The mathematical purpose of this lesson is to make connections between twoway tables and relative frequency tables and to use the tables to determine probabilities for some events. The work of this lesson connects to previous work because students used sample spaces to calculate probabilities of compound events. The work of this lesson connects to upcoming work because students will use tables and Venn diagrams to determine probabilities for some events. When students use twoway tables to estimate probabilities they are seeing and making use of structure (MP7).
Lesson overview
 4.1 Warmup: Notice and Wonder: Dog City (5 minutes)

4.2 Activity: Rolling into Tables (15 minutes)
 There is a digital applet in this activity.

4.3. Activity: Traveling Methods (10 minutes)
 Includes "Are you Ready for More?" extension problem
 Lesson Synthesis
 4.4 Cooldown: School Attendance (5 minutes)
Learning goals:
 Interpret (orally and in writing) a twoway table that represents a sample space.
 Use information in a twoway table to calculate relative frequencies and to estimate probabilities.
Learning goals (student facing):
 Let’s use tables to organize probabilities.
Learning targets (student facing):
 I can use information in a twoway table to find relative frequencies and to estimate probability.
Required materials:
 Number cubes, or the access to devices that can run the embedded digital applet.
Required preparation:
 One standard number cube is needed for each student.
Standards:
 This lesson builds on the standard: CCSS.HSSID.B.5MS.SID.5MO.A1.DS.A.4a
 This lesson builds towards the standard: CCSS.HSSCP.A.4MS.SCP.4MO.G.CP.A.4
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