7.5.1Ma


 * Grade: 7 Unit: 5 Week:1 **
 * Content: Solving Volume Problems **
 * Dates: 3/4/2013 – 3/8/2013 **

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

How do you find the volume of a figure made up of cubes and prisms?
 * __ 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


 * __ Objectives __**** : **


 * The student will solve real-world and mathematical problems involving volumes dealing with cubes.
 * The student will solve real-world and mathematical problems involving volume of right prisms.
 * The student will solve real-world and mathematical problems involving composite solids.
 * The student will cultivate an understanding of volume as it is associated to unit cubes and the area of the base of the prism.

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/
 * __ Background: __**

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

The stable and feed storage areas will be cooled by using a special air-circulation system. Determine the volume that the special air-circulation system must handle. Prepare detail documentation of your calculations.
 * __ Assessment __**** : **
 * Product: **
 * ZOO TRAINER project continues:


 * Key Questions **
 * How does the study of cubes related to the calculation of volumes?
 * What is the meaning of cubic units?
 * How does the formula for a rectangular prism LxWxH relate to the basic formula for all prisms BxH?


 * Observable Student Behaviors (Performance) **
 * The student can find surface area of prisms.

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 ** ||
 * Cubes Volume ||


 * __ Suggested Activities __** :

This Gizmo provides you with two challenges. First, use blocks to build a figure with a given volume. Then, try to balance the blocks on a platform that sits on the tip of a cone. The dimensions of the platform can be adjusted, and blocks can be added or deleted by clicking on the model. (Student Exploration Sheet & Teacher Guide Available) Vary the height and base edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew prism or cylinder to the volume of a right prism or cylinder. **Highly Recommended:** @http://illustrativemathematics.org/illustrations/266 (G.6) 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
 * // Houghton Mifflin OnCore Mathematics Middle School // Grade 7
 * Unit 5-5, p. 127-130
 * Unit 5 Test Prep, p. 135-136
 * ABC //Mastering the Common Core in Mathematics//
 * Chapter 13.3, Understanding Volume, p. 162
 * Chapter 13.4, Volume of Cubes and Rectangular Prisms, p. 162
 * Chapter 13.5, Volume of Other Prisms, p. 165
 * Chapter 13.6, Volume of Pyramids (extension), p. 167
 * Chapter Review and test, p 173
 * Gizmo Correlation:
 * Balancing Blocks (Volume)
 * Prisms and Cylinders-Activity A
 * // Teaching the Common Core Math Standards with Hands-On Activities, //
 * 7.G.6, Activity: Let’s Build It, p. 127-128
 * JBHM 8th, GP 1, p. 325-342
 * Glencoe 7th Grade //Mathematics Application and Concepts Course 2//, Chapter 12-2, p. 520-521
 * Glencoe Pre-Algebra, Chapter 11-2, p. 563-567
 * Glencoe Algebra I, Chapter 8, p. 416
 * Create a puzzle with unit vocabulary words.


 * Diverse Learners **
 * Odyssey (teacher discretion)
 * Skills Tutor (teacher discretion)
 * Math Cool Mod 13.5 and 13.7


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


 * __ Terminology for Teachers __**** : **

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


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

@http://exchange.smarttech.com/details.html?id=1764f052-3804-448f-9f12-95bc5646a2ea @http://exchange.smarttech.com/details.html?id=050e54ad-0dea-4080-ae54-975d93487209 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.
 * __ SMART Board Lessons, Promethean Lessons __**
 * Smart Board rational number lessons
 * Rational numbers Smart Board 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

__ @http://www.shodor.org/interactivate/guide/ __ __Activities and tools:__ @http://www.shodor.org/interactivate/activities/
 * __ 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.

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