Name: ____________________________ Date:_________ Operations – Subtraction Myth PreAlgebra Consider that each pot of soup starts at room temperature. As we add hot chips (+1), the temperature rises one unit for each chip. As we add cold chips (-1) the temperature drops one unit for each chip. A temperature of -5 means the soup is 5 units below room temperature. A temperature of 5 means the soup is 5 units above room temperature. A temperature of 0 means the soup is at room temperature. 1 For each of the following pots of soup, write the integer that represents its current temperature at, above, or below room temperature after the chips have been put into the pot. Soup Pot A Current temp Soup Pot E Current temp Soup Pot B Current temp Soup Pot F Current temp Soup Pot C Current temp Soup Pot G Current temp Soup Pot D Current temp Soup Pot H Current temp 2 If your pot of soup had 10 hot chips and 15 cold chips would the soup be above or below room temperature? Explain how you know. Sheet # 03-07
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Name: ____________________________ Date:_________
Operations – Subtraction Myth PreAlgebra
Consider that each pot of soup starts at room temperature. As we add hot chips (+1), the temperature rises one
unit for each chip. As we add cold chips (-1) the temperature drops one unit for each chip.
A temperature of -5 means the soup is 5 units below room temperature.
A temperature of 5 means the soup is 5 units above room temperature.
A temperature of 0 means the soup is at room temperature.
1 For each of the following pots of soup, write the integer that represents its current temperature at, above,
or below room temperature after the chips have been put into the pot.
Soup Pot A
Current temp
Soup Pot E
Current temp
Soup Pot B
Current temp
Soup Pot F
Current temp
Soup Pot C
Current temp
Soup Pot G
Current temp
Soup Pot D
Current temp
Soup Pot H
Current temp
2 If your pot of soup had 10 hot chips and 15 cold chips would the soup be above or below room
temperature? Explain how you know.
Sheet # 03-07
3 Add 2 cold chips to the pot of soup below and
then determine the new temperature.
-3 + = Current
temp Add Chips New
temp
How do our results relate to what we learned about adding integers with the same sign?
4 Add 2 hot chips to the pot of soup below and
then determine the new temperature.
-3 + = Current
temp Add Chips New
temp
How do our results relate to what we learned about adding integers with the different signs?
5 What could we ADD to the pot to make the
new temperature 4?
-3 + = 4 Current
temp Add Chips New
temp
How do our results relate to what we learned about adding integers with the different signs?
6 Remove 2 hot chips from the pot of soup below
and then determine the new temperature.
-3 - = Current
temp Remove Chips New
temp
How do our results relate to the results from question #3?
7 Remove 2 cold chips from the pot of soup
below and then determine the new temperature.
-3 - = Current
temp Remove Chips New
temp
How do our results relate to the results from question #4?
8 What could we REMOVE from the pot to
make the new temperature 4?
-3 - = 4 Current
temp Remove Chips New
temp
Name: ____________________________ Date:_________
Operations – Subtraction Myth PreAlgebra Top Soup Chef Challenge!
Chef Boyar-B
“Ladle?! Ain’t nobody got time for
that! I just ADD the chips I need.”
VS Chef Nutella
“I use my ladle to REMOVE chips I
don’t want.”
Round 1 – You are given the soup pot below. Make your soup pot equal 3!
Chef Boyar-B:
7 + = 3 Current
temp Add Chips New
temp
Chef Nutella:
7 - = 3 Current
temp Remove Chips New
temp
Round 2 – You are given the soup pot below. Make your soup pot equal -10!
Chef Boyar-B:
-8 + = -10 Current
temp Add Chips New
temp
Chef Nutella:
-8 - = -10 Current
temp Remove Chips New
temp
Notice the similarities and differences between adding and subtracting for the two rounds.
1 Explain how we can rewrite 47 as an
addition expression so we can use our
addition rules for integers to evaluate.
2 Explain how we can rewrite 42 as an
addition expression so we can use our
addition rules for integers to evaluate.
Sheet # 03-08
Round 3 – You are given the soup pot below. Make your soup pot equal 5!
Chef Boyar-B:
3 + = 5 Current
temp Add Chips New
temp
Chef Nutella:
3 - = 5 Current
temp Remove Chips New
temp
Round 4 – You are given the soup pot below. Make your soup pot equal 10!
Chef Boyar-B:
5 + = 10 Current
temp Add Chips New
temp
Chef Nutella:
5 - = 10 Current
temp Remove Chips New
temp
Round 5 – You are given the soup pot below. Make your soup pot equal -2!
Chef Boyar-B:
-5 + = -2 Current
temp Add Chips New
temp
Chef Nutella:
-5 - = -2 Current
temp Remove Chips New
temp
Study the last 3 rounds. Notice what subtracting negative chips does to the temperature of the soup.
3 Explain how we can rewrite 5 − (−2) as an
addition expression so we can use our
addition rules for integers to evaluate.
4 Explain how we can rewrite −6 − (−3) as an
addition expression so we can use our
addition rules for integers to evaluate.
Name: ____________________________ Date:_________
Operations – Subtracting Integers PreAlgebra
Basic Skills Practice
1 97
2 410
3 87
4 )5(20
5 )14(25
6 6515
7 )6(20
8 120
9 1813
10 )6(8
11 5075
12 )13(13
13 )10(19
14 25
15 )16(21
16 23
17 )7(7
18 )7(15
19 83
20 )5(10
21 100
22 )2(69
23 6)8(6
24 8)5(12
25 )11(715
26 5)6(2
27 )2()5(25
28 )6(2054
Sheet # 03-09
29 Which of the following expressions is
represented by the number line below?
A 34 C )7(3
B 74 D )7(0
30 (a) Write the addition expression that is
modeled on the number line below.
Expression ______________
(b) Write the subtraction expression that is
modeled on the number line below.
Expression ______________
31 (a) Write an addition sentence to represent
the number line below.
Sentence _____________
(b) Write a subtraction sentence to represent
the number line below.
Sentence _____________
32 Which subtraction sentence is shown by this
model?
A 415 C 541
B 145 D 4)1(5
33 The floor of the shallow end of a swimming pool
is -3 feet. The floor of the deep end is 9 feet
deeper. Which expression can be used to find the
depth of the deep end?
34 Describe and correct the error in
finding the difference of 7 – (-12).
35 Ty entered the elevator on the 10th floor. He
rode up 3 floors, down 7 floors, up 2 floors,
down 5 floors, and up 6 floors where he got
off. On what floor did Ty get off the
elevator?
Answer ___________
36
An American football team gains the
following distances, in yard, on the eight
plays of their drive: 2, -3, 24, -3, 20, 6, -6, 4.
What is the total gain of the drive?
Answer ___________
37 A football team gained 4 yards on first
down, lost 3 yards on second down, and
gained 2 more yards on third down. On
fourth down, they lost 5 yards. On which
down does the integer -5 represent the
situation?
A first C third
B second D fourth
Name: ____________________________ Date: ________
Operations – Subtracting Rational Numbers PreAlgebra Going Deeper
For #’s 29-36: Simplify.
1
2
3
4
5
6
7
8
9 What is the value of the expression below?
10 What is the value of the expression below?
11 What is the value of the expression below?
Sheet # 03-10
H.O.T. Problems Higher Order Thinking
12 Circle the integer below that will make this
number sentence true.
3(?)5
-8 -2 2
13 Which sentence about integers is not always
true?
A Positive – positive = positive
B Positive + positive = positive
C Negative + negative = negative
D Positive – negative = positive
14 True or false?
When n is a negative integer, 0 nn .
15 One of these things is not like the other… Which expression does not belong with the other
three? Explain your reasoning.
16 Describe and correct the error
in finding the difference.
17 Write two different pairs of negative integers , x
and y, that make the statement 1 yx true.
18 Evaluate the expression:
Related Documents
