# Probability

**BIG IDEAS****:**

*(taken from “Big Ideas by Dr. Small”)***:**

- Real-world situations can be represented using probabilities.
- Probability can be used to predict outcomes.
- Experimental probability and theoretical probability may differ due to chance.

**STUDENT LEARNING GOALS:**

**GOAL #1: I can identify and communicate probabilities from real-world scenarios.**

- VIDEO: Probability and Chance Events (Source: anix0271)
- VIDEO: Independent and Dependent Events (Source: Anywhere Math)
- VIDEO: How Probability is Used in the “Real World” (Source: Children’s University)
- QUIZ: Using Probability Language (Source: Nelson Education)
- QUIZ: Predicting Probabilities (Source: Nelson Education)
- GAME: Using Probability Language (Source: Harcourt Schools)
- GAME: Probability Continuum (Source: BiteSize Maths)
- GAME: Probability Pond (Source: Pearson Education)

**GOAL #2: I can determine all possible outcomes of an experiment**

- VIDEO: Finding Outcomes of Single Events (Source: kolumath)
- VIDEO: Using Tree Diagrams to Find Possible Outcomes (Source: MashUp Math)
- VIDEO: Using Tree Diagrams for Multiple Coin Flips (Source: Khan Academy)
- VIDEO: Solving a Problem using a Matrix Table (Source: MashUp Math)
- VIDEO: Die Rolling Problem (Source: Khan Academy)
- VIDEO: Finding Probability of Complex Events using an Area Model (Source: Sophia.org)
- QUIZ: Determining Possible Outcomes of Compound Events (Source: Nelson Education)

**GOAL #3: I can make predictions based on theoretical and/or experimental probabilities.**

- VIDEO: Introduction to Theoretical Probability
- VIDEO: Determining Theoretical Probability of Single Events (Source: Khan Academy)
- VIDEO: Making Predictions from Theoretical Probability (Source: mrmaisonet)
- VIDEO: Calculating Experimental Probability (Source: MathHelp.com)
- VIDEO: Making Predictions from Relative Frequencies (Source: Khan Academy)
- QUIZ: Calculating Theoretical Probability of Single Events (Source: Nelson Education)
- QUIZ: Calculating Probability (Source: Nelson Education)
- QUIZ: Using Tree Diagrams to Find Probabilities (Source: Nelson Education)
- QUIZ: Finding Probability of Compound Events (Source: Nelson Education)
- QUIZ: Determining Theoretical Probability (Source: Nelson Education)
- QUIZ: Comparing Theoretical and Experimental Probability (Source: Nelson Education)
- QUIZ: Applying Probabilities (Source: Nelson Education)
- GAME: Probability Circus (Source: hbschool)

**CURRICULUM EXPECTATIONS:**

- Compare experimental probabilities with the theoretical probability of an outcome involving two independent events;
- Research and report on real-world applications of probabilities expressed in fraction, decimal, and percent form (e.g., lotteries, batting averages, weather forecasts, elections);
- Make predictions about a population when given a probability;
- Represent in a variety of ways (e.g., tree diagrams, tables, models, systematic lists) all the possible outcomes of a probability experiment involving two independent events (i.e., one event does not affect the other event), and determine the theoretical probability of a specific outcome involving two independent events;
- Perform a simple probability experiment involving two independent events, and compare the experimental probability with the theoretical probability of a specific outcome.