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WIU Math Conference


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Candy, Shapes & Fruit: The Building Blocks to Equation Solving Strategies

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WIU Math Conference

  1. 1. Candy, Shapes & Fruit The Building Blocks of Equation Solving Strategies Presented by Jill M. Schauland
  2. 2. Action Research <ul><li>These lesson activities are based on an Action Research project designed by Dr. Jim Olsen as part of the NIMS Summer 2009 workshop. </li></ul><ul><li>I conducted this project in my own classroom and found the lessons a great way to introduce and develop the concept of solving variable equations in a fun, engaging way. </li></ul><ul><li>I teach 6th grade math at Geneseo Middle School. </li></ul>
  3. 3. Essential Question <ul><li>Will the use of hands-on activities, computer games and problem solving worksheets help students develop their own strategies to solve equations represented by candy, shapes or fruit? </li></ul>
  4. 4. Objectives <ul><li>Understand the concept of equality and that equations represent equality. </li></ul><ul><li>Learn that variables can be used to represent unknown values in equations. </li></ul><ul><li>Understand that same shapes (variables) represent the same value. </li></ul><ul><li>Understand that different shapes (variables) generally represent different values. </li></ul><ul><li>Identify relationships between variables and numbers and solve for values of unknowns. </li></ul><ul><li>Develop strategies to solve for values of unknowns. </li></ul><ul><ul><li>Specifically: division strategy, subtraction strategy, substitution strategy, difference of symbols strategy, add equations strategy </li></ul></ul>
  5. 5. Illinois Learning Standards <ul><li>Goal 8: Algebra and Analytical Methods </li></ul><ul><li>A. Describe numerical relationships using variables and patterns. </li></ul><ul><li>C. Solve problems using systems of numbers and their properties. </li></ul><ul><li>D. Use algebraic concepts and procedures to represent and solve problems. </li></ul><ul><li>(ISAT Frameworks 8.8.04, 8.7.11, 8.7.10) </li></ul>
  6. 6. Day I Pre Test
  7. 7. Day II, III & IV Lesson Instruction & Activities
  8. 8. Candy Plates
  9. 9. Activity Overview <ul><li>This is a hands on learning activity to help students develop algebraic reasoning. Students are to find the value of each piece of candy. The number on the plate indicates the total value of the pieces of candy on that plate. Students develop their own strategies for solving the problems. </li></ul><ul><li>Students can also make Candy Plate problems for other students to solve. </li></ul>
  10. 10. Set Up & Discussion <ul><li>Plates with numbers on them and candies should be set up in advance. Teachers may want to have multiple copies of each problem and/or use stations or “centers.” </li></ul><ul><li>As students solve their problems they should discuss their methods and strategies for solving. (This is a great oral activity for extended response questions on ISAT.) </li></ul>
  11. 11. <ul><li>You may want to use sticky notes to indicate what materials belong on each plate, or the solutions themselves in case items get shifted and mixed up. </li></ul><ul><li>Candy is optional. This activity can also be used with colored chips or squares. </li></ul>
  12. 12. Online Games <ul><li>Algebraic Reasoning </li></ul><ul><li>This game is similar to the Weighing Blocks and Shape Equation problems from the Groundworks book. </li></ul>
  13. 13. Algebraic Reasoning <ul><li>More student clips…. </li></ul>
  14. 14. Algebraic Reasoning <ul><li>And another…… </li></ul>
  15. 15. Online Games <ul><li>Algebra Puzzle </li></ul>
  16. 16. Algebra Puzzle <ul><li>And another….. </li></ul>
  17. 17. Online Games <ul><li>Weigh the Wangdoodles </li></ul><ul><li>This game is similar to the Fruit Plate problems. </li></ul>
  18. 18. Weigh the Wangdoodles <ul><li>And another…… </li></ul>
  19. 19. Groundworks Worksheets <ul><li>Weighing Blocks </li></ul><ul><li>Shape Equations </li></ul><ul><li>Shape Grids </li></ul><ul><li>Fruit Plates </li></ul>
  20. 20. <ul><li>Thank you very much for attending this session. It was a pleasure to share these lessons and activities with you! </li></ul>
  21. 21. Number Jumbler <ul><li>Similar to 24, the Number Jumbler is a game that students can play using all mathematical operations. You simply add the black cube values together and then use the colored cubes 1 time each to create that sum. </li></ul>