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Data Analysis and Probability ,[object Object], Irina, Meagan, Brea, Sara, Megan,[object Object],“Life is Like a box of chocolates-you never know what you’re gonna get.”  -Forrest Gump, 1994,[object Object]
Ch. 21:  Developing Concepts of Data Analysis,[object Object]
Big Ideas for Chapter 21:  Developing Concepts of Data Analysis,[object Object],The Four Processes of Statistics,[object Object], ,[object Object],I. Formulating Questions,[object Object],a.  Students generate own questions based on classroom interests.,[object Object],b.  Questions are then generated to consider other variables from previous    inquiry.,[object Object], ,[object Object],II. Data Collection,[object Object],a.  Find different resources in which to gather data. Examples include newspapers, maps, websites.,[object Object],b.  Organize information collected in a way that is easily interpreted.,[object Object], ,[object Object],III. Data Analysis,[object Object],a.  Classification—How to categorize/group materials with similar attributes.,[object Object],b.  Use various graphical representations, i.e. bar/tally charts, circle graphs,    to analyze data.,[object Object],c.  Measures of center—numerical way of describing data.  Examples include, mean, median or mode.,[object Object], ,[object Object],IV. Interpreting Results,[object Object],a.  Questions are focused on the context—What can be learned or inferred from the data?,[object Object]
Ch 22: Exploring the Concepts of Probability,[object Object]
Big Ideas,[object Object],I. Introducing Probability,[object Object],a.)  Introduce terms impossible and certain/likely or notlikely in relation to various events.,[object Object],b.)  “Chance has no memory.”,[object Object], ,[object Object],II. Two Types of Probability,[object Object],a.)  Any specific event where the likelihood of occurrence is known (ex. Dice),[object Object],Number of outcomes in the event/Number of possible outcomes,[object Object],b.) Specific event where the likeliness of occurrence is not observable (chance of rain),[object Object],Number of observed occurrences of the event/Total # of trials,[object Object],c.)  Experiments are designed for students to understand the different typesofprobability.,[object Object], ,[object Object],III.  Sample Spaces and Probability of Two Events.,[object Object],a.) The sample space for a chance event is the set of all possible outcomes.,[object Object],b.)  Independent events—‘the occurrence of nonoccurrence of one event has no effect on the other.’,[object Object],c.)  Dependent events—‘the second event depends on the result of the first.’,[object Object]
Standards Pre-K-2,[object Object],Grades Pre-K-2,[object Object],Post questions and gather data about themselves and their surroundings. ,[object Object],Represent data using concrete objects, pictures, and graphs.,[object Object],Describe parts of the data and the set of data as a whole to determine what the data show.,[object Object],Discuss events related to students’ experiences as likely or unlikely,[object Object],Grades 3-5,[object Object],Understand that the measure of the likelihood of an event can be represented by a number from 0-1. ,[object Object],Use measure of center focus on a median and understand what each does and does not indicate about the data set. ,[object Object],Collect data using observations, surveys and experiments.,[object Object]
Overview of our lessons,[object Object],Meagan’s and Brea’s,[object Object],Mini Lesson One,[object Object],Understand a weather calendar. ,[object Object],Observe and collect weather data,[object Object],Recognize different types of weather,[object Object],Recognize different types of weather patterns,[object Object],Record the weather on the weather calendar,[object Object], ,[object Object],Mini Lesson Two,[object Object],Record and analyze weather data,[object Object],Compare and contrast tally results during one month of weather data,[object Object],Record weather using tally sheet,[object Object],Learn headings and how to sort data,[object Object], ,[object Object],Mini Lesson Three,[object Object],Learn how to take data and turn it into a graph,[object Object],Understand that two types of recording tools look different but represent the same data,[object Object],Will use bar graph to record collected data. ,[object Object], ,[object Object],Extensions / Differentiations,[object Object],Compare and contrast weather from different seasons or different months,[object Object],Predict weather changes throughout the year.   ,[object Object]
Overview of our lessons,[object Object],Sara P, Megan, Irina’s Lesson,[object Object],Lesson 1,[object Object],[object Object]
Collecting and organizing M&M data
Applying it to mean, median and mode
Discussing the collected dataLesson 2,[object Object],[object Object]

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