Students will be able to identify the properties of equality for real numbers.  They will recognize and use properties of equality of real numbers as reasons to justify steps when solving equations through deductive/inductive reasoning.  Students will apply these properties to solve linear equations involving one-step, two-steps, multi-steps, and equations with variables on both sides. They will extend these solving processes to linear inequalities.  Literal equations will also be solved for given variables.  Equations and inequalities will be explored with written applications. Students will be able to solve linear systems of equations by graphing, the substitution method, and elimination method.

What property of equality of real numbers supports the step-by-step solution of this equation? 

How do I apply the properties of equality for real numbers to write my own step-by-step process for solving this equation?  this inequality? this literal equation?

Where is the point of intersection for this system of equations?

Name properties of equality for real numbers.

Property applications for algebraic proofs.

Property applications for solving linear equations with one variable and for solving linear inequalities with one variable.

Procedures for solving systems of linear equations.

Identify properties of equality for real numbers.

Justify steps in equation solving process.

Solve linear equations and linear inequalities.

Solve systems of linear equations.

Lesson 1:

Scissors for students to cut Sort Decks and zip-lock sandwich baggies are good to store sort decks in after the activity. 

Handouts (See Materials section of each lesson attached.)
  

Lesson 1:  Online links

http://www.softschools.com/quizzes/algebra/properties_of_equality/quiz1039.html - Properties of Equality Quiz

http://www.aaamath.com/pro74a-propertiesadd.html - scroll down to Practice – this is an online study/quiz tool for Commutative, Associative, Distributive and Additive Identity Properties

Lessons 3 and 6:

Scissors and glue sticks for Cut and Paste Activities of Linear Equations and Linear Inequalities

Lesson 2:
Handouts (See Materials section of each lesson attached.)

Lesson 2:  On-line links

http://mathnmind.com/PDF%20Files/Pre-Algebra/dzf.pdf http://www.thefutureschannel.com/algebra_real_world.php

http://www.math-play.com/Algebra-Math-Games.html

Lesson 3:

Handouts (See Materials section of each lesson attached.)

Lesson 3:  On-line links

http://www.thefutureschannel.com/algebra_real_world.php

http://www.math-play.com/Algebra-Math-Games.html

http://www.learner.org/workshops/algebra/workshop1/lessonplan2b.html

Lesson 4:
Handouts (See Materials section of each lesson attached.)

Lesson 4:  On-line links

http://www.thefutureschannel.com/algebra_real_world.php

http://www.sw-georgia.resa.k12.ga.us/Math.html#High%20School%20Graphic%20Organizers

Lesson 5: 
Handouts (See Materials section of each lesson attached.)

Lesson 5: On-line links

http://www.thefutureschannel.com/algebra_real_world.php

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=11131&MICROSITE=TI%20Math

http://www.sw-georgia.resa.k12.ga.us/Math.html#High%20School%20Graphic%20Organizers

Lesson 1:

Property Unit Assessment      

Property Unit Assessment Key

Lesson 2:

Solving One-Step Linear Equations Quiz    
Solving One-Step Linear Equations Quiz Answer Key    

Lesson 3:

Assessment Two Step Equations      

Key for Two Step Equation Assessment         

Lesson 4:

Assessment for Multi-Step Equations    

Key for Multi-Step Equations Assessment     

Lesson 5:

Assessment for Variables on Both Sides from Equation     

Key for Assessment for Variables on Both Sides from Equation     

Lesson 6:

Assessment for Solving Linear Inequalities    

Key for Solving Inequalities Assessment     

Assessment for Unit (Equations and Inequalities)        

Key for Assessment On Whole Unit         

Lesson 7:

Assessment of Solving Systems by Graphing    

Key for Graphing Systems Assessment    

Lesson 8:

Assessment of Substitution for Systems      

Key for Solving System of Equations by Substitution    

Lesson 9:   
Assessment of Elimination of Systems    

Key for Assessment of Solving System by Elimination    

Unit Assessment of Systems    

Key for Assessment of Solving System by Elimination    

Lesson 1:  Algebraic Proofs Set II and Algebraic Proofs Set II Answer Key

Lesson 2:  http://www.thefutureschannel.com/algebra_real_world.php Bank of Columbia Activity

Lesson 3:  Two Step Equation Cut and Paste and Key Two Step Equation Cut and Paste     

Lesson 4:  http://www.thefutureschannel.com/algebra_real_world.php  Mars Lag Activity

Lesson 5:  Linear Equations Cards and Linear Equations Cards Answer Key            

Lesson 6:  http://map.mathshell.org/materials/tasks.php?taskid=286&subpage=expert Best Buy Tickets Activity

Lesson 7:  Destination Worksheet     

Lesson 9:  Talk or Text Activity  http://illuminations.nctm.org/LessonDetail.aspx?ID=L766

The standard of Reasoning with Equations focuses on the students not only being able to solve linear equations, linear inequalities, and systems of linear equations but also being able to  understand the solving as a process of reasoning that can be explained.  Can the students solve the equations and inequalities for solutions?  Can they justify their reasoning? Can they explain it to others? Can they extend the reasoning through writing activities, graphing calculator explorations, on-line interactive practice, and on-line projects?

Lesson 1: Marketing Application

Lesson 2: Newspaper Carrier

Lesson 3: Sports

Lesson 4: Physics

Lesson 5: Geographer

Lesson 6:  Plumber

Lesson 7:  Technology Specialist

Lesson 8:  Pilot

Lesson 9: Salesperson