## Cones and Spheres

How Many Cones Does It Take To Fill a Sphere? In this 3 act math task, the teacher will show short video clips to help students understand where the Volume of a Sphere formula comes from. Similar to the last Volume 3 Act Math Task: Prisms and Pyramids, the intention has been to leave Act 1 of each set very vague to allow for students to take the problem in more than one direction. The teacher can bring light to the learning goal of showing where the formula for volume of a sphere comes from after watching Act 1. Act 1: What's the question? My students usually explore the relationship between the volume of a prism and a pyramid, so this activity is typically considered an extension. To begin, I show students this image: ...

## Prisms and Pyramids

How Many Pyramids Does It Take To Fill a Prism? In this multi-step 3 act math task, the teacher will show three sets of 3 Act Math Style tasks involving comparisons between rectangular prisms and pyramids, triangular base prisms and pyramids, and cylinders and cones. While the intention has been to leave Act 1 of each set very vague to allow for students to take the problem in other directions, the learning goal becomes obvious shortly after seeing the first set of videos. Task #1: Rectangular Prisms vs. Rectangular Pyramids Act 1: What's the question? Show the following short video clip: http://youtu.be/KbWq1PV9Sno I gave my students some time to chat with a partner and come up with some possible questions for this...