7.3.5Ma


 * Grade: 7 Unit: 3 Week: 5 Dates: 12/10 – 12/14 **


 * Content: Rewriting Expressions **


 * Theme Essential Question: **
 * How can you analyze proportional relationships and use them to solve real-world and mathematical problems? **

How can you rewrite expressions to help you solve problems?
 * Essential Questions: **


 * Standards: **
 * ** 7.RP.3 ** Analyze proportional relationships and use them to solve real-world and mathematical problems. Use proportional relationships to solve multistep ratio and percent problems.
 * ** 7. EE.2 ** Use properties of operations to generate equivalent expressions. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”


 * Objectives: **
 * The student will explain the rational and generate expressions to calculate markups and markdowns by adding ±1 to the percentage.
 * The student will understand and apply the strategy of rewriting an expression in different forms in a problem context in order to shed light on the problem and how the quantities in it are related.


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


 * Assessment: **
 * Product **
 * Provide students the opportunity to complete their portfolios. Students should present and/or display their work.


 * Key Questions **
 * How can rewriting expressions help you set up problems and facilitate their solutions?
 * When you multiply by a number greater than one, is the product more or less than the original number?

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. ||
 * Observable Student Behaviors **
 * Observation of student’s participation and products
 * ** Mathematical Practices **


 * Vocabulary: **


 * ** Math ** ||
 * See other lesson in this unit ||

Apply markups and discounts using interactive "percent rulers." Improve number sense for percents with this dynamic, visual tool. Reinforce the original cost (or original price) as the baseline for percent calculations. Find a part from the percent and whole, a percent from the part and whole, or a whole from the part and percent using a graphic model. 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.
 * Suggested Activities ** :
 * // Houghton Mifflin On Core Mathematics Middle School // Grade 7 Unit 3-2, p. 63-64
 * ABC //Mastering the Common Core in Mathematics//
 * Changing Algebra Word Problems to Algebraic Equations, Chapter 8.5, p. 96
 * Chapter 8 Review and Test, p. 97-98
 * Gizmo Lessons
 * Percent of Change
 * Percents and Proportions
 * //Teaching the Common Core Math Standards with Hands-On Activities,//
 * // 7.PR.3 – Activity p.86 //
 * ** Highly Recommended **** (Use this time to complete prior problems) **


 * Diverse Learners **
 * Odyssey (teacher discretion)
 * Skill Tutor (teacher discretion)


 * Homework: ** (Teacher Discretion)
 * [] 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 ||   || **Lesson Plan in Word Format** (Click Cancel if asked to Log In)
 * || ** Multicultural Concepts **


 * Resources: **


 * Professional Texts: **

__ http://sci.tamucc.edu/~eyoung/measure_literature.html __ 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. 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 **
 * Measurement and children’s Literature/Ratios
 * ** Mathematics in Children's Literature: **
 * ** 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 **
 * Versa Tiles
 * Sale Papers/Ads
 * Chart Paper
 * Markers


 * 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
 * Connect Four game format:
 * Students play a generalized version of connect four, gaining the chance to place a piece on the board by answering arithmetic questions (addition, subtraction, multiplication, division). Parameters: time, difficulty level, types of questions. Arithmetic Four is one of the Interactivate assessment games.
 * ** Related Topics: ** addition, arithmetic, assessment, division, integers, multiplication, negative number, positive number, positive part of the operand, subtraction, whole numbers

https://www.teachingchannel.org/videos?categories=topics common-core
 * 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.


 * SMART Board Lessons, Promethean Lessons **
 * __ Smartboard Resource Website __ Smartboard lesson search engine.


 * Other Activities, etc **.
 * @http://www.uen.org/Lessonplan/preview.cgi?LPid=19833
 * http://www.uen.org/Lessonplan/preview.cgi?LPid=23377
 * Black Friday Savings
 * @http://www.yummymath.com/2011/black-friday-savings/
 * Algebra Magic
 * @http://www.thefutureschannel.com/hands-on_math/algebra_magic.php
 * Activities and tools: @http://www.shodor.org/interactivate/activities/
 * // 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/guide/ __

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