouping Regrouping I - Units only Regrouping II - Units and tens Regrouping III -Units, tens and hundreds Adding three 3 Digit numbers Adding four 3 Digit numbers Subtraction No regrouping Regrouping I - Units only Regrouping II - Units and tens, 2nd number is a 2-Digit number Regrouping III - Units and tens Answers can be found on the second page of every worksheet and they are automatically generated when you create a new worksheet. How many worksheets are in each set ? Almost unlimited. At the click of a button all the numbers are randomised, so the questions change every time. This will allow you to create as many new worksheets you will need for practice throughout the year (classwork, homework, revision, fillers etc) or even give small groups of students in your class different sets of questions either at the same or different levels. Print out as many unique worksheets as you need. Your students will never run short of practice. As these sheets need little explanation, they are ideal if you need to leave work for a replacement teacher. Note These resources are PDF documents and work with the official Adobe Acrobat Reader on Windows or Mac computers with the randomising buttons also working via a touchscreen (PC or Mac)or on an Interactive Whiteboard. Common Core Standards 3rd and 4th Grade CCSS3.NBT.A.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. CCSS4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm UK National Curriculum. Year 3 Programme of Study: Number - Addition and Subtraction Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction Need a refresher with 2-Digit numbers ? Try this: Add and Subtract 2-digit numbers with and without regrouping 2nd Grade For more challenging exercises: Add and Subtract 4 and 5 digit whole numbers using the standard algorithm

Author Jeff's Notebooks

Tags Subtract, 3-digit Numbers, Standard Algorithm, Addition, Subtraction, With Regrouping, Math, Differentiated, Jeff's Notebooks, Interactive Whiteboard, Subtracting 3 Digit Numbers With Regrouping

Two Digit Addition Regrouping Worksheet

Two Digit Addition Regrouping Worksheet
Math, Addition and Subtraction, Addition, Numbers, Grade 1, 2, 3, Worksheets & Printables, Worksheets

This Two Digit Addition Regrouping Worksheet is a great resource for students who are struggling with double digit addition. This worksheet will help students understand the concept of regrouping and addition steps.

Author Have Fun Teaching

Tags Statistics

Double Triple Digit Regrouping Subtraction Worksheet

Double Triple Digit Regrouping Subtraction Worksheet
Math, Place Value, Addition and Subtraction, Subtraction, Grade 1, 2, 3, Worksheets & Printables, Worksheets

This worksheet is great for practicing double and triple digit subtraction with regrouping. It's a great way for students to get extra practice with this difficult concept.

Author Have Fun Teaching

Tags Doubles Subtraction Worksheets

Triple Digit Addition Regrouping Worksheet

Triple Digit Addition Regrouping Worksheet
Math, Addition and Subtraction, Addition, Numbers, Grade 1, 2, 3, Worksheets & Printables, Worksheets

This printables /worksheets/worksheets-by-subject/math-worksheets/addition-and-subtraction-worksheets/addition-worksheets">addition worksheet is perfect for helping students to practice their triple digit addition, with regrouping. By following the addition steps, they will be able to confidently solve these problems on their own.

Author Have Fun Teaching

Tags Statistics, Three-digit Addition With Regrouping Worksheets, 3 Digit Addition With Regrouping, Triple Digit Addition

Double Digit Subtraction Regrouping Worksheet Pack

Double Digit Subtraction Regrouping Worksheet Pack
Math, Addition and Subtraction, Subtraction, Grade 2, 3, 4, Worksheets & Printables, Worksheets

This Double Digit Subtraction Regrouping Worksheet Pack is a great resource for teachers who want to help their students practice double digit subtraction with regrouping. This pack includes a variety of worksheets that will give your students plenty of opportunities to practice this important skill.

Author Have Fun Teaching

Tags

2 Digit Subtraction without Regrouping Matching Worksheet

2 Digit Subtraction without Regrouping Matching Worksheet
Math, Addition and Subtraction, Subtraction, Grade 2, Worksheets & Printables, Worksheets

This is a 2 Digit Subtraction without Regrouping Matching Worksheet. There are 10 problems for students to complete. This worksheet can be printed in color or black and white.

Author That One Cheerful Classroom

Tags 2 Digit Subtraction, Math Worksheet, Matching, Regrouping, Math Centers, Problem Solving, Word Problems, Homework

Adding and Subtracting 2-3-4 Digits-Apple Theme

Adding and Subtracting 2-3-4 Digits-Apple Theme
Math, Addition and Subtraction, Addition, Grade 2, 3, 4, Worksheets & Printables, Worksheets

Adding and Subtracting 2-3-4 Digits - Apple Theme Resource This is a comprehensive set of six worksheets designed to assist educators in reinforcing the math knowledge of their students in grades 2 through 4. With an apple theme , this product accommodates varied abilities and learning paces in both classroom and homeschool environments. Functionality Hones skills in adding and subtracting numbers with two, three, or four digits. Progresses from simpler to more complex calculations for sustained mastery over time. Incorporates practice with regrouping for an added layer of challenge. Differentiation & Flexibility The worksheets are particularly structured for diverse classrooms. They accommodate both advanced second graders as well as fourth graders needing additional reinforcement without alienating any learner. The flexibility extends to usage options; they can be used during whole group instruction, smaller groups based on achievement levels or even function excellently as independent work/homework assignments. Ease For Teachers & Aesthetic Appeal Fully solved answer keys are included making the process straightforward. On the appeal front, both colorful versions ideal for digital use along with black and white versions suitable for printing are incorporated - maintaining educational vibrance without compromising practicality. To conclude, "The Adding and Subtracting 2-3-4 Digits - Apple Theme resource" .is instrumental to Teaching Professionals seeking didactic effectiveness coupled with aesthetic appeal catering to diverse student needs while making class numerical proficiency less daunting.

Author Quail Trail Products

Tags Addition, Subtraction, Regrouping, Apple Theme, Differentiated Instruction

Double Triple Digit Subtraction No Regrouping Worksheet

Double Triple Digit Subtraction No Regrouping Worksheet
Math, Place Value, Addition and Subtraction, Subtraction, Grade 1, 2, 3, Worksheets & Printables, Worksheets

This worksheet is a great way for students to practice their double and triple digit subtraction without regrouping. This is a difficult skill for many students, so this worksheet will give them the extra practice they need to master it.

Author Have Fun Teaching

Tags

Subtraction Multi-Digit Regrouping Worksheet

Subtraction Multi-Digit Regrouping Worksheet
Math, Addition and Subtraction, Subtraction, Grade 1, 2, 3, 4, Worksheets & Printables, Worksheets

Subtraction Multi-Digit Regrouping Worksheet helps students gain confidence in multi-digit subtraction skills. This informative math resource provides practice subtracting large numbers that require regrouping. Teachers can utilize the Subtraction Multi-Digit Regrouping Worksheet with individuals, small groups, or the whole class. Present it as homework, a center activity, assessment , or teaching tool. The worksheet contains a variety of problems and gives students experience exchanging numbers into different places. It reinforces place value understanding while subtracting multi-digit numbers. Subtraction Multi-Digit Regrouping Worksheet helps learners master this second, third, and fourth-grade skill. Teachers appreciate the extra practice it offers students gaining confidence subtracting larger numbers.

Author Have Fun Teaching

Tags Multi-digit Subtraction With Regrouping Worksheets, Multi-digit Subtraction, Multi Digit Subtraction With Regrouping Worksheets, Multi Digit Subtraction Worksheet, Multi Digit Subtraction, Multi Digit Subtraction With Regrouping

Triple Digit Addition without Regrouping Worksheet

Triple Digit Addition without Regrouping Worksheet
Math, Addition and Subtraction, Addition, Grade 2, 3, 4, Worksheets & Printables, Worksheets

This worksheet can help students who are struggling with addition, or who need extra practice. It is a great resource for teachers who are looking for extra material to supplement their instruction.

Author Have Fun Teaching

Tags

Double Digit Add Regrouping Worksheet

Double Digit Add Regrouping Worksheet
Math, Addition and Subtraction, Addition, Numbers, Grade 1, 2, 3, Worksheets & Printables, Worksheets

This worksheet is great for practicing double digit addition with regrouping. It provides a helpful visual for students, and is a great way to practice this skill.

Author Have Fun Teaching

Tags Statistics, Add Regrouping

Math: Thank You Next Place - Regrouping Addition

Math: Thank You Next Place - Regrouping Addition
Math, Addition and Subtraction, Addition, Place Value, Grade 2, 3, Worksheets & Printables, Worksheets

Math: Thank You Next Place - Regrouping Addition This is a dynamic teaching resource for passionate educators aiming to make mathematics comprehendible and enjoyable. Utilizing a combination of music and imagery, it provides insightful instruction on regrouping addition. Key Features: An engaging original math song set to the tune of 'Thank You, Next.' This catchy tune assists students in learning through music as they work out their exercises. An editable Google Slide that allows interactive practice within Google Classroom. This feature enables customization of number sentences based on pupils' proficiency levels and class requirements. Includes an instructional video for use as a teacher tool or reinforcement material for students needing clarification or repetition. Format Compatibility: If you're not using Google Classroom or need printed resources—a PDF version is included featuring game mats, exit tickets, and independent training worksheets for additions within 100 & 1,000 quantities limit systems. Educational Standard Alignment: 2.NBT.5: Applying place value strategies when adding/subtracting within 100 2.NBT.7 & 3.NBT.2 : Use of place value strategies in addition or subtraction up to amounts reaching up to 1,000 Add-ons Available: For follow-up lessons BUNDLES that focus on Adding/Subtracting until quantities reach up till 1,000 are offered along-side Exit Tickets addressing two-digit Addition/Subtraction providing comprehensive domain coverage. In summary, "Math: Thank You Next Place - Regrouping Addition" , connects academic rigour with musical harmony pushing grade two/three math instruction into the league of its own!

Author Teach With Baker

Tags Regrouping Addition, Interactive Learning, Music Integration, Customizable Exercises, Value Strategies

Subtraction Multi-Digit No Regrouping Worksheet

Subtraction Multi-Digit No Regrouping Worksheet
Math, Addition and Subtraction, Subtraction, Grade 1, 2, 3, 4, Worksheets & Printables, Worksheets

This worksheet is a great way for students to practice their multi-digit subtraction without regrouping. This is a skill that is often hard for students to grasp, so this worksheet is a great way for them to get some extra practice.

Author Have Fun Teaching

Tags

Adding and Subtracting to 1000 with regrouping

Adding and Subtracting to 1000 with regrouping
Math, Addition and Subtraction, Subtraction, Place Value, Grade 2, 3, Worksheets & Printables, Worksheets

Introducing the Adding and Subtracting to 1000 with Regrouping BUNDLE An effective teaching resource, designed for facilitative instructors who are eager to implement engaging strategies that accelerate learning. In our package, you get four essential educational tools in one bundle . This includes: Detailed strategy posters for three-digit addition Comprehensible chants Practice pages for students to reinforce what they've learned Answer keys A notable feature is the 'exit tickets', functioning as quick formative assessments after each exercise. A Unique Approach to Subtraction Strategies Our bundle provides a packet dedicated to subtraction strategies. It features: Unique charts based on expanded form and model-making tactics. Two practice sheets double up as assessment papers along with handy exit tickets. Fresh Dynamic Task Cards in Teaching Assets We introduce 3 sets of dynamic Task Cards with this kit comprising of: All subtraction set. All addition set. Plus a mixed operation deck, offering two recording sheet types—one blank and another chart-based. Meticulous Learning Solutions Setup With Exit Tickets Our solutions setup includes six different types of Exit Tickets covering: Addition (with & without regrouping) Subtraction (with & without regrouping) Mixed Operation categories both compacted into singular student-friendly methodology! This product adheres strictly Educational Standards: 2.NBT.B.7 & 3.NBT.A.2 ,emphasizing place-value application - perfect for mastering subjects like Math- Subtraction & Place Value suitable ideally for Grade 2 and Grade 3 learners. Take note: Our File Type comes in ZIP format containing worksheets ready-for-use! Empower future mathematicians today by adopting our Adding and Subtracting to 1000 Bundle's multi-faceted approach.

Author Teach With Baker

Tags Teaching Resources, Math Strategies, Addition And Subtraction, Task Cards, Exit Tickets

Double Digit Addition without Regrouping Worksheet

Double Digit Addition without Regrouping Worksheet
Math, Addition and Subtraction, Addition, Grade 1, 2, 3, Worksheets & Printables, Worksheets

This worksheet is great for helping students learn to solve double digit addition problems without regrouping. This is a skill that is essential for students to master in order to be successful in math.

Author Have Fun Teaching

Tags

Pirate Regrouping Worksheets

Pirate Regrouping Worksheets
Math, Addition and Subtraction, Subtraction, Grade 2, 3, Worksheets & Printables, Worksheets

Pirate Regrouping Worksheets The Pirate Regrouping Worksheets are a valuable tool for educators seeking an engaging and effective way to teach or reinforce subtraction regrouping skills. Specifically designed for second and third grade learners, this package contains five unique worksheets that immerse young mathematicians in a thrilling pirate adventure. Subtraction Challenges Through these fun yet challenging resources, students tackle various levels of subtraction – from 1-digit subtracted from 2-digits to 3-digit minus 3-digit equations. These tasks provide a mix of examples requiring both regrouping and non-regrouping solutions. Versatility: Equips the students with critical problem-solving skills where they first determine whether regrouping is required before calculating the difference. Fun Element: Upon solving the problems, children can enter their answers into delightfully designed treasure chests - adding amusement while reinforcing their mathematical understanding. Educational Flexibility & Accessibility The worksheets are fit for different learning scenarios - whole-class instruction, small group activities or individual homework assignments. They are available in color as well as black-and-white versions (content remains identical). All materials come in easily accessible PDF file format , ensuring compatibility with most educational devices devoid of specific software requirement. An Added Feature: Answer Key! An answer key feature is included to help educators swiftly review student progress - speeding up marking time while ensuring accurate assessment ! Come aboard the educational journey filled with numeric challenges and pirate-themed excitement with the Pirate Regrouping Worksheets!

Author Quail Trail Products

Tags Pirate Math, Subtraction Regrouping, 2-digit Subtraction, 3-digit Subtraction, Problem-solving