# HALLOWEEN LATIN SQUARES Pumpkin Squares Critical Thinking GATE Differentiated

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2 MB|12 pages
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CRITICAL THINKING CENTER: Pumpkin Squares (Latin Squares)

Use PUMPKIN SQUARES to teach your students deductive reasoning while disguising it as lots of fun in the weeks leading up to Halloween. PUMPKIN SQUARES are square arrays of n x n rows and columns in which n items fill the cells so that no item is used more than once in each row and column. Known as Latin Squares in mathematics, they are used for statistical analysis. If they seem familiar, they should; Sudoku is a 9 x 9 Latin Square.

CONTENTS

• 5 work mats
• 3x3 array
• 4x4 array
• 5x5 array
• 6x6 array
• 7x7 array
• 49 pumpkin tiles
• 7 yellow pumpkin tiles
• 7 dark blue pumpkin tiles
• 7 purple pumpkin tiles
• 7 pink pumpkin tiles
• 7 orange pumpkin tiles
• 7 green pumpkin tiles
• 7 light blue pumpkin tiles
• 3 extension work mats
• 5x5 array with several preprogrammed tiles
• 6x6 array with several preprogrammed tiles
• 7x7 array with several preprogrammed tiles

HOW TO USE THIS PRODUCT

• Copy the work mats and pumpkin tiles on heavy cardstock. Cut the tiles apart.
• Demonstrate the task using the 3x3 array work mat and 3 tiles each of 3 colors.
• Distribute copies of the other boards to your students. Instruct your learners to complete the task independently, using ever harder arrays.
• Use the extension arrays to spur students who may be reluctant to abandon the “easy,” diagonal stripes solutions. The extension arrays have several tiles preprogrammed.
• Use Pumpkin Squares for small group instruction.
• Place Pumpkin Squares in a math center.
• Provide Pumpkin Squares materials for a sponge activity.
• Fast finishers love working on Pumpkin Squares.

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Enjoy!

Barb Evans

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12 pages
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