IM 6.4.13 Lesson: Rectangles with Fractional Side Lengths

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  1. Appliquette 1 (.ggb)
     
  2. In the app, draw a square with side lengths of 1 inch. Inside this square, draw another square with side lengths of ¼ inch. (.ggb)
     
  3. On the graph paper, draw a rectangle that is 3 ½ inches by 2 ¼ inches. (.ggb)
     
  4. Each of these multiplication expressions represents the area of a rectangle. All regions shaded in light blue have the same area. Match each diagram to the expression that you think represent (.ggb)
     
  5. Use the diagram that matches 2 ½ · 4 ¾ to show that the value of 2 ½ · 4 ¾ is equal to 11 ⅞. (.ggb)
     
  6. The following rectangles are composed of squares, and each rectangle is constructed using the previous rectangle. The side length of the first square is 1 unit. Draw the next four rectangles (.ggb)
     
  7. Then complete the table with the side lengths of the rectangle and the fraction of the longer side over the shorter side. (.ggb)
     
  8. Draw a diagram to show how Noah could lay the tiles. Your diagram should show how many tiles would be needed to cover the length and width of the tray, but does not need to show every tile. (.ggb)