Number Formats

Unit Details Subject: Math Learning Level: Middle School Author(s): Cassandra Wabara, Ralph Whittington, Janice Rech, Irene Platis, Chris Kairy, Steve Grey Submitted by:

Abstract Students will see how fractions, decimals, and percents are used and the functions of those uses in life applications. Invitation/Fundamental Understandings: Essential Questions: Knowledge and skills: Understand numbers, ways of representing numbers, relationships among those numbers, and the number systems using decimals, fractions, and percents. 1) How can numbers expressed as fractions, decimals,and percents be compared? 2) How would life be different if we did not have fractions, decimals, or percents? 3) In what circumstances is it best to use fractions, decimals, and percents? 4) How do fractions, decimals, and percents change when they represent a number greater than or less than one? A) Be able to compare fractions to fractions by subtraction and division. Be able to convert from fractions to percents by way of decimals. B) Order fractions, decimals, and percents by placing in appropriate location on a number line. C) Know that "1/4 off" or "25% off" refers to 1/4 or 25% of original. D) Know that "1/4 more than" or "200% more than" refers to adding 1/4 or 200% of original to itself. E) Know in which contexts fractions, decimals, adn percents are commonly used. Standards National Standards Number and Operations (Grades 6-8) Compare and order fractions, decimals, and percents efficiently and find their approximate locations on a number line. State Standards Nevada Mathematics Content Standards and Indicators of Progress- Grade 7 1.7.6 Compare and order groups containing a mix of fractions, percents, and decimals(e.g., on a number line) Workforce Competencies: Standard Title: NUMERIC PROBLEM SOLVERS (3.3) Students use numeric operations and concepts to describe, analyze, disaggregate, communicate, and synthesize numeric data, and to identify and solve problems. Standard Title: CREATIVE AND CRITICAL THINKERS (3.4) Students use creative thinking skills to generate new ideas, make the best decisions, recognize and solve problems through reasoning, interpret symbolic data, and develop efficient techniques for lifelong learning.    Standard Title: RESOURCE MANAGERS (3.6) Students appropriately allocate time, money, materials, and other resources.   Optional Standard Title: COOPERATIVE WORKERS (3.8) Students work cooperatively to successfully complete a project or activity.  Unit of Practice Context a) Students must understand fractions, decimals, and percents are parts to the whole. Assessment Summative Assessment -Students will be given a real life setting in which they have to apply decimals, fractions, percents, and critical thinking skills. -Students may work in small groups, at teacher discretion. Situation: The student(s) will be given a set amount of play money and a shopping list with 5 items and the circulars from 3 different comparable stores ( the teacher will formulate the list based on what is in the circulars for that day/week). Students will get to keep all the money they save. Further, they will be given the following coupons: 1. a 15% coupon off any one item 2. 1/3 off any one item 3. 75 cents off any one item They can use the coupons at any store. Students will need to demonstrate understanding of decimals, fractions, percents and their related conversions. It will be crucial that they apply critical thinking. Students will produce a cost analysis sheet indicating the savings from each store (and graphically represents their results). *Not actual money Store ads are up to the teacher and what items that will be bought. The 75 cent coupon can be re-written to match items being bought. If students are buying computer equipment the coupon can be $50 or other. Components: a) compare fractions by subtraction and division b) convert fractions to percents by way of decimals c) think about contexts in which fractions, decimals, and percents are commonly used d) work with percents larger than 100 e) reflect on importance of fractions, decimals, and percents Additional Resources Main URL: Related Resources Related Lessons Hamburger Lesson Skateboards Is This Fair? How much is a movie worth? A New Life Copyright © 1997-2003 Career Connection to Teaching with Technology USDOE Technology Innovation Challenge Grant Marshall Ransom, Project Manager All rights reserved.