INFINITY And Me

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Curriculum Guide6726-0ISBN 978-0-7613-INFINITYand MeByKate HosfordIllustrated byoda Books 16.95 CarolrhGabi SwiatkowskaUma can’t help feeling small when she peers up at the night sky. She begins to wonderabout infinity. Is infinity a number that grows forever? Is it an endless racetrack? Couldinfinity be in an ice cream cone? Uma soon finds that the ways to think about this big ideamay just be . . . infinite.One little girl’s contemplation of a very big concept makes for a marvelous, kid-friendlyintroduction to mathematical infinity. In the end, Uma discovers the perfect definition for thisvast notion—her love for Grandma is as big as infinity. “Uma’s struggle with the concept of infinity offers readers a playful,gorgeous introduction to the mathematical concept.”—Kirkus Reviews, starred review“Hosford effectively reflects the ways in which young children might grapple with,and come to some understanding of, such an impenetrable notion.”—The New York Times Book ReviewA Junior Library Guild Selection

BEFORE READINGSome things are easy to count, like cans of soup on a pantry shelf. Others are more difficult to countbecause the quantities are so large, like grains of sand on a beach. But some things are impossible tocount. Can we measure how much someone loves us or can we count the number of points on a line?Create a chart and brainstorm things that are easy to count, hard to count, and impossible to count.DISCUSSION QUESTIONS At the beginning of the story, the idea of infinity makes Uma feel very small.What words could you use to describe how she feels? Why does she feel this way?Uma asks many people what they imagine when they think of infinity. Why does she get theopinions of so many different people?Uma notices that it is hard to talk about infinity without using the word “forever.” Why isthat true?What would you like to do forever? Eat ice cream sundaes for dinner? Ride your favoriteroller coaster? What would these activities be like if you really had an infinite amount of timeto do them? Would your choice be as special when it is no longer defined by something else?For example, would an infinite amount of recess be as special if there wasn’t any school?Discuss with classmates the pros and cons of doing something that you love FOREVER.Do you believe that a feeling, like love, can last forever? How about an idea? Can it last forever?Do you think that infinity is a number or an idea? Support your statement with examplesfrom the book.At the end of the story, Uma says that her love for Grandma is as big as infinity. What doesshe mean by that?Roberto FalckKATE HOSFORD graduated from Amherst College with a degree in English andPhilosophy. In 2011 she received an MFA in Writing for Children and Young Adultsfrom Vermont College of Fine Arts. Before becoming an author, she worked as anelementary school teacher. Kate lives in Brooklyn, New York, with her husbandand their two sons. Infinity and Me is her third children’s book. Her first two, BigBouffant and its sequel, Big Birthday, were also published by Carolrhoda Books.Visit Kate’s website, www.khosford.com, for more activities based on Infinity and Me,as well as a listing of the Common Core State Standards addressed by this curriculum guide.INFINITY and MeIllustration copyright 2012 by Gabi Swiatkowska All rights reserved. This page may be photocopied for free distribution.

AFTER READINGInfinity SymbolsNo one knows exactly where the infinity symbol, the lemniscate, came from, butsome scholars think it was related to an ancient symbol called the Ouroboros, whichshows a snake eating its own tail. Why are the Ouroboros and the lemniscate goodsymbols of infinity? Do they have anything in common? Use the Infinity Symbolworksheet to create your own symbol for infinity. LEMNISCATEOUROBOROSMysterious MöbiusCCreate a Möbius strip. Named for nineteenth century German mathematician and ABDastronomer August Ferdinand Möbius, this fascinating strip has only one side and oneedge. Give each student a 1 x 11 inch strip of white paper. With the strip flat on the desk, label the cornersA B on one end and C D on the other end. Holding the paper on both ends, give the strip a half twist andbring the ends together so that the A is touching the D and the B is touching the C (one set of letters willbe upside down when compared with the other). Tape the ends together giving a semi twisted shape. Doesthis shape have one side, or two? Test your hypothesis by putting a pencil point at the taped end. Draw aline down the center of your strip, keeping the pencil always in contact with the paper until you reach thepoint where you started. Did you ever cross an edge? What do the Möbius strip and the lemniscate havein common? How are they different?Infinity Is . . .In the book, Uma finds out how lots of other people imagine infinity. Have each student come up with his/her own personal vision of infinity and illustrate it using the Infinity Is . . . worksheet. Author Kate Hosfordis collecting infinity visions from students around the country. Before you display your class’s visions ofinfinity or combine them into a class book, scan each one and submit them to Kate Hosford via the contactpage on her website, www.khosford.com. Include the student’s first name, grade, school name, city, andstate with any submissions.Fun with FractalsInfinitely Divisible Line SegmentsMost of the people that Uma talks to in the book describe ideas that are infinitely large, but Mr.Mancini, the school chef, describes the process of cutting a noodle in half over and over again to makesomething that would grow infinitely smaller. When the same pattern repeats on a smaller and smallerscale forever, it is called a fractal. Using the Cutting the Line worksheet, try cutting the line segment inhalf as many times as you can. Would you ever finish?Sierpinski TrianglesAnother great example of a fractal pattern is the Sierpinski triangle. Have yourstudents make their own Sierpinski triangles in order to see that no matterhow many triangles they draw, there will always be room to draw moretriangles. The Fractal Foundation has a worksheet that makes it easy toconstruct this pattern. Download it free of charge at inski-triangle.Visit www.khosford.com for more fun pattern activities, including Koch Curve fractals and tessellations.INFINITY and MeThis page may be photocopied for free distribution.

Name:Infinity Symbol LEMNISCATEINFINITY and MeCreate your own symbol for infinity.Will it have anything in common with alemniscate or the Ouroboros?Illustration copyright 2012 by Gabi Swiatkowska All rights reserved. This page may be photocopied for free distribution.OUROBOROS

Name:Cutting the LineIllustration copyright 2012 by Gabi Swiatkowska All rights reserved. This page may be photocopied for free distribution.Take the line below, divide it in a half with a ruler, and label the midpoint as 1/2. Now take the half on the left, cut it inhalf, and label the midpoint 1/4 (since it is 1/4 of the whole segment). Take the midpoint of the remaining segment onthe left and label it. What fraction of the whole segment would that small segment represent? Continue in this mannerfor as many times as you can. Do you notice a pattern in the fractions? How many times could this pattern repeat?INFINITY and Me

Name:Infinity Is . . .How do you imagine infinity?Describe it in words and draw a picture.Infinity is(Continue on the back if you need more room!)INFINITY and MeIllustrations copyright 2012 by Gabi Swiatkowska All rights reserved. This page may be photocopied for free distribution.

INFINITY and Me This page may be photocopied for free distribution. AFTER READING Infinity Symbols No one knows exactly where the infinity symbol, the lemniscate, came from, but some scholars think it was related to an ancient symbol called the Ouroboros, which shows a snake eating its own tail. Why are the Ouroboros and the lemniscate good

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