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.