How Many Will There Be? Triangles Within Triangles

🔒 This is just a preview! With a Byrdseed.TV PD account, you can use this video as professional development. You'll save some serious time. You'll never wonder what to present again. You can give your teachers the specifics they want. It's a game changer. Byrdseed.TV has 100s of lessons your teachers can use plus professional development resources for you! You'll save some serious time. You'll never wonder what to present again. You can give your teachers the specifics they want. It's a game changer. You can use these lessons directly with your students. Your teachers can use these Byrdseed.TV lessons directly with their students! It's a game changer. Your teachers can use Byrdseed.TV lessons directly with their students and you get access to PD resources. It's a game changer. Want to try Byrdseed.TV? Set up a free trial →
 

Related

Trickier →

Summary

A triangle splits and splits and splits again. How many will there be in step 20?

  1. First, students simply count up triangles in the first three steps (1, 3, and 9). Then they predict what the 4th step will be like.
  2. We reveal that step 4 has 27 triangles. I ask students to predict step 6.
  3. After revealing that step 6 has 243 triangles, we will try to predict all the way up to step 20!
  4. I discuss the pattern of repeating 3s and show how exponents are the key to quickly finding any step. And students confirm that, yes, step 20 has *over a billion triangles!*

Start using these resources with your students today! Get access to the library of done-for-you PD resources! Give your teachers access to hundreds of high-quality, done-for-you lessons! Get access to lessons for your teachers, plus done-for-you PD resources! Get access to the videos plus printable resources, interactive apps, and more!

Set up a free trial!

Teachers love Byrdseed.TV!

"This was the best money I have ever spent on a teaching tool!" ~  Christine in Wisconsin

"Byrdseed.TV has always been amazing but during the last year, you have been elevated to SUPERAMAZINGFANTASTIC status. You have saved my students from super boring lessons." ~  Heidi in California

"I love Byrdseed TV! I use it as a resource and inspiration source! Thank you so much for sharing your ideas and knowledge." ~  Kari in Texas