Unit Overview Content Area: Math Unit Title: Data Unit: 10 Target Course/Grade Level: Fifth Grade Timeline: 3 weeks Unit Summary: Students apply their understanding of operations with fractions to solve problems from information presented by line plots. Primary interdisciplinary connections: Language Arts , Science and Technology 9.1 21st-Centuries Life & Career Skills Standard 9.1 All students will demonstrate the creative, critical thinking, collaboration, and problem-solving skills needed to function successfully as both global citizens and workers in diverse ethnic and organizational cultures. Strand: A. Critical Thinking and Problem Solving B. Creativity and Innovation C. Collaboration, Teamwork and Leadership Content Statement: 9.1.8: A The ability to recognize a problem and apply critical thinking skills and problem solving skills to solve the problem is a lifelong skill that develops over time. 9.1.8: C Collaboration and team work enable individuals or groups to achieve common goals with greater efficiency. Leadership abilities develop over time through participation in group and or teams that that are engaged in challenging or competitive activities. 9.1.8: B Gathering and Evaluating knowledge and information from a variety of sources, including global perspective, fosters creativity and innovative thinking. st 21 Century themes and skills: Critical Thinking and Problem Solving, Collaboration, Teamwork and Leadership, Creativity and Innovation Mathematical Practices: 5.MP.1 Make sense of problems and persevere in solving them. 5.MP.2 Reason abstractly and quantitatively. 5.MP.3 Construct viable arguments and critique the reasoning of others. 5.MP.4 Model with mathematics. 5.MP.5 Use appropriate tools strategically. 5.MP.6 Attend to precision. 5.MP.7 Look for and make use of structure. 5.MP.8 Look for and express regularity in repeated reasoning. Learning Targets Domain: Measurement and Data 5 MD Cluster: Represent and interpret data 5. MD.2 Standard # Standards 5.MD.2 Make a line plot to display a data set of measurements in fractions of a unit (1/2, ¼, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. 9.1.8.A.1 Develop strategies to reinforce positive attitudes and productive behaviors that impact critical thinking and problem-solving skills. 9.1.8.A.2 Implement problem-solving strategies to solve a problem in school or the community. 9.1.8.B.2 Assess data gathered to solve problems for which there are varying perspective (e.g., cross cultural, gender specific, generational, etc.) and determine how the data can best be used to design the multiple solutions. 9.1.8.C.1 Determine an individual’s responsibility for personal actions and contributions to group activities. 9.1.8.C.2 Demonstrate the use of compromise, consensus and community building strategies for carrying out different task, assignments and projects. 9.1.8.C.3 Model leadership skills during classroom and extracurricular activities. Unit Essential Questions How can the collection, organization, interpretation, and display of data be used to answer questions? Unit Enduring Understandings The message conveyed by the data depends on how the data is collected, represented and summarized. The results of a statistical investigation can be used to support or refute an argument. Unit Learning Targets Students will ... Make a line plot with fractions of a unit. Understand the use of a line plot and how it different from other forms of data representation. Add, subtract, multiply and divide to answer questions in any given measurement system. Identify outliers and how they affect data. Calculate measures of central tendency (mean, median, mode and range) with use of calculator as needed. Evidence of Learning Summative Assessment Make a number line with fractional intervals including whole numbers, 1/2s,1/4ths, and 1/8. Given a set of data including fractional intervals, whole numbers, 1/8ths, construct a line plot. With a given set of data including whole numbers, 1/2s, 1/4ths, 1/8ths, calculate measures of central tendency. Equipment needed: Smart Board, white boards, computers, number lines, fraction cubes, calculators, line plots Teacher Instructional Resources: Scott Foresman and Addison Wesley Study Island Khan Academy Videos Formative Assessments Skill sheets Quizzes/Tests Student workbook Homework Math games Study Island Integration of Technology: Smart Board to play online games and utilize online resources. Kahn Academy Videos Excel Elmo – for demonstration Scott Foresman – Pearson Success Net - https://www.pearsonsuccessnet.com/snpapp/login/login.jsp Study Island Technology Resources: Click the links below to access additional resources used to design this unit: http://www.icoachmath.com/math_dictionary/line_plot.html: Web 2.0 interactive lesson on line plots with whole numbers. http://www.pdfgeni.com/book/5th-grade-line-plot-worksheets-pdf.html: 5th grade line plots lessons http://www.purplemath.com/modules/meanmode.htm: Measure of central tendency (mean, median, mode, range and outlier). http://algebralab.org/lessons/lesson.aspx?file=Algebra_StatMeanMedianMode.xml- lesson on how to determine mean median mode and range. http://www.khanacademy.org – Interactive 2.0 instructional and practice site. Students can view instructional videos and complete practice modules for additional practice/remediation. http://www.studyisland.com/ - Web-based instruction, practice, assessment and reporting built from NJ standards. http://www.ixl.com/math/grade-5 - IXL 5th grade online interactive activities for the students to complete http://www.aaamath.com/grade5.html - AAA math 5th grade – online interactive activities and problems for the student to complete. Opportunities for Differentiation: Decelerated: Students will be limited to unit fractions. Determine measures of central tendency limited to whole numbers. Accelerated: Students will use both fractions and decimals to solve real world problems by interpreting data from a line plot. Calculate measure of central tendency with numbers that are not whole numbers Teacher Notes: Coordinate with the technology teacher to show students how to use Excel, so that they can graph on the computer as well as with paper and pencil.