LESSON PLAN FOR NHL HOCKEY STATS GRADE 6 (Jonathan Ball) Curriculum Expectations Overall: Number Sense: - multiplication and division of whole numbers Data Management: - collect and organize … secondary data and display the data using charts and graphs - read, describe, and interpret data and explain relationships between sets of data; Grade 6 Specific: – read, interpret, and draw conclusions from secondary data (e.g., sports data in the newspaper, data from the Internet about movies), presented in charts, tables, and graphs – demonstrate an understanding of mean – demonstrate, through investigation, an understanding of how data from charts, tables, and graphs can be used to make inferences and convincing arguments Task/Problem To determine whether a given hockey player is above or below average in a given attribute, and to display the results on a class bar graph. Before: Minds on/Activate Prior Knowledge 1) Review “Hockey Superstars”, NHL player statistics (nhl.com/ice/playerstats.htm) and the terms: “Stats” (statistics) Top 30 PPG (points per game) 2) Discuss: How do we know if a hockey player is performing well? (The answer I’m looking for: We can compare to the mean). 3) Give each pair a preselected NHL player’s name and, using the NHL page, have them estimate if he is above or below the Top-30 mean. During: Hands on Questions: What do we know about the mean (“The mean is a balance between high and low. A middle ground”) What are we being asked (“To rate a player’s value”) How can we solve (“Compare player stats to a mean”) Learning Goal Using sports data from the internet, I will be able to calculate the mean and display and interpret the significance of the results in a bar graph. Student Success Criteria - I know how to divide the sum of a set by the number of numbers in that set to calculate the mean. - I know that the mean is a value that balances a set of data. - I can compare a players’ stats to the mean to determine how well that player is performing this season. - Using a bar graph I can compare my player with other players - I can show my work in a bar graph. Strategies - Find the Top-30 Points mean and evaluate player - Use multiple attributes to get a better overall sense of the player (level 4) Tools Calculator Partner work: 1) Create graph axis (player vs. points). Cut out a blue bar and glue it on to display a pre-selected player’s score. 1pt=5cm. 2) Determine top-30 mean (one student reads and records, the other calculates) 3) Display mean bar next to player bar using red. After: Consolidation/Congress Computer (online) Paper/Pencil Scissors Glue Construction paper (red/blue). Misconceptions Ask pairs to compare their player’s points to other players and post graphs in descending order. Congress Questions Debate the reliability of these graphs, the advantages and disadvantages. Would an NHL scout base a million dollar trade on this information? - Computational error calculating mean Does not know mean algorithm Does not understand concept of mean Assessment Tyler Seguin (Dallas, C) has 73 points and played 68 games. Evegi Malkin (Pittsburgh, C) has 72 points and played 60 games. Who is having a better season? 73/68= 1.07 points per game 72/60= 1.2 points per game - Student work (mean calculation and graph) Observational Discussion participation Next lesson: All –Star line up A hockey line is made up of 6 players: C, LW, RW, D, D, G. 1) Hand out random top -30 players (5 for each position). Have student determine mean for that position and use a bar graph to compare player to mean (use “Goals Against Average” for goalies). 2) Post results. Whole class: put together an All-Star line. Question: Can we compare the All-Star mean to the Top-30 mean? Hockey Superstars (Romanuk 2011; Scholastic) and NHL.com (www.nhl.com/ice/statshome.htm) Curriculum Expectations Overall: Number Sense: - solve problems involving the multiplication and division of whole numbers Data Management: - collect and organize discrete or continuous primary data and secondary data and display the data using charts and graphs, including continuous line graphs; - read, describe, and interpret data, and explain relationships between sets of data; Grade 6 Specific: – read, interpret, and draw conclusions from secondary data (e.g., sports data in the newspaper, data from the Internet about movies), presented in charts, tables, and graphs – demonstrate an understanding of mean – demonstrate, through investigation, an understanding of how data from charts, tables, and graphs can be used to make inferences and convincing arguments Concept Using sports data from the internet, I will be able to calculate the mean and interpret the significance of the results in a bar graph. Using current sports data* to teach literacy is an effective way to attract reluctant readers to non-fiction text (Ontario Curriculum Reading 1.1), and for young hockey fans the information they glean from this text serves an immediate purpose (Reading 1.2). Hockey Superstars offers a one-page summary of an NHL player, accompanied by some pertinent season-statistics: Games Played, Goals, Assists, Points, and Penalty Minutes. On the surface, one would not consider this a “math story”. There are, however, some rich math connections to be explored: namely, data management. In order to provide students with a broader set of data, I found it helpful to make use of NHL’s excellent player statistics website which can be manipulated like a spreadsheet to rank according to various attributes (e.g. Left Wing Players ranked by Power Play Points). Ideally, one would make use of a set of tablets or laptops to teach this lesson. The essential question here is “How can one determine the value of an NHL player?” One might find it useful to have the students imagine themselves as team scouts looking for prospective players. How might they go about comparing a given player to a) another given player and b) to a set of “Top 30” players in the league? *NB- I only had access to the “2009-2010 Hockey Superstars” at my school Ideally I would have selected the current one. Introduce the Book I would introduce this book with a Picture Walk, starting with the front cover to get some immediate interest. I would activate prior knowledge by asking for students who might have had experiences watching a hockey game, playing it at recess, or playing it after school on a team. After gently guiding the students towards some of the terms that will appear later in the lesson (e.g. rank, points, assists, etc.). I would choose one page for a read-aloud and discuss terminology. After reading this page, I would open NHL stats page (preferably on an IWB) and have students interact with the statistics (whole class). We might discuss trends that appear (e.g. “I see there are no Goalies on this list”, “I see that players played way fewer games in the 2012-2013 season; that must be because of the lockout!”). Linking Literacy to Numeracy Please see attached lesson plan.