ALEX Resources

   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.

[DLIT] (7) 33 :

27) Identify data needed to create a model or simulation of a given event.

Examples: When creating a random name generator, the program needs access to a list of possible names.

[MA2019] ACC-7 (7) 30 :

30. 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 observe frequencies, explaining possible sources of discrepancy. [Grade 7, 14]

In this lesson, students will use an online spinner to explore theoretical and experimental probabilities. Students will also make predictions and support their reasoning before completing a probability experiment. Then students will design a spinner where all the sections are not uniform. To be able to compare results, the only variable changed is the size of the sections. Students will express probability results in both percent and fraction forms. Finally, students will reflect on a simulation of a given event.

What's the Chance Activity Page

   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] ACC-7 (7) 30 :

30. 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 observe frequencies, explaining possible sources of discrepancy. [Grade 7, 14]

In this activity, the students will visit the website, Probability Fair, to reinforce a lesson on finding simple probability or chance. The students will demonstrate their knowledge of finding probability to acquire the most tickets in the class.

This activity results from the ALEX Resource GAP Project.

   View Standards     Standard(s): [MA2019] REG-7 (7) 13 :

13. Use a number from 0 to 1 to represent the probability of a chance event occurring, explaining that larger numbers indicate greater likelihood of the event occurring, while a number near zero indicates an unlikely event.

[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.

   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) 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] ACC-7 (7) 30 :

30. 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 observe frequencies, explaining possible sources of discrepancy. [Grade 7, 14]

In this PhET activity, students will drop balls through a triangular grid of pegs and see them accumulate in containers. Switch to a histogram view and compare the distribution of balls to an ideal binomial distribution. Adjust the binary probability and develop your knowledge of statistics! This activity could be used to help teach a lesson on probability. This Phet activity can be downloaded and assigned to Google Classroom.