Data Analysis and Probability

Irina, Meagan, Brea, Sara, Megan

“Life is Like a box of chocolates-you never know what you’re gonna get.” -

Forrest Gump, 1994

Ch. 21: Developing Concepts of Data Analysis

Big Ideas for Chapter 21: Developing Concepts of Data Analysis

The Four Processes of Statistics I. Formulating Questionsa. Students generate own questions based on classroom interests.b. Questions are then generated to consider other variables from previous inquiry. II. Data Collectiona. Find different resources in which to gather data. Examples include newspapers, maps, websites.b. Organize information collected in a way that is easily interpreted. III. Data Analysisa. Classification—How to categorize/group materials with similar attributes.b. Use various graphical representations, i.e. bar/tally charts, circle graphs, to analyze data.c. Measures of center—numerical way of describing data. Examples include, mean, median or mode. IV. Interpreting Resultsa. Questions are focused on the context—What can be learned or inferred from the data?

Ch 22: Exploring the Concepts of Probability

Big Ideas

I. Introducing Probabilitya.) Introduce terms impossible and certain/likely or not likely in relation to various

events.b.) “Chance has no memory.”  II. Two Types of Probabilitya.) Any specific event where the likelihood of occurrence is known (ex. Dice)Number of outcomes in the event/Number of possible outcomesb.) Specific event where the likeliness of occurrence is not observable (chance of

rain)Number of observed occurrences of the event/Total # of trialsc.) Experiments are designed for students to understand the different typesof

probability.  III. Sample Spaces and Probability of Two Events.a.) The sample space for a chance event is the set of all possible outcomes.b.) Independent events—‘the occurrence of nonoccurrence of one event has no

effect on the other.’c.) Dependent events—‘the second event depends on the result of the first.’

Standards Pre-K-2

Grades Pre-K-2 Post questions and gather data about themselves and their

surroundings. Represent data using concrete objects, pictures, and graphs. Describe parts of the data and the set of data as a whole to

determine what the data show. Discuss events related to students’ experiences as likely or

unlikely

Grades 3-5 Understand that the measure of the likelihood of an event can be

represented by a number from 0-1. Use measure of center focus on a median and understand what

each does and does not indicate about the data set. Collect data using observations, surveys and experiments.

Overview of our lessons

Meagan’s and Brea’sMini Lesson One Understand a weather calendar. Observe and collect weather data Recognize different types of weather Recognize different types of weather patterns Record the weather on the weather calendar Mini Lesson Two Record and analyze weather data Compare and contrast tally results during one month of weather data Record weather using tally sheet Learn headings and how to sort data  Mini Lesson Three Learn how to take data and turn it into a graph Understand that two types of recording tools look different but represent the same data Will use bar graph to record collected data.  Extensions / Differentiations Compare and contrast weather from different seasons or different months Predict weather changes throughout the year.

Overview of our lessons

Sara P, Megan, Irina’s Lesson

Lesson 1 Discussion of what data is Collecting and organizing M&M data Applying it to mean, median and mode Discussing the collected dataLesson 2 Analyzing data through graphical representations Comparing pie charts and doing a histogram Probability Lesson 3 Using technology to organize data Working with Google docs Working with spreadsheets to organize data

What data analysis looks like in primary and intermediate grades

Primary: Collecting simple data that they can apply to their lives. Examples, hair color, favorite colors, weather, sea shells, and children.

Intermediate: More complex graphical representations. Examples, population, reading graphs, line plots, and stem and leaf plots.

What does Probability look for primary and intermediate grades

Primary: spinners, sorting, tally, random selection, and experiments.

Intermediate: Projecting, predicting, simulations, and estimation.

The End

Questions or Comments?