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AUGUSTA COUNTY SCHOOLS CURRICULUM MAP Submitted By RES CONTENT: 5.16 a) b) c) d) TOPIC: The student will describe mean, median, and mode as measures of center; describe mean as fair share; find the mean, median, mode, and range of a set of data; and describe the range of a set of data as a measure of variation. Probability and Statistics CONTENT What do your students need to KNOW? All students will know: Understand that mean, median, and MATH mode are described as measures of center. Understand that mean, median, and mode are three of the various ways that data can be described or summarized. Understand that mean as fair share is described as equally dividing the data set or the data set has already been divided equally. Understand how to find the mean, median, and mode of a set of data as measures of center. Understand values in the context of other characteristics of the data in order to best describe the results. DEMONSTRATORS What do your students need to be able to DO? ASSESSMENT How will you assess what your students ALREADY KNOW, and assess WHAT THEY’VE LEARNED? ACTIVITIES HOW will you teach it? Students will: Describe and find the mean, median, and mode of a group of numbers representing data from a given context as a measure of center. Describe mean as fair share. Describe and find the range of a group of numbers representing data from a given context as a measure of variation. Describe the impact on measures of center when a single value of a data set is added, removed, or changed. Pre- test using a data set problem. Have students’ document understanding. Post- test using the same data set to check for understanding after your lessons. Create a school grade sheet for each student in your class and have them find the mean, median, mode and range of the data set. After practicing with these fictitious numbers give each student their own scores for the six weeks. Then allow students to calculate their grade average using the mean. Have a conversation about the use of median, mode and range to calculate student scores, what if we used one of these methods instead to calculate students grade average each six-weeks. DIFFERENTIATION How will you meet the needs of all students? RESOURCES TEACHER NOTES: Provide students data sets in the form of bar graphs, stem and leaf plots and pie charts. Then allow students to work in partner groups to interpret the data, and then they will order the data. Using the information they will calculate Mean, Median, Mode and Range for this data without the use of a calculator. Then check the work with a calculator. VIDEO’s: http://www.youtube.com/watch?v=1jVZi0cNHls http://www.youtube.com/watch?v=Pz7th8A8Fgo Online Resources: http://star.spsk12.net/math/math_05.htm Go to: Game Galore Activities on the internet. Quia games: Rags to Riches http://www.quia.com/rr/51667.html VDOE: http://www.doe.virginia.gov/testing/sol/scope_s equence/mathematics_2009/results.php The most important things to understand are the definitions of each mean, median, mode and range. A good note is to make vocabulary cards students can carry with them to practice these math definitions.