Advertisement
fractions of a whole worksheet: Whole-y Cow! Taryn Souders, 2010-10-15 Learning about fractions isn't always easy, but who says it can't be fun? Using one very entertaining cow, math teacher Taryn Souders has devised a very clever (and fun) way of explaining fractions to beginning learners. One whole cow, calmly eating hay, decided to act differently on this particular day. One whole cow - what should we do? I know! Let's paint one half blue! Prompted by a poem and a visual clue, students are asked to answer what fraction is illustrated in the cow's antics, starting with halves and progressing into thirds, fourths, eighths, and tenths. What fraction of the cow is blue? Answer: ½ What fraction of the cow is white? Answer: ½ With the math problem featured as part of the artwork, students get an immediate sense of how to apply and understand the concept of fractions. How moo-velous! Taryn J. Souders lives in Winter Park, Florida. With a background in math education, she is passionate about keeping math fun for young students. This is her first children's book. Tatjana Mai-Wyss was born in Switzerland. She remembers learning about fractions with the help of a typical Swiss cake. Tatjana has illustrated several children's books and her work has been published in books and magazines in the United States and abroad. She lives in South Carolina. |
fractions of a whole worksheet: Multiplying Fractions Remedia Publications, 2021-12-30 Grade Level: 3-6 CCSS Level: 4-6 Making fractions make sense! This 23-lesson learning unit is packed with hundreds of sequential fraction activities featuring both computation and word problems. As the third book in a series – following Adding Fractions and Subtracting Fractions – these exercises are designed to build upon what students have already learned. From “writing reciprocals of fractions, whole numbers, and mixed numbers,” to “multiplying a proper fraction by a proper fraction,” and on to “using a banana bread recipe to multiply fractions,” the activities in this book progress from learning basic concepts to mastering an understanding of how to multiply fractions. A Post Test and Answer Key are included. |
fractions of a whole worksheet: Simple Fractions Globe Fearon, Rose Lock, Evelyn Morabe-Murphy, 1988-06 |
fractions of a whole worksheet: Easy Fractions Remedia Publications, 2021-12-29 Grade Level: 1-2 CCSS Math Level: 3 An introduction to fractions! Easy-to-grasp, graphically illustrated shapes are used to begin teaching the concept of fractions. Example: A half-moon shape is divided into two even parts and students are asked to color the fraction «. In all, there are 25 lessons in this teaching unit. As they work through the exercises, students will enjoy identifying, drawing, coloring, and dividing the basic shapes into fractions of 1/2, 1/4, 1/8, 1/3 and on and on. |
fractions of a whole worksheet: If You Were a Fraction Trisha Speed Shaskan, 2008-07-01 A basic introduction to the concept of fractions. |
fractions of a whole worksheet: Fractions Workbook, Grade 6 Spectrum, 2013-12-02 Spectrum(R) Fractions for grade 6, is designed to completely support and challenge sixth graders to master fractions. This 96-page math workbook goes into great depth about fractions and provides a wide range of examples, practice problems, and assessments to measure progress. --*Builds a foundation in adding, subtracting, multiplying, and dividing fractions --*Step-by-step examples introduce new concepts --*Pretests and Posttests to measure progress --*Problem solving and critical thinking exercises --*Correlated to the Common Core Standards --*Answer key. --The bestÐselling Spectrum(R) workbooks provide students with focused practice based on the essential skills they need to master for Common Core success. With explicit skill instruction, step-by-step examples, ample practice, as well as assessment tools for progress monitoring, students are provided everything they need to master specific math skills. SkillÐspecific Spectrum(R) workbooks are the perfect supplement for home or school. |
fractions of a whole worksheet: Mega-Fun Fractions Martin Lee, Marcia Miller, 2002-08-01 Explore fractions in a variety of meaningful ways! |
fractions of a whole worksheet: Word Problems, Grade 7 , 2013-12-02 Spectrum(R) Word Problems for grade 7 includes practice for essential math skills, such as real world applications, multi-step word problems, variables, ratio and proportion, perimeter, area and volume, percents, statistics and more. Spectrum(R) Word Problems supplement to classroom work and proficiency test preparation. The series provides examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems. It features practice with word problems that are an essential part of the Common Core State Standards. Word problem practice is provided for essential math skills, such as fractions, decimals, percents, metric and customary measurement, graphs and probability, and preparing for algebra and more. |
fractions of a whole worksheet: Camp Fraction Heidi Lang, Lisa Allan, 2005 Educational title for gifted and advanced learners. |
fractions of a whole worksheet: Strategies for Teaching Fractions David B. Spangler, 2011-08-17 Analyzing student work for error patterns (such as on a diagnostic test) and then providing timely, specific, and meaningful intervention will decrease the probability that the errors will be repeated in the future. Taking into account academic research on how students learn, Spangler provides a practical intervention model and specific hands-on materials for teachers to use when working with the many students who struggle with fractions. The step-by-step intervention strategies illustrated in this book will result in improved student performance and improved student dispositions towards mathematics. It will contain the following elements: reproducibles for fully functional diagnostic tests practice pages for exercises keyed to the diagnostic tests and error patterns, and pages to practice alternative algorithms and estimation teacher resources for hands-on activities, game sheets and pieces, and more--Provided by publisher. |
fractions of a whole worksheet: Prealgebra 2e Lynn Marecek, Maryanne Anthony-Smith, Andrea Honeycutt Mathis, 2020-03-11 The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi. |
fractions of a whole worksheet: Mathseeds Sticker Book Sara Leman, Katy Pike, 2013 ABC MATHSEEDS ACTIVITY books are the perfect way for children to learn their early maths skills. Full of educational and stimulating activities, this book will help children to: count back from 10 and use number lines to 10, identify more and less than, identify 2D shapes, recognise early length, mass and patterns, add to 6. There are 4 books in Level 1 - Starting Out. This level is for children just starting to learn their first maths skills. This is Activity Book 3. It fully supports and reinforces 10 lessons (lessons 21-30) of the ABC Mathseeds program. |
fractions of a whole worksheet: Fractions , 2008-01-01 |
fractions of a whole worksheet: Saxon Math Course 2 Solutions Manual Stephen Hake, Saxon Publishers, 2006-06-01 |
fractions of a whole worksheet: Division Word Problems , 2006 |
fractions of a whole worksheet: The Hershey's Milk Chocolate Bar Fractions Book Jerry Pallotta, 1999 A collection of children's books on the subject of numbers and counting. |
fractions of a whole worksheet: Mathletics - Fractions, Decimals and Percentages 3P Learning Ltd, 2009-01-01 For Year 6 |
fractions of a whole worksheet: Ed Emberley's Picture Pie 2 , 1996 An activity drawing guide by a Caldecott Medalist combines simple instructions and a bound-in stencil for a variety of projects that demonstrate how to create professional-looking posters and displays out of basic shapes. Original. |
fractions of a whole worksheet: Intermediate Algebra 2e Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, 2020-05-06 |
fractions of a whole worksheet: Complete Curriculum, Grade 4 Flash Kids Flash Kids Editors, 2006-07-10 This complete curriculum workbook provides hundreds of fun pages for practicing all the skills your child needs to succeed in the fourth grade. |
fractions of a whole worksheet: Math Mammoth Grade 5-B Worktext Maria Miller, 2023-01-15 |
fractions of a whole worksheet: Fraction Action , 1994 Miss Prime and her animal students explore fractions by finding many examples in the world around them. |
fractions of a whole worksheet: Grade 6 Word Problems Kumon Publishing, 2009-06 This workbook will introduce your child to word problems dealing with adding, subtracting, multiplying and dividing fractions with unlike denominators, as well as working with the concepts of ratio, average, speed and proportion.--Cover. |
fractions of a whole worksheet: Arithmetic with Fractions School Specialty Publishing (Firm), 2005-01-24 Math 2 Master Arithmetic With Fractionsprovides children in grade 5, who are struggling with these concepts, additional instruction and practice. This 32 page workbook features easy-to-understand directions, examples, and strategies with colorful pages and a complete answer key. The first of its kind! OurMath 2 Master seriesoffers children in grades 3 to 6 instruction and practice in specific math skills and concepts. Featuring 12 titles that cover key mathematical concepts that children struggle with including fractions, decimals, percents, algebra, and geometry. This series helps children develop confidence and the skills needed to succeed in the classroom! |
fractions of a whole worksheet: Math Makes Sense 5: v.2. Math makes sense 5 practice and homework book, teacher's edition Ray Appel, Peggy Morrow, Maggie Martin Connell, Pearson Education Canada, 2010 |
fractions of a whole worksheet: Grade 4 Multiplication , 2008-07 Our Calculation Workbooks follow the Kumon Method, a proven learning system that helps children succeed and excel in math. Kumon Workbooks gradually introduce new topics in a logical progression and always include plenty of practice. As a result, children master one skill at a time and move forward without anxiety or frustration. |
fractions of a whole worksheet: IXL Math Workbook: Grade 4 Fractions and Decimals IXL Learning, 2019-04-22 IXL Grade 4 Fractions & Decimals Math Workbook Fun Math Practice for Ages 9-10 |
fractions of a whole worksheet: Grade 2 Subtraction Takashi Ono, 2008-06 Our Calculation Workbooks follow the Kumon Method, a proven learning system that helps children succeed and excel in math. Kumon Workbooks gradually introduce new topics in a logical progression and always include plenty of practice. As a result, children master one skill at a time and move forward without anxiety or frustration. |
fractions of a whole worksheet: Grade 1 Addition , 2008-06 Our Calculation Workbooks follow the Kumon Method, a proven learning system that helps children succeed and excel in math. Kumon Workbooks gradually introduce new topics in a logical progression and always include plenty of practice. As a result, children master one skill at a time and move forward without anxiety or frustration. |
fractions of a whole worksheet: Math 2011 Student Edition (Consumable) Grade K Plus Digital 1-Year License Randall Inners Charles, Scott Foresman, 2009 Envision a math program that engages your students as it strengthens their understanding of math. enVisionMATH uses problem based interactive learning and visual learning to deepen conceptual understanding. It incorporates bar diagram visual tools to help students be better problem solvers, and it provides data-driven differentiated instruction to ensure success for every student. The best part, however, is that this success is proven by independent, scientific research. Envision more, enVisionMATH! |
fractions of a whole worksheet: In Step Maths Workbook 4A Part 1 , |
fractions of a whole worksheet: Fabulous Fractions AIMS Education Foundation, 2011 |
fractions of a whole worksheet: Math Mammoth Grade 4-B Worktext Maria Miller, 2018-08-30 Math Mammoth Grade 4-B is the student worktext for the second half of grade 4 mathematics studies, as part of the Math Mammoth Grade 4 curriculum. It covers the following topics: division, factoring, geometry, fractions, and decimals. This particular book is the version with gray-scale (or black-and-white) interior pages. |
fractions of a whole worksheet: Stepping it Up John Tobey, Michael Delgaty, 2013 |
fractions of a whole worksheet: Grade 4 Worksheets - Math Fractions & Decimals, HomeSchool Ready +4000 Questions Teresa Marek, Andrew Marek, KewlActiveMinds(TM) Workbooks and Practice Worksheets are immersive self-study tools that encourage and stimulate your child’s mind, while at the same time letting them have fun learning! Each section is devoted to a specific task, with a structured format to avoid distractions and short enough problems to hold attention. Very easy to use and understand to teach your child with simple, clear lessons and easy to follow exercises presented in an interactive way. A fun and challenging approach to plant the seeds of eagerness to learn and to keep your child’s mind sharp. Use daily, a page or two, to keep your child engaged, not taking too long so children don’t get bored while building a child’s capabilities and confidence! The Books a great addition to regular learning routines and a good method for parents to cope with distance learning. BENEFITS Through completing questions we hope to enhance your child’s comprehension, active use and development of: • REASONING • PROBLEM SOLVING • COMMUNICATION • CONFIDENCE • MOTIVATION EASY TO USE & ADDITIONAL RESOURCES The books are designed to be easy to use, with sequentially numbered Questions and Answer Keys at the end of each Part to allow you to flip back and forth quickly. QR Codes for your smartphone take you to Parent Resources that provide additional support! BONUS CONTENT 1. Success Tracking Sheets - Recording sheets are included to help track a child’s progress through the Book and for individual sections, to show how they progress over time. 2. Parts Quizzes - Mixed question quizzes are included at the end of every Part to show how well your child has grasped the concepts throughout the material. 3. Downloadable Resources - You can use clear overlay sheets to preserve the practice worksheets and download additional Tracking Sheets as a means of cost-effective use of learning resources. |
fractions of a whole worksheet: Patterns in Arithmetic Alysia Krafel, Suki Glenn, Susan Carpenter, 2007 |
fractions of a whole worksheet: In Step Maths Workbook 5A Part 2 , |
fractions of a whole worksheet: Practice Makes Perfect Multiplication and Division Gary Robert Muschla, 2012-04-06 Helpful instruction and plenty of practice for your child to understand the basics of multiplication and division Understanding multiplying and dividing is essential for your child to do math problems with confidence. Practice Makes Perfect: Multiplication and Division gives your child bite-sized explanations of the subjects, with engaging exercises that keep her or him motivated and excited to learn. They can practice the problems they find challenging, polish skills they’ve mastered, and stretch themselves to explore skills they have not yet attempted. This book features exercises that increase in difficulty as your child proceeds through it. This book is appropriate for a 4th grade student working above his or her grade level, or as a great review and practice for a struggling 5th or 6th grader. |
fractions of a whole worksheet: Math Phonics - Fractions & Decimals (ENHANCED eBook) Marilyn B. Hein, 2002-03-01 A specially designed program using rules, patterns and memory techniques similar to those found in language arts to teach difficult math concepts to children. Included in this bonus book are 10 all new lesson plans, including worksheets, take-home pages and a variety of support materials to teach fractions and decimals. |
fractions of a whole worksheet: Perfect Genius NCERT Mathematics Worksheets for Class 4 (based on Bloom's taxonomy) 2nd Edition Disha Experts, 2019-07-10 Perfect Genius is a collection of selfindulging user friendly worksheets (designed in 2 colour format) which is based on Bloom’s Taxonomy. As per the Bloom’s Taxonomy, there are six learning stages which shows the shift from the lower order thinking skills towards the higher order thinking skills Knowledge, Comprehension, Application, Analysis, Evaluation & Creation. Perfect Genius NCERT Mathematics Worksheets for Class 4 (based on Bloom's taxonomy) is the scientifically designed workbook which has the following features: 1. Follows and Designed as per the NCERT syllabus. 2. Unlike regular books which try only to find out how much a child knows, the Perfect Genius worksheets measure how well a student has understood concepts. 3. Covers 103 skills in the form of 103 worksheets on Scholastic Areas (Mathematics), Life Skills, Attitude and Values. 4. The solutions to the 103 worksheets are provided at the end of the workbook. 5. The workbook follows the National Curricular Framework, NCF 2005. 6. These worksheets have been classified in the 6 learning stages of Bloom's Taxonomy. Benefits of Perfect Genius: 1. Builds a Strong Foundation for NTSE, Olympiads, IITJEE and other exams. 2. Perfect Genius does not restrict to the academic requirements but will question the students on various aspects required for a Good Intelligence Quotient. 3. The exercises generate enough triggers for students to expand their learning horizons. The questions designed aid in the establishment and encouragement of critical thinking. 4. The students will be able to present and create opinions and make judgments developing the higher order thinking skills. 5. The student will develop not only scholastic abilities but there will be an overall holistic development Life Skills, Attitude, Values. As children are most receptive to learning during young age, a time when they are not influenced by a lot of external factors. So the right time is to start NOW. |
Fractions of a Whole - Houston Independent School District
• Students demonstrate understanding of fractions by rephrasing the definitions of numerator and denominator in their own words. • Write a fraction on the board.
Fractions Student Workbook #1 Fractions: A fraction is a part of …
For example, if we divide 1 whole pizza into 2 equal parts, as shown in the figure below, we can say that the pizza is halved, and each half is a fraction of the whole pizza.
Lesson 197 • Whole number fractions - assets.ctfassets.net
To help students understand whole number fractions, be clear on the format of a fraction: the numerator is the number of parts indicated and the denominator is the type #5 of fraction.
Word Problems Fraction by Whole Number - learnbright.org
Word Problems – Fractions by Whole Number Solving word problems are the most important part of math, because it is the application of the skills that will help us in the real world. It is important to …
Multiplying fractions by whole numbers word problems worksheet
Multiplying fractions by whole numbers Grade 4 Word Problems Worksheet 1. Ashley and four friends went trick-or-treating. Each of them got 4 5 of a bag of treats. How many bags of treats …
Lesson Topic: Fractions – Multiples of Unit Fractions to make …
Lesson Topic: Fractions – Multiples of Unit Fractions to make one whole Concept/s in Focus: • Fractions are parts of a whole that has been divided into equal parts.
Fractions Worksheet - Homeschool Math
Permission to copy: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without permission.
Fractions of Numbers - myfreemathworksheets.com
How to find a fraction of a number. Step 1: Divide the whole number by the denominator. Step 2: Multiply that answer by the numerator. And 6 is your answer! Remember to tell yourself... Let’s …
Fractions Of Whole Numbers Worksheets | Worksheet 2
Fractions Of Whole Numbers Worksheets | Worksheet 2 Author: cuemath Subject: Math Worksheets Keywords: Printable PDFs for Fractions Of Whole Numbers Worksheets,Download free PDFs for …
Fraction Competency Packet - North Shore
Boosting: Rewriting a fraction as an equivalent fraction with a higher denominator. Denominator: Bottom number of a fraction indicating how many parts make a whole. Difference: The result …
Key Stage 2: Year 6: Divide proper fractions by whole numbers
Number: Fractions: Children will divide proper fractions by whole numbers 1 8 1 20 7 96 1 6 1 27 1 4 3 40 3 70 7 24 2 15 1 5 5 56 1 24 2 15 7 81 1 9 2 25 2 9 1 25 1 20 5 84 1 18 2 21 3 20 1 9 1 30 1 24 …
Fractions of a Whole - mathinenglish.com
What fraction of a whole do the shaded parts form ?
Multiplying Fractions by Whole Numbers - Common Core Sheets
Multiplying Fractions by Whole Numbers Math www.CommonCoreSheets.com Name: Answers 1 Answer Key
Review of Operations of Fractions Worksheet #2 - Central …
Review of Operations of Fractions – Worksheet #2 Multiplying Fractions and Whole Numbers - Answers must be in SIMPLEST FORM 1. 3 4 x 12 = _____ 2. 2 3 x 8 = _____ Multiplying Proper …
Fractions to Whole Numbers Name: Answer Key Answers
Write 10 as a fraction with 10 in the denominato.
Multiplying Fractions by Whole Numbers Word Problems
Multiplying Fractions by Whole Numbers Word Problems 1. James is having a pizza party. Each person at the party eats 3/8 of a pizza. If 6 people attend the party, how many slices of pizza did …
Multiplying fractions by whole numbers - K5 Learning
Grade 6 Fraction Worksheet - Multiplying fractions by whole numbers Author: K5 Learning Subject: Grade 6 Fraction Worksheet Keywords: Grade 6 Fraction Worksheet - Multiplying fractions by …
Multiplying Fractions by Whole Numbers (visual) - Common …
fractions below 3 times we can see a visual representation of the problem. 2¤ 4 × 3 = 1 2¤ 4 After shading it in we can see why 2/4 three times is equal to 1 whole and 2¤ 4. 1. 0 9¤ 12 2. 0 6¤ 12 3. …
Multiplying fractions by whole numbers word problems worksheet
12 bag of seeds for 6 acres of land. He uses 33 bag of seeds. 2 is between 2 and 3. So, grandma needs to buy 3 pumpkins. 1 is between 6 and 7. So, Jack needs to buy 7 medium-sized potatoes.
Fractions of a Whole - Houston Independent School District
• Students demonstrate understanding of fractions by rephrasing the definitions of numerator and denominator in their own words. • Write a fraction on the board.
Fractions Student Workbook #1 Fractions: A fraction is a part …
For example, if we divide 1 whole pizza into 2 equal parts, as shown in the figure below, we can say that the pizza is halved, and each half is a fraction of the whole pizza.
Lesson 197 • Whole number fractions - assets.ctfassets.net
To help students understand whole number fractions, be clear on the format of a fraction: the numerator is the number of parts indicated and the denominator is the type #5 of fraction.
Word Problems Fraction by Whole Number - learnbright.org
Word Problems – Fractions by Whole Number Solving word problems are the most important part of math, because it is the application of the skills that will help us in the real world. It is …
Multiplying fractions by whole numbers word problems …
Multiplying fractions by whole numbers Grade 4 Word Problems Worksheet 1. Ashley and four friends went trick-or-treating. Each of them got 4 5 of a bag of treats. How many bags of treats …
Lesson Topic: Fractions – Multiples of Unit Fractions to make …
Lesson Topic: Fractions – Multiples of Unit Fractions to make one whole Concept/s in Focus: • Fractions are parts of a whole that has been divided into equal parts.
Fractions Worksheet - Homeschool Math
Permission to copy: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without permission.
Fractions of Numbers - myfreemathworksheets.com
How to find a fraction of a number. Step 1: Divide the whole number by the denominator. Step 2: Multiply that answer by the numerator. And 6 is your answer! Remember to tell yourself... Let’s …
Fractions Of Whole Numbers Worksheets | Worksheet 2
Fractions Of Whole Numbers Worksheets | Worksheet 2 Author: cuemath Subject: Math Worksheets Keywords: Printable PDFs for Fractions Of Whole Numbers …
Fraction Competency Packet - North Shore
Boosting: Rewriting a fraction as an equivalent fraction with a higher denominator. Denominator: Bottom number of a fraction indicating how many parts make a whole. Difference: The result …
Key Stage 2: Year 6: Divide proper fractions by whole numbers
Number: Fractions: Children will divide proper fractions by whole numbers 1 8 1 20 7 96 1 6 1 27 1 4 3 40 3 70 7 24 2 15 1 5 5 56 1 24 2 15 7 81 1 9 2 25 2 9 1 25 1 20 5 84 1 18 2 21 3 20 1 9 …
Fractions of a Whole - mathinenglish.com
What fraction of a whole do the shaded parts form ?
Multiplying Fractions by Whole Numbers - Common Core …
Multiplying Fractions by Whole Numbers Math www.CommonCoreSheets.com Name: Answers 1 Answer Key
Review of Operations of Fractions Worksheet #2 - Central …
Review of Operations of Fractions – Worksheet #2 Multiplying Fractions and Whole Numbers - Answers must be in SIMPLEST FORM 1. 3 4 x 12 = _____ 2. 2 3 x 8 = _____ Multiplying …
Fractions to Whole Numbers Name: Answer Key Answers
Write 10 as a fraction with 10 in the denominato.
Multiplying Fractions by Whole Numbers Word Problems
Multiplying Fractions by Whole Numbers Word Problems 1. James is having a pizza party. Each person at the party eats 3/8 of a pizza. If 6 people attend the party, how many slices of pizza …
Multiplying fractions by whole numbers - K5 Learning
Grade 6 Fraction Worksheet - Multiplying fractions by whole numbers Author: K5 Learning Subject: Grade 6 Fraction Worksheet Keywords: Grade 6 Fraction Worksheet - Multiplying …
Multiplying Fractions by Whole Numbers (visual) - Common …
fractions below 3 times we can see a visual representation of the problem. 2¤ 4 × 3 = 1 2¤ 4 After shading it in we can see why 2/4 three times is equal to 1 whole and 2¤ 4. 1. 0 9¤ 12 2. 0 6¤ …
Multiplying fractions by whole numbers word problems …
12 bag of seeds for 6 acres of land. He uses 33 bag of seeds. 2 is between 2 and 3. So, grandma needs to buy 3 pumpkins. 1 is between 6 and 7. So, Jack needs to buy 7 medium-sized potatoes.