• Introduce the PoW program
• With a partner, do the problem and submit: Problems of the Week Library, problem 796
• Sample student solutions and mentoring
• Look for tools that would be useful with this problem

• Find the sizes of ten tables that would require 5 hits each to sink the ball.
• What relatively prime-sized tables result in 11 hits? (relatively prime: for an m X n table, m and n have no common factors)
• Write the rule (maybe two rules) for how many hits it would take to sink the ball, for an m by n table.
• Try an online survey to check your understanding.
• Design an activity (and possibly a variation on the tool) that you think would work better with your students.
• Reflect on the importance and challenge of the math and the value that the tool adds to the exercise
• Rate and save in My Math Tools

Rules: Player 1 wins 10 points when the spinner stops at yellow. Player 2 wins 16 points when the spinner stops at blue. Player 3 wins 24 points when the spinner stops at red.

Set the Adjustable Spinner as above. Play the game 5 times and calculate the winnings. Predict the score for each player after playing the game 300 times. Play the game 300 times and record the scores.

• Design a task or sequence that would develop algebraic reasoning.

Create a set of recommended tools for your grade.

(Please use this online form to submit resources.)

Tool: Zap the Aliens

Tool: Building Houses with Side Views

Tool: Geoboard

Tool: Secret Worlds: The Universe Within Powers of Ten

Tool: Pie Chart

Tool: Fraction Pieces

Tool: Multiplying Fractions

Tool: Arithmetic Four

Tool: Function Machine [Shodor's Project Interactivate]

Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs.

Tool: Function Machine [National Library of Virtual Manipulatives]

This virtual manipulative is designed to teach the concept of a function. It does so by allowing you experiment with various functions.

Tool: The Maze Game [Shodor's Project Interactivate]

This activity allows the user to practice their point plotting skills by having them move a robot through a mine field to a target location.

Tool: Cutouts, Nets [Freudenthal Institute]

Dynamic net for constructing Platonic solids. Slider adjusts from flat to solid; it is interesting to see the shapes materialize from the flat nets.

Tool: Balance applets

A series of balance applets of increasing difficulty.

tPoW: Munching Bugs

Help Sam the Chameleon use a special rule to find the bugs he can eat.

tPoW: Temperature Change

Use the given information to find the temperature.

tPoW: Galactic Exchange II

By using the vending machine to buy food, determine the relative values of the coins.

The "two days" follow-up work during the school year will be conducted online, and will consist of a number of activities and opportunities for online collaboration and participation. It will represent the equivalent of a minimum of two days of work. The nature of the work will vary depending on the interests of the participants.

• Outline next year's plan for you and your class. Include a communication plan with Math Forum staff for support.
• Draft a presentation/workshop and support plan for your staff. Include a communication plan with Math Forum staff.

• Browsing the entire Problems of the Week Library
• Looking at Philly-specific alignments (currently from last year):

  Grade 5
  Grade 6
  Grade 7
  Grade 8
  Grade 9

• Grade 6, First Six Weeks
  Grade 6, Second Six Weeks
  Grade 6, Third Six Weeks
  

• Grade 7, First Six Weeks
  Grade 7, Second Six Weeks
  Grade 7, Third Six Weeks
  

• Grade 8, First Six Weeks
  Grade 8, Second Six Weeks
  Grade 8, Third Six Weeks