This 2-lesson unit focuses on combinations, a subject related to probability. Students develop strategies for discovering all the possible combinations in two given situations. They learn to collect and organize data and then use the results to generalize methods for determining possible combinations. They discuss how the number of possible outcomes is affected by decisions about the order of choices, or whether choices may be repeated. The unit includes student activity sheets, questions and extensions for students, and a link to an interactive applet.


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Process Skills,Number and Operations,NSDL,Grade 3,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-016,Statistics,Problem Solving,Strategies,Mathematics,Arithmetic,Grade 7,Combinations and Permutations,Make Use Of Structure,Upper Elementary,Visual Representation,Discrete Mathematics,Multiplication,Concept Formation,Middle School,Mathematical Language,Practice Standards,Data Collection,Representation,oai:nsdl.org:2200/20120614151520734T,Construct Arguments,Operations,Education,Probability,Critical Thinking,Communication,Reason Abstractly,General,Connections,Model With Mathematics,Elementary School,Vocational/Professional Development Education,Reason Quantitatively,Counting,Reasoning,Analyze and Persevere



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Update Standards?

CCSS.Math.Content.3.MD.B.3: Common Core State Standards for Mathematics

Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs.

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

Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

CCSS.Math.Content.7.SP.C.8a: Common Core State Standards for Mathematics

Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

CCSS.Math.Content.7.SP.C.8b: Common Core State Standards for Mathematics

Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.
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