Name Date - SharpSchool · Understanding Positive and Negative Numbers - Guided Lesson Explanation...
Transcript of Name Date - SharpSchool · Understanding Positive and Negative Numbers - Guided Lesson Explanation...
Name _____________________ Date _________________________
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Understanding Positive and Negative Numbers - Step-by-Step Lesson
Learning About Negatives:
1) If the temperature were to drop 47
degrees, which number would display
this best?
a) 47 b) -147 c) 147 d) -47
Explanation:
Step 1) When the number is negative it means that the quantity is
decreasing and if that quantity increase than the value is positive.
So if the temperature drops that means that the value is decreasing. It has
to be a negative amount. That would leave us with a choice of b or d. The
problem states a “47” degree change, so the answer is d) -47.
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Understanding Positive and Negative Numbers - Guided Lesson
Complete the following problems:
1) John is a mountaineer. He went on a long hike. He
started his hike at 250 feet above sea level. When he
reached the peak of the mountain, he was at
1,500 feet above sea level. How many feet did
John hike up the mountain?
2) If the temperature increases and becomes 50 degrees, which number
would display this best?
a) 50 b) -150 c) 150 d) -50
3) At 10 AM it was -4° C. At noon it was 10° C. Did it get warmer or
colder? How many degrees warmer or colder did it get?
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Understanding Positive and Negative Numbers - Guided Lesson Explanation
Explanation#1
Step 1) If the values are above the sea level that would mean that the number is positive. If the values would have been given below sea level then the value would have been negative.
The given values are above sea level, so the values are positive.
To find the height that John hiked up the mountain subtract 250 from 1,500.
1500 – 250 = 1,250
He hiked up to the height 1,250 feet above sea level.
Explanation#2
When the number is negative, it means that the value is decreasing.
If the value increases that means the value is positive.
The temperature increases in this case, it has to be positive. The value of
change was indicated as being 50. So the answer is a) 50
Explanation#3
Step 1) At 10 AM, the temperature is negative and at noon it is positive. This means that the temperature has increased. Increased temperature means that it got warmer.
Step 2) In order to find out how many degrees warmer we have to subtract.
(-4) from 10.
10 - (-4) = 14
So the weather is 14° degrees warmer.
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Understanding Positive and Negative Numbers - Independent Practice Worksheet
Solve all problems.
1) Dave loves under water diving. His house boat
is 250 feet above sea level. He jumped from that
level. He went 600 feet below sea level. How
many feet did Dave go under the water?
2) If the temperature rises to 80 degrees, which number would display this best?
a) -80 b) -180 c) 180 d) 80
3) In the morning the temperature was 5° C. In the evening it was 15° C.
Did it get warmer or colder? How many degrees warmer or colder did it get?
4) The temperature goes down 20 degrees. Which number displays this change?
a) 20 b) 120 c) -20 d) -120
5) George enjoys skydiving. He jumped from a helicopter at 8000 feet above
sea level. He then landed on a mountain at 5000 feet above sea level. How
many feet did George descend?
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6) The temperature goes down 20 degrees, which option shows this?
a) 20 b) 120 c) -20 d) -120
7) At noon the temperature was 30° C. At night it becomes 25° C. How
many degrees warmer or colder did it get?
8) The temperature goes up by 90 degrees, which option shows this?
a) 90 b) 190 c) -90 d) -190
9) If the temperature is 40 degrees Celsius, is the weather warm or cold?
10) At midnight the temperature was 20° C. In the morning it becomes 25°
C. How many degrees warmer or colder did it get?
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Understanding Positive and Negative Numbers - Matching Worksheet
Match the word problems to their answers. Write the letter of the answer that matches the problem.
_______ 1. Andrew’s hobby is mountaineering. He started his hike at 250 feet above sea level. When he reached the peak of the mountain he was at 1700 feet above sea level. How many feet did Jake hike up the mountain?
a. 7 degrees
_______ 2. In the daytime, the temperature was 50°
C. In the evening it becomes 35° C. How
many degrees warmer or colder did it get?
b. 5 degrees
_______ 3. If the temperature is 60 degrees Celsius,
is the weather warm or cold?
c. -15 degrees
_______ 4. In the morning the temperature was 8° C.
In the evening it was 15° C. Did it get
warmer or colder? How many degrees
warmer or colder did it get?
d. 1450
_______ 5. At midnight the temperature was 20° C.
In the morning it becomes 25° C. How many
degrees warmer or colder did it get?
e. Cold
_______ 6. If temperature is -8 degrees (Celsius or
Fahrenheit; take your pick). Is the weather
cold or warm?
f. Warm
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Topic: Positive/Negative Number Line Addition - Worksheet 1 Directions: Complete the following operation using the number lines.
1
2+2
2
5-2
3
-6-4
4
6+2
5
9-2
6
4+2
7
1+6
8
-8+2
9
7+1
10
3+4
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Topic: Positive/Negative Number Line Addition - Worksheet 2 Directions: Complete the following operation using the number lines.
1
2+1
2
5-1
3
6-2
4
6+3
5
-9+3
6
4+3
7
-5+2
8
8-1
9
8+1
10
3+4
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Topic: Positive/Negative Number Line Addition - Worksheet 3 Directions: Complete the following operation using the number lines.
1
2+4
2
5-2
3
6+2
4
4+2
5
9-2
6
-4+1
7
1+3
8
-8+6
9
4+1
10
3+2
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Topic: Positive/Negative Number Line Addition - Worksheet 4 Directions: Complete the following operation using the number lines.
1
2+7
2
5-4
3
6+1
4
6+3
5
9-1
6
-7+5
7
-4-5
8
8-3
9
4+2
10
3+3
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Topic: Positive/Negative Number Line Addition - Worksheet 5 Directions: Complete the following operation using the number lines.
1
2+4
2
5-3
3
6+2
4
6+1
5
-9+5
6
4+2
7
1+5
8
-8+6
9
4+1
10
3+6
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Topic: Representing Integers- Worksheet 1
Represent the statements with integers.
1 Forty-eight feet below sea level.
2 The opposite of -768
3 A pay cut of $14,000. 4 The stock market went up 1,400 points today.
5 The football player had a 60 yard gain on the play.
6 600 below zero.
7 The opposite of -974 8 A loss of thirty pounds.
9 A raise of $14,450. 10 Ninety-five feet below sea level.
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Topic: Representing Integers- Worksheet 1ANSWERS
Represent the statements with integers.
1.
-48
2.
768
3.
-$14,000
4.
+1,400
5.
+60
6.
-600
7.
974
8.
-30
9.
+14,450
10.
-95
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Topic: Representing Integers- Worksheet 2
Represent the statements with integers.
1 Sixty-seven feet below sea level.
2 The opposite of -825
3 A pay cut of $16,000. 4 The stock market went up 1,600 points today.
5 The football player had a 80 yard gain on the play.
6 500 below zero.
7 The opposite of -345 8 A loss of fifty pounds.
9 A raise of $18,350. 10 Sixty-six feet below sea level.
Name: ________________________ Date ____________
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Topic: Representing Integers- Worksheet 2 ANSWERS
Represent the statements with integers.
1.
-67
2.
825
3.
-$16,000
4.
+1,600
5.
+80
6.
-500
7.
345
8.
-50
9.
+$18,350
10.
-66
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Topic: Representing Integers- Worksheet 3
Represent the statements with integers.
1 Forty-two feet below sea level. 2 The opposite of -400
3 A pay cut of $11,000. 4 The stock market went up 2,600 points today.
5 The football player had a 24 yard gain on the play.
6 200 below zero.
7 The opposite of -412 8 A loss of seventy pounds.
9 A raise of $16,250. 10 Eighty-six feet below sea level.
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Topic: Representing Integers- Worksheet 3 ANSWERS
Represent the statements with integers.
1.
-42
2.
400
3.
-$11,000
4.
+2,600
5.
+24
6.
-200
7.
412
8.
-70
9.
+$16,250
10.
-86
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Topic: Representing Integers- Worksheet 4
Represent the statements with integers.
1 Seventy-three feet below sea level.
2 The opposite of -240
3 A pay cut of $12,500. 4 The stock market went up 5,600 points today.
5 The football player had a 44 yard gain on the play.
6 150 below zero.
7 The opposite of -850 8 A loss of ninety pounds.
9 A raise of $18,450. 10 Forty-two feet below sea level.
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Topic: Representing Integers- Worksheet 4 ANSWERS
Represent the statements with integers.
1.
-73
2.
240
3.
-$12,500
4.
+5,600
5.
+44
6.
-150
7.
850
8.
-90
9.
+$18,450
10.
-42
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Topic: Representing Integers- Worksheet5
Represent the statements with integers.
1 Sixty-four feet below sea level. 2 The opposite of -600
3 A pay cut of $18,640. 4 The stock market went up 6,000 points today.
5 The football player had a 89 yard gain on the play.
6 240 below zero.
7 The opposite of -200 8 A loss of twenty pounds.
9 A raise of $20,500. 10 Eighty-One feet below sea level.
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Topic: Representing Integers- Worksheet 5 ANSWERS
Represent the statements with integers.
1.
-64
2.
600
3.
-$18,640
4.
+6,000
5.
+89
6.
-240
7.
200
8.
-20
9.
+$20,500
10.
-81