Worksheet for graphing ordered pairs on a coordinate plane with whole and half units.
Graphing on the Coordinate Plane with Whole and Half Units worksheet showing a grid with labeled points to plot and label.
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Step-by-step solution for: 6.NS.6 Graphing on the Coordinate Plane with Whole and Half Units (4 sheets)
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Show Answer Key & Explanations
Step-by-step solution for: 6.NS.6 Graphing on the Coordinate Plane with Whole and Half Units (4 sheets)
Let's solve the problem step by step.
---
Graph and label the following ordered pairs on the coordinate plane with whole and half-unit increments.
The coordinate plane is a grid with:
- The x-axis (horizontal) ranging from -4 to 5
- The y-axis (vertical) ranging from -5 to 5
- Each square represents 1 unit, and we can use half-units (e.g., 0.5, 1.5, etc.)
We are given 16 points labeled A through P:
| Point | Coordinates |
|-------|-------------|
| A | (1, 0) |
| B | (0.5, 1) |
| C | (-2, 3.5) |
| D | (2.5, 3.5) |
| E | (-4, -3) |
| F | (-2.5, -1) |
| G | (4, -0.5) |
| H | (-1.5, 1.5) |
| I | (0, 0) |
| J | (-1.5, -2) |
| K | (0, -4.5) |
| L | (-2.5, -3.5)|
| M | (2, -4) |
| N | (1.5, -2) |
| O | (4, 2.5) |
| P | (0.5, -1.5) |
---
We will go through each point and explain how to locate it on the coordinate plane.
---
#### A. (1, 0)
- Move 1 unit right from origin.
- Stay on the x-axis (y = 0).
- Mark and label "A".
#### B. (0.5, 1)
- Move 0.5 units right (halfway between 0 and 1).
- Then move 1 unit up.
- Mark and label "B".
#### C. (-2, 3.5)
- Move 2 units left (negative x).
- Then move 3.5 units up (3 full units + half).
- Mark and label "C".
#### D. (2.5, 3.5)
- Move 2.5 units right (2 full + half).
- Move 3.5 units up.
- Mark and label "D".
#### E. (-4, -3)
- Move 4 units left.
- Move 3 units down.
- Mark and label "E".
#### F. (-2.5, -1)
- Move 2.5 units left.
- Move 1 unit down.
- Mark and label "F".
#### G. (4, -0.5)
- Move 4 units right.
- Move 0.5 units down (halfway between 0 and -1).
- Mark and label "G".
#### H. (-1.5, 1.5)
- Move 1.5 units left.
- Move 1.5 units up.
- Mark and label "H".
#### I. (0, 0)
- This is the origin.
- Mark and label "I".
#### J. (-1.5, -2)
- Move 1.5 units left.
- Move 2 units down.
- Mark and label "J".
#### K. (0, -4.5)
- Stay at x = 0 (on y-axis).
- Move 4.5 units down (4 full + half).
- Mark and label "K".
#### L. (-2.5, -3.5)
- Move 2.5 units left.
- Move 3.5 units down.
- Mark and label "L".
#### M. (2, -4)
- Move 2 units right.
- Move 4 units down.
- Mark and label "M".
#### N. (1.5, -2)
- Move 1.5 units right.
- Move 2 units down.
- Mark and label "N".
#### O. (4, 2.5)
- Move 4 units right.
- Move 2.5 units up.
- Mark and label "O".
#### P. (0.5, -1.5)
- Move 0.5 units right.
- Move 1.5 units down.
- Mark and label "P".
---
1. Use a pencil or pen to plot each point accurately.
2. For half-units, estimate halfway between two tick marks.
3. Label each point clearly with its letter.
4. Make sure all points are placed correctly based on their x and y coordinates.
---
- Always go horizontal first (x), then vertical (y).
- Negative x → left; positive x → right.
- Negative y → down; positive y → up.
- Half units are halfway between integers.
---
For B (0.5, 1):
- Start at (0,0)
- Go halfway between 0 and 1 on the x-axis → x = 0.5
- Go up 1 unit → y = 1
- Place a dot and write "B"
Repeat this process for all points.
---
Once all points are plotted, your graph should show:
- Points scattered across all four quadrants and axes.
- Some near the origin, others near edges.
- Proper labeling.
Let me know if you'd like a visual representation or help checking specific points!
---
Task:
Graph and label the following ordered pairs on the coordinate plane with whole and half-unit increments.
The coordinate plane is a grid with:
- The x-axis (horizontal) ranging from -4 to 5
- The y-axis (vertical) ranging from -5 to 5
- Each square represents 1 unit, and we can use half-units (e.g., 0.5, 1.5, etc.)
We are given 16 points labeled A through P:
| Point | Coordinates |
|-------|-------------|
| A | (1, 0) |
| B | (0.5, 1) |
| C | (-2, 3.5) |
| D | (2.5, 3.5) |
| E | (-4, -3) |
| F | (-2.5, -1) |
| G | (4, -0.5) |
| H | (-1.5, 1.5) |
| I | (0, 0) |
| J | (-1.5, -2) |
| K | (0, -4.5) |
| L | (-2.5, -3.5)|
| M | (2, -4) |
| N | (1.5, -2) |
| O | (4, 2.5) |
| P | (0.5, -1.5) |
---
Step-by-step Guide to Graphing Each Point:
We will go through each point and explain how to locate it on the coordinate plane.
---
#### A. (1, 0)
- Move 1 unit right from origin.
- Stay on the x-axis (y = 0).
- Mark and label "A".
#### B. (0.5, 1)
- Move 0.5 units right (halfway between 0 and 1).
- Then move 1 unit up.
- Mark and label "B".
#### C. (-2, 3.5)
- Move 2 units left (negative x).
- Then move 3.5 units up (3 full units + half).
- Mark and label "C".
#### D. (2.5, 3.5)
- Move 2.5 units right (2 full + half).
- Move 3.5 units up.
- Mark and label "D".
#### E. (-4, -3)
- Move 4 units left.
- Move 3 units down.
- Mark and label "E".
#### F. (-2.5, -1)
- Move 2.5 units left.
- Move 1 unit down.
- Mark and label "F".
#### G. (4, -0.5)
- Move 4 units right.
- Move 0.5 units down (halfway between 0 and -1).
- Mark and label "G".
#### H. (-1.5, 1.5)
- Move 1.5 units left.
- Move 1.5 units up.
- Mark and label "H".
#### I. (0, 0)
- This is the origin.
- Mark and label "I".
#### J. (-1.5, -2)
- Move 1.5 units left.
- Move 2 units down.
- Mark and label "J".
#### K. (0, -4.5)
- Stay at x = 0 (on y-axis).
- Move 4.5 units down (4 full + half).
- Mark and label "K".
#### L. (-2.5, -3.5)
- Move 2.5 units left.
- Move 3.5 units down.
- Mark and label "L".
#### M. (2, -4)
- Move 2 units right.
- Move 4 units down.
- Mark and label "M".
#### N. (1.5, -2)
- Move 1.5 units right.
- Move 2 units down.
- Mark and label "N".
#### O. (4, 2.5)
- Move 4 units right.
- Move 2.5 units up.
- Mark and label "O".
#### P. (0.5, -1.5)
- Move 0.5 units right.
- Move 1.5 units down.
- Mark and label "P".
---
✔ Final Instructions:
1. Use a pencil or pen to plot each point accurately.
2. For half-units, estimate halfway between two tick marks.
3. Label each point clearly with its letter.
4. Make sure all points are placed correctly based on their x and y coordinates.
---
🔍 Tips for Accuracy:
- Always go horizontal first (x), then vertical (y).
- Negative x → left; positive x → right.
- Negative y → down; positive y → up.
- Half units are halfway between integers.
---
📌 Example of Plotting:
For B (0.5, 1):
- Start at (0,0)
- Go halfway between 0 and 1 on the x-axis → x = 0.5
- Go up 1 unit → y = 1
- Place a dot and write "B"
Repeat this process for all points.
---
Once all points are plotted, your graph should show:
- Points scattered across all four quadrants and axes.
- Some near the origin, others near edges.
- Proper labeling.
Let me know if you'd like a visual representation or help checking specific points!
Parent Tip: Review the logic above to help your child master the concept of 6th grade graphing worksheet.