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Sample Space Teacher Resources
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Seventh and eighth graders examine how to use tree diagrams and sample spaces in order to make predictions about independent events. They define key vocabulary terms, and examine a tree diagram that illustrates the possibilities of tossing a coin three times. Independently, they create their own tree diagram, and design a sample space table. The lesson plan is richly-detailed, making it easy to implement in your math class.
Probability pros conduct a variety of experiments and solve them using tree diagrams and sample spaces to make predictions. They define key vocabulary terms, and observe how to diagram the theoretical probability of tossing a coin three times. To conclude, they design their own probability experiment. The lesson plan is thoroughly written so that you can implement it easily. Let the games begin!
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 plan 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 plan are fairly simple, but include two assessment questions and an extension suggestion.
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.
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.
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!
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.
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.
In 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.
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.
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.
Middle schoolers solve and complete four various types of problems. First, they list all the possible orders completed. Then, pupilscomplete the table and show all the outcomes of throwing a coin and spinning a spinner. They also use a sample space diagram to find all the possible outcomes of two different events.
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, students 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.