Sandra Smith Spring 2008 Lesson Title Leveling concept of Mean Grade Level 5th grade Background Van de Walle ch 22 Concepts of Data Analysis activities figures p 464 467 Related Standards 1 The student understands and applies the concepts and procedures of mathematics 1 4 Understand and apply concepts and procedures from probability and statistics 1 4 4 Understand and use the mean median and mode to describe a set of data EX Determine the mean of a given set of data using objects or pictures Objective Given a brief advance organizer a partner activity using manipulative to answer averaging questions a group activity finding the mean length of students feet and a class discussion students will be able to determine the mean of a given set of data using objects or pictures Materials Unifix cubes or similar manipulative Math journals Room Arrangement Small groups my standard arrangement Procedures Time Phase 1 5 minutes Hello class In science yesterday some questions came up about what average means and we talked about it for a little while and then you all wrote about what you already know about how people use averages to describe data The key thing about finding an average for a set of numbers is that you re looking for the center of the data In third and fourth grades you all learned something about mode and median Let s start with simple definitions for these two types of averages mode and median Mode is the number that appears most often median is the center of the data plotted on a number line Mean is a different kind of average The mean is a way of leveling the numbers in your set You ll be using unifix cubes to help you figure out the mean of particular sets of data and then we ll find the Mean foot of our classroom We ll have a short class discussion and then you ll do some writing in your math journals Phase 2 5 minutes You have the choice of working independently or with a partner today as long as you can show me that you re thinking and learning about averages If you decide to work with a partner each of you needs to turn in your own work Each person or pair will need about 50 or so connectable blocks and each person will need one sheet of questions You ll be doing a few different things today use the blocks to represent the and find answers to three story problems and then measure your foot on a roll of paper and working with your group then the class to find a mean foot After we find our mean foot we ll have a short class discussion and then you will have about 5 minutes to solve a calculation problem and respond to some metacognitive questions in your journals The main points of the agenda will also be written on the board tell me the first thing you re going to do once you have your materials Great tell me what you ll do after you finish solving your story problems All right What will we do after finding our mean foot Right we ll have a short class discussion And what s our last math activity today Phase 3 15 minutes Students will work independently or with partners to find the mean of three different sets of data in the form of story problems When a student has completed the story problems he or she will measure his or her foot using a roll of paper I will tape the strips of paper end to end each small group will determine its mean foot and then the whole group will determine its mean foot Phase 4 10 minutes A brief class discussion will give students the opportunity to voice what they have learned clarify anything they do not understand and will solidify the concept of mean that students have been exploring Phase 5 Reflection Postassessment Writing in math journals 5 minutes Calculation question for math journals Gwendolyn picked out three different items for her three triplet sisters for their birthday She got Violet a toy spaceship for 12 Victoria a toy boat for 10 and Vivian a train for 14 What is the mean price she paid for these presents Thinking questions for math journals Are the mean and median the same in this problem Are they always the same Why or why not Assessment Evaluation Tasks Assessment and Evaluation pre previous day s writing about mode and median formative story problem worksheets summative journal calculation and thinking question writing Evidence Task for Positive Impact on Student Learning The evidence could be a comparison between the students pre assessments and summative assessments You should make that comparison as the teacher but also need to begin to ask students to reflect on what and how they learned those meta cognitive questions by teaching self evaluation tools and routines Emerging 1 4 4 Understand and use the mean median and mode to describe a set of data EX Determine the mean of a given set of data using objects or pictures 1 4 4 Understand and use the mean median and mode to describe a set of data EX Explain why the mean median or mode may be greater than or less than the other measures for a given set of data Developing Proficient Skilled Name Date Leveling to Find the Mean 1 Find the mean of the prices of these used Playstation games Final Fantasy X 7 Hot Shots Golf 8 Guitar Hero 15 South Park Rally 9 Kingdom Hearts 9 Ridge Racer 8 2 Marlen mowed her neighbors lawns to earn money during Summer vacation She worked for six weeks and mowed a different number of lawns each week In the first week she mowed 4 lawns the next week she mowed only 2 lawns By the third week Marlen had talked with almost all of her neighbors and she had 5 lawns to mow The following week was cloudy and rainy and Marlen mowed only 1 lawn Business picked up again when the weather cleared and Marlen trimmed 5 lawns in week five and 7 in week six What is the mean number of lawns Marlen mowed each week Explain your reasoning with words or pictures
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