The mathematical purpose of this lesson is to describe events composed of other events and to calculate the probability of events using information represented in tables and in Venn diagrams. The work of this lesson connects to previous work because students used twoway tables and twoway frequency tables to calculate probabilities for some events. The work of this lesson connects to upcoming work because student will learn to use the addition rule to calculate probabilities. When students compare probabilities calculated through experimentation to probabilities calculated by using samples spaces they are reasoning abstractly and quantitatively (MP2).
Lesson overview
 5.1 Warmup: Notice and Wonder: Birds and Bats (5 minutes)
 5.2 Activity: Eventful Islands (10 minutes)
 5.3 Activity: Info Gap: College and Career Planning (15 minutes)

5.4 Optional Activity: Number Cube Descriptions (15 minutes)
 There is a digital applet in this activity.
 Includes "Are you Ready for More?" extension problem
 Lesson Synthesis
 5.5 Cooldown: Playing Sports (5 minutes)
Learning goals:
 Calculate the probability of events using information in tables and in Venn diagrams.
 Interpret (orally and in writing) Venn diagrams and tables to describe events composed of other events.
Learning goals (student facing):
 Let’s look at ways to describe events composed of other events.
Learning targets (student facing):
 I can use tables and Venn diagrams to represent sample spaces and to find probabilities.
Required materials:
 Number cubes, or the access to devices that can run the embedded digital applet.
 Preprinted cards, cut from copies of the blackline master
Required preparation:
 One pair of number cubes is needed for each student for the print version of the activities.
 A digital number cube simulator is available in the digital version of the activity.
 Devices are required for the digital version of the activity Number Cube Descriptions.
Standards:
 This lesson builds towards the standard: CCSS.HSSCP.A.2MS.SCP.2MO.G.CP.A.2
IM Algebra 1, Geometry, Algebra 2 is copyright 2019 Illustrative Mathematics and licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.