Elementary POW, October 21-25,1996
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While we were driving down the road on our summer vacation we noticed a large group of cows in the field. As you know a cow has 4 legs and 2 ears. We love to count!! We started counting all the legs and all the ears, but we lost count of the number of cows in the field. Can you pitch in and help us? If the difference between the number of legs and the number of ears was 40, then how many cows did we actually see in the field? (Hint: make a chart) This week's mentors are from Caroline Brennan's 7th grade math class at Drexel Hill School of the Holy Child in Drexel Hill, PA.
Casey Gorish Mr. Nortan Murray Middle School Ridgecrest Matt Radler (Grade 4) and Vanessa Valenzuela (Grade 6) Blessed Sacrament School Midland, MI Alexis Ding, 5th grade Teacher:Betsy Briardy St.Joseph School. Seattle Wa. Russell S., Jason D., Thomas D. Grade 3, Miss Seager Bagnall School, Groveland MA. Brandon Cole. - 4th grade. Miss Duggan. Munsey Park School in Manhasset. Jonathan Nelson & Chris Blanchard Jason, Zach, Tristan, Robbie, Samantha, Michael, Blair, Kim Courtney, Neil, Jennifer, Kelsey, and Solomon Grade 4 Mrs. Hayes Shaffer Elementary Littleton Colorado Dan, Mariah, Billy Kali Miss Lalumiere Grade 6 Bagnall School Kerry, Meagan, Sarah and Dan Sam, Gary, Brian Bagnall School Miss Lalumiere Grade 6 Jake Cacciatore Grade 6 Mrs. Lopata Bagnall School James Boyd Grade 6 Mrs. Lopata Katie L., Billie Jo Cook Grade 6 Miss Lalumiere Bagnall School David and Josh Grade 6 Bagnall School Miss Lalumiere Bryan Belisle, Kevin LaFrance, Leah Hillard, Cathy Thomas Grade 6 Mrs. Caruso Bagnall School Tom, Kyle, Amanda and Leah P. Grade 6 Mrs. Caruso Bagnall School Matthew Sullivan Mrs. Arria Lucey Grade 4 Bagnall School Francesca Ebba Grade 4 Mrs. Galluzzo-Hamilton Bagnall School Liz Corbin Grade 4 Ms. Galluzzo-Hamilton Jeffrey, Titus Grade 4 Ms. Galluzo-Hamilton Bagnall School Sammi Webster Ms. Galluzzo-Hamilton Grade 4 Bagnall School Allison B. Grade 4 Ms. Galluzzo-Hamilton Bagnall School Bethie Grade 4 Ms. Gsalluzzo-Hamilton Bagnall School Greg Chiarello Grade 4 Ms. Galluzzo-Hamilton Bagnall School Corey, Ryan, Tim, Sonja Grade 4 Mrs. Sturtevant Bagnall School Katelyn, Nick, Katie, Steven Grade 6 Mrs. Caruso Bagnall School Kevin Sweker Grade 4 Mrs. Sturtevant Bagnall School Alysia Grade 4 Bagnall School Mrs. Arria Lucey Aaron Gilman Grade 4 Mrs. Arria Lucey Bagnall School Ashley Lombardi Grade 4 Mrs. Arria Lucey Bagnall School Adam Grade 4 Ms. Arria Lucey Bagnall School David Grade 4 Ms. Arria Lucey Bagnall School Joey Disorbo Grade 4 Ms. Arria Lucey Bagnall School Katie, Jenn, Ashley, Laurs Grade 6 Miss Lalumiere Bagnall School Brian Powers, Ben Clements, Betsy Haskins, Nathan Strauss, Justin Weiss, Sarah Haspiel, Julian Rangel, Alex Hutkin, Andrew Biggs, Nate Litz, Rebecca Payvar, Alexandra Heimos, Ariel Franks Teacher: Bob Coulter Michael Healy 4th Grade Mrs. Bartosiewicz Titus Elementary Warrington, Bucks County, PA Amanda Corney 4th Grade Mrs. Bartosiewicz Titus Elementary Warrington, Bucks County, PA Cassie Mantzoros and Hayley Cush 4th Grade Mrs. Bartosiewicz Titus Elementary Warrington, Bucks County, PA Devin Jones 4th Grade Mrs. Bartosiewicz Titus Elementary Warrington, Bucks County, PA Cory Montella 4th Grade Mrs. Bartosiewicz Titus Elementary Warrington, Bucks County, PA Caren Beck 4th Grade Mrs. Bartosiewicz Titus Elementary Warrington, Bucks County, PA 7th graders: Autumn Tilson, Eric Cobb, Bryan Donahue, Kathryn Way, Ashley Cowart, Katie Ussery, Charles Way, Kyle Smith, Erik Rawls, Eddie Kelly and 6th grader Kari McDonald Mrs. Hodge's SEARCH class. Wilder Middle School in Savannah, GA Christine Mortimer, Josh Gragg, Gabriella Carrullo Fourth graders Titus Elementary School, Warrington, PA. Room 6 Fourth Graders Mr. Griffin's Class Weller Elementary Fairbanks, Alaska Patrick Johnson,Gabrielle Haberman,Kevin Connell,Kayla Cappadocia, Christy Barbetto, Rebecca Martin, Allyson Mallick, Elaine Fang, Jonathan Edson - Third Grade Teacher: Marianne Blair George L. Hess Educational Complex Location: Mays Landing,NJ Grade 4 - Tim, Lauren, and Claire Grade 6 - Ian, Mike, Adam, Lauren, and Marisa Mrs. Brennan Drexel Hill School of the Holy Child, Drexel Hill, PA Brittany Tarantino, 6th Grade Teacher: Laurie Budrewicz Brookside School Jamesburg, NJ Christine K. (grade 5) Miss Sadofski's 6th Grade Math Class Jefferson Road Elementary School, Pittsford, New York Sam Hahn & Mitchell Samson Mrs. Kelley's 5th Grade Center School Stow MA Jacques Blundell, Jenn Cumming, Jamie Fierce, Todd Nicholas,Rose Quinn Mrs O'Connell 5th grade Center School Stow MA Jon Anapol Miss McCarthy's 4th grade class Center School Stow MA Bobby Blanton, Dan Glover, Peter Mangolds, Ted Powers and Joshua DeBenedetto Ms. McGuire's 4th Grader Center School Stow MA R.C. Granger & Nick Beaudoin Mrs. Palmbach's 3rd grade class Center School Stow MA Kim Davidson, Kristal Tidwell, Richard Morrison Murray Middle School Ridgecrest,CA Mrs. McMahon, 6th Grade class Gail Lauinger's fifth grade class Mendocino Grammar School Patrick, John, Brian and Pam; Bryan, Josh, Jessica and Nicole; Curt, Jenn, Nicole, Art, Peter Grade 6 Bagnall School Mrs. Caruso Candice Theinert, Grade: 6 Teacher: Laurie Budrewicz Brookside School, Jamesburg, NJ Amber Slvia Sparks Poplar Branch, N.C Patricia Kling Joy School Fairbanks, AK 99701 Ben Watters, 4th grade Mrs. Morefield Coyote Canyon School Rancho Cucamonga, CA 4th grade math class (Daniel Goldberg, Adrienne Katz, Brenden Cutter, Karyn Beiber, Nikita Chrystephan, Tori Lamp, Roslyn Owens) Teacher: Geoff Busch Discovery School Spokane, Washington Mila C. and Veronica A., Sharmila K., Stephanie A., Marissa D., Kristi M., Greg W., Emily G., Diana M., Shea M., Kevin M., Lauren G., Melanie B., Colleen C., and Monica R. Miss Colwell's 6th grade class Oak View Elementary School Fairfax, Virginia Matt Donovan, Peter Cicero, 4th Grade Mr. Rimmel Kerr Elementary Pittsburgh, PA Vinay Aggarwal, 4th grade Teacher: Paul Nass School: Georgwtown Day School, Washington DC Brandon, Harrison Miller, 5th grade. Teacher: Paul Nass Georgetown Day School Huw Wilkins, grade 4 Rachel Forster, grade 3 Amy Forster, grade 7 Wilkins/Forster family Crooked Tree Point.Cygnet. Tasmania.Australia 7112. Zac Hart, Grade 4 Susan Haines Vassalboro Comunity School, Vassalboro, Maine Janice Temple's Class Simone Levien-fifth grade math teacher- Paul Nass Georgetown Day School Curtis T., Adam H., Cory T. and others Mr. Auckland's grade 6 St. Thomas, Ontario Monica Farr. 3rd grade Colegio Karl C. Parrish in Barranquilla, Colombia Ashoke Khanwalkar, grade 4 (Mrs. Geschel) Western Salisbury School, Allentown, PA Sabrina Russo, grade 3 Western Salisbury School (Mrs. Geschel) Allentown, PA Sam Henderson, grade 5 Western Salisbury School,(Mrs. Geschel) Allentown, PA Chris Connolly, Laura Care, Elizabeth Cronson, Hannah Pavlovich, Michael Zito, Vaughan Read 4th grade - Mrs. Gandler's room, Munsey Park School, Manhasset, NY. Andy Garin Georgetown Day School Joan Foster's 4th grade Sam Henderson, grade 5 Mary Geschel, Gifted support teacher Western Salisbury School Allentown, PA Grade 5 taught by Kathleen R. Hadden Drexel Hill School of the Holy Child, Drexel Hill, PA Greg Kolb Jackson School 3rd grade Tim, Lauren, and Claire 4th Grade - Mrs. Brennan Drexel Hill School of the Holy Child, Drexel Hill, PA Ian, Mike, Adam, Lauren, and Marisa Grade 6 - Mrs. Brennan Drexel Hill School of the Holy Child, Drexel Hill, PA Caitlin Darling Beebe School (Grade 4V) Melrose, Massachusetts Teacher: Ms. Varney
Corey, Ryan, Tim, Sonja Grade 4 Mrs. Sturtevant Bagnall School Answer: 20 cows First we made a chart by making two columns. The columns were named ears and teh other column was called legs. Then we tallied until in both columns there wer 20 groups. In the legs column there was four legs for each group. In the ears column there was two ears for each group. We sounted the number of all the legs in the legs column. There was 80 legs in all. We counted all the ears column adn there was 40 ears in all. We subtracted 40 from 80 and it equalled 40. 40 was the difference. Since there was 20 groups in each column and we matched the difference with the problem. There was 20 cows in the field. ********************************************************** Ted Powers and Joshua DeBenedetto, Ms. McGuire's 4th grade - Center School - Stow MA We made a table of how many ears and legs one cow had, two cows had, etc. until we got up to the answer cows ears legs 1 2 4 - - - 18 36 72 19 38 76 20 40 80 The answer is 20 cows because when you subtract 80 legs minus 40 ears gives you 40 which is how many ears 20 cows have. One thing that helped our strategy was looking at our chart after we had done five or six and seeing that the number of ears would be the subtraction answer. ********************************************************** R.C. Granger & Nick Beaudoin - Mrs. Palmbach's 3rd grade class - Center School - Stow MA R.C. & I made a chart: Cows legs minus ears = difference 1 4 - 2 2 2 8 - 4 4 3 12 - 6 6 - - - - - - - - - 18 72 - 36 36 19 76 - 38 38 20 80 - 40 40 We noticed that the difference was the same as the number of ears. And if you have a difference of 40 and the number of ears of the cows is also 40 then you have 2 ears on each cow and you divide by 2 and get 20 cows.
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