Data Analysis and Probability <br /> Irina, Meagan, Brea, Sara, Megan<br />“Life is Like a box of chocolates-you never kno...
Ch. 21:  Developing Concepts of Data Analysis<br />
Big Ideas for Chapter 21:  Developing Concepts of Data Analysis<br />The Four Processes of Statistics<br /> <br />I. Formu...
Ch 22: Exploring the Concepts of Probability<br />
Big Ideas<br />I. Introducing Probability<br />a.)  Introduce terms impossible and certain/likely or notlikely in relation...
Standards Pre-K-2<br />Grades Pre-K-2<br />Post questions and gather data about themselves and their surroundings. <br />R...
Overview of our lessons<br />Meagan’s and Brea’s<br />Mini Lesson One<br />Understand a weather calendar. <br />Observe an...
Overview of our lessons<br />Sara P, Megan, Irina’s Lesson<br />Lesson 1<br /><ul><li>Discussion of what data is
Collecting and organizing M&M data
Applying it to mean, median and mode
Discussing the collected data</li></ul>Lesson 2<br /><ul><li>Analyzing data through graphical representations
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Data Analysis And Probability Pp

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Data Analysis And Probability Pp

  1. 1. Data Analysis and Probability <br /> Irina, Meagan, Brea, Sara, Megan<br />“Life is Like a box of chocolates-you never know what you’re gonna get.” -Forrest Gump, 1994<br />
  2. 2. Ch. 21: Developing Concepts of Data Analysis<br />
  3. 3. Big Ideas for Chapter 21: Developing Concepts of Data Analysis<br />The Four Processes of Statistics<br /> <br />I. Formulating Questions<br />a. Students generate own questions based on classroom interests.<br />b. Questions are then generated to consider other variables from previous inquiry.<br /> <br />II. Data Collection<br />a. Find different resources in which to gather data. Examples include newspapers, maps, websites.<br />b. Organize information collected in a way that is easily interpreted.<br /> <br />III. Data Analysis<br />a. Classification—How to categorize/group materials with similar attributes.<br />b. Use various graphical representations, i.e. bar/tally charts, circle graphs, to analyze data.<br />c. Measures of center—numerical way of describing data. Examples include, mean, median or mode.<br /> <br />IV. Interpreting Results<br />a. Questions are focused on the context—What can be learned or inferred from the data?<br />
  4. 4. Ch 22: Exploring the Concepts of Probability<br />
  5. 5. Big Ideas<br />I. Introducing Probability<br />a.) Introduce terms impossible and certain/likely or notlikely in relation to various events.<br />b.) “Chance has no memory.”<br /> <br />II. Two Types of Probability<br />a.) Any specific event where the likelihood of occurrence is known (ex. Dice)<br />Number of outcomes in the event/Number of possible outcomes<br />b.) Specific event where the likeliness of occurrence is not observable (chance of rain)<br />Number of observed occurrences of the event/Total # of trials<br />c.) Experiments are designed for students to understand the different typesofprobability.<br /> <br />III. Sample Spaces and Probability of Two Events.<br />a.) The sample space for a chance event is the set of all possible outcomes.<br />b.) Independent events—‘the occurrence of nonoccurrence of one event has no effect on the other.’<br />c.) Dependent events—‘the second event depends on the result of the first.’<br />
  6. 6. Standards Pre-K-2<br />Grades Pre-K-2<br />Post questions and gather data about themselves and their surroundings. <br />Represent data using concrete objects, pictures, and graphs.<br />Describe parts of the data and the set of data as a whole to determine what the data show.<br />Discuss events related to students’ experiences as likely or unlikely<br />Grades 3-5<br />Understand that the measure of the likelihood of an event can be represented by a number from 0-1. <br />Use measure of center focus on a median and understand what each does and does not indicate about the data set. <br />Collect data using observations, surveys and experiments.<br />
  7. 7. Overview of our lessons<br />Meagan’s and Brea’s<br />Mini Lesson One<br />Understand a weather calendar. <br />Observe and collect weather data<br />Recognize different types of weather<br />Recognize different types of weather patterns<br />Record the weather on the weather calendar<br /> <br />Mini Lesson Two<br />Record and analyze weather data<br />Compare and contrast tally results during one month of weather data<br />Record weather using tally sheet<br />Learn headings and how to sort data<br /> <br />Mini Lesson Three<br />Learn how to take data and turn it into a graph<br />Understand that two types of recording tools look different but represent the same data<br />Will use bar graph to record collected data. <br /> <br />Extensions / Differentiations<br />Compare and contrast weather from different seasons or different months<br />Predict weather changes throughout the year. <br />
  8. 8. Overview of our lessons<br />Sara P, Megan, Irina’s Lesson<br />Lesson 1<br /><ul><li>Discussion of what data is
  9. 9. Collecting and organizing M&M data
  10. 10. Applying it to mean, median and mode
  11. 11. Discussing the collected data</li></ul>Lesson 2<br /><ul><li>Analyzing data through graphical representations
  12. 12. Comparing pie charts and doing a histogram
  13. 13. Probability </li></ul>Lesson 3<br /><ul><li>Using technology to organize data
  14. 14. Working with Google docs
  15. 15. Working with spreadsheets to organize data</li></li></ul><li>What data analysis looks like in primary and intermediate grades<br />Primary: Collecting simple data that they can apply to their lives. Examples, hair color, favorite colors, weather, sea shells, and children. <br />Intermediate: More complex graphical representations. Examples, population, reading graphs, line plots, and stem and leaf plots. <br />
  16. 16. What does Probability look for primary and intermediate grades<br />Primary: spinners, sorting, tally, random selection, and experiments. <br />Intermediate: Projecting, predicting, simulations, and estimation. <br />
  17. 17. The EndQuestions or Comments?<br />
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