7.3.8Ma

** Grade: 7 Unit: 3 Week: 8 Dates: 1/14 – 1/18 **
 * Content: Problem Solving Connections and Unit Closure **


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


 * Essential Questions: **
 * What are the similarities and differences between the concepts of ratios, rates, and proportions?
 * How can you use proportional relationships of tables, equations and graphs to solve real-world and mathematical problems?
 * How do you use mutli-step equations to solve real-world and mathematical problems?
 * How can you solve real-world and mathematical problems involving expressions, equations, inequality with rational numbers with and without percentages?


 * Standards: **
 * ** 7.EE.1 ** Use properties of operations to generate equivalent expressions. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
 * ** 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.”
 * ** 7.EE.3 ** Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations as strategies to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
 * ** 7.EE.4a ** Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
 * ** 7.RP.2b ** Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
 * ** 7.RP.1: ** Analyze proportional relationships and use them to solve real-world and mathematical problems. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks ½ miles in each ¼ hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.
 * ** 7.RP.2a ** Decide whether two quantities are in a proportional relationship, e.g.. by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
 * ** 7.RP.2b ** Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
 * ** 7.RP.2c ** Represent proportional re lationships by equations For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn..
 * ** 7.RP.2d ** Explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate
 * ** 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.


 * Objectives: **
 * The student will solve real-world and mathematical problems involving the objectives found in Units 2 and Unit 3 by completing the end of unit Problem Solving Connections. (OnCore p. 51 and 81)
 * The student will assess their understanding of the objectives by complete Unit 2 and Unit 3 Test Prep.


 * Assessment: **
 * Product **
 * Problem Solving Connections pp. 51-54 and 81-84
 * Unit 2 and 3 Assessmenst pp. 55 -56 and 85-86
 * Each student will individually set up and solve a travel problem dealing with a weekend trip to see the Arkansas Razorback football game where they go through the complete process used in their group scenario.
 * They will list the number of people going with them and will work out the details of cost for travel, food, tickets to see the game,hotel expenses (two-nights), any other activity or expense they want to include with the cost. //All sale tax will be figured at 8.25%.//


 * Key Questions **
 * Any of those listed for Units 2 and 3. (See Weekly Questions)


 * Observable Student Behaviors (Performance) **
 * Completed Products as listed above.

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 **

Negative Numbers Positive Numbers Terminating Decimals Repeating Decimals Associative property of addition Commutative property of addition Associative property of multiplication Commutative property of multiplication Identity property of addition Identity property of multiplication Order of operations Distributive property of multiplication over addition ||
 * Vocabulary: **
 * ** Math ** ||
 * Rational Numbers

Gizmo Correlation
 * Suggested Activities ** :
 * // Houghton Mifflin On Core Mathematics Middle School // Grade 7
 * Unit 2, p. 51-56
 * Unit 3, p. 81-86
 * ABC //Mastering the Common Core in Mathematics// (Uncompleted Assignments)
 * Listed under Unit 2 and Unit 3
 * High Recommended:
 * Listest under Unit 2 and Unit 3


 * Diverse Learners **
 * Odyssey (teacher discretion)
 * Skill Tutor (teacher discretion)
 * Math’scool: Listed under Unit 2 and Unit 3
 * Algebra’scool: Listed under Unit 2 and Unit 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.)

** 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 ||   ||
 * Terminology for Teachers: **
 * || ** Multicultural Concepts **
 * Lesson Plan in Word Format** (Click Cancel if asked to Log In)


 * 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 annontated Lists of Children's Literature including the math concepts and grade levels. 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 **
 * ** 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

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. __ http://www.shodor.org/interactivate/activities/AlgebraFour/ __
 * 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:
 * Related Topics: ** addition, arithmetic, assessment, division, integers, multiplication, negative number, positive number, positive part of the operand, subtraction, whole numbers


 * 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

http://www.math-play.com/Algebraic-Expressions-Millionaire/algebraic-expressions-millionaire.html This Algebraic Expressions Millionaire Game can be played online alone or in two teams. For each question you have to identify the correct mathematical expression that models a given word expression. You could also use it as classroom challenge and have students write their answers on white board and check.
 * SMART Board Lesson, Promethean Lessons **
 * ** ALGEBRAIC EXPRESSIONS MILLIONAIRE **
 * __ Smartboard Resource Website __ Smartboard lesson search engine

__ http://www.shodor.org/interactivate/guide/ __ @http://alex.state.al.us/lesson_view.php?id=23865
 * 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.
 * It’s a Party! Solving Multi-step Equations

Language Arts ||=  ||=   ||= Week 1 ||= Week 2 ||= Week 3 ||= Week 4 ||= Week 5 ||= Week 6 || Week 7 || Week 8 || 7 Matrix ||= Accelerated 7 Matrix ||= Week 1 ||= Week 2 ||= Week 3 ||= Week 4 ||= Week 5 ||= Week 6 || Week 7 || Week 8 || 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"]]
 * = [[image:PCSSDlogo.JPG link="commoncorepcssd/PCSSD"]]