Engage NY Eureka Math 6th Grade Module 3 Lesson 3 Answer Key
Eureka Math Grade 6 Module 3 Lesson 3 Example Answer Key
Example 1.
A Look at Sea Level
The picture below shows three different people participating in activities at three different elevations. With a partner, discuss what you see. What do you think the word elevation means in this situation?
Answer:
Pose questions to the class, and define elevation. Students gain additional practice with elevation by completing Exercise 1 independently.
Possible discussion questions:
→ Looking at the picture, if you were to draw a vertical number line to model elevation, which person’s elevation do you think would be at zero? Explain.
Sea level should represent an elevation of zero. So, the person sailing would be at zero because he is sailing on the surface of the water, which is neither above nor below the surface. On a number line, zero is the point or number separating positive and negative numbers.
→ On the same vertical number line, which person’s elevation would be represented above zero?
The elevation of the person hiking would be above zero because she is moving higher above the water.
On a vertical number line, this is represented by a positive value above zero because she is above the surface.
→ On the same vertical number line, which person’s elevation do you think would be below zero?
The elevation of the person scuba diving would be below zero because he is swimming below the surface of the water. On a vertical number line, this is represented by a negative value below zero because he is below the surface.
→ What does zero represent in this situation?
Zero represents the top of the water (the water’s surface).
→ In this example, which numbers correspond to elevations above sea level?
Above sea level means to be above zero, which are positive numbers.
→ In this example, which numbers correspond to elevations below sea level?
Below sea level means to be below zero, which are negative numbers.
→ On a number line, what does it mean to be at sea level?
To be at zero means to be at sea level.
→ Elevation is the height of a person, place, or thing above or below a certain reference point. In this case, what is the reference point?
The reference point is sea level.
Eureka Math Grade 6 Module 3 Lesson 3 Exercise Answer Key
Refer back to Example 1. Use the following information to answer the questions.
→ The scuba diver is 30 feet below sea level.
→ The sailor is at sea level.
→ The hiker is 2 miles (10,560 feet) above sea level.
Exercises 1.
Write an integer to represent each situation.
Answer:
Scuba Diver: – 30
Sailor: 0
Hiker: 2 (to represent the elevation in miles) or 10, 560 (to represent the elevation in feet)
Exercises 2.
Use an appropriate scale to graph each of the following situations on the number line to the right. Also, write an Integer to represent both situations.
a. A hiker is 15 feet above sea level.
Answer:
15
b. A diver is 20 feet below sea level.
Answer:
– 20
Exercises 3.
For each statement, there are two related statements: (i) and (ii). Determine which related statement ((i) or (ii)) is expressed correctly, and circle it. Then, correct the other related statement so that both parts, (i) and (ii), are stated correctly.
a. A submarine is submerged 800 feet below sea level.
i. The depth of the submarine is – 800 feet below sea level.
Answer:
The depth of the submarine is 800 feet below sea level.
ii. 800 feet below sea level can be represented by the integer – 800.
Answer:
b. The elevation of a coral reef with respect to sea level is given as – 150 feet.
i. The coral reef is 150 feet below sea level.
Answer:
ii. The depth of the coral reef is – 150 feet below sea level.
Answer:
The depth of the coral reef is 150 feet below sea level.
Eureka Math Grade 6 Module 3 Lesson 3 Problem Set Answer Key
Question 1.
Write an integer to match the following descriptions.
a. A debit of $40
Answer:
– 40
b. A deposit of $225
Answer:
225
c. 14,000 feet above sea level
Answer:
14,000
d. A temperature increase of 40°F
Answer:
40
e. A withdrawal of $225
Answer:
– 225
f. 14,000 feet below sea level
Answer:
– 14,000
For Problems 2 – 4, read each statement about a real-world situation and the two related statements in parts (a) and (b) carefully. Circle the correct way to describe each real-world situation; possible answers include either (a), (b), or both (a) and (b).
Question 2.
A whale is 600 feet below the surface of the ocean.
a. The depth of the whale is 600 feet from the ocean’s surface.
b. The whale is – 600 feet below the surface of the ocean.
Answer:
a. The depth of the whale is 600 feet from the ocean’s surface.
Question 3.
The elevation of the bottom of an iceberg with respect to sea level is given as – 125 feet.
a. The iceberg is 125 feet above sea level.
b. The iceberg is 125 feet below sea level.
Answer:
b. The iceberg is 125 feet below sea level.
Question 4.
Alex’s body temperature decreased by 2°F.
a. Alex’s body temperature dropped 2°F.
b. The integer – 2 represents the change in Alex’s body temperature in degrees Fahrenheit.
Answer:
Question 5.
A credit of $35 and a debit of $40 are applied to your bank account.
a. What is an appropriate scale to graph a credit of $35 and a debit of $40? Explain your reasoning.
Answer:
Answers will vary. I would count by 5’s because both numbers are multiples of 5.
b. What integer represents “a credit of $35” If zero represents the original balance? Explain.
Answer:
35; a credit is greater than zero, and numbers greater than zero are positive numbers.
c. What integer describes “a debit of $40” if zero represents the original balance? Explain.
Answer:
– 40; a debit is less than zero, and numbers less than zero are negative numbers.
d. Based on your scale, describe the location of both integers on the number line.
Answer:
If the scale is multiples of 5, then 35 would be 7 units to the right of (or above) zero, and – 40 would be 8 units to the left of (or below) zero.
e. What does zero represent in this situation?
Answer:
Zero represents no change being made to the account balance. In other words, no amount is either subtracted or added to the account.
Eureka Math Grade 6 Module 3 Lesson 3 Exit Ticket Answer Key
Question 1.
Write a story problem using sea level that includes both integers – 110 and 120.
Answer:
Answers may vary. On the beach, a man’s kite flies at 120 feet above sea level, which is indicated by the water’s surface. In the ocean, a white shark swims at 110 feet below the water’s surface.
Question 2.
What does zero represent in your story problem?
Answer:
Zero represents the water’s surface level, or sea level
Question 3.
Choose and label an appropriate scale to graph both integers on the vertical number line.
Answer:
I chose a scale of 10.
Question 4.
Graph and label both points on the vertical number line.
Answer:
