Working with Integers lesson, this can be tweaked.

A PowerPoint that can be tweaked to be used as instruction for online sessions.

1. Multiplying Integers

2. OBJECTIVES
-Adding and subtracting integers (recap)
-Tell where and how in our world we use
integers
-Multiply directed numbers or integers
using the rules

3. TRANSLATE TO INTEGERS
■1. Which integer represents this scenario?
climbing 4 flights of stairs

■2. Which integer represents this scenario?
coupon for $1 off

■3. Which integer represents this scenario?
1-milliliter increase in volume

4. .
How well do you understand?
I don’t
understand
RED
I nearly
understand
AMBER
I fully understand
GREEN

5. TRANSLATE TO INTEGERS
■4. Which integer represents this scenario? losing 2
buttons off of your jacket

■5. Which integer represents this scenario? 3 feet
above sea level

■6. Which integer represents this scenario? 5
degrees below zero

■7 . Which integer represents this scenario? a plant
grows 6 centimeters taller

6. .
How well do you understand?
I don’t
understand
RED
I nearly
understand
AMBER
I fully understand
GREEN

7. TRANSLATE TO INTEGERS
■8. Write an integer that represents this
scenario: $7-off coupon

■9. Write an integer that represents this
scenario: a puppy grows 4 centimeters
longer

■10. Write an integer that represents this
scenario: 6 degrees warmer

8. .
How well do you understand?
I don’t
understand
RED
I nearly
understand
AMBER
I fully understand
GREEN

9. A gopher was digging 8 inches below ground.
To avoid a tree root, it dug 3 inches deeper.
What is the position of the gopher now relative
to the surface

10. 1) The afternoon temperature in Biscoff Bay was
– 2°F. By midnight, a warm front moved in and the
temperature rose to 11°F. What was the change in
temperature from afternoon to midnight?
HOMEWORK

11. 2. A guppy was swimming 8 feet below the surface of the
river. It swam down 6 more feet to escape a large, hungry
fish. What is the position of the guppy now relative to
the surface?
HOMEWORK

12. 3. A submarine was situated 450 feet below sea level. If it
descends 300 feet, what is its new position?
HOMEWORK

13. 4. In Buffalo, New York, the temperature was
-
14°F in the
morning. If the temperature dropped 7°F, what is the
temperature now?
HOMEWORK

14. 5. Lilly asked Roy to purchase 4 pairs of blue jeans at $32
each.
a) How would we represent this information using
integers?
b) How much money does Lilly now owe Roy?
HOMEWORK

15. 4. Complete the following questions the first one is done
for you

1)(5) (-8) = 5 x -8 = - 40

a)(
-
2) (
+
7) = ?

b)(
-
8) (
-
9) = ?

c)(
+
9) (
+
7) = ?

d)(
+
16) (
-
3) = ?

e)(
+
4) (
-
5) (
-
2) = ?
HOMEWORK

16. .
How well do you understand?
I don’t
understand
RED
I nearly
understand
AMBER
I fully understand
GREEN

17. Multiplying Integers

18. MULTIPLICATION WITH
INTEGERS

■Alicia owes $6 to each of 4 friends. How
much money does she owe?
■Solution: The problem above can be solved
using integers.

19. MULTIPLICATION WITH
INTEGERS

■Solution: The problem above can be solved
using integers.
■Owing $6 can be represented by
-
6. Thus
the problem becomes:
■(
-
6) (
+
4)
■The parentheses indicate that these
integers are being multiplied. In order to
solve this problem, we need to know the
rules for multiplication of integers.

20. Rule 1: The product of a positive integer
and a negative integer is a negative integer.

Rule 2: The product of two negative
integers or two positive integers is a
positive integer.

We can now use Rule 1 to solve the problem
above arithmetically:
(
-
6) (
+
4) =
-
24. So Alicia owes $24.

21. MULTIPLICATION WITH
INTEGERS

■.

22. MULTIPLICATION WITH
INTEGERS

■.

23. MULTIPLICATION WITH
INTEGERS

■.

24. MULTIPLICATION WITH
INTEGERS

■.