Lesson objective: Understand that the possible outcomes for two events occurring at the same time can be listed and counted.

Students bring prior knowledge of simple events from 7.SP.6. This prior knowledge is extended to compound events as students determine all the possible outcomes for more than one simple event occurring at the same time. A conceptual challenge students may encounter is thinking that each individual branch of the tree diagram is an outcome when the path of each branch creates the outcomes.

This concept is developed through work with tables and tree diagrams, which help students to organize the outcomes of two or more events.

This work helps students deepen their understanding of numbers because the number of possible outcomes is a discrete number because it is countable.

Students engage in Mathematical Practice 5 (using appropriate tools strategically) as they use tables and tree diagrams to find the number of possible outcomes for compound events.

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