6.3.1Ma

 ** Grade: 6 Unit: 3 Week: 1 Dates: 11/12-11/18 **  ** Content: The Coordinate Plane **   How can you use numerical and algebraic expressions, equations, and inequalitites to solve real life mathematical problems?   ** Essential Questions: **   ** Standards **
 * Theme Essential Questions: **
 * Can students find the distance between two points that lie on a horizontal or vertical line on a coordinate plane?
 * Can students use the strategy //draw a diagram// to help you solve a problem in the coordinate plane.
 * ** 6.NS.8 ** Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

** Objectives: **   ** Reflections/ Comments from your PCSSD 6th grade curriculum team: ** (Taken from Ohio Department of Education Teaching) They are now ready to understand that all numbers have an opposite. These special numbers can be shown on vertical or horizontal number lines, which then can be used to solve simple problems. Demonstration of understanding of positives and negatives involves translating among words, numbers and models: given the words “7 degrees below zero,” showing it on a thermometer and writing -7; given -4 on a number line, writing a real-life example and mathematically -4. Number lines also give the opportunity to model absolute value as the distance from zero. Simple comparisons can be made and order determined. Order can also be established and written mathematically: -3° C > -5° C or -5° C < -3° C. Finally, absolute values should be used to relate contextual problems to their meanings and solutions. Using number lines to model negative numbers, prove the distance between opposites, and understand the meaning of absolute value easily transfers to the creation and usage of four-quadrant coordinate grids. Points can now be plotted in all four quadrants of a coordinate grid. Differences between numbers can be found by counting the distance between numbers on the grid. Actual computation with negatives and positives is handled in Grade 7.
 * Students will find the horizontal and vertical distances on the coordinate plane.
 * Studetns will solve problems on the coordinate plane by using the strategy //draw a diagram//.

** Background Information **   ** Assessment **
 * Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials. **
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 * Product **

** Key Questions **

** 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. || ** Vocabulary **   On Core Mathematics Mastering the Common Core ABC Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8 Gizmos JBHM Glenco 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. Tasks that illustrate content standard 6.NS.8: ** Diverse Learners **
 * ** Mathematical Practices **
 * Suggested Activities **
 * Distance on the Coordinate Plane Lesson 47p93-94
 * Problem Solving-The Coordinate Plane Lesson 48 p95-96
 * 4.5 Real-world numer line problems
 * 5.7 Solving Problems Using Geomtric Figures on a Coordinate Plane
 * Chapter 5 p68-70
 * The Maze Game p27 ([] )
 * None currently available for this area.
 * 7th GP2, Unit 1 SBIL-1 Plotting Ordered Pairs
 * 6th 8-6
 * None Currently
 * Odyssey (teacher discretion)
 * Skills Tutor (teacher discretion)
 * Math’scool 10.1, 10.3-sec2,3,4 omit algebraic/geometric links and Pythagorean theorem for now.
 * Math.com (none)

** Homework **
 * ** [] ** to print assignments on variety of topics
 * See appropriate Glencoe, OnCore, JBHM, and ABC materials under suggested activities

** Terminology for Teachers: ** Integers, absolute value, compare, order,rational number, coordinate ** 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 ||   || **Lesson Plan in Word Format** (Click Cancel if asked to Log In)
 * || ** Multicultural Concepts **

** Resources **
 * Professional Texts **

** Literary Texts **

** Informational Texts **   ** Art, Music, and Media **  <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> ** Manipulatives **
 * See New York Common Core Aligned Task (other resources) @http://schools.nyc.gov/Academics/CommonCoreLibrary/SeeStudentWork/default.htm
 * www.nlvm.usu.edu
 * Graphing calculators

** Games **
 * www.mathplayground.com
 * @http://www.sumdog.com/ Variety of games covering many math topics

** Videos **
 * Discovery Learning @http://www.discoveryeducation.com/

** Websites ** <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> ** Sight Words ** <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> ** SMART Board Lessons, Promethean Lessons ** <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> ** Other Activities, etc. **
 * @http://www.khanacademy.org/math
 * @http://www.tli.net/ TLI Quiz Builder
 * @http://webmath.com//.//
 * Smartboard Resource Website Smartboard lesson search engine

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