Download PK12 Curriculum – Mathematics Grade 6 – Module 3 Rational

PK12 Curriculum – Mathematics
Grade 6 – Module 3
Rational Numbers
Assessment
Constructed Response
Point A 5.75 has been plotted on the number line above. Plot and label the following
points.
1. Point B: 0/5
2. Point C: -3.5
3. Point D: 75/9
CC.2.1.6.E.4, M06.A-N.3.1.3, DOK 1
4. The lowest point in the United States is Death Valley in California. Its altitude is
282 feet below sea level. The High Sierra Mountains are 14,124 feet high.
a.
Construct an illustration that labels the height of the mountain, sea level,
and the bottom of Death Valley.
b. What distance does a climber travel from the bottom of Death Valley to
the top of High Sierra?
CC.2.1.6.E.4, M06.A-N.3.1.1, DOK 2
5. –(-5) = _______
CC.2.1.6.E.4, M06.A-N.3.1.2, DOK 1
6. Use <, > or = to show the relationship between -5°C and -15°C.
CC.2.1.6.E.4, M06.A-N.3.2.1, DOK 1
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7. Mrs. Clare’s track team is tracking running distances for the school year. The
average running distance was 4.6 miles. The table shows the difference from the
average for some students’ distances. Order the differences from greatest to least.
Difference from Average Running Distance
Student
Difference (mi.)
Abby
1 4/7
Jonah
-1 ¼
Julia
1.4
Dylan
-1.14
CC.2.1.6.E.4, M06.A-N.3.2.1, DOK 1
8. Sam has an account balance of -53 dollars. Use absolute value notation to
describe the size of his debt in dollars. Explain what would happen to his balance if
he deposited $25.
CC.2.1.6.E.4, M06.A-N.3.2.2, DOK 1
9. Use the coordinate grid below to plot (8, -3) and (8, -7). Use absolute value to find the
distance between the two points.
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CC.2.1.6.E.4, M06.A-N.3.2.3, DOK 1
Performance Task
10. A flea is jumping around on a number line.
a. If he starts at 1 and jumps 3 units to the right, then where is he on the number
line? How far away from zero is he?
b. If he starts at 1 and jumps 3 units to the left, then where is he on the number line?
How far away from zero is he?
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c. If the flea starts at 0 and jumps 5 units away, where might he have landed?
d. If the flea jumps 2 units and lands at zero, where might he have started?
e. The absolute value of a number is the distance it is from zero. The absolute value
of the flea’s location is 4 and he is to the left of zero. Where is he on the number
line?
CC.2.1.6.E.4, M06.A-N.3.2.2, DOK 2
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Constructed Response Answers
Problems 1-3 should be shown on the numbers line.
4a. Student should illustrate the problem
4b. 14,406 feet
5. 5
6. -5 › -15
7. Abby 1 4/7, Julia 1.4, Dylan -1.14, Jonah -1 ¼
8. Absolute value -53 = 53, If Sam deposits $25.00 the balance in his account will
increase to $-28.00.
9.
Performance Task Answers
Solution: Solutions
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10. It would be a good idea to use a number line to illustrate these solutions.
1. If he starts at 1 and jumps 3 units to the right, then the flea is at 4. He is 4 units
away from zero.
2. If he starts at 1 and jumps 3 units to the left, then the flea is at −2. He is |−2|=2
units away from zero.
3. If the flea starts at 0 and jumps five units away, then he is either at −5 or 5.
4. If the flea lands on 0 and jumped 2 units, then he started at either −2 or 2.
5. If the absolute value of the flea’s location is 4, then he is either at −4 or 4. Since
he is to the left of zero, the flea is at −4.
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