Students have learned about the probability of simple events in the previous unit. In this unit, students will discover how probabilities change when two events occur at the same time. Students may struggle with how to compute the probability of compound events. Later in grade 7, students will use probabilities to make inferences.
Key Concepts:
 The possible outcomes for compound events are countable and "listable".
 The probability of a compound event is the fraction that represents the number of favorable outcomes of the total number of possible outcomes.
 We can design simulations to generate frequencies for compound events, and then compare the observed frequencies to the expected frequencies.
Prior Knowledge Needed:
 Students learned the concept of rational numbers in Grade 6, Unit 1. This is important because it is the foundation for understanding fractions. All probabilities can be written as fractions between 0 and 1, inclusive.
 In Grade 7, Unit 1 (7.NS.A.2), students learned that rational numbers can be multiplied and divided and that long division can be used to convert a rational number to a decimal. This will help when representing probabilities as ratios, decimals, and percentages.
 In Grade 7, Unit 2 (7.RP.A.2), students learned how to determine whether two ratios are equivalent. This will help students when comparing probabilities.
 In Grade 7, Unit 3 (7.RP.A.3), students learned that proportional relationships can be used to solve multistep ratio and percent problems. Students will transfer this knowledge to probabilities.
 Grade 7, Unit 8 deals with probability, preparing students for work with compound events.
Units on the Horizon:
 Sampling, inferences, and comparing populations (Grade 7, Unit 10)
Lessons

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 det...

Lesson objective: Use a tree diagram to represent the list of possible outcomes and multiply the number of options to find the total number of outcomes. This lesson helps to build fluency with multiplying the number of options to find the total number o...

Lesson objective: Understand that the probability of a compound event is the fraction that represents the number of favorable outcomes of the total number of possible outcomes. Students bring prior knowledge of probability of simple events from 7.SP.5. ...

Lesson objective: Use multiplication to find the probabilities of compound events for independent and dependent events. This lesson helps to build fluency using multiplication to find the probabilities of compound events. A tree diagram is used here bec...

Lesson objective: Practice using addition to find the probabilities of "at least," "or," and "less than" with replacement. This lesson helps to build fluency with using multiplication to find the probabilities of independent compound events and addition...

Lesson objective: Practice using addition to find the probabilities of "at least," "or," and "less than" without replacement. This lesson helps to build fluency with using multiplication to find the probabilities of dependent compound events and additio...

Lesson objective: Apply probabilities of compound events to a realworld situation. This lesson provides an opportunity for students to apply their knowledge and understanding of probability of compound events to a reallife situation. Students are aske...

Lesson objective: Understand that we can design simulations to generate frequencies for compound events, and then compare the observed frequencies to the expected frequencies. Students bring prior knowledge of experimental probability from 7.SP.7. This ...

Lesson objective: Practice generating frequencies to simulate compound events. This lesson helps to build procedural skill with generating frequencies to simulate compound events. A frequency table is used here because it supports the organization of ge...

Lesson objective: Apply simulations to a real world situation. This lesson provides an opportunity for students to apply their knowledge and understanding of simulations and compound probability to a reallife situation. Students are asked to design a s...