In this Cyberchase activity, students watch a video clip of Bianca as she uses Venn diagrams to try to satisfy three people's preferences in pizza toppings. Students practice using Venn diagrams to represent the pizza topping preferences. They are then introduced to prime numbers, prime factorization, and the use of Venn diagrams to determine least common multiple and greatest common factor.
Why is this an important concept?
Venn diagrams provide a resource for organizing data to show common and unique properties among different sets. They can be used to represent the relationship amongst prime factors of two integers and find GCF and LCM.
Pizza Toppings QuickTime Video
Part I: Learning Activity
1. Read the following to your students: "You will watch a video clip in which Bianca tries to satisfy three different people's preferences for toppings on a pizza. Watch the video clip to see how she uses a common mathematical tool called Venn diagrams to accomplish this."
2. Play the Pizza Toppings QuickTime Video.
3. Distribute Handout: Gleamers and Glow Power. Note: Pages 1 and 2 of the handout are a review of Greatest Common Factor (GCF) and Lowest Common Multiple (LCM).
4. Discuss answers to the handout.
Part II: Assessment
Assessment: Level A (proficiency): Students are asked to enter data into a Venn diagram using given information about a group of people. Students will also solve LCM and GCF problems.
Assessment: Level B (above proficiency): Students are asked to extend their understanding by figuring out the LCM and GCF of three numbers.