7.4.5Ma


 * Grade: 7 Unit: 4 Week: 5 **
 * Content: Solving Area Problems **
 * Dates: 2/19 – 2/22 (4 days) **


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

What is the strategy to find the area of composite figures?
 * __ Essential Questions __**** : **


 * __ Standards __**** : **
 * ** 7.G. 6 ** Solve real-world and mathematical problems involving area, volume, and surface area of two-and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms

The student will find area of triangles, rectangles, trapezoids, and parallelograms.
 * __ Objectives __**** : **
 * Review
 * The student will find the area of composite/irregular figures by divide the figures into simple geometric figures and finding the sum of the areas.


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

Provide students with ample opportunities to explore and have hands-on experiences with one dimensional figures. Note that Common Core refers to __Composite__ figures while other literature refers to __Complex__ figures.


 * __ Background: __**

Recommended: For a quick overview of the standard(s) to be addressed in this Unit, see Arizona’s Content Standards Reference Materials at@http://www.azed.gov/educator-certification/


 * Taken from __Ohio Dept of Education Mathematics Model Curriculum 6-28-2022__ **

Real-world and mathematical multi-step problems that require finding area, perimeter, volume, surface area of figures composed of triangles, quadrilaterals, polygons, cubes and right prisms should reflect situations relevant to seventh graders. The computations should make use of formulas and involve whole numbers, fractions, decimals, ratios and various units of measure with same system conversions.

ZOO TRAINER project continues:
 * __ Assessment __**** : **
 * Product **
 * The zoo manager has provided the final layout for your animal’s training complex. Complete your scale drawing, provide dimensions that would be suitable for your animal.
 * Determine the total area for your animal’s training complex. Prepare detail documentation of your calculations.
 * If the surface covering for the Animal Grazing and Living Area cost $112.35 per square yard, how much will it cost to cover this area? Prepare detail documentation of your calculations.


 * Key Questions **
 * What is a composite figure?
 * How do you divide a composite/irregular shaped figure into simpler geometric figures?
 * How do you find the area of composite/irregular figures?


 * Observable Student Behaviors (Performance) **
 * The student can use composite/irregular shaped strategies to find area.

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 ** ||
 * Area Composite figures Irregular Area ||

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 __** :
 * // Houghton Mifflin OnCore Mathematics Middle School // Grade 7
 * Unit 5-3, p. 119-122
 * ABC //Mastering the Common Core in Mathematics//
 * Chapter 11.6. Area of squares and rectangles, p. 135
 * Chapter 11.7, Area of triangles, p. 136
 * Chapter 11.8, Area of trapezoids and parallelograms, p. 137
 * Chapter 11.9, Area of composite figures, p. 138-139
 * Chapter 11.10, Area Word Problems, p. 140
 * Chapter 11 Review and Test, p. 146-148
 * Gizmo Correlation:
 * 7.G.6
 * Area of Parallelograms-Activity A
 * Examine and manipulate the graph of a parallelogram or triangle and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation.
 * Rectangle: Perimeter and Area
 * Resize a rectangle and compare its length, width, and area.
 * // Teaching the Common Core Math Standards with Hands-On Activities, //
 * 7.G.6 See Lesson 5-1
 * **Highly Recommended:** See Lesson 5-1
 * JBHM 7th, GP 3, p. 105-160
 * Glencoe 7th Grade //Mathematics Application and Concepts Course 2//, Chapter 11-7, p. 498-500
 * Glencoe Pre-Algebra, Chapter 3, p. 132-135
 * Create a puzzle with unit vocabulary words.


 * Diverse Learners **
 * Odyssey (teacher discretion)
 * Skills Tutor (teacher discretion)
 * Math Cool Mod 13.2


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

Compoiste Figures = Complex Figures
 * __ 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’s 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 annotated 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 Versa Tiles
 * Cross Sections
 * Slicing Sections
 * String
 * Modeling Clay
 * Grid paper
 * Nets
 * http://www.learner.org/courses/learningmath/geometry/session9/part_c/index.html


 * __ Games __**
 * @http://www.mathchimp.com/7thGrade.php
 * [] A variety of games covering many math topics
 * []


 * **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
 * @https://www.teachingchannel.org/videos/visualizing-geometry-lesson

Students will practice finding the Circumference, Volume, and Surface Area of given shapes/figures This lesson will help the students with the formula for lateral area of a prism While looking at geometric shapes in sports, students wll determine whether to find the area or the perimeter for each problem set before them. I have included a football field and a basketball court for challenges. Some sildes require more higher level of learning and more challenging Bloom's Taxonomy questions. This lesson activity provides introduces and provides practice in calculating the area of various shapes. @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. 6 Circumference, Volume, Surface Area
 * 7.G. 6 Surface Area of Prisms
 * 7.G. 6 Should I Cover It Up…Or Go Around It?
 * 7.G. 6 Measurement Part 1: Area
 * Smart Board rational number lessons.
 * Rational numbers Smart Board lessons

__ @http://www.shodor.org/interactivate/guide/ __
 * __ Other Activities, etc. __**
 * Puzzle Maker
 * @http://www.discoveryeducation.com/free-puzzlemaker/?CFID=1276695&CFTOKEN=75709576
 * // 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.

__ Activities and tools: __ @http://www.shodor.org/interactivate/activities/

Language Arts ||=  ||=   ||= Week 1 ||= Week 2 ||= Week 3 ||= Week 4 ||= Week 5 ||= Week 6 || 7 Matrix ||= Accelerated 7 Matrix ||= Week 1 ||= Week 2 ||= Week 3 ||= Week 4 ||= Week 5 ||= Week 6 || Home K-2 ||= Home 3-6 ||= Home 6-8 ||= Unit 1 ||= Unit 2 ||= Unit 3 ||= Unit 4 ||= Unit 5 ||= Unit 6 ||
 * = English
 * = Math ||= [[image:commoncorepcssd6/Actions-insert-table-icon.png link="@http://inst.pcssd.org/math/CCSS/7/Math7TeachingMatrix.xls"]]
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