Math Puzzler: Triangle Sums

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Objective

Students will create triangles in which each side adds up to the same sum.

From Prufrock Press' Advanced Common Core Math Exploration series, we introduce the Triangle Sums exploration.

Steps

  1. Using the digits 1-9, and four blanks per side, students try to sum up each side of a triangle to equal 17.
  2. We break down the importance of the corner spots, then students use 1-12 and five blanks per side to sum up to the smallest sides possible.
  3. We reveal the solution, then students try to predict the smallest sides of a triangle with only 3 blanks per side, then 6 and 7.
  4. We discuss the pattern between the sum of all numbers and the sum of the smallest sides.

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