G6 U3 Assessment
Name: _____________________________________ Date:_____________
Grade 6 Unit 3 Graphing The coordinate plane below represents the layout of Michael’s backyard. Use it to answer questions 1-3. statue
rose bush
●
●
palm tree ●
● 1.
fountain
The coordinates (3, –6) represent which point? A
palm tree
B
rose bush
C
fountain
D
statue
2.
Michael is pulling weeds under the rose bush. If he walks 9 units to the right and 4 units up, where would he be? A
statue
B rose bush
C
fountain
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 1
D back door
3.
4.
Which ordered pair best names the location of the rose bush and the quadrant in which it is found? A
(3, –3), Quadrant IV
B
(3, –3), Quadrant III
C
(–3, 3), Quadrant II
D
(–3, 3), Quadrant I
Which point represents (–5½, –6½) on this graph?
●
●
A
J
B
H
C
F
D
G
H
●
F
J
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●
G
Use the coordinate grid below to answer questions 5-8.
N ●
R ●
5.
● ●
Q
●
S
M
Which ordered pair best reflects S over the x axis? A
6.
(1¼, -1½)
B (-1¼, -1½)
C (1¼, 1½)
D (3½, 3½)
Which expression represents the distance between points R and S? A (-1¼) + 1¼
7.
B -1¼ + |1¼|
C |1½| + |1½|
D |-1¼| + |1¼|
Which ordered pair for point P would make MNRP a rectangle? A
8.
(3½, -1½)
B (-1¼, -3½)
C (1¼, 3½)
D (3½, -3½)
What is the absolute value of the x coordinate of point R? A
-1¼
B -1½
C |-1¼|
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 3
D |-1½|
Use the grid map below to answer questions 9-10.
Z
W
●
Y
●
10.
● X
U●
V
9.
●
●
Evaluate the following statements and determine whether they are true or false. Bubble the letter of the true statements. A
The range of the x axis is -1 to +1.
B
The scale of the y axis is tenths.
C
Points Z and V are reflected over the x axis.
D
The length of line segment WY is 0.8 units.
Find the area of the quadrilateral WZXU. A
3 square units
B
2.5 square units
C
1.5 square units
D
2 square units
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 4
11. Evaluate the following statements and determine whether they are true or false. Bubble the letter of the true statements. A
A point at (-x, -y) is in Quadrant IV.
B
A point in Quadrant III reflected across both axes will always be in Quadrant I.
C
The line of symmetry between points (-x, y) and (-x, -y) is the y axis.
D
The reflection of a point in Quadrant II will always be in Quadrant I.
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 5
Use the coordinate grid below to answer questions 12-15. Connect the points with line segments when needed.
K
●
M
●
●
L
H
●
●
J
12. Which three points form an isosceles triangle? A
H, J, L
B H, J, K
C H, M, K
D M, H, L
13. What is the perimeter of the plane shape formed by points HJLM? A
32 units
B 9⅓ units
C 12 units
D 4 units
14. Find the area of the plane shape formed by points HJL. Show your work.
15. Find and name the ordered pair for a point in Quadrant III that would form a pentagon with points HJLM. Label the point X. Connect the points with line segments. Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 6
Use the coordinate grid below to answer question 14.
16.
Name the range and scale of the x axis. Range: _________________________________
Scale: _________________________________
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 7
Use the grid map below to answer questions 15-17. The map scale is quarter miles.
Home
●
Elementary
●
Jr. High
●
Coffee Shop
● ●
Dentist’s Office
●
●
Grocery Store
●
Martial Arts
●
Ballet
Repair Shop
17.
Mrs. Weatherbee had a very busy day. The path of her errands is noted on the map with a dotted line. How many miles did she travel from the time she left home in the morning until the time she picked up her daughter from elementary school?
18.
On Tuesdays and Thursdays, Mrs. Weatherbee’s daughter has ballet class and her son has martial arts class. They are on the same street. How far apart are these classes?
19.
Founders Park is located near the middle of the map. One corner is at (-½, ½). The other three corners are found at the points reflected across the x, y and both axes. What is the area of the park?
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 8
20.
Given the following ordered pairs, what would be an appropriate range and scale for the y axis? {(3, 0.2), (-3, -0.1), (6, 0.8), (2, -0.9), (5, 0.7), (9, -0.5)}
Range: _________________________________
Scale: _________________________________
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 9
21. a. Plot the given points. Find the area of the plane shapes formed by the given ordered pairs. {(-1, -1), (3, -1), (3, 1), (-1, 1)} {(-1, 1), (-1, 3), (3, 1)}
b. What shape is made when these two plane shapes are joined?
c. How could you find the total area of the joined plane shapes?
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 10
Use the graph paper below for question 22.
22.
a. Draw a coordinate grid with a range of -5 to 5 and a scale of 1 on both the x and y axes. b. Plot point B at (-3, 3) on the coordinate grid. Find point B’s reflection over the y axis, and label it with its coordinates and the letter L. c. Plot point T at (5, 4) on the coordinate grid. Find point T’s reflection over the x axis, and label it with its coordinate and the letter K. Find point T’s reflection over both axes, and label it with its coordinate and the letter S. d. What relationship exists between positive and negative x and y coordinates and the quadrant in which the ordered pair falls?
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 11
Use the graph paper below for question 23.
23. The city is planning to install a new park in a strip of vacant land next to the freeway. The park will be 5 miles long and ½ mile wide. The planners are just beginning to sketch out the features of the park. a. Use the coordinate grid given above. If the planners begin mapping the park’s length along the x axis and the width along the y axis what range and scale would you recommend for both axes? x axis range: _______________________________ x axis scale: _______________________________ y axis range: _______________________________ y axis scale: _______________________________ Set up the grid map with the plan you made.
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 12
b. Plot the corners of the park on the coordinate grid, and label the points with their ordered pair. How did you determine where to plot the corners of the park?
c. The park planners would like to install a 4½ mile bike path going straight through the length of the park. Find and label a starting and ending point for the bike path.
d. Use absolute value and write an equation to prove the length of the bike path.
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 13
Grade 6 Unit 3 Graphing The coordinate plane below represents the layout of Michael’s backyard. Use it to answer questions 1-3. statue
rose bush
●
●
palm tree ●
● 1.
fountain
The coordinates (3, –6) represent which point? A
palm tree
B
rose bush
C
fountain
D
statue
2.
Michael is pulling weeds under the rose bush. If he walks 9 units to the right and 4 units up, where would he be? A
statue
B rose bush
C
fountain
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 1
D back door
3.
4.
Which ordered pair best names the location of the rose bush and the quadrant in which it is found? A
(3, –3), Quadrant IV
B
(3, –3), Quadrant III
C
(–3, 3), Quadrant II
D
(–3, 3), Quadrant I
Which point represents (–5½, –6½) on this graph?
●
●
A
J
B
H
C
F
D
G
H
●
F
J
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 2
●
G
Use the coordinate grid below to answer questions 5-8.
N ●
R ●
5.
● ●
Q
●
S
M
Which ordered pair best reflects S over the x axis? A
6.
(1¼, -1½)
B (-1¼, -1½)
C (1¼, 1½)
D (3½, 3½)
Which expression represents the distance between points R and S? A (-1¼) + 1¼
7.
B -1¼ + |1¼|
C |1½| + |1½|
D |-1¼| + |1¼|
Which ordered pair for point P would make MNRP a rectangle? A
8.
(3½, -1½)
B (-1¼, -3½)
C (1¼, 3½)
D (3½, -3½)
What is the absolute value of the x coordinate of point R? A
-1¼
B -1½
C |-1¼|
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 3
D |-1½|
Use the grid map below to answer questions 9-10.
Z
W
●
Y
●
10.
● X
U●
V
9.
●
●
Evaluate the following statements and determine whether they are true or false. Bubble the letter of the true statements. A
The range of the x axis is -1 to +1.
B
The scale of the y axis is tenths.
C
Points Z and V are reflected over the x axis.
D
The length of line segment WY is 0.8 units.
Find the area of the quadrilateral WZXU. A
3 square units
B
2.5 square units
C
1.5 square units
D
2 square units
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 4
11. Evaluate the following statements and determine whether they are true or false. Bubble the letter of the true statements. A
A point at (-x, -y) is in Quadrant IV.
B
A point in Quadrant III reflected across both axes will always be in Quadrant I.
C
The line of symmetry between points (-x, y) and (-x, -y) is the y axis.
D
The reflection of a point in Quadrant II will always be in Quadrant I.
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 5
Use the coordinate grid below to answer questions 12-15. Connect the points with line segments when needed.
K
●
M
●
●
L
H
●
●
J
12. Which three points form an isosceles triangle? A
H, J, L
B H, J, K
C H, M, K
D M, H, L
13. What is the perimeter of the plane shape formed by points HJLM? A
32 units
B 9⅓ units
C 12 units
D 4 units
14. Find the area of the plane shape formed by points HJL. Show your work.
15. Find and name the ordered pair for a point in Quadrant III that would form a pentagon with points HJLM. Label the point X. Connect the points with line segments. Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 6
Use the coordinate grid below to answer question 14.
16.
Name the range and scale of the x axis. Range: _________________________________
Scale: _________________________________
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 7
Use the grid map below to answer questions 15-17. The map scale is quarter miles.
Home
●
Elementary
●
Jr. High
●
Coffee Shop
● ●
Dentist’s Office
●
●
Grocery Store
●
Martial Arts
●
Ballet
Repair Shop
17.
Mrs. Weatherbee had a very busy day. The path of her errands is noted on the map with a dotted line. How many miles did she travel from the time she left home in the morning until the time she picked up her daughter from elementary school?
18.
On Tuesdays and Thursdays, Mrs. Weatherbee’s daughter has ballet class and her son has martial arts class. They are on the same street. How far apart are these classes?
19.
Founders Park is located near the middle of the map. One corner is at (-½, ½). The other three corners are found at the points reflected across the x, y and both axes. What is the area of the park?
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 8
20.
Given the following ordered pairs, what would be an appropriate range and scale for the y axis? {(3, 0.2), (-3, -0.1), (6, 0.8), (2, -0.9), (5, 0.7), (9, -0.5)}
Range: _________________________________
Scale: _________________________________
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 9
21. a. Plot the given points. Find the area of the plane shapes formed by the given ordered pairs. {(-1, -1), (3, -1), (3, 1), (-1, 1)} {(-1, 1), (-1, 3), (3, 1)}
b. What shape is made when these two plane shapes are joined?
c. How could you find the total area of the joined plane shapes?
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 10
Use the graph paper below for question 22.
22.
a. Draw a coordinate grid with a range of -5 to 5 and a scale of 1 on both the x and y axes. b. Plot point B at (-3, 3) on the coordinate grid. Find point B’s reflection over the y axis, and label it with its coordinates and the letter L. c. Plot point T at (5, 4) on the coordinate grid. Find point T’s reflection over the x axis, and label it with its coordinate and the letter K. Find point T’s reflection over both axes, and label it with its coordinate and the letter S. d. What relationship exists between positive and negative x and y coordinates and the quadrant in which the ordered pair falls?
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 11
Use the graph paper below for question 23.
23. The city is planning to install a new park in a strip of vacant land next to the freeway. The park will be 5 miles long and ½ mile wide. The planners are just beginning to sketch out the features of the park. a. Use the coordinate grid given above. If the planners begin mapping the park’s length along the x axis and the width along the y axis what range and scale would you recommend for both axes? x axis range: _______________________________ x axis scale: _______________________________ y axis range: _______________________________ y axis scale: _______________________________ Set up the grid map with the plan you made.
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 12
b. Plot the corners of the park on the coordinate grid, and label the points with their ordered pair. How did you determine where to plot the corners of the park?
c. The park planners would like to install a 4½ mile bike path going straight through the length of the park. Find and label a starting and ending point for the bike path.
d. Use absolute value and write an equation to prove the length of the bike path.
Copyright © Swun Math Grade 6 Unit 3 Assessment, Page 13
