Problem Solving
  • Using twelve square times, how many different rectangles can you make?
  • I am thinking of a shape with an area of thirty square tiles. What might the shape look like?
  • I used twenty objects (all the same) to cover my table with no gaps. What might the objects be?
  • Sara covered approximately sixty-five squares on a centimeter grid. What objects might she have used to cover the square?
  • My grandmother bought a square rug and each side measured 2 yards. When she got it home it would not fit into the hallway so she cut up the rug and joined the pieces together again to make a shape that would fit. What might her rug look like?
  • Can you find some things that have a greater area tha your desk top but not much greater? Can yo find some things that have a smaller area than you desk top but not much smaller
  • It is possible to draw letters of the alphabet on grid paper. For example, this is what an A would look like: (boxed A) It takes ten squares. What other letters can be made in ten squares?
  • A teddy bear left a footprint on grid paper. It measured eight squares. What might his footprint look like?
  • A footprint was drawn on grid paper. Maggie said its area was twenty square units. Tony said that is was nineteen square units. How could this happen?
    • purpose of this is to focus on the errors the CAN be made.