Lesson 4

Multiplication and Rectangles

Est. Class Sessions: 3

Extensions

  • Prime Numbers. Ask students to use tiles to investigate the factors of the numbers 1 to 50 and to identify the prime numbers. You might want to assign a different set of numbers to each group so their findings can be combined into a comprehensive class list.
  • Square Numbers. Ask students to make a list of square numbers: 0, 1, 4, 9, 16, 25, 36, 49, etc. Then ask them to subtract consecutive square numbers and to make a list of the differences. The first few numbers in the list of differences are 1 (1 − 0), 3 (4 − 1), and 5 (9 − 4). See Figure 8.
  • What pattern do you see? (The squares go up by consecutive odd numbers.)
  • Does this pattern continue? (yes)
  • Can you use this pattern to predict the next square number? (Yes, 100 = 81 + 19.)
Patterns of the square numbers
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