# Lesson 3

Sample Spaces

### Lesson Narrative

The mathematical purpose of this lesson is to describe and use the sample space for chance experiments to calculate probabilities for compound events. The work of this lesson connects to previous work because students made connections to prior knowledge about probability and used probability to interpret data. The work of this lesson connects to upcoming work because students will use two-way tables and relative frequency tables to determine probabilities for some events. When students choose to use an organized list, table, or tree diagram to determine the sample space, they are using appropriate tools strategically (MP5).

### Learning Goals

Teacher Facing

• Create (in writing and using other representations) and coordinate (orally and in writing) different representations for recording sample space for chance experiments.
• Use organized lists, tables, and tree diagrams to calculate probabilities for compound events.

### Student Facing

• Let’s look closer at sample spaces.

### Student Facing

• I can create organized lists, tables, and tree diagrams and use them to calculate probabilities.

Building On