Life Skills:  Thinking & Reasoning
 Communication
Time Frame: 4 class periods that run 45 minutes each.


Summary: This lesson utilizes various activities to explore the concept of Combining Integers (often referred to as Adding & Subtracting integers). It incorporates multiple activites including:
 Handson Manipulatives
 Virtual Manipulatives
 Number Line Integer Operations
 Real World Applications with Integers
 Writing/Literacy
 Math Games
 Classroom/Homework Worksheets
 Formal Assessments
Each of these activities is designed to enhance the student understanding of basic integer operations.
Main Curriculum Tie: Mathematics Grade 6 6.NS.C Apply and extend previous understandings of numbers to the system of rational numbers. 5. Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in realworld contexts, explaining the meaning of 0 in each situation. Materials: Activity 1:
 Colored overhead "chips" (2 different colors to be used to represent different color beans)
 Red Beans (approx. 25 per student)
 White Beans(approx. 25 per student)
 Ziploc Bags(to store beans)
Activity 2:
 Ziploc Bags(to store game materials)
 Blank Dice  labeled with 3 sides negative & 3 sides positive (one per game)
Background For Teachers: This is an introductory unit designed to teach the addition & subtraction of integers through the concept of "combining terms."
These activities have been designed in a way to build conceptual undestanding through hands on experience and real world applications.
Student Prior Knowledge: Absolute Value
Opposites
Real Number Line
Intended Learning Outcomes:
 Develop positive attitudes toward mathematics, including the confidence, creativity, enjoyment, and perseverance that come from achievement.
 Become proficient problemsolvers by posing appropriate questions, selecting appropriate methods, employing a variety of strategies, and exploring alternative approaches.
 Think logically, using inductive reasoning to formulate reasonable conjectures and using deductive reasoning for justification, formally or informally.
 Cooperatively and independently explore mathematics, using inquiry and technological skills.
 Make connections between mathematical ideas, between mathematics and other disciplines, and to life.
 Communicate mathematics through writing, modeling, and visualizing, using precise mathematical language and symbolic notation.
Instructional Procedures: Activity 1: Combining Integers Using Beans
 This lesson incorporates the use of different colored beans as a manipulative to teach combining (adding & subtracting) integers.
 Combining positive integers
 Combining negative integers
 Combining positives & negatives
 Each section includes samples incorporating manipulatives (beans) as well as representational drawings.
 The lesson concludes with a discussion to aid the recognition of patterns discovered in this lesson.
 There are 4 assignment worksheets that can be used in class or as homework depending on the needs of each specific class. Typically we would spend a few days doing practice worksheets and examples in class in order to enhance student understanding of the concepts.
Activity 2: Integer Problems in a Real World Context
Activity 3: Online Game using Virtual Manipulatives: Circle Zero
Activity 4: Number Line Game: Beyond 10
 During this game, students move game pieces along a number line, competing to be the first one to cross over positive 10. This game is intended to reinforce the following concepts:
 Adding and subtracting integers
 Opposites
 Absolute Value
 Math Vocabulary
Lesson includes templates to play the game, student game recording worksheet, and a followup worksheet for drawing conclusions.
Attachments
Strategies For Diverse Learners:
Web Sites
Assessment Plan:
 Classroom and/or homework worksheets
 Quiz
Attachments
Author: Nicole Austin Christina Eischeid
Created Date : Oct 02 2007 10:22 AM
