
Measurement


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Great Estimations Author: Bruce Goldstone Illustrator: Several photographers Publisher: Henry Holt and Company, LLC Copyright: 2006 ISBN: 9780805074468 Number of Pages: 32 Ohio Standards Alignment: Grades 3–4
Bright and colorful photographs help readers learn how to make great estimations using techniques such as eye training, clump counting, and boxing. In eye training, readers practice looking at groups of 10, 20, 50, and 100 items to better estimate how many objects are in a given group. Clump counting consists of visually dividing a group into clumps of, say, 10 objects each and then counting the number of clumps. Boxing consists of counting the typical number of objects in a fixed area, or box, and then multiplying the average number times the number of boxes required to cover the whole population. These techniques prepare the reader to make a great estimate of how many jelly beans are in a large bowl at the end of the book.
Go to: How to Use This Book Highlights and Insights Related ORC Resources Ohio Standards


How to Use This Book

 This book can be used to introduce and/or supplement instruction on estimation.
 Students could read the book in small groups then make, compare, and justify estimates made for the various examples in the book.
 After reading this book, students could create their own estimation pictures by using one of the techniques discussed in the book. They could then challenge one another to estimate the number of objects in each picture.
 This book could start a discussion regarding large numbers  1 million, 1 billion, 1 trillion, etc. Students could use the techniques to estimate what a million, billion, or trillion objects look like compared to each other, thus developing number sense as well as estimation skills.
 The estimation techniques could be compared to other estimation techniques mathematicians and scientists use, such as ratio and proportion to measure tall objects and capturerecapture techniques to estimate populations.
 For homework, the class could be asked to bring in a number of objects. The teacher could put all the objects together and have the class estimate the total number of objects using one of the strategies mentioned in the book.


Highlights and Insights

 Most students have been exposed to a situation where they can win a prize by estimating how many objects are in a jar. Estimation is a hard skill to teach to students. This book offers easy to understand and usable techniques for making estimations. The colorful pictures encourage lively discussion around estimations.
 The techniques in this book are good for developing number sense as well as for making estimates.
 This book is a good vehicle for implementing mathematical discussions in the classroom as a large group, in small groups, or with partners.


Related ORC Resources

Count on Math 1: Every Breath You Take Resource Type: Lessons Discipline: Mathematics Grades: Grades 3–6 Professional Commentary: In this first of two lessons on developing number sense, each student estimates the number of times s/he breathes in one hour, and the class graphs the estimates, finds the mean and median estimates, and discusses outliers. Students then explore how they might estimate the number of times they breathe in one day and how they... An Apple a Day : Math Grows Up (Number Sense/Computation) Resource Type: Lessons Discipline: Mathematics Grades: Grades 3–5 Professional Commentary: Students make estimates to analyze the number of apples produced per acre and visualize the magnitude of one million. Using the thematic setting of Johnny Appleseed, students have opportunities to practice their computation and estimation skills as they progress from guessing the number of apples in a bushel to making a reasonable estimate based on a... Million Dollar Giveaway: Measurement Resource Type: Lessons Discipline: Mathematics Grades: Grades 5–7 Professional Commentary: The prize for winning a radio contest provides the winner with up to $1,000,000 in cash. The catch is that the winner is allowed only one suitcase in which to carry away as much money as it will hold in $1 bills.... How Long? How Wide? How Tall? How Deep? Resource Type: Lessons Discipline: Mathematics Grades: Grades 2–4 Professional Commentary: Students use historical nonstandard units (digits, hand, cubit, yard, foot, pace, fathom) to estimate the lengths of common objects and then measure using modern standard units. They discover the need for standardized measurement units and tools....


Ohio Standards

Measurement StandardBenchmarks (34) D. Identify appropriate tools and apply counting techniques for measuring side lengths, perimeter and area of squares, rectangles, and simple irregular twodimensional shapes, volume of rectangular prisms, and time and temperature. Grade Level Indicators (3) 7. Make estimates for perimeter, area and volume using links, tiles, cubes and other models. 

