Chapter 1: Number Sense Section 1: Integers
Topics in Algebra 1 © 2001 Texas Instruments Teacher Notes 1-7
Common Student Errors
(continued)
Pattern Development for Multiplication and Division
(continued)
Investigation 2
:
What is the product of two negative numbers?
Start with the last number sentence from Investigation 1 (3
×
M
3 =
M
9).
Keep decreasing the first term by 1 to create the sequence of
multiplication values shown to the right. Notice that the values on the
right side of the number sentences increase by 3.
Observation
:
The product of two negative numbers is positive.
3
×
M
3 =
M
9
2
×
M
3 =
M
6
1
×
M
3 =
M
3
0
×
M
3 = 0
M
1
×
M
3 = 3
M
2
×
M
3 = 6
M
3
×
M
3 = 9
…
Investigation 3
:
What are the division rules for multiplying signed
numbers?
Observation:
Division rules are developed using multiplication as the
inverse operation. The rules are similar.
M
6
÷
3 =
M
2 since
3
×
M
2 =
M
6
M
6
÷
M
2
=
3 since
M
2
×
3 =
M
6
Student Worksheet Notes with Answers
Overview
Tell students:
1. How to find the
Overview
, if necessary.
2. How to navigate the application, if necessary.
3. To scroll through the
Overview
on the calculator. Point out new terms, definitions, and
concepts, and tell students to look for them as they go through the
Overview
.
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