Negative Reciprocal: Error Analysis & Misconceptions
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying the concept of Negative Reciprocal to identify perpendicular lines, including common misconceptions and error analysis.
Worksheet Preview
Full preview • 11 questions
Negative Reciprocal: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Find the negative reciprocal of the slope 3/4.
[1 mark]2.
Calculate the negative reciprocal of the slope -2.
[1 mark]3.
Determine the negative reciprocal of 0 (horizontal line slope).
[1 mark]4.
Write the negative reciprocal of y = -1/2.
[1 mark]B
Problem Solving & Reasoning
Answer all questions. Show your working clearly.
1.
A line has a slope of 5/2. Write the slope of a line perpendicular to it using negative reciprocal. Explain your reasoning.
[3 marks]2.
Construct a line on the grid with a slope of -3/4. Then, construct a line perpendicular to it. Describe the slopes of both lines and their relationship.
[4 marks]C
Real-world Applications
Answer all questions. Use the grid for drawing if necessary.
1.
A road runs with a slope of 1/3. Find the slope of a street that intersects it perpendicularly. Draw both roads on the grid showing their slopes.
[3 marks]D
Challenge & Extension
Answer all questions. These are more difficult problems to deepen understanding.
1.
Given the line y = 2x + 1, construct a perpendicular line passing through the point (4, 5). Find its equation and slope.
[3 marks]2.
A student incorrectly states that the negative reciprocal of 7 is -7. Identify and correct this misconception.
[2 marks]E
Mixed Review
Answer all questions. These cover various aspects of negative reciprocal concepts.
1.
If a line has a slope of -5/8, what is the slope of a line perpendicular to it?
[1 mark]2.
Construct a line with a slope of 0.5 and draw a perpendicular line on the grid. What is the slope of the perpendicular?
[2 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