## Engage NY Eureka Math 6th Grade Module 3 Mid Module Assessment Answer Key

### Eureka Math Grade 6 Module 3 Mid Module Assessment Answer Key

Question 1.

The picture below is a flood gauge that is used to measure how far (in feet) a river’s water level is above or below its normal level.

a. Explain what the number 0 on the gauge represents, and explain what the numbers above and below 0 represent.

Answer:

The number 0 represents the normal average water level in the river. The numbers below 0 indicate low water and the numbers above 0 indicate high water level.

b. Describe what the picture indicates about the river’s current water level.

Answer:

The river’s water level is about 2 feet below normal.

c. What number represents the opposite of the water level shown in the picture, and where is it located on the gauge? What would it mean if the river water was at that level?

Answer:

The water level is currently at approximately – 2.0 feet. The opposite of – 2 is 2. 2 is on the opposite side of 0, or above zero. If the river was at 2, the water level would be higher than normal.

d. If heavy rain is in the forecast for the area for the next 24 hours, what reading might you expect to see on this gauge tomorrow? Explain your reasoning.

Answer:

I would expect to see the water level closer to 0 or even higher. Heavy rain should cause the amount of water in the river to increase, So its level would move up the number line.

Question 2.

Isaac made a mistake in his checkbook. He wrote a check for $8.98 to rent a video game but mistakenly recorded it in his checkbook as an $8.98 deposit.

a. Represent each transaction with a rational number, and explain the difference between the transactions.

Answer:

A check will decrease his account balance

So it can be represented by – 8.98

A deposit will increase his account balance

So it can be represented by 8.98.

b. On the number line below, locate and label the points that represent the rational numbers listed in part (a). Describe the relationship between these two numbers. Zero on the number line represents Isaac’s balance before the mistake was made.

Answer:

The numbers that represent the two transactions are opposites.

c. Use absolute value to explain how a debit of $8.98 and a credit of $8.98 are similar.

Answer:

The check and deposit have the same absolute value (8.98) So they will change his account balance by the same amount of money, but they change the balance in opposite directions.

Question 3.

A local park’s programs committee is raising money by holding mountain bike races on a course through the park. During each race, a computer tracks the competitors’ locations on the course using GPS tracking. The table shows how far each competitor is from a checkpoint.

a. The checkpoint is represented by 0 on the number line. Locate and label points on the number line

for the positions of each listed participant. Label the points using rational numbers.

Answer:

b. Which of the competitors is closest to the checkpoint? Explain.

Answer:

Florence is closest to the checkpoint because her distance to the checkpoint is 0.1 miles which is less than any of the other girls distances.

c. Two competitors are the same distance from the checkpoint. Are they in the same location? Explain.

Answer:

Rebecca and Lita are both of 0.5 miles from the checkpoint, they are just on opposite sides of the check point.

d. Who is closer to finishing the race, Nancy or Florence? Support your answer.

Answer:

Florence is closer to finishing the race because the number representing her position (- 0.1) is to the right of (-\(\frac{2}{10}\)) on the number line which is Nancy’s position.

Question 4.

Andrea and Marta are testing three different coolers to see which keeps the coldest temperature. They placed a bag of ice in each cooler, closed the coolers, and then measured the air temperature inside each after 90 minutes. The temperatures are recorded in the table below:

Marta wrote the following inequality statement about the temperatures:

– 4.3 < – 2.91 < 5.7.

Andrea claims that Marta made a mistake in her statement and that the inequality statement should be written as

– 2.91 < – 4.3 < 5.7.

a. Is either student correct? Explain.

Answer:

Marta is correct because the order of the numbers in her inequality is the same as the order of the numbers on the number line moving from left to right (or from down to up).

b. The students want to find a cooler that keeps the temperature inside the cooler more than 3 degrees below the freezing point of water (0°C) after 90 minutes. Indicate which of the tested coolers meets this goal, and explain why.

Answer:

More than 3 degrees below 0°C means less than – 3°C. The only cooler to keep the temperature less than – 3°C is Cooler c. Cooler c held a temperature of – 4.3°C which is to the left of – 3°C on the number line.

Question 5.

Mary manages a company that has been hired to flatten a plot of land. She took several elevation samples from the land and recorded those elevations below:

a. The landowner wants the land flat and at the same level as the road that passes in front of it. The road’s elevation is 830 feet above sea level. Describe in words how elevation samples B, C, and E compare to the elevation of the road.

Answer:

Samples B and C are higher than 830 feet and so higher than the road. sample E is lower than 830 feet and so lower than the road.

b. The table below shows how some other elevation samples compare to the level of the road:

Write the values in the table in order from least to greatest.

_________< _________< _________< _________< _________< _________

Answer:

– 4.5 < – 0.9 < – 0.5 < 1.3 < 2.2 < 3.1

c. Indicate which of the values from the table in part (b) is farthest from the elevation of the road. Use absolute value to explain your answer.

Answer:

– 4.5 (sample k) is furthest from the elevation of the road because its absolute value (4.5) is greater than the absolute values of the other sample in the table.