**7th Grade, CC2, Unit 1**

**Probability**

Chapter OutlineSection 1.1 This section will introduce you to several of the big ideas of the course. Each problem will require your study team to work together using several problem-solving strategies.Section 1.2 In this section, you will learn to find the probability of a specific event. You will also learn about the meaning of probability and how it is expressed mathematically. After collecting experimental data, you will explore the difference between theoretical and experimental probability. You will then find the probabilities of two separate events. |
Guiding Questions1. How can I work with my team to figure it out? 2. What questions can I ask about this problem? 3. How can I represent this? 4. How can I organize my work? |
Vocabularyarea compound events desired outcomes equivalent fractions experimental probability lowest common denominator interval mean measure of central tendency median multiplicative identity outcome outliers parallelogram percent perimeter possible outcomes probability proportional relationship rectangle repeating decimal sample space scaling terminating decimal theoretical probability trapezoid triangle |

**Standards**

7.SP.5. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

7.SP.6. Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

*For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.*

7.SP.7a. Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

*For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.*

7.SP.7b. Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.

*For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?*

7.SP.8a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.