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Exploring Combinations: How to Add Four Different Numbers to Equal 100

This activity invites participants to explore the challenge of finding sets of four different numbers that together sum to 100. Students will start by discussing their initial strategies and reflect on how they adapt their approaches as they discover new solutions. Participants will also share effective strategies they heard from classmates during discussions. Through hands-on problem-solving, this exercise develops critical thinking and collaborative skills, as well as an understanding of number relationships and combinations.

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Exploring Combinations: How to Add Four Different Numbers to Equal 100

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  1. 100 Sums • How many sets of 4 different numbers can you add to equal 100?

  2. 100 Sums • What was your first strategy to get 4 different numbers to equal 100? • How did you change your strategy as you found some solutions? • What strategy did you hear in the class sharing that you really like?

  3. 100 Sums • Can you add 4 numbers to equal 100? • Parameter: a+b=c, then b+c=d, then c+d=100 • Example: 1+5=6, 5+6=11, 6+11=17 Does not work!!!

  4. 100 Sums • Can you add 4 different numbers to equal 100? • Parameter: a+b=c, then b+c=d, then c+d=100 • Example: 16+25=41, 25+41=66, 41+66=107 Does not work!!!

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