Illustrative Math Alignment: Grade 7 Unit 8
Probability and Sampling
Lesson 7: Simulating Multi-step Experiments
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Probability Concepts--Probability: Example 23 | Math Example--Probability Concepts--Probability: Example 23TopicProbability and Statistics DescriptionThis example presents a drawer with colored socks in pink, yellow, green, blue, white, gray, and black. Students calculate the probability of selecting socks that are neither green nor white by finding the total number of non-green and non-white socks and dividing it by the total number of socks. Visual aids enhance understanding. For a complete collection of math examples related to Probability click on this link: Math Examples: Probability Collection. |
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Math Example--Probability Concepts--Probability: Example 24 | Math Example--Probability Concepts--Probability: Example 24TopicProbability and Statistics DescriptionThis example features a drawer with colored socks in pink, yellow, green, blue, white, gray, and black. Students determine the probability of selecting socks that are neither green nor yellow by calculating the total number of non-green and non-yellow socks and dividing it by the total number of socks. Visual aids clarify these calculations. For a complete collection of math examples related to Probability click on this link: Math Examples: Probability Collection. |
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Math Example--Probability Concepts--Probability: Example 25 | Math Example--Probability Concepts--Probability: Example 25TopicProbability and Statistics DescriptionThis example involves a drawer containing socks in different colors such as green, red, blue, yellow, white, and gray. Students calculate the probability of selecting socks that are neither green nor red. To solve this, they find the total number of non-green and non-red socks and divide it by the total number of socks. This exercise reinforces basic probability concepts using visual aids to support understanding. Multiple examples like this help students grasp different scenarios, building confidence in their ability to solve similar problems independently. |
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Math Example--Probability Concepts--Probability: Example 26 | Math Example--Probability Concepts--Probability: Example 26TopicProbability and Statistics DescriptionThis example shows a drawer with socks in various colors, including green, blue, black, pink, yellow, white, and gray. It focuses on finding the probability of selecting socks that are not green, blue, or black. Students determine the total number of non-green, non-blue, and non-black socks and divide it by the total number of socks. Visual aids clarify these calculations and reinforce understanding. Seeing multiple worked-out examples helps students develop an intuitive sense for how probabilities work. |
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Math Example--Probability Concepts--Probability: Example 27 | Math Example--Probability Concepts--Probability: Example 27TopicProbability and Statistics DescriptionThis example features a standard deck of 52 playing cards laid out in rows. It explains how to find the probability of selecting two cards that are either face cards or hearts using probability formulas. Since these events are not mutually exclusive (some face cards are hearts), students must account for overlap in their calculations. This problem illustrates the importance of understanding event exclusivity in probability. Visual aids help students grasp these concepts more effectively. |
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Math Example--Probability Concepts--Probability: Example 28 | Math Example--Probability Concepts--Probability: Example 28TopicProbability and Statistics DescriptionThis example involves a deck of 52 playing cards and includes a formula for solving the probability problem. Students calculate the probability of selecting two cards that are aces or spades. Since these events are not mutually exclusive (one ace is also a spade), they must adjust their calculations accordingly. This exercise highlights the need to consider overlapping events in probability calculations. Visual aids provide clarity and reinforce learning through practical application. |
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Math Example--Probability Concepts--Probability: Example 3 | Math Example--Probability Concepts--Probability: Example 3TopicProbability and Statistics |
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Math Example--Probability Concepts--Probability: Example 4 | Math Example--Probability Concepts--Probability: Example 4TopicProbability and Statistics |
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Math Example--Probability Concepts--Probability: Example 5 | Math Example--Probability Concepts--Probability: Example 5TopicProbability and Statistics |
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Math Example--Probability Concepts--Probability: Example 6 | Math Example--Probability Concepts--Probability: Example 6TopicProbability and Statistics |
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Math Example--Probability Concepts--Probability: Example 7 | Math Example--Probability Concepts--Probability: Example 7TopicProbability and Statistics |
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Math Example--Probability Concepts--Probability: Example 8 | Math Example--Probability Concepts--Probability: Example 8TopicProbability and Statistics |
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Math Example--Probability Concepts--Probability: Example 9 | Math Example--Probability Concepts--Probability: Example 9TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Conditional Events--Example 1 | Math Example--Probability Concepts--The Probability of Conditional Events--Example 1
This is part of a collection of math examples that explore different aspects of probability. |
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Math Example--Probability Concepts--The Probability of Conditional Events--Example 2 | Math Example--Probability Concepts--The Probability of Conditional Events--Example 2
This is part of a collection of math examples that explore different aspects of probability. |
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Math Example--Probability Concepts--The Probability of Conditional Events--Example 3 | Math Example--Probability Concepts--The Probability of Conditional Events--Example 3
This is part of a collection of math examples that explore different aspects of probability. |
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Math Example--Probability Concepts--The Probability of Conditional Events--Example 4 | Math Example--Probability Concepts--The Probability of Conditional Events--Example 4
This is part of a collection of math examples that explore different aspects of probability. |
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Math Example--Probability Concepts--The Probability of Conditional Events--Example 5 | Math Example--Probability Concepts--The Probability of Conditional Events--Example 5
This is part of a collection of math examples that explore different aspects of probability. |
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Math Example--Probability Concepts--The Probability of Conditional Events--Example 6 | Math Example--Probability Concepts--The Probability of Conditional Events--Example 6
This is part of a collection of math examples that explore different aspects of probability. |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 1 | Math Example--Probability Concepts--The Probability of Independent Events--Example 1TopicProbability and Statistics DescriptionThis example illustrates a situation where understanding probability through visual aids can greatly enhance learning. Example 1. These are all the possible outcomes of rolling two fair dice. What is the probability of rolling a pair of dice whose numbers add up to 2? Solution: Count total possibilities, divide by total outcomes. |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 10 | Math Example--Probability Concepts--The Probability of Independent Events--Example 10TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 11 | Math Example--Probability Concepts--The Probability of Independent Events--Example 11TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 12 | Math Example--Probability Concepts--The Probability of Independent Events--Example 12TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 13 | Math Example--Probability Concepts--The Probability of Independent Events--Example 13TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 14 | Math Example--Probability Concepts--The Probability of Independent Events--Example 14TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 15 | Math Example--Probability Concepts--The Probability of Independent Events--Example 15TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 2 | Math Example--Probability Concepts--The Probability of Independent Events--Example 2TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 3 | Math Example--Probability Concepts--The Probability of Independent Events--Example 3TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 4 | Math Example--Probability Concepts--The Probability of Independent Events--Example 4TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 5 | Math Example--Probability Concepts--The Probability of Independent Events--Example 5TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 6 | Math Example--Probability Concepts--The Probability of Independent Events--Example 6TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 7 | Math Example--Probability Concepts--The Probability of Independent Events--Example 7TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 8 | Math Example--Probability Concepts--The Probability of Independent Events--Example 8TopicProbability and Statistics |
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Math Example--Probability Concepts--The Probability of Independent Events--Example 9 | Math Example--Probability Concepts--The Probability of Independent Events--Example 9TopicProbability and Statistics |
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Math in the News: Issue 65--Tracking Hurricane Sandy | Math in the News: Issue 65--Tracking Hurricane Sandy
October 2012. In this issue of Math in the News, we look at probability maps that predict landfall and storm surge for Hurricane Sandy. This provides a real-world opportunity for data analysis. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
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Math in the News: Issue 7--Texas Wildfires | Math in the News: Issue 7--Texas Wildfires
5/2/11. In this issue we explore the wildfires in Texas. In particular, we conduct random walk simulations as a tool for predicting the path of a wildfire. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
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Math Simulation: Probability: Card Shuffle 2 | Math Simulation: Probability: Card Shuffle
In this simulation, draw two random playing cards. Use this to run card game simulations that involve compound probability. One lesson tutorial uses this simulation: Lesson —Click on Preview to launch the simulation— |
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Math Simulation: Probability: Card Shuffle 3 | Math Simulation: Probability: Card Shuffle
In this simulation, simulate a round of poker. Use this to run card game simulations that involve compound probability. Note: the download provides instructions on using this game. —Click on Preview to launch the simulation— |
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Math Simulation: Probability: Card Shuffle 3 (Mobile) | Math Simulation: Probability: Card Shuffle
In this simulation, simulate a round of poker. Use this to run card game simulations that involve compound probability. This is the mobile version of the desktop simulation and is optimized for use on a phone. Note: the download provides instructions on using this game. —Click on Preview to launch the simulation— |
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Math Simulation: Probability: Rolling One Die | Math Simulation: Probability: Rolling One Die
Use this Math Simulation to have students conduct probability experiments. In this Simulation one die is rolled. The Simulation tracks the following data: Total Number of Rolls, Number of occurrences of 1, 2, 3, 4, 5, and 6. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Rolling One Number Cube | Math Simulation: Probability: Rolling One Number Cube
Use this Math Simulation to have students conduct probability experiments. In this Simulation one number cube is rolled. The Simulation tracks the following data: Total Number of Rolls, Number of occurrences of 1, 2, 3, 4, 5, and 6. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Rolling Two Dice | Math Simulation: Probability: Rolling Two Dice
Use this Math Simulation to have students conduct probability experiments. In this Simulation two dice are rolled. The Simulation tracks the following data: Total Number of Rolls, Number of occurrences of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Rolling Two Number Cubes | Math Simulation: Probability: Rolling Two Number Cubes
Use this Math Simulation to have students conduct probability experiments. In this Simulation two number cubes are rolled. The Simulation tracks the following data: Total Number of Rolls, Number of occurrences of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Spinners--Fifths | Math Simulation: Probability: Spinners--Fifths
Use this Math Simulation to have students conduct probability experiments. In this Simulation a 5-section Spinner is used. The Simulation tracks the following data: Total Number of Spins, Number of occurrences of 1, 2, 3, 4, and 5. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Spinners--Fourths | Math Simulation: Probability: Spinners--Fourths
Use this Math Simulation to have students conduct probability experiments. In this Simulation a 4-section Spinner is used. The Simulation tracks the following data: Total Number of Spins, Number of occurrences of 1, 2, 3, and 4. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Spinners--Halves | Math Simulation: Probability: Spinners--Halves
Use this Math Simulation to have students conduct probability experiments. In this Simulation a 2-section Spinner is used. The Simulation tracks the following data: Total Number of Spins, Number of occurrences of 1 and 2. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Spinners--Sixths | Math Simulation: Probability: Spinners--Sixths
Use this Math Simulation to have students conduct probability experiments. In this Simulation a 6-section Spinner is used. The Simulation tracks the following data: Total Number of Spins, Number of occurrences of 1, 2, 3, 4, 5, and 6. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Spinners--Thirds | Math Simulation: Probability: Spinners--Thirds
Use this Math Simulation to have students conduct probability experiments. In this Simulation a 3-section Spinner is used. The Simulation tracks the following data: Total Number of Spins, Number of occurrences of 1, 2, and 3. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Tossing One Coin | Math Simulation: Probability: Tossing One Coin
Use this Math Simulation to have students conduct probability experiments. In this Simulation one coin is tossed. The Simulation tracks the following data: Total Number of Coin Tosses, Number of occurrences of Heads and Tails. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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Math Simulation: Probability: Tossing Three Coins | Math Simulation: Probability: Tossing Three Coins
Use this Math Simulation to have students conduct probability experiments. In this Simulation three coins are tossed. The Simulation tracks the following data: Total Number of Coin Tosses, Number of occurrences of HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT. The Teacher's Guide provides additional resources for students to conduct their experiments. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
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