7_2_1Ma


 * Grade: 7 Unit: 2 Week: 1 Dates: 10/1 -10/5 **
 * Content: Algebraic Expressions **


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

How are algebraic expression written, interpreted, simplified, and evaluated?
 * __ Essential Questions __**** : **


 * __ 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.


 * __ Objectives __**** : **
 * The student will define, apply, and use algebraic vocabulary.
 * The student will translate verbal statements to algebraic expressions and algebraic expression to verbal statements.
 * The student will evaluate algebraic expressions.
 * The student will write equivalent algebraic statement by combining like terms and/or using the distributive property.
 * The student will model a factorable algebraic expression.

Mathematical Practice #8, look for and express regularity in repeated reasoning, would be appropriate with combining like terms and the distributive property. During this unit, students will be writing expressions and equations, check answers for reasonability, and looking for shortcuts as they simplify expressions. After this lesson, seven of the eight Mathematical Practices, should be part of the student’s approach to learning and expression mathematics.
 * __ Reflections and/or Comments from your PCSSD 7th Grade Curriculum Team: __**



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 __**

Students continue to use properties that were initially used with whole numbers and now develop the understanding that properties hold for integers, rational and real numbers.
 * Taken from __Ohio Dept of Education Mathematics Model Curriculum 6-28-2022__ **

Provide opportunities to build upon this experience of writing expressions using variables to represent situations and use the properties of operations to generate equivalent expressions. These expressions may look different and use different numbers, but the values of the expressions are the same.

One method that students can use to become convinced that expressions are equivalent is by substituting a numerical value for the variable and evaluating the expression.

For example: Is 5(3 + 2x) equal to 53 + 52x? Let x = 6 and substitute 6 for x in both equations. 5(3 + 26) = 53 + 526 5(3 + 12) = 15 + 60  5(15) = 75  75 = 75

Provide opportunities for students to use and understand the properties of operations. These include: the commutative, associative, identity, and inverse properties of addition and of multiplication, and the zero property of multiplication. Another method students can use to become convinced that expressions are equivalent is to justify each step in the simplification process with an operation property.


 * __ Assessment __**** : **
 * Product **
 * The students will create two origami fortune tellers; see @http://www.dltk-kids.com/world/japan/mfortune-teller.htm for the construction procedure. Use the word up, down, left, and right for the outside labels.
 * The students will design and write eight algebraic statement (example: twice the sum of 4 and x) on the outside triangles and the corresponding algebraic expressions (example: 2(4 + x)) on the inside triangles.
 * The students will design and write eight algebraic expressions that can be simplified by combine like terms and/or distributive property (example: 2(x + 3) -1)) and the corresponding simplified expressions (example: 2x + 5) on the inside triangles.
 * Allow children time to play with each other. (Sample instruction for playing is located, Teaching the Common core Math Standards with Hands-On Activities, p. 21)


 * Key Questions **
 * What words can be used to indicate addition, subtraction, multiplication and division?
 * What are some key words or phrases that denote the usage of parenthesis?
 * How do you define, explain, and use the algebraic phrase //like terms//?
 * How do you use the commutative, associative, and distributive property to simplify expressions?


 * Observable Student Behaviors **
 * The student can convert word phrases to algebraic expressions and vise versa.
 * The student can simplify or expand an algebraic expression using like terms and/or the distributive properties.

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 __**** : **

Like terms Combining like terms Factors Common factor Factoring expressions Simplified expressions Distributive properties Commutative properties Associative properties Identity properties Equivalent Degree Leading coefficient Base Exponent ||
 * ** Math ** ||
 * Numerical expressions Algebraic expressions Constant Variables Coefficient Term

Suggested Activities:

 * Houghton Mifflin On Core Mathematics Middle School Grade 7 Unit 3-1, p. 59-62
 * ABC Mastering the Common Core in Mathematics
 * Vocabulary Chapter 8-1, p. 89
 * Evaluate an Expression Chapter 8-2, p. 90
 * Translation of Expressions Chapter 8-3, p. 91-94
 * Combining Like Terms Chapter 9-3, p. 102
 * Distributive Property Chapter 9.4, p.102-103
 * Teaching the Common Core Math Standards with Hands-On Activities,
 * 7.EE.1 – Activity p. 104

Highly Recommended

 * ======@http://illustrativemathematics.org/illustrations/643 (7.EE.1)======

=
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. ======
 * JBHM 8th, GP 2, p. 1-28
 * Glencoe 7th Grade PreAlgebra, Chapter 1-3, p. 17-21
 * Glencoe Algebra I, Chapter 1-1, p. 6-9


 * Diverse Learners **
 * Odyssey (teacher discretion)
 * Skill Tutor (teacher discretion)
 * Algebra’scool: Unit A Mod 1


 * __ 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 __**** : **

||  ||
 * ||  ** 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

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


 * __ Resources __**** : **


 * __ Professional Texts: __**


 * __ Literary Texts __**
 * ** 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.
 * Click on the following link, __@http://libguides.nl.edu/mathinchildrenslit__, and then look under __Math and Literature Bibliographies__.
 * ** Middle & High School: Literature in Mathematics **
 * Many books include websites with __lesson ideas__
 * __@http://sci.tamucc.edu/~eyoung/middle_school_literature.html__
 * ** Lesson Plans for Using Literature in Middle and High School Mathematics (developed by Leonor and edited by Elaine) **
 * __@http://sci.tamucc.edu/~eyoung/Literature%20webpages/Leonor/index.html__
 * ** Miscellaneous Math and Children's Literature **
 * __@http://sci.tamucc.edu/~eyoung/literature.html__


 * __ Informational Texts __**


 * __ Art, Music, and Media __**


 * __ Manipulatives __**
 * Versa Tiles
 * Index cards with Expressions
 * Operation Cards
 * Algebra Tiles

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.
 * __ 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 ** 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.
 * Discovery Learning @http://www.discoveryeducation.com/
 * The Teaching Channel
 * 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.
 * __ Smartboard Lesson, Promethean Lessons __**
 * ** ALGEBRAIC EXPRESSIONS MILLIONAIRE **
 * __ SMART Board Resource Website __


 * __ Other Activities, etc __**.

Language Arts ||=  ||=   ||= Week 1 ||= Week 2 ||= Week 3 ||= Week 4 ||= Week 5 ||= Week 6 || 7 Matrix ||= Accelerated 7 Matrix ||= Week 1 ||= Week 2 ||= Week 3 ||= Week 4 ||= Week 5 ||= Week 6 || 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"]]