7.5.2Ma


 * Grade: 7 Unit: 5 Week:2 **
 * Content: Problem solving connections (Unit 4 and Unit 5) **
 * Dates: 3/11/2013 – 3/14/2013 (4 days) **

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

How is geometry applied and used in solving problems?
 * __ Essential Questions __**** : **

.
 * __ Standards __**
 * ** 7. G.1 Solve ** problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
 * ** 7. G.2 Draw ** (freehand, with ruler and protractor, and with technology) geometric shapes 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.
 * ** 7. G.3 ** Describe the two-dimensional figures that results from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
 * ** 7. G.4 ** . Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
 * ** 7. G.5 Use ** facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to solve simple equations for an unknown angle in a figure
 * ** 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 students will adapt their understanding of geometric mathematics in problem solving situations.


 * __ Assessment __**** : **
 * Product: **
 * Completion, display and/or presentation of Zoo project
 * Problem Solving Connections Unit 4 and Unit 5


 * Key Questions **
 * Any of those listed for Units 4 and 5 (See Weekly Questions)

The students can explain, display, and apply the geometric concepts for this grade level.
 * Observable Student Behaviors (Performance) **

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 ** ||
 * See geometry lessons ||

Gizmo Correlation See List with Unit Weekly plan
 * __ Suggested Activities __** :
 * // Houghton Mifflin On Core Mathematics Middle School // Grade 7 Unit 3-3, p. 65-68
 * Problem Solving Connections Unit 4, Buying a Home, p. 103-106
 * Problem Solving Connections Unit 5, Ramp Up!, p. 131 - 134
 * ABC //Mastering the Common Core in Mathematics// Chapter 13.11, p.173
 * http://illustrativemathematics.org/standards/k8
 * As indicated in corresponding lessons
 * // Teaching the Common Core Math Standards with Hands-On Activities, //
 * As indicated in corresponding lessons


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


 * __ Homework __**** : ** (Teacher Discretion)


 * @http://www.kutasoftware.com/free.html To print assignment on a variety of topics.
 * See appropriate Glencoe On Core, JBHM and ABC Materials under Suggested Activities
 * Exit Slip (Question or problem to answer before leaving class that will help guide instruction for the following day.)


 * __ 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 ||
 * ** Multicultural Concepts **

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

**__ Resources __**** : **
 * __ Professional Texts: __**


 * __ Literary Texts __**

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
 * ** 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) **

@http://sci.tamucc.edu/~eyoung/literature.html
 * ** Miscellaneous Math and Children's Literature **


 * __ Informational Texts __**
 * __ Art, Music, and Media __**


 * __ Manipulatives __**
 * Versa Tiles
 * Two-sided Counters
 * Hands-on equations
 * Algebra tiles
 * Geoboard

**__ 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

Students have a bit of background knowledge on similar figures. This lesson takes their knowledge and applies it to the real world and how we use proportions and similar figures. The objectives are to read and to interpret maps and scales. Also, it is to use scale drawings to solve problems 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. Describe, analyze and reason about the properties of rectangular prisms. Contruct rectangular prisms and flat patterns using a variety of materials and tools. Students will practice finding the Circumference, Volume, and Surface Area of given shapes/figures. Formula for area of a circle and how to use a grid and squares to check reasonableness or answer. 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 __**
 * 7G. 1 Similar Figures, Indirect Measurement and Scale Drawings
 * 7.G. 1 Scale Drawing
 * 7.G.2 All About Triangles
 * 7.G.2 Triangle Inequalities
 * 7. G. 3 Rectangular Prisms
 * 7. G. 4Circumference, Volume, Surface Area
 * 7. G. 4 Area of a Circle
 * 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/ __
 * __ Other Activities, etc. __**
 * @http://www.mathgoodies.com/lessons/vol5/division.html
 * @http://www.math.com/school/subject1/lessons/S1U1L12GL.html
 * // 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.

@http://www.shodor.org/interactivate/activities/ @http://www.ixl.com/math/grade-5/radius-diameter-circumference-and-area-of-a-circle []
 * __ Activities and tools: __**
 * Thinkfinity Links: Search by Common Core Standards/Seventh Grade/Math Often students are confused about ‘where to start’ when solving a multi-step equation. In this lesson the equation is labeled as a ‘party’. The 'host' is labeled (x) with remaining operations being labeled according to their relationship to the host (friends, family, acquaintances, etc...). Technology assignments are used as one method to assess student understanding.//This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.//
 * Thinkfinity Links: Search by Common Core Standards/Seventh Grade/Math @http://www.thinkfinity.org/state-standards-search
 * Website tool: @http://curvebank.calstatela.edu/circle/circle.htm
 * The Area of a Circle-The method of rearranging @http://www.themathpage.com/aTrig/area.htm
 * Website tools:

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