PBLMargaretMcCullough

**​PBL Home Page** **Lagistics** **Unit Title**: Let's Make it Happen ** Grade Level **: 7th **Subject:** Math
 * Duration: ** 5 Days

**Problem:** You are on a committee to create a new restaurant in your small town. Many have tried, but all have failed. Your job is to conduct a survey using a random sampling to help determine the type of restaurant you want to open. You must display your collected data on various types of graphs for your presentation to the town.

**Technology Standards**

**2. Communication and Collaboration** a. interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media. b. communicate information and ideas effectively to multiple audiences using a variety of media and formats. c. develop cultural understanding and global awareness by engaging with learners of other cultures. d. contribute to project teams to produce original works or solve problems.
 * Students use digital media and environments to communicate and work collaboratively, including at a distance, to support individual learning and contribute to the learning of others. Students** :

<span style="display: block; font-family: Georgia,serif; font-size: 120%;">**3. Research and Information Fluency** <span style="color: #800080; display: block; font-family: Georgia,serif; font-size: 120%;"><span style="color: #800080; font-family: Georgia,serif; font-size: 110%;"><span style="color: #800080; font-family: Georgia,serif;">a. plan strategies to guide inquiry. b. locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media. c. evaluate and select information sources and digital tools based on the appropriateness to specific tasks. d. process data and report results.
 * Students apply digital tools to gather, evaluate, and use information. Students**

<span style="display: block; font-family: Georgia,serif; font-size: 110%;">Content Standards

<span style="color: #000000; display: block; font-family: Georgia,serif; font-size: 120%;">**M7D1. Students will pose questions, collect data, represent and analyze the data, and interpret results.** <span style="color: #800080; display: block; font-family: Georgia,serif; font-size: 120%;"> • a. Formulate questions and collect data from a census of at least 30 objects and from samples of varying sizes. •d. Analyze data with respect to measures of variation (range, quartiles, interquartile range). •e. Compare measures of central tendency and variation from samples to those from a census. Observe that sample statistics are more likely to approximate the population parameters as sample size increases. •f. Analyze data using appropriate graphs, including pictographs, histograms, bar graphs, line graphs, circle graphs, and line plots <span style="color: #000000; display: block; font-family: Georgia,serif; font-size: 120%;">**M7P1. Students will solve problems (using appropriate technology)** <span style="color: #800080; display: block; font-family: Georgia,serif; font-size: 120%;"> • a. Build new mathematical knowledge through problem solving, •b. Solve problems that arise in mathematics and in other contexts. •c. Apply and adapt a variety of appropriate strategies to solve problems. •d. Monitor and reflect on the process of mathematical problem solving. <span style="color: #000000; display: block; font-family: Georgia,serif; font-size: 130%;">** M7P3. Students will communicate mathematically ** •a. <span style="color: #800080; display: block; font-family: Georgia,serif; font-size: 130%;">Organize and consolidate their mathematical thinking through communication. •b. Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. •c. Analyze and evaluate the mathematical thinking and strategies of others. •d. Use the language of mathematics to express mathematical ideas precisely.

<span style="color: #000000; display: block; font-family: Georgia,serif; font-size: 130%;">**M7P4. Students will make connections among mathematical ideas and to other disciplines** <span style="color: #800080; display: block; font-family: Georgia,serif; font-size: 130%;"> • a. Recognize and use connections among mathematical ideas. •b. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. •c. Recognize and apply mathematics in contexts outside of mathematics.

<span style="color: #000000; display: block; font-family: Georgia,serif; font-size: 130%;">**M7P5. Students will represent mathematics in multiple ways** <span style="color: #800080; display: block; font-family: Georgia,serif; font-size: 120%;">•aCreate and use representations to organize, record, and communicate mathematical ideas. •b. Select, apply, and translate among mathematical representations to solve problems. •c. Use representations to model and interpret physical, social, and mathematical phenomena. <span style="color: #000000; display: block; font-family: Georgia,serif; font-size: 120%;">

<span style="color: #800080; display: block; font-family: Georgia,serif; font-size: 120%;">oBasic understanding of graphs oHow to formulate questions to conduct a survey oUse of technology such as excel, PowerPoint, and publisher <span style="color: #000000; display: block; font-family: Georgia,serif; font-size: 120%;"> **<span style="font-family: Georgia,serif;">Objectives, Outcomes, or Framing Question: List your overall objective, outcome, or framing question for your unit ** <span style="color: #800080; display: block; font-family: Georgia,serif;"><span style="color: #800080; font-family: Georgia,serif; font-size: 120%;">oStudents will conduct a random sampling survey oStudents will display data using appropriate graphs oStudents will choose the graph of best fit to display data oStudents will collaborate to solve a complex problem oStudents will better their understanding of math by working together to solve the problem at hand oStudents will record daily findings in a math journal oStudents will determine which type of restaurant will be successful in their town <span style="color: #800080; font-family: Georgia,serif; font-size: 130%;">.
 * <span style="font-family: Georgia,serif; font-size: 120%;">Prerequisite Skills **