Measurement and Data

Represent and interpret data.

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In this unit plan students apply their knowledge of data collection, display, and analysis to create a plan for improving the environment. Each of the four lessons in this unit requires students to collect data about recyclable materials and display the data for analysis. Each lesson includes students worksheets (PDF), discussion questions, and extension ideas. | Lesson Plans, Unit of Instruction Grade Level: 3, 4, 5 | |

This website for teachers offers tasks to integrate personal finance into the teaching of the CCSS in Mathematics. It provides teachers with Common Core aligned tasks that connect the Common Core to applications of the Big Ideas of Personal Finance. Tasks include teacher notes, printable student worksheets, and sample solutions. | Lesson Plans, Problem Set Grade Level: K, 1, 2, 3, 4, 5 | |

This engaging web site contains information and interactive applets related to various number systems: Egyptian, Babylonian, Chinese, Greek, Roman, Mayan, and Arabic. Users learn the history and structure of each system as well as how to count and write numbers. The site also allows users to explore finger systems, calculating machines, other number bases, and "interesting numbers." A series of pages on data and graphs includes information and activities on gathering, analyzing, graphing and sorting data. (Because the section on the Arabic number system is so extensive, it is cataloged separately as a related resource.) | Activity, Interactive Media, Tutorial, Reference Materials Grade Level: 1, 2, 3, 4, 5 | |

In this Illuminations unit (three lessons), students formulate and refine questions that can be addressed by categorical data (Lesson 1) and numerical data (Lesson 2). They then collect, organize, and display with bar and circle graphs relevant data to answer those questions. They recognize the differences in analyzing categorical and numerical data. In the final lesson students identify examples of each type of data by looking at the question asked and discover the type of data collected determines the type of data display that is the most appropriate way of representing it. Students work with partners to collect data and create graphs for both types of data using the Data Grapher (cataloged separately). | Lesson Plans, Unit of Instruction Grade Level: 3, 4, 5 | |

In this performance assessment task from Inside Mathematics, teachers are provided with an example of an assessment task for the Common Core Standard 3.MD.3. The task includes example student responses, with a scoring rubric, and commentary on the responses. To complete this task, students must read and interpret a bar graph, answering questions about the total number represented and comparing values among the categories. | Assessment, Problem Set Grade Level: 3 | |

In this lesson plan students explore the four forces of flight in order to complete the "Rescue Mission". Students must use their knowledge of probability to choose the spinner that will help them win the game. Students must also use their knowledge of graphing points on a coordinate grid in order to plot the results of each spin. The game board and spinners are included (PDF). | Activity, Lesson Plans Grade Level: 3, 4, 5 | |

In this probability and statistics lesson plan, students use the four components of statistical problem solving outlined in the GAISE report, to determine the number of times a specific outcome will be spun on a spinner with equal sections. In the lesson plan the class conducts an experiment to help determine how many of each colored (red, blue, green) toy car parents must buy if they are expecting about 200 students to play the spinner game at the carnival. The lesson plan includes a data collection sheet, assessment and a template for the spinner in PDF format. | Activity, Lesson Plans Grade Level: 3, 4, 5 | |

In this lesson plan students use various types of visual representation to compare data about the number of letters in the name of each state; students create bar graphs from which they find the Mean, Median, Mode, and Range of their data set (10 states only). These data landmarks and visual representations are used to compare their data with their classmates. The lesson plan includes a grid paper document for creating the bar graph and a link to an applet for a State Data Map (cataloged separately). | Lesson Plans Grade Level: 3, 4, 5 | |

In this data analysis lesson students explore various representations, including bar graphs, steam-and-leaf plots, and box-and-whisker plots, to analyze the frequency of letters in the names of the 50 states. Students are encouraged to use a systematic approach to collect their data and are shown various tools to help them gather and display it. The lesson includes a student worksheet (PDF), links to a Decrypting Text website, Bar Grapher tool, and Box Plotter tool, and suggested questions, extension, and assessment ideas. | Activity, Interactive Media, Lesson Plans Grade Level: 3, 4, 5, 6+ | |

This lesson plan and video from PBS Mathline shows an interdisciplinary lesson in which students use scientific observations to create graphs and compare data. The lesson plan begins with students creating a bar graph, which then leads to a circle graph, and then a line plot. Discussions of observations from each representation are encouraged throughout the lesson. This resource includes a lesson plan, 2 worksheets, and a video commentary by the teachers. | Activity, Lesson Plans, Video Grade Level: 1, 2, 3 |