ANSWER KEYS - Teacher Use Only

The Coordinate Plane | Grade 6

Student Concept Worksheet Answers
1
Quadrant III
(-6, -4): x is negative, y is negative. Both negative = Quadrant III
2
Quadrant IV
(7, -2): x is positive, y is negative. Positive x, negative y = Quadrant IV
3
Quadrant II
(-3, 8): x is negative, y is positive. Negative x, positive y = Quadrant II
4
y-axis
(0, -5): When x = 0, the point is on the y-axis (no horizontal movement from origin)
5
8 units
Same x-coordinate (4). Use y-coordinates: |2 - (-6)| = |2 + 6| = 8 units
6
10 units
Same y-coordinate (5). Use x-coordinates: |7 - (-3)| = |7 + 3| = 10 units
Practice Worksheet Answers

Part A: Identify the Quadrant

# Point Answer Explanation
1(5, 3)Quadrant IBoth positive
2(-4, 7)Quadrant IIx negative, y positive
3(-6, -2)Quadrant IIIBoth negative
4(8, -5)Quadrant IVx positive, y negative
5(0, -4)y-axisx = 0 means on y-axis
6(-7, 0)x-axisy = 0 means on x-axis

Part B: Write the Coordinates

# Description Answer
76 right, 4 down(6, -4)
83 left, 7 up(-3, 7)
95 left, 2 down(-5, -2)
10Only 8 up(0, 8)

Part C: Finding Distance

11
8 units
(2, 5) to (2, -3). Same x. |5 - (-3)| = |5 + 3| = 8 units
12
9 units
(-4, 6) to (5, 6). Same y. |5 - (-4)| = |5 + 4| = 9 units
13
6 units
(-7, -2) to (-7, 4). Same x. |4 - (-2)| = |4 + 2| = 6 units
14
11 units
(-3, -5) to (8, -5). Same y. |8 - (-3)| = |8 + 3| = 11 units

Part D: Word Problems

15
6 blocks
(-3, 4) to (-3, -2). Same x-coordinate. |4 - (-2)| = 6 blocks
16
4 units right, 3 units down
(0, 0) to (4, -3). x = 4 means 4 right, y = -3 means 3 down
17
a) 6 units, b) 4 units, c) 20 units
a) AB: |4 - (-2)| = 6 units (length)
b) BC: |3 - (-1)| = 4 units (width)
c) Perimeter = 2(6) + 2(4) = 12 + 8 = 20 units

Challenge Questions:

#18: Point Q = (3, 5). When reflecting across the x-axis, the x-coordinate stays the same and the y-coordinate changes sign. P(3, -5) reflects to Q(3, 5).

#19: The point is (-5, -3). If y = -3 and x is 2 less than y, then x = -3 - 2 = -5. Point (-5, -3) is in Quadrant III (both negative).

FAST Practice Quiz Answers
1
B) Quadrant II
(-5, 3): x is negative, y is positive = Quadrant II
2
B) 9 units
(4, -2) to (4, 7). Same x-coordinate. |7 - (-2)| = |7 + 2| = 9 units
3
B) (-6, -4)
6 units left = x is -6. 4 units down = y is -4. Point is (-6, -4)
4
Select: (-4, -7), (-8, -1), and (-6, -3)
(-4, -7) - Both negative = Quadrant III
(3, -2) - x positive, y negative = Quadrant IV
(-8, -1) - Both negative = Quadrant III
(-2, 5) - x negative, y positive = Quadrant II
(-6, -3) - Both negative = Quadrant III
5
B) 24 units
Length AB = |5 - (-3)| = 8 units. Width = 4 units. Perimeter = 2(8) + 2(4) = 16 + 8 = 24 units
6
B) The y-axis
(0, -5): When x = 0, the point is on the y-axis (not in any quadrant)
FAST Quiz Scoring Guide
Score Interpretation Recommended Action
6/6 Mastery Ready for graphing linear equations and more complex coordinate geometry.
4-5/6 Approaching Mastery Review specific missed concepts. Focus on quadrant identification or distance calculations as needed.
2-3/6 Developing Reteach using physical coordinate planes. Practice with number line review before combining into coordinate pairs.
0-1/6 Needs Intervention Small group instruction. Start with integer number lines and build to coordinate plane systematically.
FAST Success Kit | Grade 6 | FL B.E.S.T. Standards: MA.6.GR.1.1, MA.6.GR.1.2, MA.6.GR.1.3 | Answer Key - Teacher Use Only