Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (2024)

Engage NY Eureka Math 5th Grade Module 6 Lesson 5 Answer Key

Eureka Math Grade 5 Module 6 Lesson 5 Problem Set Answer Key

Question 1.
Use the coordinate plane to the right to answer the following questions.
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (1)
a. Use a straightedge to construct a line that goes through points A and B. Label the line e.
b. Line e is parallel to the ______-axis and is perpendicular to the ______-axis.
c. Plot two more points on line e. Name them C and D.
d. Give the coordinates of each point below.
A: ________
B: ________
C: ________
D: ________
e. What do all of the points of line e have in common?
f. Give the coordinates of another point that would fall on line e with an x-coordinate greater than 15.
Answer:
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (2)
b. Line e is parallel to the X-axis and is perpendicular to the Y-axis.
d. The coordinates of each point below.
A: (3, 4)
B: (11, 4)
C: (5, 4)
D: (8, 4)
e. All of the points of line e have in common Y-Coordinate.
f. The coordinates of another point that would fall on line e with an x-coordinate greater than 15 is ( 16, 4 )

Question 2.
Plot the following points on the coordinate plane to the right.
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (3)
P: (1\(\frac{1}{2}\), \(\frac{1}{2}\))
Q: (1\(\frac{1}{2}\), 2\(\frac{1}{2}\))
R: (1\(\frac{1}{2}\), 1\(\frac{1}{2}\))
S: (1\(\frac{1}{2}\), \(\frac{3}{4}\))
a. Use a straightedge to draw a line to connect these points. Label the line h.
b. In line h, x = _____ for all values of y.
c. Circle the correct word.
Line h is parallel perpendicular to the x-axis.
Line h is parallel perpendicular to the y-axis.
d. What pattern occurs in the coordinate pairs that let you know that line h is vertical?
Answer:
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (4)
b. In line h, x =1\(\frac{1}{2}\) for all values of y.
c. Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (5)
d . All the coordinate pairs form a straight line .

Question 3.
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.
a. (1.4, 2.2) and (4.1, 2.4)
b. (3, 9) and (8, 9)
c. (1\(\frac{1}{4}\), 2) and (1\(\frac{1}{4}\), 8)
Answer:
Option b
Explanation :
To form a parallel line to x -axis, the y-coordinates should be same for all x-coordinates. so in option c we have same y -coordinates b. (3, 9) and (8, 9).

Question 4.
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle your answer(s). Then, give 2 other coordinate pairs that would also fall on this line.
a. (4, 12) and (6, 12)
b. (\(\frac{3}{5}\), 2\(\frac{3}{5}\)) and (\(\frac{1}{5}\), 3 \(\frac{1}{5}\))
c. (0.8, 1.9) and (0.8, 2.3)
Answer:
Option c
Explanation :
To form a parallel line to y -axis, the x-coordinates should be same for all y-coordinates. so in option a we have same y -coordinates (0.8, 1.9) and (0.8, 2.3)
The 2 Other coordinate pairs that would also fall on this line are (0.8, 2) and (0.8, 2.1)

Question 5.
Write the coordinate pairs of 3 points that can be connected to construct a line that is 5\(\frac{1}{2}\) units to the right of and parallel to the y-axis.
a. ________________
b. ________________
c. ________________
Answer:
A (5\(\frac{1}{2}\) ,\(\frac{1}{2}\))
B (5\(\frac{1}{2}\), 2\(\frac{1}{2}\))
C (5\(\frac{1}{2}\), 3)
Explanation :
To form a parallel line to y -axis, the x-coordinates should be same for all y-coordinates.

Question 6.
Write the coordinate pairs of 3 points that lie on the x-axis.
a. ________________
b. ________________
c. ________________
Answer:
A ( 3, 0 )
B ( 5, 0)
C ( 7, 0)
Explanation :
To lie 3 points on x – axis y coordinates should be 0 . then any point with different x-coordinates lie on x-axis.

Question 7.
Adam and Janice are playing Battleship. Presented in the table is a record of Adam’s guesses so far.
He has hit Janice’s battleship using these coordinate pairs. What should he guess next? How do you know? Explain using words and pictures.
(3, 11) hit
(2, 11) miss
(3, 10) hit
(4, 11) miss
(3, 9) miss
Answer:
Next Coordinate will be (3, 8)
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (6)
Explanation :
By plotting the 5 coordinate points above the shape formed is T . So, The next coordinate can be (3, 8) it completes the letter T.

Eureka Math Grade 5 Module 6 Lesson 5 Exit Ticket Answer Key

Question 1.
Use a straightedge to construct a line that goes through points A and B. Label the line l.
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (7)
Answer:
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (8)
Explanation :
A and B points are joined and labeled as line l

Question 2.
Which axis is parallel to line l?
Which axis is perpendicular to line l?
Answer:
y – axis is parallel to line l
x – axis is perpendicular to line l

Question 3.
Plot two more points on line l. Name them C and D.
Answer:
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (9)
Explanation :
Two points are plotted on line l and named as C and D .
C is marked at ( 4, 5 )
D is marked at ( 4, 4)

Question 4.
Give the coordinates of each point below.
A: ___________
B: ___________
C: ___________
D: ___________
Answer:
A : ( 4, 6 )
B: ( 4, 3 )
C: ( 4, 5 )
D: ( 4, 4 )

Question 5.
Give the coordinates of another point that falls on line l with a y-coordinate greater than 20.
Answer:
( 4, 22 )
Explanation :
All the x- coordinates are the same it is parallel line to y – axis and given y – coordinate should be greater than 20 so, (4, 22) .

Eureka Math Grade 5 Module 6 Lesson 5 Homework Answer Key

Question 1.
Use the coordinate plane to answer the questions.
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (10)
a. Use a straightedge to construct a line that goes through points A and B. Label the line g.
b. Line g is parallel to the ______-axis and is perpendicular to the ______-axis.
c. Draw two more points on line g. Name them C and D.
d. Give the coordinates of each point below.
A: ___________
B: ___________
C: ___________
D: ___________
e. What do all of the points on line g have in common?
f. Give the coordinates of another point that falls on line g with an x-coordinate greater than 25.
Answer:
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (11)
b. Line g is parallel to the x-axis and is perpendicular to the y-axis.
c.
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (12)
d. The Coordinates are written below
A: (4, 8)
B: (9, 8)
C: (5, 8)
D: (7, 8)
e. All of the points on line g have in common is y-coordinate .
f. The coordinates of another point that falls on line g with an x-coordinate greater than 25 is ( 28 , 8) .
All of the points on line g have in common is y-coordinate .

Question 2.
Plot the following points on the coordinate plane to the right.
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (13)
H: (\(\frac{3}{4}\), 3)
I: (\(\frac{3}{4}\), 2\(\frac{1}{4}\))
J: (\(\frac{3}{4}\), \(\frac{1}{2}\))
K: (\(\frac{3}{4}\), 1\(\frac{3}{4}\))
a. Use a straightedge to draw a line to connect these points. Label the line f.
b. In line f, x = ______ for all values of y.
c. Circle the correct word:
Line f is parallel perpendicular to the x-axis.
Line f is parallel perpendicular to the y-axis.
d. What pattern occurs in the coordinate pairs that make line f vertical?
Answer:
a.
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (14)
b. In line f, x = \(\frac{3}{4}\) for all values of y.
c. Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (15)
d. all the points form a straight line .

Question 3.
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.
a. (3.2, 7) and (5, 7)
b. (8, 8.4) and (8, 8.8)
c. (6\(\frac{1}{2}\), 12) and (6.2, 11)
Answer:
a. (3.2, 7) and (5, 7)
Explanation :
To form a parallel line to x -axis, the y-coordinates should be same for all x-coordinates.
In option a. (3.2, 7) and (5, 7)we have same x – coordinate .

Question 4.
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle your answer(s). Then, give 2 other coordinate pairs that would also fall on this line.
a. (3.2, 8.5) and (3.2, 24)
b. (13\(\frac{1}{2}\), 4\(\frac{2}{3}\)) and (13\(\frac{1}{3}\), 7)
c. (2.9, 5.4) and (7.2, 5.4)
Answer:
a. (3.2, 8.5) and (3.2, 24)
Explanation :
To form a parallel line to y -axis, the x-coordinates should be same for all y-coordinates.
In Option a. (3.2, 8.5) and (3.2, 24) we have same x-coordinates .

Question 5.
Write the coordinate pairs of 3 points that can be connected to construct a line that is 5\(\frac{1}{2}\) units to the right of and parallel to the y-axis.
a. ________________
b. ________________
c. ________________
Answer:
A ( 5\(\frac{1}{2}\), 2\(\frac{1}{2}\) )
B ( 5\(\frac{1}{2}\), 5\(\frac{1}{2}\))
C ( 5\(\frac{1}{2}\), 4)
Explanation :
To form a parallel line to y -axis, the x-coordinates should be same for all y-coordinates.

Question 6.
Write the coordinate pairs of 3 points that lie on the y-axis.
a. ________________
b. ________________
c. ________________
Answer:
A ( 0, 2 )
B ( 0, 4)
C ( 0, 6)
Explanation :
The 3 points that lie on the y-axis means x-coordinate should be 0 then all the points lie on y-axis .

Question 7.
Leslie and Peggy are playing Battleship on axes labeled in halves. Presented in the table is a record of Peggy’s guesses so far. What should she guess next? How do you know? Explain using words and pictures.
(5, 5) miss
(4, 5) hit
(3\(\frac{1}{2}\), 5) miss
(4\(\frac{1}{2}\), 5) miss
Answer:
Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (16)
Explanation :
All the above points form a straight line so, the next point should also form a straight line so, the next point is (3, 5 )

Eureka Math Grade 5 Module 6 Lesson 5 Answer Key (2024)

FAQs

What grade does Eureka math go up to? ›

Eureka Math® is a holistic Prekindergarten through Grade 12 curriculum that carefully sequences mathematical progressions in expertly crafted modules, making math a joy to teach and learn. We provide in-depth professional development, learning materials, and a community of support.

What are the four core components of a Eureka Math TEKS lesson? ›

A typical Eureka lesson is comprised of four critical components: fluency practice, concept development (including a problem set), application problem, and student debrief (including the Exit Ticket).

What is the purpose of the concept development in Eureka math? ›

The concept development is generally comprised of carefully sequenced problems centered within a specific topic to begin developing mastery via gradual increases in complexity.

What is the hardest math in 5th grade? ›

Some of the hardest math problems for fifth graders involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines.

What is the hardest math grade? ›

Generally speaking, the most rigorous math courses in high school include Advanced Placement (AP) Calculus AB and BC, AP Statistics, and for some, Multivariable Calculus (which might be offered at your school or at a local college).

Who is the father of math Eureka? ›

Here's a closer look into this sudden discovery (the “Eureka!” moment): The famous Greek mathematician, physicist, and astronomer, Archimedes was born in 287 BC in Syracuse, a Greek colony in Sicily (an island now part of Italy).

Who invented Eureka Math? ›

Eureka (Ancient Greek: εὕρηκα, romanized: héurēka) is an interjection used to celebrate a discovery or invention. It is a transliteration of an exclamation attributed to Ancient Greek mathematician and inventor Archimedes.

Who wrote Eureka Math curriculum? ›

Munson's group, which later changed its name to Great Minds, teamed up with Scott Baldridge, a Louisiana State University math professor who is Eureka's lead writer. They soon won a contract with New York Education Department to create Eureka, or Engage New York.

What is the highest level of math in 9th grade? ›

9th grade math usually focuses on Algebra I, but can include other advanced mathematics such as Geometry, Algebra II, Pre-Calculus or Trigonometry.

What is 8th grade advanced math? ›

Eighth graders who score proficient or advanced are considered to have mastered concepts such as number sense and operations; expressions, equations, and inequalities; functions; geometry and measurement; and data, analysis, and statistics.

What grade level is go math for? ›

Go Math! (K-6) on Ed is an easy-to-implement core curriculum with an effective instructional approach that includes robust differentiation and assessment resources that engage all levels of learners and support all levels of teachers, from novice to master.

What grade level does prodigy math go up to? ›

Prodigy Math Game features more than 1,500 mathematical skills, aligned with curriculum standards for grades 1 to 8.

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