7.4.2Ma

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 * Grade: 7 Unit: 4 Week: 2 **
 * Content: Geometric Drawing (Technology) **
 * Dates: 1/28 – 2/1 **


 * __ Theme Essential Question __**** : **
 * How can you use formulas and geometry to solve real-world and mathematical problems? **

How can geometrically draw shapes, help determine that a given set conditions will produce a specific shape?
 * __ Essential Questions __**** : **


 * __ Standards __**** : **
 * ** 7.G.2 ** Draw (with technology) geometricshapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine unique triangle, more than one triangle, or no triangle.

To determine is a unique triangle, more than one triangle, or no triangle will always be produced.
 * __ Objectives __**** : **
 * The student will draw triangles given certain sets of conditions, such as
 * The measures of two angles and the included side (ASA),
 * The measures of two angles and the non-included side, associated with one of the specific angle (AAS),
 * The measures of two sides and the included angle (SAS),
 * The measures of all three sides (SSS),
 * The measures of all three angles (AAA),
 * The measure of two sides and the non-included angle, associated with one of the specific sides (SSA)
 * Recommended:
 * The student will conclude that for a triangle to result the sum of any two side lengths must be greater than the third side length (this concept is needed in the 8th grade geometry unit).
 * The student will conclude that the sum of the three angles must equal 180 degrees.


 * __ Reflections and/or Comments from your PCSSD 7th Grade Curriculum Team __**

This lesson is an extention of lesson 4-1.


 * __ Assessment __**** : **
 * Product **
 * The students will continue with their projects from lesson 4-1 by apply an technology component.


 * Key Questions **
 * What are the properties of a triangle?
 * What is a “unique” triangle?
 * How do you know a triangle is “unique”?
 * Do three given lengths always create a triangle?
 * If three given sides make a triangle, is the triangle always unique?


 * Observable Student Behaviors **
 * The student can determine when a given set of conditions will produce a unique triangle, no triangle, or infinite set of triangles.
 * Extension:
 * The students can provide a viable argument to justify when three given sides will produce a triangle.
 * The student can provide a viable argument to justify the angle sum theorem, s = (n-2)180

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. ||
 * ** Mathematical Practices **


 * __ Vocabulary __**** : **


 * ** Math ** ||
 * Protractor Compass Unique triangle Adjacent Angles Complementary Angles Congruent Angles Cross Section Intersection Supplementary Angles Vertical Angles Degrees ||

Continue with the work from lesson 4-1 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. @http://www.discoveryeducation.com/free-puzzlemaker/?CFID=1276695&CFTOKEN=75709576
 * __ Suggested Activities __** :
 * Apply their work from lesson 4-1 using technology such as Sketchpad, Geogebra**,** TI 84 Capri Jr, or other appropriate geometric drawing technolgy
 * ABC //Mastering the Common Core in Mathematics//
 * Types of Angles, Chapter 10.1, p. 116
 * Types of triangles, Chapter 11.1, p. 124
 * Types of Quadrilaterals, Chapter 11.2, p. 125
 * Quadrilaterals and their Properties, Chapter 11.3, p. 126
 * Types of Polygons, Chapter 11.4, Chapter 11.4, p. 127
 * Drawing Shapes, Chapter 11.5, p. 128-134
 * // Houghton Mifflin On Core Mathematics Middle School // Grade 7 Unit 4-2, p. 93-96
 * Gizmo Correlation: None Available at this time
 * // Teaching the Common Core Math Standards with Hands-On Activities, //
 * // 7.G.2 – Activity p.80 //
 * **Highly Recommended** None Available at this time
 * Glencoe 7th Grade //Mathematics Application and Concepts Course 2//, Chapter 10. 4b, p. 432-4
 * Create a puzzle with unit vocabulary words.


 * Diverse Learners **
 * Odyssey (teacher discretion)
 * Skills Tutor (teacher discretion)
 * Math Cool Mod 8


 * __ Homework __**** : ( ** Teachers Discretion**)**
 * See appropriate Glencoe On Core, JBHM and ABC Materials under Suggested Activities


 * __ 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  || Lesson Plan in Word Format (Click Cancel if asked to Log In)
 * ** Multicultural Concepts **


 * __ Resources __**** : **


 * __ Professional Texts: __**

@http://sci.tamucc.edu/~eyoung/geometry_literature.html @http://sci.tamucc.edu/~eyoung/measure_literature.html Click on the following link, @http://libguides.nl.edu/mathinchildrenslit, then look under __Math and Literature Bibliographies__. Many books include websites with __lesson ideas__. @http://sci.tamucc.edu/~eyoung/middle_school_literature.html @http://sci.tamucc.edu/~eyoung/Literature%20webpages/Leonor/index.html @http://sci.tamucc.edu/~eyoung/literature.html
 * __ Literary Texts __**
 * Geometry and Literature Titles:
 * Measurement and children'e Literature/Ratios
 * Mathematics in Children's Literature:Many children's books include math concepts and can be used to help teach them in a fun way. This website includes several annontated Lists of Children's Literature including the math concepts and grade levels.
 * ** Middle & High School: Literature in Mathematics **
 * ** Lesson Plans for Using Literature in Middle and High School Mathematics (developed by Leonor and edited by Elaine) **
 * Miscellaneous Math and Children's Literature


 * __ Informational Texts __**


 * __ Art, Music, and Media __**


 * __ Manipulatives: __**
 * http://nlvm.usu.edu Geometry software


 * __ Games __**
 * @http://www.mathchimp.com/7thGrade.php
 * @http://www.sumdog.com/ A variety of games covering many math topics
 * @http://www.mathplayground.com/SMP_index.html


 * **Videos** **
 * Discovery Learning @http://www.discoveryeducation.com/
 * The Teaching Channel
 * The teaching Channel currently offers videos of K-12 mathematics teaching aligned with the Common Core Sate Standards, which would be perfect for professional development with teacher teams.
 * https://www.teachingchannel.org/videos?categories=topics common-core

Classifying triangles by sides and angles, finding missing angle measures. Students will observe which side lengths make a triangle and investigate the theorem stating that the largest angle is opposite the longest side of a triangle. @http://exchange.smarttech.com/details.html?id=1764f052-3804-448f-9f12-95bc5646a2ea @http://exchange.smarttech.com/details.html?id=050e54ad-0dea-4080-ae54-975d93487209
 * __ SMART Board Lessons, Promethean Lessons __**
 * 7.G.2 All About Triangles
 * 7.G.2 Triangle Inequalities
 * Smart Board rational number lessons
 * Rational numbers Smart Board lessons

__ @http://www.shodor.org/interactivate/guide/ __ __Activities and tools:__ @http://www.shodor.org/interactivate/activities/
 * __ Other Activities, etc. __**
 * Puzzle Maker
 * []
 * // Interactivate // is a set of free, online courseware for exploration in science and mathematics. It is comprised of activities, lessons, and discussions. The site is structured around collections of activities, lessons, and discussions.

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