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Showing posts with label array. Show all posts
Showing posts with label array. Show all posts

Thursday, October 20, 2011

Bats on Parade

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This book is a literary introduction to square numbers and the patterns they form as square arrays.   The bats march in parade formation and different sections of the band, being different sizes, march in different arrays: "In nine rows of nine those trombones reported, while there, right behind them, the tubas retorted."   The pictures and rhyme reinforce the mathematics of the patterns and teachers can easily ask students to predict how many bats will be in the next section or ask them to figure out how many bats are in the whole band before reading those pages.   Add this book to your collection of problem-solving literature prompts.



  • Multiplication Arrays: The book is a great introduction to multiplication arrays. Use the book illustrations to show students how to use an array to model a multiplication problem then ask students to create arrays for different multiplication facts.
  • Class on Parade Book: Challenge students to design an array and a rhyme for an original page in theClass on Parade book. Decide on a theme and let pairs of students work on both the math and the language for a page.

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Bat Jamboree by Kathi Appelt

Bat Jamboree introduces the triangular number pattern as bats assemble for the final number beginning with 10 bats in the bottom row, 9 in the next row, etc. to the very top row with 1 bat.   Students are introduced to the 55 bats in formation and their various acts but the book "isn't over until the bat lady sings."   Students will enjoy this introduction to an important mathematical pattern.   Teachers can find many problems that build upon this triangular number pattern and extend the experience.
  • Student Written Problems: ask students to write original problems that use the triangular number pattern. Being able to write similar problems and solve them require higher-order thinking skills as students apply, synthesize and evaluate both the problems and the solutions.

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Bats Around the Clock by Kathi Appelt

Take a humorous dance through time.   Click Dark and American Batstand introduce a new dance each hour.   Students move through time, enjoy some rhyme and learn the names of some oldie-but-goodie dances along the way.
  • Making Time: For the second reading, give students individual clocks and ask them to move the hour hand to the next hour and say the time before reading the book section for that hour.
  • School Time: Provide copies of the Image School Time Template and have students choose a time in the school day, draw the hands on the clock, write a verse and draw an illustration that shows what the class does during that hour. Assemble the individual hours into a class booklet or booklets, depending on the number of students in the class. This activity is easily differentiated to feature time on the hour, or to use the real time schedule of activity changes the class follows. The template clock deliberately shows no hands, allowing teachers to customize the activity to the appropriate mathematical level of students in the class.

Tuesday, May 31, 2011

Problem Solving: Multiplication Arrays

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Arrays are one graphical representation of multiplication that students must understand.  These problems were created to provide practice in creating arrays.

  • Ants Marching assesses student understanding of the concept of multiplication as arrays.
  • Third Grade Parade also assesses student understanding of the concept of multiplication as arrays.
  • Cheerleader Competition was designed to assess student understanding of multiplication as an array.