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