Is your final answer positive (+)
or
negative ()
??
.


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.

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.

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.

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.

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)
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 doublecheck 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
Assessment
Pretest
document file
PreTest
Answer file
Posttest
document file
PostTest
Answer file
Rubric
for the culminating activity
Results
.
Pretest data assessment
Posttest data assessment
Culminating activity data
assessment
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 posttest.
School Name: Barrett
Middle School
School Location:
Carmichael,
California
Wendy Carlson:
wcarlson@sanjuan.edu
Last Revised:
08/06/00 