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Spectrum Math Grade 5 Chapter 10 Posttest Answers Key
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Graphing
Identify the ordered pair for each point.
Question 1.
a.
Answer: (3,2)
A point on a grid is located by using an ordered pair. An ordered pair lists the x-axis point first and then the y-axis point. Points located on the same grid are called coordinate points, or coordinates.
(3,2) is the ordered pair mentioned in the above grid.
b.
Answer: (4,5)
A point on a grid is located by using an ordered pair. An ordered pair lists the x-axis point first and then the y-axis point. Points located on the same grid are called coordinate points, or coordinates.
(4,5) is the ordered pair mentioned in the above grid.
Question 2.
a.
Answer: (8, 8)
A point on a grid is located by using an ordered pair. An ordered pair lists the x-axis point first and then the y-axis point. Points located on the same grid are called coordinate points, or coordinates.
(8, 8) is the ordered pair mentioned in the above grid.
b.
Answer: (3,5)
A point on a grid is located by using an ordered pair. An ordered pair lists the x-axis point first and then the y-axis point. Points located on the same grid are called coordinate points, or coordinates.
(3,5) is the ordered pair mentioned in the above grid.
Plot the given points on the grid. Label the points.
Question 3.
A (1, 6)
C (5, 4)
D (4, 10)
E (7, 10)
Answer:
The position of any point of a grid can be described by an ordered pair of numbers. The two numbers are named in order: (x, y). Point A on the grid at the right is named by the ordered pair (1,6). It is located at 1 on the horizontal scale (x) and at 6 on the vertical scale (y). The number on the horizontal scale is always named first in an ordered pair. Similarly, the other order pairs are C (5, 4), D (4, 10) and E (7, 10)
Question 4.
F (1, 1)
H (3, 5)
L (9, 10)
I (0, 7)
Answer:
The position of any point of a grid can be described by an ordered pair of numbers. The two numbers are named in order: (x, y). Point F on the grid at the right is named by the ordered pair (1,1). It is located at 1 on the horizontal scale (x) and at 1 on the vertical scale (y). The number on the horizontal scale is always named first in an ordered pair. Similarly, the other order pairs are H (3, 5), L (9, 10) and I (0, 7)
Tell what point on the grid is located at each ordered pair.
Question 5.
a. (0, 4) ____________
Answer: F
The position of any point of a grid can be described by an ordered pair of numbers. The two numbers are named in order: (x, y). Point F on the grid at the right is named by the ordered pair (0,4). It is located at 0 on the horizontal scale (x) and at 4 on the vertical scale (y). The number on the horizontal scale is always named first in an ordered pair.
b. (3, 5) ____________
Answer: D
The position of any point of a grid can be described by an ordered pair of numbers. The two numbers are named in order: (x, y). Point D on the grid at the right is named by the ordered pair (3,5). It is located at 3 on the horizontal scale (x) and at 5 on the vertical scale (y). The number on the horizontal scale is always named first in an ordered pair.
c. (5, 0) ____________
Answer: L
The position of any point of a grid can be described by an ordered pair of numbers. The two numbers are named in order: (x, y). Point L on the grid at the right is named by the ordered pair (5,0). It is located at 5 on the horizontal scale (x) and at 0 on the vertical scale (y). The number on the horizontal scale is always named first in an ordered pair.
Question 6.
a. (5, 6) ____________
Answer: C
The position of any point of a grid can be described by an ordered pair of numbers. The two numbers are named in order: (x, y). Point C on the grid at the right is named by the ordered pair (5,6). It is located at 5 on the horizontal scale (x) and at 6 on the vertical scale (y). The number on the horizontal scale is always named first in an ordered pair.
b. (7, 8) ____________
Answer: B
The position of any point of a grid can be described by an ordered pair of numbers. The two numbers are named in order: (x, y). Point B on the grid at the right is named by the ordered pair (7,8). It is located at 7 on the horizontal scale (x) and at 8 on the vertical scale (y). The number on the horizontal scale is always named first in an ordered pair.
c. (6, 3) ____________
Answer: H
The position of any point of a grid can be described by an ordered pair of numbers. The two numbers are named in order: (x, y). Point H on the grid at the right is named by the ordered pair (6,3). It is located at 6 on the horizontal scale (x) and at 3 on the vertical scale (y). The number on the horizontal scale is always named first in an ordered pair.
Use the coordinate grid to solve each problem.
Question 7.
A line runs from point (4, 3) to (10, 3). How long is the line?
__________ units
Answer: 6
A line runs from point (4, 3) to (10, 3)
Count the number of points between the starting point and end of the line to find the length of the line.
The distance between (4, 3) and (10, 3)is 6.
Question 8.
A rectangle has points (1, 1), (5, 1), (5, 3), and (1, 3). What is the perimeter of the rectangle?
Answer: 12
A rectangle has points (1, 1), (5, 1), (5, 3), and (1, 3).
Count the number of points between the starting point and end of the line to find the length of the line.
The distance between (1, 1) and (5, 1) is 4, which indicates length.
The distance between (1, 1) and (1,3) is 2, which indicates breadth.
Therefore, the perimeter of rectangle = 2 (l+b) = 2 (4 + 2) = 2 (6) = 12
Question 9.
Ross’s mom tells him to walk to his Aunt Sally’s house to bring her some chicken soup. Because Aunt Sally’s house is so far away, Ross takes a break halfway at the park. If Ross’s house is at (3, 1) and Aunt Sally’s house is at (3, 9), at what point is the park? ____________ Plot the points to show Ross’s house, Aunt Sally’s house, and the park.
Answer:
Ross’s mom tells him to walk to his Aunt Sally’s house to bring her some chicken soup. Because Aunt Sally’s house is so far away, Ross takes a break halfway at the park. If Ross’s house is at (3, 1) and Aunt Sally’s house is at (3, 9)
Count the number of points between the starting point and end of the line to find the distance travelled.
The total distance is 8 blocks and half of the distance is 4 points.
Therefore, (3,5) Plot the points to show Ross’s house, Aunt Sally’s house, and the park.
Question 10.
Audrey is meeting her friend at the playground at (1, 7). Audrey lives at (4, 1). Audrey is planning to travel west first and then north. How far does Audrey have to walk to get to the playground?
Audry has to walk ___________ units.
Answer: Audry has to walk 9 units.
Audrey is meeting her friend at the playground at (1, 7). Audrey lives at (4, 1). Audrey is planning to travel west first and then north.
Count the number of points between the starting point and end of the line to find the distance travelled.
So, he travelled 3 blocks to west and 6 blocks to the north. Therefore, he has to walk 3 +6, which is 9 blocks.
Audry has to walk 9 units.