Sample Space Teacher Resources

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Students use the sample space to make predictions and analyze data. In this statistics lesson, students apply properties of the probability of an event occurring to solve problems.
An engaging task awaits your starting statisticians: design a menu for a new cafe that offers a total of 240 combinations of a main dish, a side, a dessert, and a beverage. Creative juices will flow as collaborative groups employ lists, tables, or diagrams to come up with the possibilities. This is a delicious challenge for your math class when learning how to work with sample spaces and compound events.
If you have or can create a set of tiles, numbered one through eight, then you can implement this hands-on lesson about probability models. Individuals draw a tile from a bag, record its number, and then return it to the bag. They predict the probability of the product of three draws equalling an odd number. Teach them how to use sample spaces and tree diagrams to do so. The notes for the lesson are fairly simple, but include two assessment questions and an extension suggestion.
Students explore the concept of probability.  In this probability lesson, students create a video, poster, or podcast explaining what experiments, sample space, events, and outcomes are in relation to probability.  Students create a brochure or PowerPoint explaining the counting rules.  Students make a video, photostory, or use moviemaker to show teaching a probability lesson or how to find the probability of an event.
Students list the sample space of an experiment. In this statistics lesson, students calculate the number of favorable outcome in a given sample space. They define and apply mutually exclusive events versus not mutually exclusive events.
Eighth graders investigate the probability of combined events.  In this eight grade probability instructional activity, 8th graders use a sample space, two events, and their intersections to determine the probability of each event, their intersection, and their union.   
Six tasks make probability models come to life with this activity. Sample space diagrams and tree diagrams help statisticians compute probabilities of drawing red, blue, or white beads from a bag. Bold font makes this easy to read, and the problems that students work through are practical. 
In this sample spaces worksheet, 7th graders solve 10 different problems related to various types of sample spaces. First, they list the sample spaces for both a dice rolled and a card drawn from a bag. Then, students list the sample spaces for an order that includes different cold drinks and different ice creams.
For this sample spaces worksheet, 9th graders solve 10 different word problems that include sample spaces in each. First, they toss a coin and roll a die listing the sample spaces for each. Then, students flip one coin and select a card from a deck of cards listing the sample spaces for each.
For this probability worksheet, students complete word problems involving coins, letters, evens and odds, and more. Students complete 5 problems total.
Deciding what to wear can be difficult, but it helps if you know your options. Use a tree diagram to solve word problems like the one in this video! Class members can watch and learn how to find and count possible outcomes (or outfits). Play this video as a complement to your lesson or ask pupils to view it at home.
Sandwich this lesson between an introduction to using probability models and analyzing compound events. Your class considers a deli discount in which a customer receives a price reduction based on the roll of dice. Will it be a profitable promotion if the deli owner gambles away profits for the sake of drawing in more customers? Learners observe frequencies to develop a probability model to answer this question. A worksheet, detailed facilitator's notes, and assessment are all included, making  this a great deal!
By examining a set of dice roll data, statisticians determine the probability of different sums occurring. They visit an interactive website and determine how many different vacation outfits Bobbie Bear will have based on the colored shirts and pants he has. The lesson plan is underdeveloped, but there are extension, assessment, and remediation suggestions that may be helpful to you.
With a set of 15 chips and a number line, learners predict what sums may occur with the rolling of two dice. When their sum comes up, they remove one of the chips from their number line with the objective of being the first to remove them all. This game introduces probability concepts. A mentioned video is unavailable, but the game itself is a beneficial and engaging activity for your middle school mathematicians.
Eighth graders investigate Native American culture by participating in a game.  In this Native American history lesson plan, 8th graders discover the rules to the game Ko'ko'hasenestotse and how it was created.  Students play the card game with their classmates and discover the culture of the Cheyenne people.
Use this probability worksheet to have learners complete problems where they list items that are likely or unlikely, list possible outcomes, write ratios, and more. Pupils complete 14 problems.
Seventh graders investigate theoretical and experimental probability by conducting a series of experiments with multiple trials, comparing results, combining results and making conclusions. They express probabilities as fractions, percents or decimals. Predicting the results of a series of trials once the probability for one trail is known.
In this ELL, possible outcomes worksheet, learners solve 5 word problems where they use drawings, lists, and the Fundamental Counting Principle to determine the sample space and the number of possible outcomes for each problem. Definitions of the mathematical terms are provided.
Fifth graders conduct an experiment.  In this probability lesson, 5th graders try to determine the color of cubes placed in a bag, conduct an experiment where they tally the results and learn about the probability of picking each color cube.
Students identify the number of elements in a sample space. In this algebra instructional activity, students describe the counting principle and determine the number of outcomes in a sample space. They relate this to statistics.

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