| challenging math problems for 4th graders: Open Middle Math Robert Kaplinsky, 2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking. |
| challenging math problems for 4th graders: Singapore Math Challenge, Grades 2 - 5 Frank Schaffer Publications, 2013-02-01 Get ready to take the Math Challenge! Singapore Math Challenge will provide second grade students with skill-building practice based on the leading math program in the world, Singapore Math! Common Core Standards accelerate math expectations for all students, creating a need for challenging supplementary math practice. Singapore Math Challenge is the ideal solution, with problems, puzzles, and brainteasers that strengthen mathematical thinking. Step-by-step strategies are clearly explained for solving problems at varied levels of difficulty. A complete, worked solution is also provided for each problem. -- Singapore Math Challenge includes the tools and practice needed to provide a strong mathematical foundation and ongoing success for your students. The Common Core State Standards cite Singapore math standards as worldwide benchmarks for excellence in mathematics. |
| challenging math problems for 4th graders: Singapore Math Challenge Word Problems, Grades 3 - 5 , 2019-04-04 GRADE 3–5/AGES 8–9: This book helps children find a variety of intriguing problems and problem-solving methods. Using the tips offered, solving these problems will help students develop skill as a mathematical thinker. INCLUDES: An introduction explaining the Singapore Math method, common word problems found on assessments, and an answer key with worked out solutions that help students see how to work the problems. WHY SINGAPORE MATH: Many students struggle with word problems. The Singapore Math curriculum aims to help students develop necessary concepts and skills for everyday life. COMPREHENSIVE: Key concepts are introduced and built-on to reinforce mathematical ideas and thinking. Features one problem per page, so as not to be overwhelming to young learners. HOMESCHOOL FRIENDLY: Perfect as a supplement to classroom work or as a homeschool resource, this series is perfect for students who are ready to apply what they know to real-world scenarios. |
| challenging math problems for 4th graders: Singapore Math Challenge Word Problems, Grades 4 - 6 , 2019-04-04 GRADE 4/AGES 9–10: This book helps children find a variety of intriguing problems and problem-solving methods. Using the tips offered, solving these problems will help students develop skill as a mathematical thinker. INCLUDES: An introduction explaining the Singapore Math method, common word problems found on assessments, and an answer key with worked out solutions that help students see how to work the problems. WHY SINGAPORE MATH: Many students struggle with word problems. The Singapore Math curriculum aims to help students develop necessary concepts and skills for everyday life. COMPREHENSIVE: Key concepts are introduced and built-on to reinforce mathematical ideas and thinking. Features one problem per page, so as not to be overwhelming to young learners. HOMESCHOOL FRIENDLY: Perfect as a supplement to classroom work or as a homeschool resource, this series is perfect for students who are ready to apply what they know to real-world scenarios. |
| challenging math problems for 4th graders: 200 Challenging Math Problems Every 2nd Grader Should Know Learn 2 Think Pte Ltd, 2012-10-18 This work book provides practice in all major topics of Grade 2. It will greatly boost child's critical thinking and problem solving skills. It is guaranteed to improve your child's math and success at school. The multi-step problem solving exercises in the book involve several math concepts. Student will learn more from these exercises than doing ten worksheets on the same math concepts. Another valuable resource to enhance your child's thinking skills is the '5- Minute Math Thinkers' series. |
| challenging math problems for 4th graders: Challenging Math Problems Terry Stickels, 2015-10-21 This best-of compilation features 101 of the most entertaining and challenging math puzzles ever published. No advanced knowledge of mathematics is necessary, just solid thinking and puzzle-solving skills. Includes complete solutions. |
| challenging math problems for 4th graders: Math Recess Sunil Singh, Brownell S. Christopher, 2019-03-26 In the theme of recess, this book holds a deep and imaginative collection of fun mathematical ideas, puzzles, and problems. Written for anyone interested in or actively engaged in schools-parents, teachers, administrators, school board members-this book shows math as a playful, fun, and wonderfully human activity that everyone can enjoy. |
| challenging math problems for 4th graders: Grade 4 Word Problems Kumon Publishing, 2009 Kumon's Word Problems Workbooks develop the skills necessary for children's success using math inside and outside the classroom. Our unique step-by-step progression introduces children to a wide variety of word problems that inspire critical thinking. Grade 4 Word Problems focuses on word problems that cover the following topics Division Decimals Using Formulas Mixed Calculations Tables and Graphs |
| challenging math problems for 4th graders: Math Word Problems Sullivan Associates Staff, 1972 |
| challenging math problems for 4th graders: Primary Grade Challenge Math Edward Zaccaro, 2003-06-01 Offers a higher level of material that goes beyond calculation skills for children in the primary grades. |
| challenging math problems for 4th graders: Problemoids Bill McCandliss, Albert Watson, 1982 |
| challenging math problems for 4th graders: 200 Challenging Math Problems Every 3rd Grader Should Know Learn 2 Think Pte Ltd, 2012-10-18 This work book provides practice in all major topics of Grade 3. It will greatly boost child's critical thinking and problem solving skills. It is guaranteed to improve your child's math and success at school. The multi-step problem solving exercises in the book involve several math concepts. Student will learn more from these exercises than doing ten worksheets on the same math concepts. Another valuable resource to enhance your child's thinking skills is the 5- Minute Math Thinkers series. |
| challenging math problems for 4th graders: Math Challenges for the Critical Thinker, Grades 5 - 8 , 2012-10-22 Challenge students to think outside of the box! Supplement curriculum with creative math that will enhance students' abilities to problem solve, learn and apply strategies, and think critically. Answer keys are included. |
| challenging math problems for 4th graders: Word Problems Carson-Dellosa Publishing Staff, 2005-01-24 Math 2 Master Word Problemsprovides children in grade 4, 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! |
| challenging math problems for 4th graders: Good Questions for Math Teaching Peter Sullivan, Pat Lilburn, 2002 Open-ended questions, coined ï¿1⁄2good questionsï¿1⁄2 by the authors, can prompt children to think creatively and critically. This useful book helps teachers define ï¿1⁄2good questions,ï¿1⁄2 offers teachers tips on how to create their own good questions, and presents a wide variety of sample questions that span 16 mathematical topics, including number, measurement, geometry, probability, and data. |
| challenging math problems for 4th graders: Beast Academy Guide 4A Jason Batterson, 2013-08-14 Beast Academy Guide 4A and its companion Practice 4A (sold separately) are the first part in the planned four-part series aligned to the Common Core State Standards for 4th grade mathematics. Level 4A includes chapters on shapes, multiplication, and exponents. |
| challenging math problems for 4th graders: Classroom-Ready Rich Math Tasks, Grades 4-5 Beth McCord Kobett, Francis (Skip) Fennell, Karen S. Karp, Delise Andrews, Sorsha-Maria T. Mulroe, 2021-04-14 Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don’t have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades 4-5 details more than 50 research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students’ strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible. |
| challenging math problems for 4th graders: 200 Challenging Math Problems Every 6th Grader Should Know Learn 2 Think Pte Ltd, 2012-10-18 This work book provides practice in all major topics of Grade 1. It will greatly boost child's critical thinking and problem solving skills. It is guaranteed to improve your child's math and success at school. The multi-step problem solving exercises in the book involve several math concepts. Student will learn more from these exercises than doing ten worksheets on the same math concepts. Another valuable resource to enhance your child's thinking skills is the '5- Minute Math Thinkers' series. |
| challenging math problems for 4th graders: Challenge Math Edward Zaccaro, 2005 This book makes independent learning easy for both the student and the teacher (even those whose math skills are a little rusty). The fun activities in this book teach difficult concepts in areas such as statistics, probability, algebra, physics, trigonometry, astronomy, and calculus. Grades 3-9 |
| challenging math problems for 4th graders: Singapore Math, Grade 4 , 2015-01-05 Singapore Math creates a deep understanding of each key math concept, includes an introduction explaining the Singapore Math method, is a direct complement to the current textbooks used in Singapore, and includes step-by-step solutions in the answer key. Singapore Math, for students in grades 2 to 5, provides math practice while developing analytical and problem-solving skills. This series is correlated to Singapore Math textbooks and creates a deep understanding of each key math concept. Learning objectives are provided to identify what students should know after completing each unit, and assessments are included to ensure that learners obtain a thorough understanding of mathematical concepts. Perfect as a supplement to classroom work, these workbooks will boost confidence in problem-solving and critical-thinking skills! |
| challenging math problems for 4th graders: Beast Academy Guide 2A Jason Batterson, 2017-09 Beast Academy Guide 2A and its companion Practice 2A (sold separately) are the first part in the planned four-part series for 2nd grade mathematics. Book 2A includes chapters on place value, comparing, and addition. |
| challenging math problems for 4th graders: Spectrum Math Workbook, Grade 4 , 2014-08-15 Spectrum Math for grade 4 keeps kids at the top of their math game using progressive practice, math in everyday settings, and tests to monitor progress. The math workbook covers multiplication, division, fractions, geometric figures, and preparing for algebra. A best-selling series for well over 15 years, Spectrum still leads the way because it works. It works for parents who want to give their child a leg up in math. It works for teachers who want their students to meet—and surpass—learning goals. And it works to help children build confidence and advance their skills. No matter what subject or grade, Spectrum provides thorough practice and focused instruction to support student success. |
| challenging math problems for 4th graders: The Ultimate Grade 4 Math Workbook (IXL Workbooks) IXL Learning, 2019-12 IXL The Ultimate Grade 4 Math Workbook Multi-Digit Multiplication, Long Division, Addition, Subtraction, Fractions, Decimals, Measurement, and Geometry for Classroom or Homeschool Curriculum |
| challenging math problems for 4th graders: 200 Challenging Math Problems Every 1st Grader Should Know Learn 2 Think Pte Ltd, 2012-10-18 This work book provides practice in all major topics of Grade 1. It will greatly boost child's critical thinking and problem solving skills. It is guaranteed to improve your child's math and success at school. The multi-step problem solving exercises in the book involve several math concepts. Student will learn more from these exercises than doing ten worksheets on the same math concepts. Another valuable resource to enhance your child's thinking skills is the 5- Minute Math Testers series. |
| challenging math problems for 4th graders: Let's Play Math Denise Gaskins, 2012-09-04 |
| challenging math problems for 4th graders: Ask a Manager Alison Green, 2018-05-01 From the creator of the popular website Ask a Manager and New York’s work-advice columnist comes a witty, practical guide to 200 difficult professional conversations—featuring all-new advice! There’s a reason Alison Green has been called “the Dear Abby of the work world.” Ten years as a workplace-advice columnist have taught her that people avoid awkward conversations in the office because they simply don’t know what to say. Thankfully, Green does—and in this incredibly helpful book, she tackles the tough discussions you may need to have during your career. You’ll learn what to say when • coworkers push their work on you—then take credit for it • you accidentally trash-talk someone in an email then hit “reply all” • you’re being micromanaged—or not being managed at all • you catch a colleague in a lie • your boss seems unhappy with your work • your cubemate’s loud speakerphone is making you homicidal • you got drunk at the holiday party Praise for Ask a Manager “A must-read for anyone who works . . . [Alison Green’s] advice boils down to the idea that you should be professional (even when others are not) and that communicating in a straightforward manner with candor and kindness will get you far, no matter where you work.”—Booklist (starred review) “The author’s friendly, warm, no-nonsense writing is a pleasure to read, and her advice can be widely applied to relationships in all areas of readers’ lives. Ideal for anyone new to the job market or new to management, or anyone hoping to improve their work experience.”—Library Journal (starred review) “I am a huge fan of Alison Green’s Ask a Manager column. This book is even better. It teaches us how to deal with many of the most vexing big and little problems in our workplaces—and to do so with grace, confidence, and a sense of humor.”—Robert Sutton, Stanford professor and author of The No Asshole Rule and The Asshole Survival Guide “Ask a Manager is the ultimate playbook for navigating the traditional workforce in a diplomatic but firm way.”—Erin Lowry, author of Broke Millennial: Stop Scraping By and Get Your Financial Life Together |
| challenging math problems for 4th graders: Singapore Math Challenge, Grades 5 - 8 , 2013-02-01 Get ready to take the Math Challenge! Singapore Math Challenge will provide fifth grade students with skill-building practice based on the leading math program in the world, Singapore Math! Common Core Standards accelerate math expectations for all students, creating a need for challenging supplementary math practice. Singapore Math Challenge is the ideal solution, with problems, puzzles, and brainteasers that strengthen mathematical thinking. Step-by-step strategies are clearly explained for solving problems at varied levels of difficulty. A complete, worked solution is also provided for each problem. Singapore Math Challenge includes the tools and practice needed to provide a strong mathematical foundation and ongoing success for your students. The Common Core State Standards cite Singapore math standards as worldwide benchmarks for excellence in mathematics. |
| challenging math problems for 4th graders: 100 Word Problems Brainchimp, 2016-02-12 100 Word Problems : Grade 4 Math Workbook is an exclusive BrainChimp book packed with carefully selected exercises to stimulate your child's Brain and develop a keen interest in the practical application of Math skills. These Math Word Problems help children practice and reinforce the essential math skills they learn in school. Regular targeted practice is a proven method of helping children reach their maximum potential and perform better on important standardized tests. The aim of this book is to develop logic and reasoning skills while building better math problem-solving skills and improving self-confidence. The BrainChimp series of books are designed to stimulate the minds of children and empower them with the skills to be more successful in school and beyond. Answer Key is included to measure progress and guide practice. Features: - Word Problems for children Grade-5 (Ages 10-11). - 100 carefully selected word problems. - Detailed Answers in a separate Answer Key Section. - Work area for every problem to work out the solutions. Skills Covered: - Addition - Subtraction - Multiplication - Division - Geometry - Money - Time - Fractions - Decimals - Logic - And much more |
| challenging math problems for 4th graders: 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. |
| challenging math problems for 4th graders: 200 Challenging Math Problems Every 4th Grader Should Know Learn 2 Think Pte Ltd, 2012-10-18 This work book provides practice in all major topics of Grade 4. It will greatly boost child's critical thinking and problem solving skills. It is guaranteed to improve your child's math and success at school. The multi-step problem solving exercises in the book involve several math concepts. Student will learn more from these exercises than doing ten worksheets on the same math concepts. Another valuable resource to enhance your child's thinking skills is the '5- Minute Math Thinkers' series. |
| challenging math problems for 4th graders: Harcourt Math: Challenge Workbook Grade 5 Harcourt School Publishers, 2002-04 |
| challenging math problems for 4th graders: Getting Ready for the 4th Grade Assessment Tests Erika Warecki, 2002 Getting Ready for the 4th Grade Assessment Test: Help Improve Your Child’s Math and English Skills – Many parents are expressing a demand for books that will help their children succeed and excel on the fourth grade assessment tests in math and English –especially in areas where children have limited access to computers. This book will help students practice basic math concepts, i.e., number sense and applications as well as more difficult math, such as patterns, functions, and algebra. English skills will include practice in reading comprehension, writing, and vocabulary. Rubrics are included for self-evaluation. |
| challenging math problems for 4th graders: Daily Word Problems Grade 1 Evan-Moor Educational Publishers, 2001-10 Each week of problems for first grade centers on a different animal. Accurate facts about the animal are presented to make the problems more realistic. Mathematic skills practiced include: - addition and subtraction facts - column addition - 2- and 3-digit addition and subtraction - counting by 2s, 5s, and 10s - reading and interpreting graphs and charts - reading and writing numbers and number words - fractions - time - money - measurement |
| challenging math problems for 4th graders: Grade 2 Word Problems Kumon Publishing, 2009 Grade 2 workbook introduces word problems with multiple-digit addition and subtraction. |
| challenging math problems for 4th graders: Horizons Math Home School Curriculum Kit Alpha Omega Publications, Incorporated, 1999-05 Brightly illustrated lessons and a variety of activities make learning math fun, and comprehensive Teacher s Handbooks make it easy to chart your child s progress. Student workbooks provide a balanced and well-organized approach to primary math through analytical reasoning, manipulatives, memorization, and drill. Every concept, from addition and subtraction to graphs and estimation, follows a deliberate pattern of introduction and gradual development to ensure student success. Fundamental concepts already learned in earlier units are reviewed in subsequent grade levels for true mastery. Each boxed set contains two full-color student workbooks with perforated pages for easy removal, tests for every 10 lessons, and a spiral-bound Teacher's Handbook. The Teacher's Handbook takes you step-by-step, lesson-by-lesson, through the entire school year and includes a Readiness Evaluation for students, reduced student pages with answers for easy correction of student work, handy teaching tips, and more. Individual Student and Teacher Books are also available. |
| challenging math problems for 4th graders: Teaching Struggling Readers to Tackle Math Word Problems Audrey Trapolsi, 2012 This collection of practical surefire strategies will help every learner in class untangle word problems and approach problem solving with new confidence! |
| challenging math problems for 4th graders: 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. |
| challenging math problems for 4th graders: Math Minutes, 4th Grade, eBook Sarah Fornara, Helps to build basic arithmetic skills, increase speed, and improve problem-solving skills with one hundred ready-to-reproduce pages that are composed of ten problems ranging in difficulty. |
| challenging math problems for 4th graders: Challenging Math Problems Terry Stickels, 2015-10-21 Fun and highly formidable math problems and puzzles from noted puzzle creator Terry Stickels. — Window on Resources Two friends wish to meet for breakfast twice a month throughout the year. In how many ways can they choose those two days so that they never meet on consecutive days? You want to measure 30 seconds and you have two pieces of string, each of which burns for 40 seconds. How can you accomplish this without bending, folding, or cutting the strings? A positive whole number is divisible by 3 and also by 5. When the number is divided by 7, the remainder is 5. What is the smallest number that could work? These are but a few of this book's assembly of the most challenging puzzles imaginable ― and they require no background in higher math, just good thinking skills. Terry Stickels, a well-known puzzle-maker, has compiled 101 of some of the best and most entertaining problems ever published. All of the challenges, which range from probability puzzles to dice games, have two things in common: each offers the Aha! moment of discovery that puzzle-solvers love, and they're all fun. Complete solutions for all puzzles explain every detail. |
| challenging math problems for 4th graders: 50 Leveled Math Problems Level 4 Linda Dacey, 2012-04-01 It includes: 50 leveled math problems (150 problems total), an overview of the problem-solving process, and ideas for formative assessment of students' problem-solving abilities. It also includes 50 mini-lessons and a dstudent activity sheet featuring a problem tiered at three levels, plus digital resources that inc electronic versions of activity sheets. This resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills, and supports core concepts of STEM instruction. |
CHALLENGING Synonyms: 176 Similar and Opposite Words - Merriam-Webster
Synonyms for CHALLENGING: difficult, tough, rigorous, demanding, hard, formidable, complicated, heavy; Antonyms of CHALLENGING: easy, simple, light, soft, effortless, clear, …
211 Synonyms & Antonyms for CHALLENGING - Thesaurus.com
Find 211 different ways to say CHALLENGING, along with antonyms, related words, and example sentences at Thesaurus.com.
CHALLENGING | English meaning - Cambridge Dictionary
CHALLENGING definition: 1. difficult, in a way that tests your ability or determination: 2. difficult, in a way that tests…. Learn more.
Challenging - definition of challenging by The Free Dictionary
Requiring the full application of one's abilities, attention, or resources: a challenging role for an inexperienced performer; a challenging homework assignment. American Heritage® …
CHALLENGING definition and meaning | Collins English Dictionary
A challenging task or job requires great effort and determination. Mike found a challenging job as a computer programmer. I'm ready to do all those things which are more challenging. If you do …
challenging adjective - Definition, pictures, pronunciation and …
difficult not easy; needing effort or skill to do or understand: The test questions were extremely difficult. It is difficult for young people to find jobs around here. demanding difficult to do or deal …
Challenging - Definition, Meaning, and Examples in English
Used to describe something that tests abilities or determination, but usually in a stimulating or positive way. A general term for something that is not easy to do or understand. It can …
CHALLENGING Definition & Meaning - Dictionary.com
Challenging definition: offering a challenge; testing one's ability, endurance, etc.. See examples of CHALLENGING used in a sentence.
CHALLENGING Definition & Meaning - Merriam-Webster
The meaning of CHALLENGING is arousing competitive interest, thought, or action. How to use challenging in a sentence.
What does challenging mean? - Definitions.net
Challenging refers to something that requires significant effort, skill or resilience to undertake or accomplish due to its complexity, difficulty or demand. It often implies a task, problem, or …
CHALLENGING Synonyms: 176 Similar and Opposite Words
Synonyms for CHALLENGING: difficult, tough, rigorous, demanding, hard, formidable, complicated, heavy; Antonyms of CHALLENGING: easy, …
211 Synonyms & Antonyms for CHALLENGING - Thesaurus.c…
Find 211 different ways to say CHALLENGING, along with antonyms, related words, and example …
CHALLENGING | English meaning - Cambridge Diction…
CHALLENGING definition: 1. difficult, in a way that tests your ability or determination: 2. difficult, in a way …
Challenging - definition of challenging by The Free Dicti…
Requiring the full application of one's abilities, attention, or resources: a challenging role for an inexperienced performer; a challenging homework …
CHALLENGING definition and meaning | Collins English Dict…
A challenging task or job requires great effort and determination. Mike found a challenging job as a computer …
