Educational Technology Lesson Plan Statistics & Probability Contact Information: Lori Kenward nosmech@aol.com Title: Statistics& Probability: Display numerical data in plots on a number line; including dot plots, histograms, and box plots Primary Subject Area and Grade Level: Math (statistics & probability) sixth grade Overview: Students will understand how to organize numerical data. The lesson will introduce dot plots, histograms, and box plots in order to display their findings on a graph. Students will explore using and creating their own graphs. They will be able to read and understand these graphs in order to answer questions pertaining to the lesson. This is in relation to MACC.6.SP.4 from the Florida Educational Technology Content Standards/common core state standards. Approximate Duration: One hour class period Class Format: This lesson will be a blended/hybrid lesson. Lesson will be taught integrating online technology along with the teacher having face to face contact in class with students. Common Core Educational Technology Standards Addressed: MACC.6.SP.2.4: Display numerical data in plots on a number line, including dot plots, histograms, and boxplots. Interdisciplinary Connections: Language Arts, Computer Technology, and Art Prior Knowledge: Students must know addition, how to organize numbers in numerical order, and how to find the median. They must be able to read a number line. Students should know from previous lesson how to use tally marks to make a frequency distribution table. Outcomes/Objectives: Students will understand how to organize numerical data and graph it on a number line. Students will know how to create dot plots, histograms, and box plots. When given a unit test on probability & statistics, students will pass on the areas of plotting, reading, understanding, and creating dot plots, histograms, and box plots. Technologies and Other Materials /Resources: Student notebook, pencil, markers, student Ipads, LMS class shell, teacher computer, white board, and Smart board. Access to internet ..\..\My Documents\Bell Work.docx Create a Dot Plot.docx http://learnzillion.com/lessons/2842-create-a-dot-plot How Do You Make a Histogram.docx http://www.virtualnerd.com/common-core/grade-6/6_SP-statistics-probability/B/4/practice-histogram http://web.archive.org/web/20071020045219/http:/regentsprep.org/Regents/math/data/boxwhisk.htm http://www.ixl.com/math/grade-6/create-line-plots http://www.ixl.com/math/grade-6/create-histograms http://www.ixl.com/math/grade-6/interpret-box-and-whisker-plots http://illuminations.nctm.org/LessonDetail.aspx?id=L449 http://illuminations.nctm.org/ActivityDetail.aspx?ID=160 http://www.corestandards.org/Math/Content/6/SP Meaningful Tech Integration.docx Activities/Tasks (Lesson Procedure): Lesson Procedure: Time Teacher is doing: *Preparation: please display the following “bell work” on the smart board from the computer on my desk: ..\..\My Documents\Bell Work.docx 5 minutes *Teacher welcomes students to class and ensures they take their seats quickly & quietly. Students will be directed to look at the smart board and start their “Bell Work” (busy work) at their own desk. 35 min *Introduce the lesson: *ice breaker: Teacher says“I’m sure you didn’t realize when you got dressed for school this morning that it would be part of your math lesson today.” *Content of lesson: “Our lesson today discusses how we can display data that we have observed graphically by using dot plots, histograms, and box plots. A dot plot is a graph that uses a dot to represent each piece of data or observation we have recorded using a number line. This graph can include fractions and decimals. Please watch the following lesson called "create a dot plot". Follow along and fill in the blanks on your worksheet.” -Please pass out the following worksheet: Create a Dot Plot.docx Play the following link on your computer: http://learnzillion.com/lessons/2842-create-adot-plot After the lesson has played, walk around the class and make sure the students had enough time to fill in their dot plots. “A histogram is another way to display data on a graph. Classes (intervals) are marked on the horizontal axis and the frequency (observations) are marked on the vertical axis. These frequencies are represented by heights of bars drawn. The following presentation will help you further understand. Please follow along with your worksheet and fill in the needed blanks.” Pass out the following worksheet: How Do You Make a Histogram.docx Play the following link: http://www.virtualnerd.com/commoncore/grade-6/6_SP-statisticsprobability/B/4/practice-histogram Student is doing: Students will complete the bell work from the board in their Math notebooks. Students will have their attention towards you. Students will watch the video “create a Dot Plot”on the smart board. Students will fill in the blanks on their worksheets while sitting at their desks. Students may check with each other to make sure they have Completed their work sheets correctly. Students eyes will be on you and then the smartboard to Watch the lesson on histograms. Students will follow along Filling in their worksheets. Walk around and make sure students are labeling their papers and putting in the required information. You may have student/students go the white board and draw the histogram. 15 minutes 5 minutes Teacher says “The last plot we are going to discuss today is box plots. These display data horizontally or vertically on a number line. Box plots are a little more complex including the minimum, maximum, median, & two quartile values.” “For this lesson we will use our Ipads. Please turn on your Ipads & quickly press on the link to understand box plots.” “We are going to read this together.” Open the following link to display on the smart board: http://web.archive.org/web/20071020045219/ht tp:/regentsprep.org/Regents/math/data/boxwhi sk.htm Have students take turns reading this lesson aloud to involve more student interaction. Reassure the students that we will work more on Box and whisker plots tomorrow. Now as time permits: Students will be able to play the following games on their Ipads to better understand the material. Students can work together or independently. http://www.ixl.com/math/grade-6/create-lineplots http://www.ixl.com/math/grade-6/createhistograms http://www.ixl.com/math/grade-6/interpret-boxand-whisker-plots Walk around assuring students are playing these games and answer any questions. After minutes of play, have students log out of the games and put Ipads away. Summarize: Teacher says “Today you have learned how to organize numerical data on a number line using dot plots, histograms, and box plots.” “Do you remember your bell work asking about what we wore to school today? I want you to take this information and create one of the new graphs we learned about to represent our observations. If time permits, you can start now or finish up for homework. This is due tomorrow. You can work together at home from our LMS class shell discussion board. I will be checking our site and see who is participating. Be creative. If you choose to do on paper, add color to your graphs.” Higher Level Thinking Skills: Does your number line need to start with your minimum and end with the maximum/ What is another way dot plots can be displayed? What is an outlier? Students may ask teacher to go up to the whiteboard directly next to the smart board and draw the histogram. Students will now have access to their Ipads. When told, they Will turn on their Ipads and open to the desired link. Students Will follow and read aloud with the teacher. Students will enjoy game based learning on their Ipads by accessing the links to games on line plots, histograms, and box plots. Students are closing all programs and puting their Ipads away. Students are watching you and engaging in this discussion. Students can collaborate with other students in class and at Home on our class shell to finish homework due tomorrow. Relevance/Rationale: Statistics can be very overwhelming, containing so many numbers. Hundreds of surveys are taken each year. Graphs can better help us understand the content that the numbers are pertaining to. Graphs are in magazines, newspapers, and almost everywhere in the real world. Graphing is one of the best ways to summarize and organize material. Being able to read & create graphs will enhance anyone’s future. Assessment Criteria for Success: Content knowledge, student knowledge, and appropriate resources aligned to instructional outcomes. I will be walking around the classroom observing student participation & understanding. I will be open to questions and show students how to succeed. An indication of student success: students engaging in the activities, filling in their worksheets, and doing well on their online games. Teacher success: explaining all content and seeing understanding in students. Criteria met: 2 worksheets filled in, creating a dot plot, histogram & box plot, and creating their own with earlier observations in class. Summative assessments: good scores on online games, homework completed correctly, and a unit test on probability & statistics will be given in the future after all material is taught. Explorations and Extensions: 1. EXPLORATION: There are many online tools to better expand this lesson. Students can create their own histogram at: http://illuminations.nctm.org/LessonDetail.aspx?id=L449 using their own sets of data. http://illuminations.nctm.org/ActivityDetail.aspx?ID=160 is another online tool to better understand box plots. A great activity to follow along with this lesson: Students take a survey at school and make a graph to represent the results. Early finishers will help fellow classmates, play online math games, or make graphs on the white board. 2. EXTENSIONS: I would take the time to re-teach the material face to face with students who were not successful with learning the material. In order to assure they gain it, I would have him or her teach the material back to me. Modifications/Accommodations and Access for All: Students with vision problems would sit up close to the smart board. Students who are unable to use an Ipad would work with the teacher on the smart board. Students may stay after school to use class Ipads if computers are unavailable at home. ESOL/ESE students would have an assistant to help in any difficult areas. Meaningful technology Integration Explanation: Meaningful Tech Integration.docx