6.2.5Ma

** Grade: 6 Unit: 2 Week: 5 Dates: 10/29-11/2 ** ** Content: Fractions & decimals, Rational Numbers ** ** Prerequisites: Graph integers and rational numbers on a number line and use the coordinate plane. **  ** Theme Essential Question: **  ** Essential Questions: **  ** Standards **
 *  Can students apply and extent previous understandings of multiplication, division and the number system to divide a fraction by a fraction find common factors and multiples and extend to the rational number system?
 *  Can students convert between fractions and decimals?
 *  Can students compare and order fractions and decimals?
 *  Can students plot ordered pairs of rational numbers on a coordinate plane?
 * ** 6.NS.6 ** Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
 * ** 6.NS.6c ** . Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
 * 

<span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Objectives: ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Reflections and/or Comments from your PCSSD 6th Grade Curriculum Team ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Background Information ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials. ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** @http://www.azed.gov/wp-content/uploads/PDF/MathGr6.pdf ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** @http://www.ncpublicschools.org/docs/acre/standards/common-core-tools/unpacking/math/6th.pdf ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Assessment ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Product ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> On Core Mathematics, Assessment Guide, pg 40-42 <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Key Questions ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** 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: 14px;">** Vocabulary ** Repeating Decimals Coordinate Plane Origin Ordered pair x-axis y-axis || <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Suggested Activities ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> On Core Mathematics <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Mastering the Common Core ABC <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8 <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Gizmos <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Compare and order two rational numbers using an area model. <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> JBHM <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Glenco <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Highly Recommended: 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: 14px;"> Tasks that illustrate content standard 6.NS.6c: <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> None Currently <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Diverse Learners ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Homework ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** @http://www.kutasoftware.com/free.html ** to print assignments on variety of topics <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> See appropriate Glencoe, OnCore, JBHM, and ABC materials under suggested activities <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Terminology for Teachers ** ** 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 || || <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Lesson Plan in Word Format (Click Cancel if asked to Log In)
 * Students will convert between fractions and decimals.
 * Students will compare and order fractions and decimals.
 * Students will plot ordered pairs of rational numbers on a coordinate plane.
 * ** Mathematical Practices **
 * ** Math ** ||
 * Terminating Decimals
 * Fractions and Decimals Lesson 40 p79-80
 * Comparing and Ordering Fractions and Decimals Lesson 41 p81-82
 * Rational Numbers and the Coordinate Plane Lesson 42 p83-84
 * Chapter 2 p15-17
 * Chapter 4 p44-53
 * Graphing on a Number Line p22
 * Bonk the Mole p24
 * ** Comparing and Ordering Rational Numbers **
 * 6th GP1-Unit 2, SBIL-2 Converting fractions, decimals, and percents-omit percents
 * 6th GP1-Unit 2, SBIL-3 Compare and order fractions, decimals and percents-omit percents
 * 6th grade 5-5, 5-6, 5-7
 * 7th grade 5-4, 5-8
 * Odyssey (teacher discretion)
 * Skills Tutor (teacher discretion)
 * Math’scool 5.2
 * Math.com (@http://www.math.com/tables/general/arithmetic/fradec.htm, [] )
 * ||  ** Multicultural Concepts **

<span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Resources ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Professional Texts ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Literary Texts ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Informational Texts ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://schools.nyc.gov/Academics/CommonCoreLibrary/SeeStudentWork/default.htm <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Art, Music, and Media ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Manipulatives ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Games ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Videos ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Websites ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Sight Words ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** SMART Board Lessons, Promethean Lessons ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;">** Other Activities, etc. ** <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://illuminations.nctm.org/LessonDetail.aspx?ID=L733 <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Students will use vertical movement of an elevator to evaluate signed number expressions. <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.findinters/ <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> In this video segment from //Cyberchase,// the CyberSquad is looking for a lost Transformatron. Matt can see it along one line, while Jackie says she can see it along a different line. Digit and Inez try to figure out how this is possible, and they discover that one point can lie on two different lines. <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://illuminations.nctm.org/LessonDetail.aspx?ID=L280 <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Students explore two-dimensional space via an activity in which they navigate the coordinate plane. This NCTM Publication-Based Lesson Plan is adapted from the article,"Tips for Teaching Cartesian Graphing: Linking Concepts and Procedures" by Cathy G. Schloemer, which appeared in Teaching Children Mathematics, Vol. 1, No. 1 (September 1994) pp. 20-23 <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://www.teachersdomain.org/resource/vtl07.math.data.rep.firetrain/ <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> In this video segment from //Cyberchase,// Harry visits a fire station and learns some facts about firefighting. He then decides to train to become a firefighter, but first he must pass both written and physical tests. To practice for the physical part of the test, he works out on a stair climbing machine in shorts and a t-shirt. He keeps track of his steps per minute on a line graph. He does the same exercise during his test, but this time he's suited up in full fireman’s gear. He and his training instructor compare the results represented by each line graph. <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.lpquad1/ <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Students are introduced to graphing on the coordinate plane, in the first quadrant, using (x, y) coordinates. This CYBERCHASE activity is motivated by a video clip in which the CyberSquad is lost, and landmarks are ambiguous. They use the map's grid to construct a coordinate system using letters and numbers. <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://illuminations.nctm.org/LessonDetail.aspx?ID=L617 <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Line ‘Em Up: A self discovery approach in understand the process of plotting points on a coordinate plane, using a program for TI Graphing Calculator. <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.lpplotting/ <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Students watch a set of //Cyberchase// video clips which show that between two points there is exactly one line, and that if two lines intersect, they intersect at a point. These ideas are used to motivate students to learn to plot points in all four quadrants, draw line segments connecting pairs of points, and find the coordinates of the intersection. <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://www.teachersdomain.org/resource/ket09.math.geo.pla.origin/ <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> This animation from KET illustrates how an origin is used for positive and negative measurement along a straight line and on a flat plane. It also shows how an origin, latitude, and longitude identify locations on Earth and explores how measuring temperature differs from measuring height or weight <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.twoptsline/ <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> In this video segment from //Cyberchase//, the CyberSquad have become separated on an island. In order to find each other they bring up a map on their Skwak Pads and try to compare positions using a coordinate grid and landmarks on the map. <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.twosight/ <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> In this video segment from //Cyberchase,// the CyberSquad is trying to locate a lost <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> Transformatron. Matt can see it along one line, while Jackie says she can see it along a <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> different line. Digit and Inez try to figure out how this is possible <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> @http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.coordingrd/ <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> In this video segment from //Cyberchase//, the CyberSquad have become separated on an island. In order to find each other they bring up a map on their Skwak Pads and try to compare positions using a coordinate grid and landmarks on the map
 * See New York Common Core Aligned Task (other resources)
 * www.nlvm.usu.edu
 * Graphing calculators
 * www.mathplayground.com
 * @http://www.sumdog.com/ Variety of games covering many math topics
 * Discovery Learning @http://www.discoveryeducation.com/
 * @http://www.khanacademy.org/math
 * @http://www.tli.net/ TLI Quiz Builder
 * @http://webmath.com//.//
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 14px;"> SMART Board Resource Website Smartboard lesson search engine
 * ** Elevator Arithmetic **
 * ** Finding the Intersection **
 * ** Finding Your Way Around **
 * ** Firefighter Training **
 * ** Graphing in Quadrant 1 in the Coordinate Plane **
 * ** Line 'Em Up **
 * ** Plotting Pairs of Coordinate Points in All Four Quadrants to Construct Lines **
 * ** Points of Origin **
 * ** Two Points Determine a Line **
 * ** Two Sightings, Different Information **
 * ** Using a Coordinate Grid **

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