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Quack and Count Author: Keith Baker Illustrator: Keith Baker Publisher: Harcourt Brace Copyright: 1999 ISBN: 0152050256 Number of Pages: 24 Ohio Standards Alignment: Grades preK–1
The numberÂ 7 is broken down into all possible sums of two smaller whole numbers. Illustrations of seven baby ducks depict each sum and its reversal (2 + 5 and 5 + 2). Some of the pictures partially "hide" one or two of the ducks, and children will enjoy finding them all.
Go to: How to Use This Book Highlights and Insights Related ORC Resources Ohio Standards


How to Use This Book

 Working from the illustrations of commutativity of addition, such as (3 + 4) ducklings and (4 +3) ducklings, the teacher could show those rubber ducks in parallel settings and ask: How much is 3 + 4? How about 4 + 3?
 The number 7 is large enough that more than a few decompositions can be used (6+1, 5+2, 4+3, 1+6, etc.). Lower or higher numbers can be substituted depending on the level of the children.
 Teachers can use groups of children to show how the group can be divided up into different addends.
 This book can be used as a precursor to other booksÂ that decompose numbers other than 7 into sums of smaller numbers (books by Greg Tang, for example).
 To work toward subtraction, play "Hide the Duck" with students. Start with 7 rubber ducks, and as the children close their eyes, hide some of the ducks. Have the children tell how many ducks are hiding after opening their eyes.
 A way to work up to this book would be to read or sing "5 Little Ducks," a backwards counting story. The rubber ducks can be used here to allow the youngest children to visualize the subtraction of ducks.
 Domino games or activities where 6 & 1, 5 & 2, or 4 & 3 are used, or other combinations as appropriate.


Highlights and Insights

 This book is a simple way to introduce the addition concept to even the youngest students because it uses only one number as the sum. It goes beyond simple rote counting to show how one number can be represented as a combination of other smaller numbers.
 Besides decomposition of the number 7, which can be generalized, the book also introduces or reinforces the commutative property of addition.


Related ORC Resources

Resource Type: Lessons Discipline: Mathematics Grades: Grades K–2 Professional Commentary: In this 6lesson unit, students explore the four models of addition (counting, sets, number line, and balanced equations) using dominoes. They also learn about the order (commutative) property for addition, the inverse relationship between addition and subtraction, and the result of adding 0 (additive identity).... Begin With Buttons 4: More and More Buttons Resource Type: Lessons Discipline: Mathematics Grades: Grades K–2 Professional Commentary: Students use buttons to find simple sums, fill in a standard addition chart, and write addition sentences. They also explore the commutativity of addition.... Begin With Buttons 5: Numbers Many Ways Resource Type: Lessons Discipline: Mathematics Grades: Grades K–1 Professional Commentary: Students find all the ways 7 can be expressed as the sum of two numbers. They then write fact families of addition and subtraction sentences for 7.... Begin With Buttons 6: Lost Buttons Resource Type: Lessons Discipline: Mathematics Grades: Grades K–1 Professional Commentary: Students model takeaway subtraction with missing buttons on a shirt. They write subtraction sentences and begin to think of subtraction in terms of missing addends.... Resource Type: Lessons Discipline: Mathematics Grades: Grades PreK–Kindergarten Professional Commentary: This eightlesson unit features activities in various modalities in which students work with progressively larger sets containing 510 elements. They count the elements, write numerals, and make sets with more or fewer elements....


Ohio Standards

Number, Number Sense and Operations StandardGrade Level Indicators (K) 4. Determine "how many" in sets (groups) of 10 or fewer objects. Grade Level Indicators (1) 2. Recognize and generate equivalent forms for the same number using physical models, words and number expressions; e.g., concept of ten is described by "10 blocks", full tens frame, numeral 10, 5 + 5, 15  5, one less than 11, my brother's age. Grade Level Indicators (preK) 1. Count to 10 in the context of daily activities and play. 

