Time Frame
4 class periods of 45 minutes each
Life Skills
- Thinking & Reasoning
- Communication
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:
- Hands-on 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.
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 problem-solvers 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 follow-up worksheet for drawing conclusions.
Strategies for Diverse Learners
Assessment Plan
- Classroom and/or homework worksheets
- Quiz
Created: 10/02/2007
Updated: 02/05/2018
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