FIDO'S LUNCH

  • This lesson helps students understand linear relationships using sequences and t-charts. It does it in a relatable story, and uses technology in an interactive javascript website, and a Kagan group activity using AwwApp.com as a collaborative white board.
  • Start by asking students if they have a dog, inevitably several students will raise their hands. Follow up by asking what kind of things do you HAVE to do when you have a dog. You should be seeking eventual responses of feeding their dogs and picking up after their dogs. There should be an emphasis that your dog needs input, and when there is input, there is always going to be an output.
  • Demonstrate the interactive fido input/output at Fido, and tell the story of feeding your dog Fido these inputs and what outputs result. Record the input and output in a t-chart. Students can visit this website and interact with the input/output values as well.
  • Emphasize rate of change, and how this is repeatadly being added to the sequence (in the Fido example, three is being repeatadly added). Then ask what operation can have us do repeated addition easier. Guide students to understanding that multiplication is repeated addition.
  • Then show how you can multiply that change by the unknown input, and then ask what else needs to be done. Have them test out some of the inputs, and ask what other operation needs to be done to make it work. Test out some of their suggestions until you find the correct realtionship. In this example it should be adding four.
  • Once you have agreed on the relationship, check it by clicking on the grey box to show 3n+4 is the realtionship.
  • Now share links to each group to their respective AwwApp sketch rooms. This can be done at the completion of the story or done prior to the lesson being shared. In these sketch rooms, give each group some sequences to collaborate on. Have the students save an image copy of each example that they complete. They can then share those out on their wiki pages
  • Sample AwwApp:

    • Fido's Lunch Interactive | AwwApp

    Examples to Work on

    Easy

  • 1, 5, 9, ...
  • 2, 7, 12, ...
  • 3, 5, 7, ...
  • 5, 11, 17, ...
  • 1, 8, 15, ...
  • 2, 10, 18, ...
  • 4, 8, 12, ...
  • 3, 6, 9, ...
  • 2, 4, 6, ...
  • 7, 10, 13, ...

    		•

    Medium

  • 10, 6, 2, ...
  • 12, 6, 0, ...
  • 3, -1, -5, ...
  • -5, -2, 1, ...
  • -3, 0, 3, ...
  • 4, -2, -8, ...
  • -6, -8, -10, ...
  • 3, 1, -1, ...
  • 8, 5, 2, ...
  • -7, -3, 1, ...

    		•

    Hard

  • (0, 3), (1, 5)
  • (0, -2), (5, 0)
  • (4, -4), (3, 5)
  • (-5, 0), (0, -3)
  • (1, 2), (2, 3)
  • (-4, 2), (2, -2)
  • (-5, 4), (0, 1)
  • (0, -1), (1, 1)
  • 2, 4, 8, ...
  • 3, 6, 9, ...

    		•

    Created by Michael J. Matteson. W | E