The document contains notes from a math lesson on multiplying integers:
- It reviews rules for determining the sign of products and completes a table showing the results of multiplying integers from -5 to 5.
- The table is divided into quadrants based on the signs of the integers, and patterns are noticed such as negatives in quadrants 2 and 4 and positives in 1 and 3.
- Questions are asked about using the table to determine product signs and describing integer scenarios for each quadrant.
6. Module 2 Lesson 11.notebook
6
November 17, 2014
Part B: Complete quadrant 2 of the table.
What relationships or patterns do you notice between the
products (values) in quadrant two and the products (values) in
quadrant 1?
What relationships or patterns do you notice between the
products (values) in quadrant two and the products
(values) in quadrant four?
a.
Use what you know about the products (values) in
quadrant one, two, and four to describe what quadrant
three will look like when its products (values) are entered.
b.
c.
5 10 15 20 25
4 8 12 16 20
3 6 9 12 15
2 4 8 10
1 2 3 4 5
1
2
3
4
5
2
4
6
8
10
3
6
9
12
15
4
8
121620
5
10
15
2025
5
4
3
2
1
5
4
3
2
1
10
8
6
4
2
1512
9
6
3
20
1612
8
4
252015
10
5
S.58
7. Module 2 Lesson 11.notebook
7
November 17, 2014
Part C: Complete the quadrant 3 of the table.
Refer to the completed table to help you answer the following questions:
f. Is it possible to know the sign of a product of two
integers just by knowing in which quadrant each integer
is located? Explain.
5 10 15 20 25
4 8 12 16 20
3 6 9 12 15
252015
10
20
1512
8
9
6
5
4
3
1612
g. Which quadrants contain which values? Describe
an integer game scenario represented in each
quadrant. 1 2 3 4 5
2 4 8 10
1
2
3
4
5
2
4
6
8
10
3
6
9
12
15
4
8
121620
5
10
15
2025
10
5
8
4
5
4
6
3
3
4
2
2
2
1
1
5 4 3 2 1
10 8 6 4 2
15 12 9 6 3
20 16 12 8 4
25 20 15 10 5
S.58
10. Module 2 Lesson 11.notebook
November 17, 2014
10
CLOSING:
· How do we determine if the product of two signed numbers will be
positive or negative?
· Why does the product of two negative values result in a positive
value? Explain using the Integer Game.
