# Into Math Grade 5 Module 19 Lesson 1 Answer Key Describe a Coordinate System

We included HMH Into Math Grade 5 Answer Key PDF Module 19 Lesson 1 Describe a Coordinate System to make students experts in learning maths.

## HMH Into Math Grade 5 Module 19 Lesson 1 Answer Key Describe a Coordinate System

I Can identify and describe a point in a coordinate system.

Ann lives 3 blocks east and 5 blocks north of the elementary school. Ben lives 6 blocks east and 3 blocks north of the elementary school. What directions should Ann and Ben use to walk to each other’s home?

Turn and Talk Compare the directions that each person uses to get from one home to the other, and explain the differences between them.
(5,3 )is Ann’ s house and (3, 5 ) is Ben’s house.

Build Understanding

Question 1.
A coordinate system is a plane formed by two perpendicular number lines that intersect. These number lines, or axes, meet at 0 on each number line. This location is called the origin.
Connect to Vocabulary
The number lines that make up a coordinate system are called axes. The x-axis is the horizontal number line. The y-axis is the vertical number line.

A. Label each axis. Label and circle the origin in the coordinate system.

B. A point represents a location in the coordinate system. This location can be represented using two values. Why are two values needed to identify a location?
If he gives the number 6 we don’t know where to mark
either on x-axis or on y-axis.
so, 2 points are needed

Connect to Vocabulary
In a coordinate system, the x-coordinate represents the horizontal distance from the origin. The y-coordinate represents the vertical distance from the origin.

C. One value is called the x-coordinate and the second value is called the y-coordinate. What does each value describe?
location to mark the point

D. Locate the pool in the coordinate system. What is its x-coordinate? What is its y-coordinate?
x-coordinate is 3
y-coordinate is 6

Turn and Talk How far from the x-axis is the pool? How far from the y-axis is the pool?
x-axis is 6 blocks far
y-axis is 3 blocks far.

Question 2.
A city planner uses a coordinate grid to show different locations. Each unit represents one town block. What ordered pair represents the location of the pet store?
Connect to Vocabulary
A pair of numbers in the form (x, y) is called an ordered pair, where x represents the x-coordinate and y represents the y-coordinate. A coordinate grid describes all of the ordered pairs on or above the x-axis and on or to the right of the y-axis within a coordinate system.

A. How can you describe the location of the pet store?
(0,4) on y-axis is the location of pet store.

B. From the origin, how do you move along each axis to reach the pet store?
We are moving only on y-axis (0,4)

C. At what x-coordinate is the pet store? __________
At what y-coordinate is the pet store? ____________
x-coordinate is the pet store is at 0
y-coordinate is the pet store is at 4

D. What is the ordered pair that gives the location of the pet store?

Turn and Talk Could the coordinates of the ordered pair for the pet store be switched? Explain.

Check Understanding

Use the coordinate grid to answer the questions.

Question 1.
How do you move from the origin to reach the library?
(5,9)
Explanation:
on x-axis it coordinates at 9
on y-axis it coordinates at 5 from the origin

Question 2.
What is the ordered pair for the library?
(5,9)
Explanation:
on x-axis it coordinates at 9
on y-axis it coordinates at 5 from the origin

Question 3.
Use Tools A new cell phone app shows locations in town on a map. Each unit on the map represents one block in the town.

What are two ways to name the location of the bus station on the map?
Bus station at the origin
Explanation:
0 on the x-axis and 0 on the y-axis
(0, 0) is the origin.

Explain how the coordinates of the post office and the movie theater differ.
(3, 8) is the post office. (8,3) is the movie theater
Explanation:
on x-axis it coordinates at 8
on y-axis it coordinates at 3 is the post office
on x-axis it coordinates at 3
on y-axis it coordinates at 8 is the movie theater.

Describe how to move from the origin of a coordinate grid to locate the point.

Question 4.
A(7, 4)

Explanation:
on y-axis it coordinates at 7and
on x-axis it coordinates at 4.

Question 5.
B(5, 0)

Explanation:
on y-axis it coordinates at 5 and
on x-axis it coordinates at 0 that is at origin.

Question 6.
C(3, 6)

Explanation:
on y-axis it coordinates at 3 and
on x-axis it coordinates at 6.

Question 7.
Use Structure Micah is at a lodge in the forest. He uses a map where each unit represents 100 yards.

What ordered pair represents the location of the footbridge?
(2, 3)
Explanation:
on y-axis it coordinates at 2 and
on x-axis it coordinates at 3.

From the lodge, how far east and how far north is Cabin #2? What is its ordered pair?
(6, 2)
Explanation:
on east it is 6 and north it is 5

I’m in a Learning Mindset!

How am I able to help others understand ordered pairs?