Coordinates Change: Error Analysis & Misconceptions
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and correcting misconceptions about coordinates change during reflection across the y-axis, with error analysis and varied question types.
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Coordinates Change: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Reflect the point (3, 5) across the y-axis. What are the new coordinates?
[2 marks]2.
Reflect the point (-6, -2) across the y-axis. What are the new coordinates?
[2 marks]3.
If a point is at (0, -4), what is its reflection across the y-axis?
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems and explain your reasoning.
1.
A point is at (x, y). Its reflection across the y-axis is at (-x, y). If the reflected point is at (-7, 4), what was the original point?
[3 marks]2.
A triangle has vertices at (2, 3), (-4, 5), and (1, -2). Reflect the triangle across the y-axis. List the new vertices and explain how you found each.
[4 marks]C
Real-world Applications
Apply your understanding to solve real-world style problems.
1.
A map shows a park with a point at (8, -3) representing a fountain. If the park is reflected across the y-axis, where will the fountain be located?
[3 marks]D
Challenge & Extension
Tackle these challenging problems to deepen your understanding.
1.
Construct a triangle with vertices at (1, 2), (4, 5), and (1, 8). Reflect this triangle across the y-axis and verify that the new vertices are correct. Describe the process.
[4 marks]2.
A point at (x, y) is incorrectly reflected to (x, -y). Identify this mistake and explain why it is incorrect for reflection across the y-axis.
[3 marks]E
Mixed Review
Answer these questions to review various aspects of coordinate change.
1.
A point at (5, -7) is reflected across the y-axis. What are the new coordinates?
[2 marks]2.
True or False: Reflecting a point across the y-axis always changes the y-coordinate.
[1 mark]3.
Describe the reflection of the point (x, y) across the y-axis using a formula.
[2 marks]F
Error Analysis & Misconceptions
Review the common mistake below. Identify the error and correct it.
1.
A student reflects the point (4, -3) to (4, 3), claiming it's correct. Is this correct? If not, explain the mistake and provide the correct reflection.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet