Student Actions

Teacher Actions

• Develop Strategies for Problem Solving by using multiple representations like tree diagrams, tables, and pictures as a strategy to determine possible outcome of an event, report the list of outcomes, and count the number of outcomes.  

• Develop the Ability to Communicate Mathematically through writing and discussion about the various strategies for determining and representing the sample space using the mathematical language and terms related to finding sample space. 

• Use and connect mathematical representations for sample spaces like tree diagrams, tables, and pictures by modeling the various strategies to represent the set of all possible outcomes of a given experiment

• Engage students in making connections between these representations to deepen their understanding of sample space. Below is an example of a tree diagram for the experiment that involves tossing a 2-sided coin three times. 

• Pose purposeful questions to assess and advance the students’ reasoning and sense making about sample space.

• Implement tasks that promote reasoning and problem solving involving real-world applications of sample space such as selecting an outfit for school. 

Key Understandings

Misconceptions 

• Understand the sample space is the set of all possible outcomes for a given probability experiment

• Understand the sample space of an experiment can be determined by using tree diagrams, tables, and pictorial representations

• Understand the outcomes in an event for a given experiment are a subset of the experiment’s sample space. 

• Students may think that including all possible outcomes in a sample space is not needed. 

  Knowledge Connections

Prior Knowledge

Leads to 

• Represent possible outcomes using a probability continuum from impossible to certain.  (6.D.2.1) 

• Determine the theoretical probability of an event using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions and decimals between 0 and 1. (7.D.2.1) 

Sample Assessment Items

The Oklahoma State Department of Education is releasing sample assessment items to illustrate how state assessments might be designed to measure specific learning standards/objectives. These examples are intended to provide teachers and students with a clearer understanding of how the state assesses Oklahoma's academic standards and their objectives. It is important to note that these sample items are not intended to be used for diagnostic or predictive purposes. Ways to incorporate the items.

• 6.D.2.2 Technology Enhanced Item