Day 114: All About That Base

Algebra is starting exponents. Yet again, I pulled an opening activity from Dan. This time it came from a video.

Here is a quick rundown

  • Ask students to break 25 down into as many pieces as they want.
  • Multiply those pieces.
  • Talk to a neighbor, compare.
  • Who has the largest?

This took a good 15-20 minutes till students were satisfied and convinced their number was the largest. Almost every period settled on a different number. I am not going to push them to reach one magical number.

It got tiring and time consuming to write 2(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)(1) into the calculator and on papers so eventually the idea of 2¹²(1) came up instead writing all those 2s. This lead really well into talk about exponents.

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3 thoughts on “Day 114: All About That Base

    1. danburf Post author

      Interesting… none of my students thought of that. It was only in one period that a student came up with 2.5 raised to the tenth. I see a lot of potential in discussing how 25 can be broken into bases of two and three. i.e. two to the power of 8 multiplied by 3 to the power of three.

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