Type:

Other

Description:

In this activity, students roll a die that will advance either a blue or red car in a race to the finish. Students can adjust which numbers on the die make each car move, changing the probability that each car will win. This activity allows students to explore experimental and theoretical probability by running multiple races at once and examining how often each car wins and comparing that to how often each car is expected to win. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Subjects:

  • Mathematics > General

Education Levels:

  • Grade 1
  • Grade 2
  • Grade 3
  • Grade 4
  • Grade 5
  • Grade 6
  • Grade 7
  • Grade 8
  • Grade 9
  • Grade 10
  • Grade 11
  • Grade 12

Keywords:

Informal Education,Vocational/Professional Development Education,Middle School,NSDL,Upper Elementary,High School,Elementary School Programming,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-016,Elementary School,oai:nsdl.org:2200/20120614151507118T,High School Programming,Mathematics,Middle School Programming

Language:

English

Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution Non-Commercial Share Alike

Collections:

None
Update Standards?

CCSS.Math.Content.7.SP.C.5: Common Core State Standards for Mathematics

Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

CCSS.Math.Content.7.SP.C.7b: Common Core State Standards for Mathematics

Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.

CCSS.Math.Content.HSS-IC.A.2: Common Core State Standards for Mathematics

Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.

CCSS.Math.Content.HSS-IC.B.5: Common Core State Standards for Mathematics

Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

CCSS.Math.Content.HSS-CP.B.6: Common Core State Standards for Mathematics

Find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model.

CCSS.Math.Content.HSS-CP.B.9: Common Core State Standards for Mathematics

(+) Use permutations and combinations to compute probabilities of compound events and solve problems.

CCSS.Math.Content.HSS-MD.A.3: Common Core State Standards for Mathematics

(+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value.

CCSS.Math.Content.HSS-MD.B.6: Common Core State Standards for Mathematics

(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
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