Beacon Lesson Plan Library
Closing the Case
Lisa Ove Gibson Bay District Schools
Description
Students review the steps for data collection and how to prepare data displays using statistical information from a survey.
Standards
Florida Sunshine State Standards MA.E.1.2.2.5.1 The student uses a stem-and-leaf plot from a set of data to identify the range, median, mean, and mode.
MA.E.1.2.2.5.2 The student uses range and measures of central tendency in real-world situations.
MA.E.3.2.1.5.3 The student creates an appropriate graph to display data, including titles, labels, scales, and intervals.
MA.E.3.2.1.5.4 The student interprets the results using statistics (range and measures of central tendency).
Florida Process Standards Information Managers 01 Florida students locate, comprehend, interpret, evaluate, maintain, and apply information, concepts, and ideas found in literature, the arts, symbols, recordings, video and other graphic displays, and computer files in order to perform tasks and/or for enjoyment.
Numeric Problem Solvers 03 Florida students use numeric operations and concepts to describe, analyze, communicate, synthesize numeric data, and to identify and solve problems.
Critical and Creative Thinkers 04 Florida students use creative thinking skills to generate new ideas, make the best decision, recognize and solve problems through reasoning, interpret symbolic data, and develop efficient techniques for lifelong learning.
Materials
-Data Detective Diary (used throughout the unit Data, Detectives, and Decisions)
-Chart paper/writing device
-Compiled data set: results from the student-conducted survey of 5th grade students asking, How much time should the average fifth-grade student spend on homework to make good grades? THE TEACHER SHOULD PREPARE THIS BEFORE TODAY'S LESSON (the results from the survey were also used in yesterday's lesson plan)
-Teacher's Observation from the Unit Review (see attached file Pg. 1)
-Steps for Data Collection (see attached file Pg. 2)
-Short Answer Question Rubric (see attached file Pg. 3)
-Activity for Closing the Case (see attached file Pgs. 4 9)
Preparations
1. Combine and organize the small group representative samples from (Lesson # 3 Looking for More Clues) to form one complete set of data results (like the committee members did in the Student Web Lesson, All That Data!). This must be completed by the teacher prior to this day, organized on a worksheet, and given to each student. Illustrate these data results in some way and administer one copy to each student.
2. Provide a mini-lesson explaining the steps for data collection for a survey of a representative sample (see attached file).
3. Create a mini-lesson of all concepts covered during the unit Data, Detectives, and Decisions for a summative review.
Procedures
1. Special note: Teachers may need to produce handouts for students to practice due to the variety of data, which can be collected.
2. Review the steps involved in data collection: Generating Questions and Designing a Survey (Lesson #1 - Opening the Case), Selecting a Representative Sample and Collecting/ Organizing Data (Lesson #2 - Observing the Evidence), Displaying Data (Lesson #3 - Looking for More Clues), and Interpreting Data (Lesson #4 - Using Statistics to Uncover More Evidence). See Data, Detectives, and Decisions in the Unit Plans section of the Beacon Learning Center Website.
3. Provide a copy of Steps for Data Collection (see attached file) for each student. These steps serve as a reminder for students.
4. As a class, identify how each of the steps were followed as you sought to answer the question, How much time should an average 5th grade student spend on homework to make good grades? Generally speaking, the steps for data collection can be summarized in the following way:
1) Design a survey with questions that require more than a yes or no response.
2) Use a stem-and-leaf plot to organize the data collected from the survey.
3) Identify the range, mean, median, and mode (also known as the measures of central tendency) of the data.
4) Acquire a representative sample for your survey.
5) Display the data collected from the survey in a line, double bar, and/or circle graph (depending on the kind of information that you collected) (see attached file). As you review the steps for data collection with students, ask them to write their own notes on the attached file, Steps for Data Collection.
5. Combine all of the small group representative samples to form one complete set of data results, which was originally collected during group work in Lesson #2 - Observing the Evidence. This must be completed by the teacher PRIOR to this day, organized on a worksheet, and given to each student (see attached file).
6. Provide each student with a worksheet containing the complete set of data results.
7. Provide each student with a copy of the Activity for Closing the Case (see attached file).
8. As a class look at the distribution of the data. Organize the data in two different stem-and-leaf plots (one for girls' responses and one for boys') and identify the range, mean, mode, and median of each group. Make sure students understand how a stem-and-leaf organizes the information to help easily identify the range and measures of central tendency. (This is the last opportunity to help students understand any misconceptions. The summative assessment for the unit is scheduled for tomorrow.)
9. Students write the stem-and-leaf plots on their own paper, one plot is for the girls' portion and another is for the boys' portion of the survey this is not a diary entry. Students also identify the range, mean, median, and mode for each stem-and-leaf plot. Use the Preparation for the Summative Assessment-Checklist to individually assess each student on his or her work (see attached file).
10. Provide proper feedback for students to make sure they comprehend the relationships between stem-and-leaf plots, range, and measures of central tendency (for more detailed information about stem-and-leaf plots see Web addresses in the WebLinks section of this document.) Assess student work by walking from desk to desk to observe their answers.
11. After completing the stem-and-leaf plots, students (while still in their small groups) display the data results in both a double bar and a circle graph. Based the results that were collected, what comparisons can be made between students' responses? Summarize the relationships that are noticed in each type of graph. Write at least two comparative statements after each graph (in sentence form). Remember to display the data using appropriate titles, labels, scales, and intervals.
12. Use the criteria listed on the Short-Answer Question Rubric to assess the validity of each statement made (see attached file) this is not a diary entry.
13. Use the Preparation for the Summative Assessment-Checklist to record each student's progress completing the graphs (see attached file). Make sure you provide formative feedback for each student before the end of the class period since the summative assessment is tomorrow.
14. For the benefit of the class, record the results of the graphs on a larger scale (on the chalkboard or on the overhead projector) - reviewing the correct answers with the students.
15. Discuss the range, mean, median, mode and distribution of data. Review the interpretations that can be made based on the data results.
16. Following this days' lesson is a summative assessment. See the Extensions section of this lesson for the location of this assessment.
Assessments
Formative assessments for MA.E.1.2.2.5.1, MA.E.1.2.2.5.2, MA.E.3.2.1.5.3, MA.E.3.2.1.5.4:
1) Students create two stem-and-leaf plots (one for girls' responses and another for the boys') based on the complete set of data organized by the teacher.
2) Based on the stem-and-leaf plots students correctly identify the range, mean, median, and mode for each plot.
3) Students create a double bar graph (comparing girls' to boys' responses) and two different circle graphs (boys and girls versions).
4) Summarize the relationships that are noticed in each type of graph. Write at least two comparative statements after each graph (in sentence form).
These formative assessments are the last practice opportunities for students before they must show mastery of the specified Sunshine State Standards. If students appear to struggles with any of the content, individual tutoring sessions with the student should be established before the summative is administered.
Extensions
Click here to view the Beacon Unit Plan associated with this lesson. See Associated Files to download the Unit Plan Overview, Unit Assessment, and other associated files.
Lesson 1 Opening the Case
Lesson 2 Observing the Evidence
Lesson 3 Looking for More Clues
Lesson 4 Using Statistics to Uncover More Evidence
Directions for using the attached files attached:
1. Page 1 titled Teacher's Observation from the Unit Review should be given to every student. This is the checklist that the teacher will use to assess if the student is prepared for the summative assessment.
2. Page 2 titled Steps for Data Collection serves as a guide for the student and the teacher. This page should be given to each student to help remind them of the steps for data collection and display. This worksheet can also be used to record student's notes from today's class discussion.
3. Page 4 - 9 Activity for Closing the Case allows students the opportunity to practice the concepts taught in this unit. If students have difficulty completing any of the information in this activity, offer additional instruction as needed.
Web Links
This site offers an online math dictionary for educators and students. You want to check this out! A Math Dictionary for Kids This site offers an online math dictionary for educators and students. You want to check this out! Harcout Math GlossaryThis site offers an excellent illustration of a stem-and-leaf plot and allows for interactive practice finding the mean, median, and mode of data using an Online stem-and-leaf plot. Making Stem and Leaf PlotsThis site is ABSOLUTELY awesome!! It allows students the opportunity to practice using data in a stem-and-leaf plot to find the mean, median, and mode. Stem and Leaf Plotter This site offers a demonstration lesson for teachers using stem-and-leaf plots. Stem-and-Leaf Plots
Attached Files
Closing the Case Attached Files File Extension: pdf
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