6.1.5Ma


 * Grade: 6 Unit: 1 Week: 5 Content: Math Dates: 9/17-9/21/12 **

**Theme Essential Question: **How do students connect ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems?

**Essential Questions: ** **Standards ** **Ratios and Proportional Relationships 6.RP ** **Understand ratio concepts and use ratio reasoning to solve problems. ** **Objectives ** **Background Information ** **Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials. ** @http://www.azed.gov/standards-practices/files/2011/06/2010mathgr6.pdf Ohio Dept of Education Mathematics Model Curriculum 6-28-2011
 * Can students use ratio reasoning to convert from one unit of measurement to another?
 * Can students use ratio reasoning to convert from one unit of capacity to another?
 * Can students use ratio reasoning to convert from unit of weight or mass to another?
 * Can students transform units to solve problems?
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Can students solve problems involving distance, rate, and time by applying strategies?
 * <span style="font-family: arial,helvetica,sans-serif;">** 6.RP.3: ** Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
 * d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">The student will understand that measurement units employ ratio reasoning (e.g., if 3 feet is equal to yard, then 6 feet is equal to 2 yards).
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">The student will understand that tools such as tables of equivalent ratios, tape diagrams, double number line diagrams, and equations can help scaffold understanding for converting measurement units.
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">The student will understand that establishing connections between //tools// allow for extended reasoning and synthesis of the concept of ratios and rates (e.g., How do tape diagrams and double number lines show rate reasoning given the same context?).

**<span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Assessment ** **<span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Product ** <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;">@http://www.educationworld.com/a_lesson/TM/WS_lp268-04.html <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;">@http://www.teach-nology.com/web_tools/materials/bingo/
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">The students will create a bingo game with measurement conversions that can be played/shared with the class. See the following websites for ideas and blank boards:

**<span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Key Questions ** **<span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">Observable Student Behaviors ** 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. || **<span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Vocabulary ** Unit Rate Proportion Cross Products Scale Modeling Scale Drawing Rate Scale || **<span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Suggested Activities **<span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;"> [see Legend to highlight MCO and HYS] <span style="font-family: arial,helvetica,sans-serif;">@http://illustrativemathematics.org/illustrations/79 <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">How do you convert units to length?
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">How do you convert units of capacity?
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">How do you convert units of weight and mass?
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">How do you transform units?
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">The student can convert customary units using ratio tools and methods.
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">The student can convert metric units by multiplying or dividing by powers of ten.
 * ** Mathematical Practices **
 * Unit
 * <span style="font-family: arial,helvetica,sans-serif;">__ Houghton Mifflin OnCore Mathematics Middle School Grade 6 __
 * Lessons 15-37, p.29-38
 * <span style="font-family: arial,helvetica,sans-serif;">__ Teaching the Common Core Math Standards with Hands on Activities __
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">JBHM GP 1. Unit 1, p. 1-29
 * <span style="font-family: arial,helvetica,sans-serif;"> NLVM conversion manipulative: http://nlvm.usu.edu/en/nav/frames_asid_272_g_2_t_4.html?open=instructions&from=category_g_2_t_4.html
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Highly Recommended:
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">JBHM GP3. Unit 2, p.35-78
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">Glencoe
 * Hands on Lab 384-385
 * Algebra: Solving Proportions Mini Lab pg: 386
 * Spreadsheet Investigation pg. 390
 * Hands on Lab Construct Scale Drawings pg: 391
 * Bellringer pg. 391
 * Study Guide and Intervention pg. 491, 496 and 501
 * Calculators and Spreadsheet Masters pg 43
 * Key Teaching Transparencies pg 37
 * MathPass Tutorial CD-Rom pg 29
 * Real-life Career Masters pg10
 * Teaching Mathematics with Manipulatives pgs.91-92
 * Noteables Interactive Study Noteables with Foldables 10-2


 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Diverse Learners: **
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">Odyssey (teacher discretion)
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">Skills Tutor (teacher discretion)
 * <span style="color: windowtext; font-family: arial,helvetica,sans-serif; font-size: 11pt;">Math’scool: Unit C, Module 12.1,12.2, 12.3, 12.4, 12.5

<span style="font-family: arial,helvetica,sans-serif;">@http://www.kutasoftware.com/free.html <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">to print assignments on variety of topics
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Homework **
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">See appropriate Glencoe, OnCore, JBHM, and ABC materials

<span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Scale-gives the ratio that compares the measurements on the drawing or model to the measurement of the real object. <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Scale Modeling-use to represent objects that are too large or too small to be drawn or built at actual size. <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Scale Drawing <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Rate- is a ration of two measurements having different kinds of units. <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Conversion factor-a rate in which the two quantities are equal but expressed in different units. <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Unit Rate-When a rate is simplified sp that it has a denominator of 1.
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Terminology for Teachers **
 * ||  || ** Multicultural Concepts ** ** E ** thnicity/**C**ulture | **I**mmigration/**M**igration | **I**ntercultural **C**ompetence | **S**ocialization | **R**acism/**D**iscrimination  ** High Yield Strategies ** ** S ** imilarities/**D**ifferences | **S**ummarizing/**N**otetaking | **R**einforcing/**R**ecognition | **H**omework/**P**ractice |  ** N ** on-**L**inguistic representation | **C**ooperative **L**earning | **O**bjectives/**F**eedback |  ** G ** enerating-**T**esting **H**ypothesis | **C**ues, **Q**uestions, **O**rganizers  ||   ||
 * ||  || ** Multicultural Concepts ** ** E ** thnicity/**C**ulture | **I**mmigration/**M**igration | **I**ntercultural **C**ompetence | **S**ocialization | **R**acism/**D**iscrimination  ** High Yield Strategies ** ** S ** imilarities/**D**ifferences | **S**ummarizing/**N**otetaking | **R**einforcing/**R**ecognition | **H**omework/**P**ractice |  ** N ** on-**L**inguistic representation | **C**ooperative **L**earning | **O**bjectives/**F**eedback |  ** G ** enerating-**T**esting **H**ypothesis | **C**ues, **Q**uestions, **O**rganizers  ||   ||

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 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Resources **


 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Professional Texts **
 * <span style="font-family: arial,helvetica,sans-serif;">__ Teaching the Common Core Math Standards with Hands on Activities __
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Literary Texts **


 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Informational Texts **
 * <span style="font-family: arial,helvetica,sans-serif;">See New York Common Core Aligned Task (other resources)


 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Art, Music, and Media **


 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Manipulatives **
 * <span style="font-family: arial,helvetica,sans-serif;"> The National Library of Virtual Manipulatives: http://nlvm.usu.edu


 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Games **


 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Videos **
 * <span style="font-family: arial,helvetica,sans-serif;"> Discovery Education- @http://www.discoveryeducation.com/


 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Websites **
 * <span style="font-family: arial,helvetica,sans-serif;">@http://illustrativemathematics.org/standards/k8__ PARCC Online (released items) __
 * <span style="font-family: arial,helvetica,sans-serif;">Discovery Education
 * <span style="font-family: arial,helvetica,sans-serif;">@http://www.khanacademy.org/math__ Online tutorials __
 * <span style="font-family: arial,helvetica,sans-serif;">@http://www.tli.net/__ TLI Quiz Builder __


 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">SMART Board Lessons, Promethean Lessons **
 * <span style="font-family: arial,helvetica,sans-serif;">SMART Board Resource Website Smartboard lesson search engine

<span style="font-family: arial,helvetica,sans-serif;">@http://sciencenetlinks.com/tools/cell-size-and-scale/ <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">This tool from Science NetLinks shares a simple interactive from the University of Utah's Genetic Science Learning Center that gives students the opportunity to see how various small things compare to one another. <span style="font-family: arial,helvetica,sans-serif;">@http://illuminations.nctm.org/LessonDetail.aspx?ID=L513 <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Students experiment with units of liquid measure used in the customary system of measurement. They practice making volume conversions in the customary system.
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Other Activities, etc. **
 * **<span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Cell Size and Scale **
 * **<span style="font-family: arial,helvetica,sans-serif; font-size: 11pt;">Discovering Gallon Man **

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