We included HMH Into Math Grade 5 Answer Key PDF Module 19 Lesson 3 Use Ordered Pairs to Represent Problems to make students experts in learning maths.
HMH Into Math Grade 5 Module 19 Lesson 3 Answer Key Use Ordered Pairs to Represent Problems
I Can use coordinate graphing to represent and solve problems.
Step It Out
Question 1.
Alyssa records the height of her corn plant over several days on the graph.
A. What does the point (8, 10) represent on the graph?
What is represented along the x-axis?
Answer: number of Days after planting
What is represented along the y-axis?
Answer: Number of inches that plant grown
The point (8, 10) shows that on Day the height of the corn plant is ________ inches.
Answer: 10 inches
On day 8 the height of the plant is 10 inches.
B. On what day is the height of the plant 6 inches?
Answer:
On day 3 The height of the plant is 6 inches.
C. Suppose the title of the graph is changed to “Number of Servings of Corn Alyssa Eats Each Week.” Describe how the labels would change.
Answer:
On x-axis it is changes as week
and on y-axis it is changed as Number of servings.
What would the point (8, 10) represent?
Answer:
On 8th week the Number of Servings of Corn Alyssa Eats is 10
Turn and Talk Which point is more likely to be on Alyssa’s graph, (4, 7) or (7, 4)? Explain your reasoning.
Answer:
(4, 7) Because the height of the tree is increasing when we choose (7, 4) the height will be decreasing
decreasing of tree height is not possible.
Question 2.
Alyssa draws a plan for a rectangular garden. Each unit represents 1 foot. She places three vertices of the garden at (12, 12), (18, 12), and (18, 4). Find the location of the fourth vertex and the perimeter of the garden.
A. Plot the vertices (12, 12), (18, 12), and (18, 4) on the coordinate grid.
Answer: (12, 4)
B. What is the x-coordinate of the fourth vertex? Explain how you know.
Answer:
12 is the x-coordinate of the fourth vertex
To form a rectangle the forth vertex should be on (12, 4)
C. What is the y-coordinate of the fourth vertex? Explain how you know.
Answer:
4 is the y-coordinate of the fourth vertex
To form a rectangle the forth vertex should be on (12, 4)
D. What is the location of the fourth vertex? Plot the vertex on the coordinate grid.
Answer:
E. Subtract the x-coordinates to find the length of each horizontal side.
Answer:
The length of horizontal side is 4
from x-coordinate it is 6
6 – 2 = 4
F. Subtract the y-coordinates to find the length of each vertical side.
Answer:
The length of the vertical side is 3
from y-coordinate it is 9
9 – 6 = 3
G. What is the perimeter of the garden? Show your work.
Answer:
perimeter of a rectangle is 2(l + b)
p = 2 (4 + 3)
p = 2 x 7
p = 14 foot.
Turn and Talk What is the area of the garden? Compare your method for finding the area with the method used by a classmate.
Answer:
area of the garden = 12 foot
Explanation:
the area of a rectangle is the product of its length and width.
A = 4 x 3
A = 12
Check Understanding
Use the graph for 1-3.
Question 1.
What could the graph represent?
Answer:
Points scored in the game by Bobby
Question 2.
What does the point (7, 9) represent?
Answer:
In game 7 he scored 9 points
This is represented in coordinate grid.
Question 3.
During which games did Bobby score exactly 4 points?
Answer:
In second game Bobby scored 4 points.
Question 4.
Three vertices of a rectangle are (1, 3), (1, 7), and (6, 7). What are the coordinates of the fourth vertex?
Answer:
Explanation:
The fourth vertex is (6, 3)
To form a rectangle the fourth vertex is (6, 3)
What is the perimeter of the rectangle?
Answer:
perimeter of the rectangle = 2 (l + b)
p = 2 (4 + 5)
p = 2 x 9
p = 18
On Your Own
Use the graph for 5-7.
Question 5.
What could the graph represent?
Answer:
The graph is about Nadia’s running distances.
Explanation:
On x-coordinate it is represented the number of weeks he ran.
and on the y-coordinate the distance he travelled.
Question 6.
What does the point (2, 4) represent?
Answer:
2 represent the x-coordinate that is in second week he ran 4 miles
4 is the distance travelled.
Question 7.
During which weeks did Nadia run exactly 5 miles?
Answer:
In week 1 and week 4 then week 6 Nadia run exactly 5 miles
With the help of coordinate grid we can say that in three weeks he ran 5 miles.
Question 8.
Three vertices of a rectangle are (6, 1), (3, 1), and (3, 8). What are the coordinates of the fourth vertex?
Answer:
Explanation:
To frame a rectangle the fourth vertex is placed on (6, 8)
With the help of fourth vertex framed a rectangle.
What is the perimeter of the rectangle?
Answer:
perimeter of the rectangle = 2 (l + b)
p = 2 (7 + 3)
p = 2 x 10
p = 20
Use the graph for 9 and 10.
Question 9.
STEM One of Europe’s fastest trains is remarkable because its parts are nearly all renewable and sustainable. The coordinate grid shows how far the train can travel in a number of hours. What does the point (3, 660) represent?
Answer:
In 3 hours it can travel 660 miles.
Explanation:
The coordinate grid shows
the x-coordinate describes the number of hours
and y-coordinate describes the distance travelled.
Question 10.
Reason Suppose the title of the graph is changed to “A Runner’s Distance.” How could the labels of the graph change?
Answer:
The hours will be changed to months
because he cannot travel the distance like 220 miles in days or weeks
so, we have to change the y -coordinate axis as months.
What would the point (3, 660) represent?
Answer:
In 3 months he raced about 660 miles.
This depends upon the coordinate discriptions.
Question 11.
Reason The two points shown are the vertices of the left side of a rectangle.
If the rectangle has a perimeter of 20 units, what are the coordinates of the other two vertices? Plot the points.
Answer:
Formula of perimeter = 2( l + b)
here p is given and length is given
we have to find width.
p = 2 ( l + b)
20 = 2 (4 + b)
20 = 8 + 2b
2b = 20 – 8
b = 6
so, breadth is 6
as breadth is 6 we have to move 6 from y-coordinate point.
Explain how you know.
Answer:
as breadth is 5 we have to move 5 from y-coordinate point.
p = 2 (l + b)
p = 2 (4 + 6)
20 = 2 x 10
20 = 20