S1+Hart,+Nicholas

=Stage 1 Identify Desired Results= Probability Grade 9 - Diploma 5. Students understand the relationship of probability to relative frequency and know how to find the probability of compound events. b. Find expected value of events ||
 * **Establish Goals:** **(G)** ||
 * //Maine Learning Result//: Mathematics - B. Data

//What understandings are desired?//
• Pictures and graphs can represent data. • Fractions are used to find probabilities. ||
 * //Students will understand that:// **(U)** ||
 * • Not all elements in a data set are equally likely.

//What essential questions will be considered?//
• Why are some pictures/graphs better for an overview of data opposed to other pictures/graphs? • Where can one apply the concepts of probability? ||
 * **Essential Questions:** **(Q)** ||
 * • Why are probabilities between 0 and 1?

//What key knowledge and skills will students acquire as a result of this unit?//
• Critical Design: box plots, frequency tables, bar and line graphs, pie charts. • Formulas: Probability (Events you want/Total events), Quartiles (numerical list), Expected value || • Show how to find and use probabilities. • Make meaning of a visual (of data) to estimate probabilities. • b. Solve for the expected value of a data set. • Infer the likelihood of different events happening based on their probability. • Relate concepts of probability to the real world. • Recognize probability gives ideas not facts on data sets. ||
 * //Students will know:// **(K)** || //Students will be able to do:// **(S)** ||
 * •Terminology: event, set, odds, probability, expected value, mean, element, combinations, compound, relative frequency, statistic.
 * 2004 ASCD and Grant Wiggins and Jay McTighe**