ALEX Resources

   View Standards     Standard(s): [MA2019] REG-7 (7) 16 :

16. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event.

[MA2019] ACC-7 (7) 32 :

32. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event. [Grade 7, 16]

Use a tree diagram to find the probability that a set of triplets will be all girls in this interactive from MPT. In the accompanying classroom activity, students find the probability of various outcomes of compound events involving a set of dice, such as the probability of rolling doubles and the probability of rolling at least one “2.” They share solution strategies, including methods of representing sample spaces for these compound events. To get the most from the lesson, students should have experience developing and using uniform probability models. For a longer self-paced student tutorial using this media, see "Tree Diagrams" on Thinkport from Maryland Public Television.

   View Standards     Standard(s): [MA2019] REG-7 (7) 14 :

14. Define and develop a probability model, including models that may or may not be uniform, where uniform models assign equal probability to all outcomes and non-uniform models involve events that are not equally likely.

a. Collect and use data to predict probabilities of events.

b. Compare probabilities from a model to observed frequencies, explaining possible sources of discrepancy.

[MA2019] REG-7 (7) 15 :

15. Approximate the probability of an event using data generated by a simulation (experimental probability) and compare it to the theoretical probability.

a. Observe the relative frequency of an event over the long run, using simulation or technology, and use those results to predict approximate relative frequency.

[MA2019] REG-7 (7) 16 :

16. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event.

In Module 5, Topic B, students move to compare probabilities from simulations to computed probabilities that are based on theoretical models (7.SP.C.6, 7.SP.C.7). They calculate probabilities of compound events using lists, tables, tree diagrams, and simulations (7.SP.C.8). They learn to use probabilities to make decisions and to determine whether or not a given probability model is plausible (7.SP.C.7). The Mid-Module Assessment follows Topic B.

   View Standards     Standard(s): [MA2019] REG-7 (7) 16 :

16. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event.

[MA2019] ACC-7 (7) 32 :

32. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event. [Grade 7, 16]

In this interactive activity, students will be led through steps to find all the combinations of a particular event. There are teaching activities as well as practice activities available. A handout that reviews the strategies taught during the activity can be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.

   View Standards     Standard(s): [MA2019] REG-7 (7) 16 :

16. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event.

[MA2019] ACC-7 (7) 32 :

32. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event. [Grade 7, 16]

This classroom resource provides a video that introduces the terms outcomes and predictions as related to probability and describes how to use outcomes to make predictions. After utilizing this resource, the students can complete the short quiz to assess their understanding.

   View Standards     Standard(s): [MA2019] REG-7 (7) 16 :

16. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event.

[MA2019] ACC-7 (7) 32 :

32. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event. [Grade 7, 16]

In this interactive activity, students will be led through steps to create a tree diagram to identify the probability of a particular event occurring. There are teaching activities as well as practice activities available. After utilizing this resource, the students can complete the short quiz to assess their understanding.