Kim's+Lesson+Plan

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**LESSON PLAN 2** **“That’s My Team!”** **A Collaborative Data Analysis Problem-Based Learning**


 * Grade Level: 6th Grade Math **

 **Description**: The Jose Valdes Math Institute Summer program will be attending an Oakland A’s baseball game on June 21st. In preparing for and continuing after the fieldtrip and in line with the math content taught in the program, students will connect their learning with another class from the Math Institute program being held concurrently on another campus across town through a series of friendly fantasy baseball competitions.  **Objective**: Students will use their knowledge of fractions, ratios, proportions, and percentages to compute, estimate, and track data of the baseball players’ performance on their teams by playing Fantasy Baseball.

**1.0** Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages  **2.0** Students calculate and solve problems involving addition, subtraction, multiplication, and division  **2.0** Students analyze and use tables, graphs, and rules to solve problems involving rates and proportions  **1.0** Students compute and analyze statistical measurements for data sets
 * California Content Standard: **
 *  Number Sense **
 *  Algebra and Functions **
 * Statistics, Data Analysis, and Probability **

- Communication and collaboration  - Research and information fluency <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;"> - Critical thinking, problem solving, and decision making <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;"> - Technology operations and concepts- Digital Citizenship
 * <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">ISTE NETS-S **

<span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;"> - This activity is implemented after students received instruction on the targeted math skills. <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;"> - Teachers have already scheduled and setup Skype times and wiki sites.
 * <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;"> Before-Class Preparation **

<span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">(90 minutes first day, 30 minutes second, third, and fourth days, 90 minutes final day)
 * <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;"> Instructional Activities **
 * 1) <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">Students are divided into groups of 3 or 4 in both classes. Each group will select a Major League Baseball team for their name. One class is the National League; the other will be the American League. They will be briefed with how Fantasy Baseball works, the math used to calculate Earned Run Average, Win/Loss Average, Batting Average, and Slugging Percentage.
 * 2) <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">Each team will design a Wiki team page to record their data and win/loss record.
 * 3) <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">A “Draft Day” Skype conference is scheduled where “teams” from both classes take turn picking 8 position players. The pitchers will be the ones starting for their team’s namesake for four consecutive games.
 * 4) <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">Each day, teams will check the internet and calculate statistics for each of their players. They will compile the data to come up with team performance, graph the results, and record the data on their wiki site for each team member as well as the entire team.
 * 5) <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">After their data is recorded, teams from one class will be pitted against the teams from the other class to compare data using Skype, Facetime, or a common Wiki page. Each category win will be given 1 point. The team with the most point wins the game. This step is repeated for 4 days.
 * 6) <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">On the final day, a general “Skype” conference in which the team with the best record from each “league” to go head-to-head in a “World Series” finale. Teams will calculate all data for each player for the duration of the 4 games. They write the numbers on paper and reveal each position statistics when called. The team with the most points wins the “World Series” and will be awarded with a “Math Cup.”

<span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">To make sure all students have sufficient background knowledge for the activity:- A mini-fantasy baseball game will be conducted in each class before the actual game. <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">-Further instructions will be given when needed when the teacher circulates around the room and sit down with each group while they are doing calculations. <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">-Although this is a group project, each member will be given 2 or 3 players to track data, calculate percentages, and graph results.
 * <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">Customization for Diverse Learners **

<span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">Students’ knowledge of fractions, proportions, and percentages will be accessed continuously to see if the results are reasonable. Group work will also be observed during lab time to make sure students understand what is required. The data table and corresponding graphs will show if students have a grasp of data analysis.
 * <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">Ongoing Assessment **

<span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">A Facetime conference will be used if there’s a problem with setting up Skype. <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">With this lesson, not only math content is enforced, students can also see the benefits of using online collaboration and social networking to communicate, discuss, and record data. __**LESSON PLAN 1**__ **<span style="font-family: Verdana,Geneva,sans-serif;">What’s wrong with the Oakland A’s? ** **<span style="font-family: Verdana,Geneva,sans-serif;">A Data Analysis Problem-Based Learning **
 * <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">Backup Plan **
 * <span style="color: #0d3b77; font-family: Verdana,Geneva,sans-serif;">Lesson Reflections and Notes **
 * <span style="font-family: Verdana,Geneva,sans-serif;">Grade Level: 6th Grade Math **

<span style="font-family: Verdana,Geneva,sans-serif;">**Description** <span style="font-family: Verdana,Geneva,sans-serif;">The Jose Valdes Math Institute Summer Program students will attend the Oakland A’s baseball game at a time when the A’s is one of the worst teams in baseball. In preparation for the fieldtrip and in line with the math content taught in the program, students will make a connection between the players’ statistics and team performance. They will attempt to give reasons for the team’s record backed by data analysis.

<span style="font-family: Verdana,Geneva,sans-serif;">**Objective** <span style="font-family: Verdana,Geneva,sans-serif;">Students will use their knowledge of fractions, ratios, proportions, and percentages to compare the statistics of 2 baseball teams. They will use the data to generate and analyze tables and graphs to come up with an answer to the question, “What’s wrong with the Oakland A’s?”

<span style="font-family: Verdana,Geneva,sans-serif;">**Number Sense** <span style="font-family: Verdana,Geneva,sans-serif;">**1.0** Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages <span style="font-family: Verdana,Geneva,sans-serif;">**2.0** Students calculate and solve problems involving addition, subtraction, multiplication, and division <span style="font-family: Verdana,Geneva,sans-serif;">**2.0** Students analyze and use tables, graphs, and rules to solve problems involving rates and proportions <span style="font-family: Verdana,Geneva,sans-serif;">**1.0** Students compute and analyze statistical measurements for data sets
 * <span style="font-family: Verdana,Geneva,sans-serif;">California Content Standard **
 * <span style="font-family: Verdana,Geneva,sans-serif;">Algebra and Functions **
 * <span style="font-family: Verdana,Geneva,sans-serif;">Statistics, Data Analysis, and Probability **

<span style="font-family: Verdana,Geneva,sans-serif;">- Communication and collaboration <span style="font-family: Verdana,Geneva,sans-serif;">- Research and information fluency <span style="font-family: Verdana,Geneva,sans-serif;">- Critical thinking, problem solving, and decision making <span style="font-family: Verdana,Geneva,sans-serif;">- Technology operations and concepts
 * <span style="font-family: Verdana,Geneva,sans-serif;">ISTE NETS-S **

<span style="font-family: Verdana,Geneva,sans-serif;">This activity is implement after the lessons on dividing fractions and working with percentages.
 * <span style="font-family: Verdana,Geneva,sans-serif;">Action **

(3 hour-morning period: 90 minute instruction, 90 minute lab time) > **Materials**: Computer, projector > **Materials**: Computer lab, internet > **Materials**: Computer lab, Excel spreadsheet, printer
 * <span style="font-family: Verdana,Geneva,sans-serif;">Instructional Activities **
 * 1) <span style="font-family: Verdana,Geneva,sans-serif;">Show a video montage of A’s players and newspaper headlines displaying their ineptitude on the field, their losing streak, and the team’s current record.
 * 1) <span style="font-family: Verdana,Geneva,sans-serif;">Discussion on the relationship between players' statistics and team performance.
 * 2) <span style="font-family: Verdana,Geneva,sans-serif;">Students learn how to calculate a pitcher’s Earned Run Average and Win/Loss Average.Students learn how to calculate a batter’s Batting Average and Slugging Percentage.
 * 3) <span style="font-family: Verdana,Geneva,sans-serif;">Groups of students will be working together to compare the A’s team Batting Average, Slugging Percentage, ERA, and Win/Loss Average with an assigned division leader baseball team for the last 10 games. They will use internet sites like [|www.espn.com] to find out the team batting average of the starters for each game and the pitchers that pitched during those particular games.
 * 1) <span style="font-family: Verdana,Geneva,sans-serif;">Students will use Excel to enter the data and generate tables and graphs that show the relationship between ERA, Win/Loss Average, Slugging Percentage, and Batting Average.

<span style="font-family: Verdana,Geneva,sans-serif;">To make sure all students have sufficient background knowledge for the activity: <span style="font-family: Verdana,Geneva,sans-serif;">- An explanation of the game of baseball will be given with snipets of an actual Oakland A's game. <span style="font-family: Verdana,Geneva,sans-serif;">- Explanation of baseball terms related to the lesson. <span style="font-family: Verdana,Geneva,sans-serif;">- Look at box scores in the Sports section of newspapers. <span style="font-family: Verdana,Geneva,sans-serif;">- Play a Wiffle ball game on the playground.
 * <span style="font-family: Verdana,Geneva,sans-serif;">Customization for Diverse Learners **

<span style="font-family: Verdana,Geneva,sans-serif;">Students’ knowledge of fractions, proportions, and percentages will be accessed continuously to see if the results are reasonable. Group work will also be observed during lab time to make sure students understand what is required. The data table and corresponding graphs will show if students have a grasp of data analysis.
 * <span style="font-family: Verdana,Geneva,sans-serif;">Ongoing Assessment **

<span style="font-family: Verdana,Geneva,sans-serif;">Students can use calculators to generate data and use it to make line graphs.
 * <span style="font-family: Verdana,Geneva,sans-serif;">Backup Plan **

<span style="font-family: Verdana,Geneva,sans-serif;">With this lesson, hopefully, the students will have a heightened sense of numbers behind every at bat and pitch when they watch a baseball game.
 * <span style="font-family: Verdana,Geneva,sans-serif;">Lesson Reflections and Notes **