Sample Funbook Levels K–8 EL LEV Dear Teachers, Thank you for considering the St. Jude Children’s Research Hospital® Math-A-Thon for your school. After more than 30 years, the program remains a wonderful way for students to sharpen their math skills while learning the importance of helping others. St. Jude Children’s Research Hospital is proud to continue our association with Scholastic on the 2010–2011 Math-A-Thon program. Scholastic has worked with St. Jude to develop a series of engaging math activities that support national standards while challenging and inspiring kids. Math-A-Thon is a great tool to use as a supplement to your existing curriculum or as part of a service learning project. In this sample Funbook, you’ll find one page of curriculum materials for each grade level from K through 8. The actual Funbooks include patient stories, hospital information, and a two-page answer key so parents can participate and help check answers. They also include a comic that introduces the Numerators—the characters that appear throughout the Funbooks—as well as instructions on how to fundraise online. Visit www.mathathon.org for more information or call 1.800.FUNBOOK (1-800-386-2665) with any questions. Clip Measures How many clips long is each school supply? Write the numbers beside the items. Na’Kya, Age 6 Acute Lymphoblastic Leukemia Sincerely, St. Jude Children’s Research Hospital 1. Length of pencil: ______ clips 2. National Standards Level K Title Skill Focal Point (FP) K Clip Measures Identify and order lengths using nonstandard units FP 3: Measurement: Ordering objects by measurable attributes 1 Help Octagon Get Home! Identify numbers as odd or even FPC 3: Algebra: Applying number patterns such as odd and even 2 Cross Number Puzzle Identify different representations for three-digit numbers FP 1: Number and Operations: Developing an understanding of the base-ten numeration system and place-value concepts 3 Sweet Fractions Use models to identify equivalent fractions FP 2: Number and Operations: Developing an understanding of fractions and fraction equivalence 4 America’s Lanky Landmarks Multiplication with one-digit factors FP 1: Number and Operations and Algebra: Developing quick recall of multiplication facts and related division facts and fluency with whole number multiplication 5 It’s Riddle Time! Find volume FP 3: Geometry and Measurement and Algebra: Describing threedimensional shapes and analyzing their properties, including volume and surface area 6 Fraction vs. Mal Function Analyze and solve function tables FP 3: Algebra: Writing, interpreting, and using mathematical expressions and equations 7 The Repeat Offender Repeating decimals FPC 2: Number and Operations: Using division to express fractions as decimals, including fractions represented with infinite decimals 8 Ages of the Presidents Analyze data in a real-life context FP3: Data Analysis and Number and Operations and Algebra: Analyzing and summarizing data sets Length of scissors: ______ clips 3. Length of crayon: ______ clips 4. Length of eraser: ______ clips 5. Which school supply is longest? __________________ Tell how you know. 6. Which school supply is shortest? __________________ Tell how you know. 3 EL LEV 1 EL LEV Help Octagon Get Home! Help Octagon get home. Move one shield at a time across or down (not diagonally) using odd numbers only. Draw a line to show his route. Odd numbers have 1, 3, 5, 7, or 9 ones. 2 Cross Number Puzzle Use the clues to complete the puzzle. Instead of using letters to form words, use digits to form numbers. A B C Even numbers have 0, 2, 4, 6, or 8 ones. F 24 18 6 13 D 35 9 3 7 67 14 26 38 43 31 74 83 86 61 25 52 93 17 88 33 40 64 10 65 57 4 G F START! J 50 62 19 75 e! hom 98 E G K H Q L 39 28 87 4 41 29 11 J Q R K 12 I L ACROSS DOWN A. 300 + 20 + 6 A. 3 hundreds, 9 tens, 2 ones B. 2 hundreds, 5 ones C. 500 + 40 + 7 D. 2 hundreds, 7 tens, 8 ones E. eight hundred nineteen F. 900 + 30 + 7 F. 9 hundreds, 7 tens, 5 ones G. 7 hundreds, 2 tens, 9 ones H. two hundred thirty-one I. five hundred sixty-six J. 6 hundreds, 9 tens K. eight hundred twelve L. 4 hundreds 5 EL LEV 3 EL LEV Sweet Fractions Follow the directions and color a fractional part of each candy bar. Color from left to right only. Then use the candy bars to help you find equivalent fractions. 1. Color 1/2 yellow. 2. Color 1/3 pink. 4 America’s Lanky Landmarks These four unique landmarks seem to touch the sky. Which is tallest? To find out, find the products beside each landmark. Write the thousands digit of each product in order. The result will reveal the landmark’s height. 1. 3. Color 1/4 brown. 867 2. 428 3.2,618 ____________ x 7 x 8 x 4 feet tall 4. Color 2/4 yellow. 5. Color 4/8 yellow. 6. Color 2/6 pink. Gateway Arch St. Louis, Missouri 4. 7. Color 3/9 pink. 8. Color 2/8 brown. 961 x 6 5. 809 x 7 6.1,816 485 x 7 8.3,456 9.1,324 ____________ x 3 feet tall Washington Monument Washington, D.C. 9. Color 3/12 brown. 10. Color 4/12 pink. 7. ____________ x 4 feet tall x 3 11. 1/2 is equivalent to /4 and /8 . 12. 1/4 is equivalent to /8 and /12 . Statue of Liberty New York City, New York 10. 13. 1/3 is equivalent to /6 , /9 , and /12 . 3,295 x 2 11. 5,087 x 2 12. 3,077 ____________ x 5 feet tall Space Needle Seattle, Washington 6 13. To which state would you travel to see the tallest landmark? _____________________________ 7 EL LEV 5 EL LEV It’s Riddle Time! 6 Fraction vs. Mal Function Volume is the measure of the space a solid figure occupies. It is measured in cubic units, because it measures three dimensions: length, width, and height (or depth). Find the volume of each box in cubic centimeters and write it on the line below. Then find the answer in the word bank. Write the word that’s beneath it in the correct blank at the bottom of the page. The first one is done for you. Look out, Fraction—it’s Mal Function! Fill in the missing values in each function table and write an equation that shows the rule for each one. Otherwise, Mal Function will attack Fraction with a table! (We gave you the rule for the first one at the top of the table.) 1. x RD WO BANK 56 clock 480 Why 896 back 990 slow 1,296 cafeteria 2,070 four 2,280 seconds 2,400 run 3,696 lunch 4,096 always 1 5 4 cm x 10 cm x 12 cm 22 cm x 28 cm x 6 cm 11 cm x 18 cm x 5 cm 16 cm x 16 cm x 16 cm 6 7 7 1 _____ 2 _____ 3 _____ 4 _____ 5 _____ 6 2. ____________ 4. ____________ 3. ____________ 5. ____________ 1 5 cm x 24 cm x 19 cm 8 cm x 20 cm x 15 cm 6 cm x 18 cm x 12 cm 2 cm x 4 cm x 7 cm 2 3 4 5 6. ____________ 7. ____________ 10 15 _____ _____ _____ 8. ____________ 9. ____________ Why _______________ did the _______________ _______________ _______________ #1 #8 #7 #2 10. ____________ Remember: Here, volume is the product of the length, width, and height. 4. y x 0 23 cm x 6 cm x 15 cm 5 _ ________ = y : le u R 3. 1. ____________ 0 0 3 4 y x 3 2 4 cm x 8 cm x 28 cm 2. y = 4x – 1 8 3 x 5 0 7 1 _____ _____ 8 18 21 2 3 _____ _____ 6 11 25 _ ________ Rule: y = 24 _____ _____ _____ _____ Rule: y = _________ _______________ _______________ ? #9 #3 Every _______________ it went _______________ _______________ _______________ . #4 #5 #6 #10 y Good work! Way to think fast! 9 EL LEV 7 EL LEV 8 The Repeat Offender Pete Repeat hypnotizes store owners by making them repeat a fraction with a repeating decimal equivalent. Then he robs the stores blind! Help the Numerators break the spells by showing each store owner the fraction’s repeating decimal equivalent with a bar over the digit or digits that repeat. For example, 5/6 = .83333…, or .83. 1. A t the hardware store, Pete hypnotizes Jack Hammer into repeating the fraction 2/3. What repeating decimal should the Numerators show him? 5/6! 5/6! 5/6! 5/6! 5/6! 5/6! 5/6! 5/6! Ages of the Presidents The data below show the ages of the U.S. Presidents from George Washington to Barack Obama at the time of their (first) inaugurations. _______________________________________________________ 2. C andy Buttons at Sweet Eats is the next to be hypnotized. She repeats the fraction 6/11. Decimal equivalent: _______________________________________________________ 3. F irst Rational Bank: Lotta Bucks repeats 7/18. Decimal equivalent: _______________________________________________________ 4. Sports Majority store: Jock Brock repeats 5/7. Decimal equivalent: Questions 1. Complete a stem-and-leaf plot (on a separate sheet) to organize the data. Use your plot to answer the questions. Data 2. a) What is the median age of a President at inauguration?_______ b) Who was the youngest President to be inaugurated?____________ c) Who was the oldest President to be inaugurated?_______________ d) What is the range of the Presidents’ ages at inauguration? ____________________________________________________________ _______________________________________________________ 5. H ouse of Sole shoes: Lacey Loafers repeats 8/33. Decimal equivalent: 3. Find the mean age of the first ten Presidents and the most recent ten Presidents. a) Mean of first ten Presidents:_________________________________ b) Mean of most recent ten Presidents:__________________________ _______________________________________________________ 6. Windy’s burger joint: Al Beaf repeats 7/15. Decimal equivalent: _______________________________________________ 7. Game World: Lynn Tendo repeats 29/54. Decimal equivalent: _______________________________________________________ 8. T he Numerators catch Pete Repeat and send him to jail. There, Pete will spend 5 hours of his waking hours each day watching repeats of old TV shows. He’ll spend his other 9 waking hours each day doing other things. Express the fraction of his waking hours spent watching repeats as a decimal. 4. Life expectancy, the number of years one is expected to live at birth, was 47.3 years in 1900. In 2000, it was 73.4. What are some things this may suggest about the Presidents we are electing? ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ 5. What are some other ways you could analyze this data? What graphs might you use?_________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ _______________________________________________________ *Note: Grover Cleveland served two non-consecutive terms. 10 11 Washington 57 Harrison 68 Adams 61 * Cleveland 55 Jefferson 57 McKinley 54 Madison 57 T. Roosevelt 42 Monroe 58 Taft 51 Adams 57 Wilson 56 Jackson 61 Harding 55 Van Buren 54 Coolidge 51 Harrison 55 Hoover 54 Tyler 51 F.D. Roosevelt 51 Polk 49 Truman 60 Taylor 64 Eisenhower 62 Fillmore 50 Kennedy 43 Pierce 48 Johnson 55 Buchanan 65 Nixon 56 Lincoln 52 Ford 61 Johnson 56 Carter 52 Grant 46 Reagan 69 Hayes 54 G.H. Bush 64 Garfield 49 Clinton 46 Arthur 51 G.W. Bush 54 Cleveland 47 Obama 47 Answer Key Level K: Clip Measures (p. 3) 1. 6 clips; 2. 3 clips; 3. 4 clips; 4. 1 clip 5. pencil; it’s the greatest number of clips long. 6. eraser; it’s the fewest number of clips long. Level 1: Help Octagon Get Home! (p. 4) 24 18 6 13 35 9 3 7 67 14 26 38 43 31 74 START! 50 62 19 75 e! hom 98 83 86 12 39 61 25 52 40 28 87 93 88 64 10 4 29 17 33 65 57 41 11 Level 2: Cross Number Puzzle (p. 5) A 3 2 2 7 E J G Q K 8 G H 2 3 8 0 C 1 9 9 7 L I 5 Q 3 L 4 7 K J 6 9 2 5 4 F 1 7 2 F 9 D B 6 0 6 R 0 Level 3: Sweet Fractions (p. 6) 1. Color 1 square. 2. Color 1 square. 3. Color 1 square. 4. Color 2 squares. 5. Color 4 squares. 6. Color 2 squares. 7. Color 3 squares. 8. Color 2 squares. 9. Color 3 squares. 10. Color 4 squares. 11. 2/4, 4/8 12. 2/8, 3/12 13. 2/6, 3/9, 4/12 Level 4: America’s Lanky Landmarks (p. 7) 1. 6,069; 2. 3,424; 3. 10,472 [630 feet tall] 4. 5,766; 5. 5,663; 6. 5,448 [555 feet tall] 7.3,395; 8. 10,368; 9. 5,296 [305 feet tall] 10. 6,590; 11. 10,174; 12. 15,385 [605 feet tall] 13. Missouri Level 5: It’s Riddle Time! (p. 8) 1.480 cm3 2. 4,096 cm3 3. 990 cm3 4. 3,696 cm3 5. 896 cm3 6. 2,070 cm3 7. 56 cm3 8. 1,296 cm3 9. 2,400 cm3 10. 2,280 cm3 Why did the cafeteria clock always run slow? Every lunch it went back four seconds. Level 6: Fraction vs. Mal Function (p. 9) 1. 11, 15, 19, 23, 27 2. 20, 25, 30; Rule: y = 5x 3. 9, 11, 13, 19; Rule: y = 2x + 3 or 3 + 2x 4. 27, 36, 51, 93; Rule: y = 3x + 18 or 18 + 3x Level 7: Repeat Offender (p. 10) 1. .6 2. .54 3. .38 4. .714285 5. .24 6. .46 7. .5370 8. .3571428 Level 8: Ages of the Presidents (p. 11) 1. Stem Leaf 4 2, 3, 6, 6, 7, 7, 8, 9, 9 5 0, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8 6 0, 1, 1, 1, 2, 4, 4, 5, 8, 9 2. a) 54.5; b) T. Roosevelt; c) Reagan; d) 27 years 3. 56.8; 54.7 4. Sample response: We are electing younger Presidents. The Presidents are also statistically in an earlier part of their lives. They are now more likely to serve in other advisory roles following their Presidency. 5. Answers will vary. Do the Math. Help Save Lives. Bo t h - a -t h o n po w e r o n a m r u o y li n e o st www.mathathon.org Teachers and students can visit www.mathathon.org for a variety of resources available to help make Math-A-Thon a success. The website includes: information on how Math-A-Thon works resources for teachers and parents a current list of student and school prizes games students can play all year long patient stories and other facts about St. Jude Children’s Research Hospital + + + + + ALSAC/St. Jude Children’s Research Hospital 501 St. Jude Place, Memphis, TN 38105 | 1-800-FUNBOOK (386-2665) | www.mathathon.org St. Jude Children’s Research Hospital is a registered trademark of St. Jude Children’s Research Hospital, Inc. Math-A-Thon is a registered trademark of ALSAC, Inc. The Numerators are a trademark of ALSAC, Inc. ©2010 ALSAC/St. Jude Children’s Research Hospital (02962) MAT000111 Facebook ! Teachers and students can also log in to www.mymathathon.org, the fundraising site where they can: access the online Math-A-Thon Funbook create their own Web pages and set goals e‑mail sponsors and receive credit card donations track online and offline donations and monitor success + + + + FacebookTwitter New this year, coordinators and students can post links to their fundraising Web pages on Facebook and Twitter. You can also download a St. Jude widget, which allows your sponsors to access your fundraising page directly from your school’s website, blogs or other Web pages.
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