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.

**Spark Your Learning**

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?

Use the grid to justify your answer.

Answer:

**Turn and Talk** Compare the directions that each person uses to get from one home to the other, and explain the differences between them.

Answer:

(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.

Answer:

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?

Answer:

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?

Answer:

location to mark the point

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

Answer:

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?

Answer:

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?

Answer:

(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?

Answer:

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? ____________

Answer:

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?

Answer: (0,4)

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

Answer: No, we cannot switch.

**Check Understanding**

**Use the coordinate grid to answer the questions.**

Question 1.

How do you move from the origin to reach the library?

Answer:

(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?

Answer:

(5,9)

Explanation:

on x-axis it coordinates at 9

on y-axis it coordinates at 5 from the origin

**On Your Own**

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?

Answer:

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.

Answer:

(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)

Answer:

Explanation:

on y-axis it coordinates at 7and

on x-axis it coordinates at 4.

Question 5.

B(5, 0)

Answer:

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)

Answer:

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?

Answer:

(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?

Answer:

(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?

Answer:

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.

where the two point met that is the origin.