Wendy Carlson
Introduction
Standards 
Objectives
Activities
Assessment 
Results
Resources
Is your final answer positive (+) or 
negative (-) ??
 

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Introduction
In this lesson students are to first use interactive spreadsheets on addition, subtraction, multiplication, and division to develop a theory on what the rules are for each one.  They are then to practice what they believe to be true on a variety of online programs and tutorials, until they are certain that they can explain to someone else how to compute with integers.  The culminating activity is to make a powerpoint presentation explaining what they have learned. 
Subject: Math
Topic: Computing with integers
Grade Level: 7th grade
Student Lesson name and URL:ctap295.ctaponline.org/~wcarlson/student/
Standards Addressed

Seventh Grade

Mathematics: Number Sense
1.0  Students know ...(how to) compute with, rational numbers expressed as...

1.2  Add, subtract, multiply, and divide integers
2.0 Students use strategies, skills, and concepts in finding solutions:
2.4  Make and test conjectures...
Instructional Objectives
Students should be solve problems in addition, subtraction, multiplication and division of integers. 
Students should make and test conjectures as a strategy in finding the solution to problems using integers.
  1. Students shall use spreadsheets  designed to add, subtract, multiply, and divide integers as a means of testing if their conjectures are correct when they utilize the spreadsheets to manipulate negative numbers with negative numbers, and negative numbers with positive numbers.
  2. Students shall practice their conjectures on a variety of internet activities. These should enable them to demonstrate their skill in finding solutions in a variety of integer problems. 
  3. Students will be able to demonstrate an ability to add, subtract, multiply, and divide two negative integers and a positive and a negative integer correctly in 80% of their attempts on a written exam.
  4. Students will be able to demonstrate their understanding of the rule for adding two negative integers and a positive and a negative integer, in a powerpoint presentation explaining what the rule, receiving scores of accomplished or exemplary. (3 or 4)
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Student Activities
Students shall use the following spreadsheets to test conjectures in developing rules for the addition, subtraction, multiplication, and division of integers.  They are to develop rules in a variety of combinations using both positive and negative numbers.

Use the Excel Worksheet 1 to determine what the rules are for addition of positive and negative integers.
click on link 

Use the Excel Worksheet 2 to determine what the rules are for subtraction of positive and negative integers.

click on link 

Use the Excel Worksheet 3 to determine what the rules are for multiplication of positive and negative integers.

click on link 


 

click on link 

Enabling Activities
Students will use each of the following internet activities to double-check their grasp of the concepts of adding, subtracting, multiplying, and dividing of integers.  Tutorials are also available for those who still are having trouble.

Interactive Integer activities and help pages:http://www.mathwizz.com/integers/index.htm

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Assessment

Pre-test document file
Pre-Test Answer file
Post-test document file
Post-Test Answer file
Rubric for the culminating activity


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Results
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Pre-test data assessment
Post-test data assessment
Culminating activity data assessment
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Web Resources & Supplementary Materials

Introductory Activity
Spreadsheet on Addition: Excel Worksheet 1
Spreadsheet on Subtraction: Excel Worksheet 2
Spreadsheet on Multiplication: Excel Worksheet 3
Spreadsheet on Division: Excel Worksheet 4
 

Enabling Activity

Interactive Integer activities and help pages: http://www.mathwizz.com/integers/index.htm

Culminating Activity
Students will deliver a presentation on powerpoint to display their understanding of the rules for adding, subtracting, multiplying, and dividing integers. They will also complete a written post-test.

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School Name: Barrett Middle School
School Location: Carmichael, California
Wendy Carlson: wcarlson@sanjuan.edu
Last Revised: 08/06/00