All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 7 Lesson 8 Ordered Pairs will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 7 Lesson 8 Ordered Pairs
A coordinate plane is formed when two perpendicular number lines intersect. One number line has numbers along the horizontal x-axis (across) and the other has numbers along the vertical y-axis (up). The point where the two axes intersect is the origin.
Math in My World
Example 1
Name the ordered pair for the location of Amy’s house.
An ordered pair is a pair of numbers that is used to name a point.
1. Start at the origin (________, _________). Move right along the x-axis until you are under Amy’s house. The x-coordinate of the ordered pair is __________.
Answer:
The origin (0, 0)
The x-coordinate of the ordered pair is 3 units.
Explanation:
Start at the origin (0, 0).
Move right along the x-axis until you are under Amy’s house.
The x-coordinate of the ordered pair is 3.
2. Move up until you reach Amy’s house. The y-coordinate is __________.
So, Amy’s house is located at the ordered pair (_________, _________).
Answer:
y-coordinate is 5,
The Amy’s house is located at the ordered pair (3, 5).
Explanation:
Move up until you reach Amy’s house. The y-coordinate is 5,
So, Amy’s house is located at the ordered pair (3, 5).
Example 2
Name the point for the ordered pair (2, 3).
1. Start at the origin (_________, _________). Move right along the x-axis until you reach ________, the x-coordinate.
Answer:
the origin (0, 0).
the x-axis until you reach 2, the x-coordinate.
Explanation:
Start at the origin (0, 0).
Move right along the x-axis until you reach2, the x-coordinate.
2. Move up until you reach __________, the y-coordinate.
So, point _________ is named by the ordered pair (2, 3).
Answer:
The point D is 3 units on y – axis.
Explanation:
Move up until you reach 3, the y-coordinate.
So, point D is named by the ordered pair (2, 3).
Guided Practice
Use the graph for Exercises 1 and 2.
Question 1.
Locate and name the ordered pair for point A.
The x-coordinate of the ordered pair is __________.
The y-coordinate is __________.
So, point A is named by the ordered pair (________, __________).
Answer:
So, point A is named by the ordered pair (2, 1).
Explanation:
Locate and name the ordered pair for point A.
The x-coordinate of the ordered pair is 2.
The y-coordinate is 1 as shown above.
Question 2.
Locate and name the point at (4, 3).
Move _________ units to the right.
Move up __________ units.
So, point ____________ is named by the ordered pair (4, 3).
Answer:
So, point B is named by the ordered pair (4, 3).
Explanation:
Locate and name the point at (4, 3).
Move 4 units to the right.
Move up 3 units as shown above.
Talk Math
Are the points at (3, 8) and (8, 3) in the same location? Explain your reasoning.
Answer:
No,
Explanation:
Let P(3, 8) and Q(8, 3).
For point P(3, 8),
The x-coordinate of the ordered pair is 3.
The y-coordinate is 8.
So, point P is named by the ordered pair (3, 8).
For point Q,
The x-coordinate of the ordered pair is 8.
The y-coordinate is 3.
So, point Q is named by the ordered pair (8, 3).
Independent Practice
Use the graph for Exercises 3-14.
Locate and name each ordered pair.
Question 3.
A ____________
Answer:
A(3, 4)
Explanation:
For point A,
The x-coordinate of the ordered pair is 3.
The y-coordinate is 4.
So, point A is named by the ordered pair (3, 4).
Question 4.
R ____________
Answer:
(5, 5)
Explanation:
For point R,
The x-coordinate of the ordered pair is 5.
The y-coordinate is 5.
So, point R is named by the ordered pair (5, 5).
Question 5.
J ____________
Answer:
J(5, 4)
Explanation:
For point J,
The x-coordinate of the ordered pair is 5.
The y-coordinate is 4.
So, point J is named by the ordered pair (5, 4).
Question 6.
E ____________
Answer:
E(3, 0)
Explanation:
For point E,
The x-coordinate of the ordered pair is 3.
The y-coordinate is 0.
So, point E is named by the ordered pair (3, 0).
Question 7.
Q ____________
Answer:
Q(1, 8)
Explanation:
For point Q,
The x-coordinate of the ordered pair is 1.
The y-coordinate is 8.
So, point Q is named by the ordered pair (1, 8).
Question 8.
N ____________
Answer:
Origin point (0, 0)
Explanation:
For point N,
The x-coordinate of the ordered pair is 0.
The y-coordinate is 0.
So, point N is named by the ordered pair (0, 0).
Locate and name each point.
Question 9.
(2, 2) ____________
Answer:
Point L (2 , 2)
Explanation:
The x-coordinate of the ordered pair is 2
The y-coordinate is 2
So, point L is named by the ordered pair (2, 2).
Question 10.
(0, 3) ____________
Answer:
Point H (0 , 3)
Explanation:
The x-coordinate of the ordered pair is 0.
The y-coordinate is 3.
So, point H is named by the ordered pair (0 , 3).
Question 11.
(1, 5) ____________
Answer:
Point G(1 , 5)
Explanation:
The x-coordinate of the ordered pair is 1.
The y-coordinate is 5.
So, point G is named by the ordered pair (1 , 5).
Question 12.
(6, 7) ____________
Answer:
Point M(6, 7 )
Explanation:
The x-coordinate of the ordered pair is 6.
The y-coordinate is 7.
So, point M is named by the ordered pair (6, 7).
Question 13.
(4, 8) ____________
Answer:
Point P (4, 8)
Explanation:
The x-coordinate of the ordered pair is 4.
The y-coordinate is 8.
So, point P is named by the ordered pair P(4, 8).
Question 14.
(7, 0) ____________
Answer:
Point C(7, 0)
Explanation:
The x-coordinate of the ordered pair is 7.
The y-coordinate is 0.
So, point C is named by the ordered pair C(7, 0).
Problem Solving
Use the map of the playground at the right for Exercises 15-20.
Question 15.
What is located at (7, 3)?
Answer:
swings
Point (7, 3)
Explanation:
The x-coordinate of the ordered pair is 7.
The y-coordinate is 3.
So, point N is named by the ordered pair ( 7, 3).
Question 16.
Write the ordered pair for the sandbox.
Answer:
sandbox
Point (7, 1)
Explanation:
The x-coordinate of the ordered pair is 7.
The y-coordinate is 1.
So, point sandbox is named by the ordered pair (7, 1).
Question 17.
Suppose the x-coordinate of the water fountain was moved to the right 1 unit. What would be the new ordered pair of the water fountain?
Answer:
water fountain
Point (2 , 1 )
Explanation:
The x-coordinate of the ordered pair is 2.
The y-coordinate is 1.
So, point water fountain is named by the ordered pair ( 2, 1).
Question 18.
If the y-coordinate of the slide was moved up 2 units, what would be the ordered pair of the slide?
Answer:
Slide (3 , 5)
Explanation:
The x-coordinate of the ordered pair is 3.
The y-coordinate is 5.
So, point slide, is named by the ordered pair ( 3, 5).
Question 19.
Cam identified a point that was 4 units above the origin and 8 units to the right of the origin. What was the ordered pair?
Answer:
Point ( 8, 4)
Explanation:
The x-coordinate of the ordered pair is 8.
The y-coordinate is 4.
So, point P is named by the ordered pair ( 8, 4).
Question 20.
Suppose point (6, 5) was moved 3 units to the left and moved 2 units down. Write the new ordered pair.
Answer:
Point ( 3, 3)
Explanation:
point (6, 5) was moved 3 units to the left and moved 2 units down.
6 – 3 = 3
The x-coordinate of the ordered pair is 3.
5 – 2 = 3
The y-coordinate is 3.
So, point slide is named by the ordered pair (3 , 3 ).
HOT Problems
Question 21.
Mathematical PRACTICE Make Sense of Problems Name the ordered pair whose x-coordinate and y-coordinate are each located on an axis.
Answer:
Point N(0, 0) at origin
The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane. The coordinate plane has two axes at right angles to each other, called the x and y axis. The coordinates of a given point represent how far along each axis the point is located.
Question 22.
Building on the Essential Question How is the location of a point on a grid described?
Answer:
The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.
Explanation:
The coordinate plane has two axes at right angles to each other, called the x and y axis.
The coordinates of a given point represent how far along each axis the point is located.
McGraw Hill My Math Grade 5 Chapter 7 Lesson 8 My Homework Answer Key
Practice
Use the graph for Exercises 1-6. Locate and name each ordered pair.
Question 1.
M ___________
Answer:
Point M (3 , 7 )
Explanation:
The x-coordinate of the ordered pair is 3.
The y-coordinate is 7.
So, point M is named by the ordered pair (3 , 7).
Question 2.
P ___________
Answer:
Point P(6 , 3)
Explanation:
The x-coordinate of the ordered pair is 6.
The y-coordinate is 3.
So, point P is named by the ordered pair (6, 3).
Question 3.
J ___________
Answer:
Point J( 4, 5)
Explanation:
The x-coordinate of the ordered pair is 4.
The y-coordinate is 5.
So, point J is named by the ordered pair (4 , 5).
Locate and name each point.
Question 4.
(1, 3) ___________
Answer:
Point N( 1, 3 )
Explanation:
The x-coordinate of the ordered pair is 1.
The y-coordinate is 3.
So, point N is named by the ordered pair (1, 3).
Question 5.
(5, 6) ___________
Answer:
Point L( 5, 6 )
Explanation:
The x-coordinate of the ordered pair is 5.
The y-coordinate is 6.
So, point L is named by the ordered pair ( 5, 6).
Question 6.
(0, 6) ___________
Answer:
Point H (0 , 6)
Explanation:
The x-coordinate of the ordered pair is 0.
The y-coordinate is 6.
So, point H is named by the ordered pair (0, 6).
Problem Solving
Use the map for Exercises 7-10.
Question 7.
What ordered pair gives the location of the storage barn?
Answer:
Point (5 , 6)
Explanation:
The x-coordinate of the ordered pair is 5.
The y-coordinate is 6.
So, point N is named by the ordered pair (5 , 6).
Question 8.
What is located at (1, 7)?
Answer:
Grain Silo is located on Point (1, 7 ).
Explanation:
The x-coordinate of the ordered pair is 1.
The y-coordinate is 7.
So, point N is named by the ordered pair ( 1, 7).
Question 9.
What is located at (6, 2)?
Answer:
Chicken coop is located Point (6, 2)
Explanation:
The x-coordinate of the ordered pair is 6.
The y-coordinate is 2.
So, point is named chicken coop by the ordered pair ( 6, 2).
Question 10.
Mathematical PRACTICE Model Math Jimmy says that the horse barn is located at (3, 1) on the map. Is his ordered pair correct? Explain.
Answer:
Point ( 1, 3)
Explanation:
The x-coordinate of the ordered pair is 1.
The y-coordinate is 3.
So, point horse barn is named by the ordered pair (1, 3).
Vocabulary Check
Question 11.
Fill in each blank with the correct word to complete the sentence.
The ____________ number in an ordered pair is the y-coordinate and corresponds to a number on the ____________.
Answer:
The x – coordinate number in an ordered pair is the y-coordinate and corresponds to a number on the y – coordinate.
Explanation:
The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.
Test Practice
Question 12.
What ordered pair represents point D on the coordinate grid?
(A) (5, 7)
(B) (5, 2)
(C) (2, 5)
(D) (3, 1)
Answer:
Option(B)
Explanation:
The x-coordinate of the ordered pair is .
The y-coordinate is .
So, point N is named by the ordered pair (5, 2 ).