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AUGUSTA COUNTY SCHOOLS CURRICULUM MAP MATH Submitted By CLES CONTENT: 5.15 The student, given a problem situation, will collect, organize, and interpret data in a variety of forms, using stem-and-leaf plots and line graphs. TOPIC: Probability and Statistics CONTENT What do your students need to KNOW? DEMONSTRATORS What do your students need to be able to DO? All students will know: Understand how to interpret collected and organized data. Understand that stem-and-leaf plots list data in a meaningful array. It helps in finding median, modes, minimum and maximum values, and ranges. Understand that line graphs show changes over time. Students will: Formulate the question that will guide the data collection. Collect data, using observations, measurement, surveys, or experiments. Organize the data into a chart, table, stem-and-leaf plots, and line graphs. Display data in line graphs and stem-and-leaf plots. Construct line graphs, labeling the vertical axis with equal whole number, decimal, or fractional increments and the horizontal axis with continuous data commonly related to time. Construct a stem-and-leaf plot to organize and display data, where the stem is listed in ascending order and the leaves are in ascending order, with or without commas between leaves. Title the given graph or identify the title. Interpret the data in a variety of forms. ASSESSMENT How will you assess what your students ALREADY KNOW, and assess WHAT THEY’VE LEARNED? Already KnowSOL 4.14 Lesson 5.14 Harcourt Math- Check What You Know Pg95 12-13 Flanagan Materials, Math, 5th5.15 Bank Questions (Pre or Post Assessment) What they’ve learned12-13 Flanagan Materials, Math, 5th5.15 Bank Questions (Pre or Post Assessment) IXL 5th Grade S. 3 Line Graph IXL 5th Grade S. 10 Interpret Line Plot IXL 5th Grade S. 13 Stem-and-leaf Plot ACTIVITIES HOW will you teach it? I would teach this lesson after the core lesson of 5.14 1. Prepare sets of five envelopes, each with a different colored dot on it. Give each student a set of envelopes and five small pieces of paper. Ask students to write numerical answers to each of the following questions on separate pieces of paper. Questions: How many brothers and sisters do you have? (Put answer in the envelope with the blue dot.) On what day of the month (number) is your birthday? (Put answer in the envelope with the green dot.) What is the total number of letters in your whole name—first, middle, and last? (Put answer in the envelope with the yellow dot.) What month (number) were you born in? Example January=1 (Put answer in the envelope with the purple dot.) What is your favorite grade in Elementary School? (Put answer in the envelope with the red dot.) 2. Split class up into 5 groups. Have each group collect all their responses and hand them to you. Divide all student responses into five large, color-coded envelopes. 3. Give each group one of the large envelopes, and have each group use the data and markers to create a stem-andleaf plot on a large sheet of poster board. Do not title your stem-and-leaf plot. Each group should find the mean, median, mode, and range of the data and include that information on their plot. 4. Display the stem-and-leaf plots along with five graph titles on sentence strips. Have students identify which title each plot represents. DIFFERENTIATION How will you meet the needs of all students? For struggling students provide a stem-and-leaf chart as a guide. Provide more complex data to chart for higher ability students. RESOURCES Harcourt Math Lesson 5.4 Problem Solving Strategy Harcourt Math Lesson 5.5 Analyze Graphs Harcourt Math Lesson 6.3 Make Line Graphs Heterogeneous grouping arrangements in which whole classes of students of varying intellectual ability learn together in one classroom. Within-classroom TEACHER NOTES: Extension Have students write questions about their data for others groups to answer. 2. Next step/day have students illustrate data in another graph http://rec-puzzles.org/probability.html – A Web site format and compare the graphs/ containing many word problems involving Questions probability and their solutions. How can you use the mean, median, mode, and/or range to help http://nces.ed.gov/nceskids/probability – National you decide which title goes with which graph in the mystery data Center for Education Statistics Web site with lesson? probability activities for students and many other What are some other types of data that can be displayed in a resources. stem-and-leaf plot? http://mathforum.org/dr.math/faq/faq.boy.girl.html – Probability activities and information from the Math What type of job would you use a stem-and-leaf plot and how would it help them? Forum. Additional Activity: Create a survey question that can be www.nces.ed.gov/nceskids/Graphing/ – An interactive Web site for students that allows them to displayed in a stem-and-leaf plot. Collect data from the class and present it in a stem-and-leaf plot. create several types of graphs. http://illuminations.nctm.org/lessonplans/35/airplanes/ – In this lesson, students make paper airplanes and explore attributes related to groupings in which students of varying abilities learn together in cooperative learning arrangements. increasing flight distances. Each student collects data from three flights of the airplane and finds the median distance. Students then collect, organize, display, and interpret the median distances for the class in a stem-and-leaf plot. http://score.kings.k12.ca.us/lessons/mandm.html – A lesson plan that uses small individual bags of “M&M’s”® Candies to review students’ understanding of estimating, sorting, graphing, mean, median, mode, fractions, percentage, and averaging. http://www.brainpop.com/math/dataprobability/mean modemedianrange/index.weml – An interactive Web site for students using probability concepts. http://illuminations.nctm.org/lessonplans/68/baseball/index.html – Having Fun with Baseball Statistics. These activities allow students to explore statistics surrounding baseball. They are exposed to connections between various mathematical concepts and see where this mathematics is used in areas with which they are familiar.