7_2_4Ma


 * Grade: 7 Unit: 2 Week: 4 Dates: 10/22 – 10/26 **
 * Content: Solving Two-Step Inequalities **


 * __ Theme Essential Question __**** : **
 * How can you use numerical and algebraic expressions, equations, and inequalities to solve real-life mathematical problems? **


 * __ Essential Questions __**** : **
 * How does the solution of an inequality, in the context of a problem, represent feasible outcomes?
 * Why does the inequality change from greater to least or least to greater when multiplying of dividing a negative number?


 * __ Standards __**** : **
 * ** 7. EE.4b ** Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, as a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.


 * __ Objectives __**** : **
 * The student will solve inequalities that involve multiple operations.
 * The student will graph the solution set for given inequalities.
 * The student will provide a viable argument to justify the inequality symbol changing directions when multiplying or dividing by a negative number.
 * The student will solve real-world problems using inequalities.

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/**]
 * __ Background Information __**


 * __ Assessment __**** : **
 * Product **
 * The students will be designing two separate “I have… who has..” card game that will include problems from unit-lesson 2-2 to unit-lesson 2-4 with supporting word problems. The first game will deal with equalities and the second will deal with inequalities.
 * Students should be placed into small groups.
 * Each group is to design several cards representing the work addressed during these lessons.
 * The games are exchanged between groups and played.


 * Key Questions **
 * How do you solve inequalities that involve multiple operations?
 * How do graph the solution set of the inequality and interpret it in the context of the problem?
 * How do describe the solution set in the context of a problem?
 * How do you justify changing the direction of the inequality symbol when multiplying or dividing by a negation number?


 * Observable Student Behaviors (Performance) **
 * The student can solve multiple operations inequalities and explain the feasibility of the solution.
 * The student can graph the solution to multiple operations inequalities and explain the feasibility of the solution.
 * The student can provide a viable argument to justify the direction change of an inequality symbol when multiplying or dividing by a negation 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. ||
 * ** Mathematical Practices **


 * __ Vocabulary __**** : **

Algebraic expressions Inequalities Inequality signs Inverse operations Solution set ||
 * ** Math ** ||
 * Numerical expressions

Gizmo Solve a linear inequality. Graph the solution on a dynamic number line. Solve an inequality involving multiplication and division. Graph the solution on a number line @http://illustrativemathematics.org/illustrations/643 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 3-5, p. 73-76
 * ABC //Mastering the Common Core in Mathematics// Chapter 9-9, p. 109-110
 * Teaching the Common Core Math Standards with Hands-On Activities
 * 7.EE.4, Activity #2, Solving Inequalities, p.112
 * ** Solving Linear Inequalities using Addition and Subtraction **
 * ** Solving Linear Inequalities using Multiplication and Division **
 * ** Highly Recommended **
 * JBHM 8th, GP 2, p. 177-200
 * Glencoe 7th Grade //PreAlgebra//, Chapter 7-6, p. 355-359
 * Glencoe Algebra I, Chapter 6-1 to 6-2, p.316-331


 * Diverse Learners **
 * Odyssey (teacher discretion)
 * Skill Tutor (teacher discretion)
 * Algebra’scool Unit B, Mod 3


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


 * __ Resources __**** : **


 * __ Professional Texts: __**

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 __**
 * ** 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
 * 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
 * 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
 * __@http://www.shodor.org/interactivate/activities/AlgebraFour/__

** Videos ** 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
 * Discovery Learning @http://www.discoveryeducation.com/
 * The Teaching Channel


 * __ SMART Board Lessons, Promethean Lessons __**


 * __ Other Activities, etc. __**
 * @http://www.mathgoodies.com/lessons/vol5/division.html

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