We included HMH Into Math Grade 5 Answer Key PDF Module 19 Lesson 2 Understand Ordered Pairs to make students experts in learning maths.
HMH Into Math Grade 5 Module 19 Lesson 2 Answer Key Understand Ordered Pairs
I Can graph a point on a coordinate grid and interpret the coordinate values.
Spark Your Learning
The map shows the location of two buildings. Each unit represents one block.
Andi is at the art museum and Karl is at the history museum. They agree to meet at the library. The library is at the intersection of a street that is 3 blocks south of the art museum and a street that is 5 blocks west of the history museum. Who walks farther to get to the library?
Justify your thinking.
Answer:
Explanation:
(2, 6)(3, 4) is the street of way to the library
The streets met at a point that intersect at (3, 2) That is the library location.
Andi walks 6 blocks and Karl walks 7 blocks
so, Karl walks more than Andy
Turn and Talk Is there a point where the streets intersect so Karl and Andi walk the same number of whole blocks to meet? Explain how you know.
Answer:
No they can’t walk same number of blocks to meet.
Explanation:
(2, 6)(3, 4) is the street of way to the library
The streets met at a point that intersect at (3, 2) That is the library location.
Build Understanding
Question 1.
Each unit on the map represents one block. The library is located at (6, 5). The school is located at (2, 7). Where is each building located on the map?
A. Find the location of the library.
What is the x-coordinate? ______________
Answer: 6
What does this mean? ______________
Answer:
6 blocks from the x-axis
What is the y-coordinate? ______________
Answer:
5
What does this mean? ______________
Answer:
5 blocks from the y-axis
B. Plot the location on the coordinate grid and label the point as the library.
Answer:
C. How will you find the location of the school?
Answer:
Where the x-axis and y-axis intersect that is the point where the library is located
D. Plot the location on the coordinate grid and label the point as the school.
Answer:
Turn and Talk Would the locations of the school and library be the same if the coordinates were (5, 6) and (7, 2)? Explain your answer.
Answer:
No, The intersection points changes
so, the school and library location changes.
Step It Out
Question 2.
Each unit on the map represents 1 mile.
A. How far is the museum from the aquarium?
How far from the y-axis is the aquarium? ___________
Answer:
2 miles far from the y-axis is the aquarium
How far from the y-axis is the museum? ___________
Answer:
5 miles far from the y-axis is the museum
How much farther from the y-axis is the museum compared to the aquarium? ___________
Answer:
3 miles farther from the y-axis is the museum compared with the aquarium
How far is the museum from the aquarium? ___________
Answer:
3 miles is the museum from the aquarium
B. How far is the park from the aquarium?
How far from the x-axis is the aquarium? ___________
Answer:
6 miles from park to the aquarium
3 miles to the aquarium from x-axis
How far from the x-axis is the park? ___________
Answer:
9 miles is the distance from x-axis to the park.
How much farther from the x-axis is the park compared to the aquarium? ___________
Answer:
6 miles is the distance from park to the aquarium on x-axis.
How far is the part from the acquarium? ___________
Answer:
6 miles is the distance from park to the aquarium on x-axis.
Turn and Talk How can you use the x- and y-coordinates to find the distances between the locations?
Answer:
By counting the block we can find the distance between the coordinates
1 block = 1mile.
Check Understanding
Each unit on the coordinate grid represents 1 mile.
Question 1.
Mystic Falls is located at (7, 8). Plot Mystic Falls on the coordinate grid.
Answer:
Explanation:
On x-axis it coordinate at 7
and on y-axis it coordinate at 8
so, the point of intersection is the Mystic falls.
Question 2.
How far is Mystic Falls from Grand Lake?
Answer:
4 miles
Explanation:
4 miles far is Mystic Falls from Grand Lake
Question 3.
How far is Mystic Falls from the campsite?
Answer:
6 miles
Explanation:
6 miles far is Mystic Falls from the campsite
On Your Own
Each unit on the coordinate grid represents 1 mile. Use the coordinate grid for 4-6.
Question 4.
Reason The ranch is located at (1, 9). Plot and label the location of the ranch. Explain how you plotted the point.
Answer:
Explanation:
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Question 5.
How far is the ranch from the farm?
Answer:
6 miles
Explanation:
6 miles far is the ranch from the farm
Question 6.
How far is the ranch from the fairgrounds?
Answer:
7 miles
Explanation:
7 miles far is the ranch from the fairgrounds
Plot the point on the coordinate grid.
Question 7.
A(5, 0)
Answer:
Explanation:
5 is on x-axis and 0 on y-axis
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),
having two values written in a fixed order within parentheses.
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Question 8.
B(0, 4)
Answer:
Explanation:
0 is on x-axis and 4 on y-axis
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),
having two values written in a fixed order within parentheses.
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Question 9.
C(8, 8)
Answer:
Explanation:
8 is on x-axis and 8 on y-axis point of coordinate
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),
having two values written in a fixed order within parentheses.
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Question 10.
D(3, 6)
Answer:
Explanation:
3 is on x-axis and 6 on y-axis point of coordinate
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),
having two values written in a fixed order within parentheses.
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Question 11.
E (6, 3)
Answer:
Explanation:
6 is on x-axis and 3 on y-axis point of coordinate
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),
having two values written in a fixed order within parentheses.
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Question 12.
F(9, 2)
Answer:
Explanation:
9 is on x-axis and 2 from y-axis.
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),
having two values written in a fixed order within parentheses.
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Find the distance between the pair of points.
Question 13.
(3, 10) and (8, 10) __________
Answer:
Explanation:
from (3, 10) to (8, 10) south 2 units and east 7 units total 9 units.
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),
having two values written in a fixed order within parentheses.
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Question 14.
(8, 5) and (0, 5) _________
Answer:
Explanation:
from (8,5) to (0,5) 8 units distance.
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),
having two values written in a fixed order within parentheses.
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Question 15.
(1, 7) and (9, 7) ___________
Answer:
Explanation:
from (1, 7) to (9, 7) east 6 units
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),
having two values written in a fixed order within parentheses.
In order pair 1 digit represent the x-axis and second digit is the y-axis
point of intersection is the order pair
Question 16.
Open-Ended Write a problem using ordered pairs to find the distance between two points so that the distance is 7 units.
Answer:
Explanation:
I have choose ordered pair as (4, 8) and (4, 1)
The distance between this two coordinate points is south 7 units.
I’m in a Learning Mindset!
How am I using what I know to plot points?
Answer:
find the value for x on the x-axis
find the y-value on the y-axis.
Coordinate axis from where to point
and order pairs