Drawing: Fluency & Practice on Tangents to Curves
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet designed to develop fluency and practice in drawing tangents to various curves, including procedural mastery and problem-solving.
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Drawing: Fluency & Practice on Tangents to Curves
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working clearly in the grid spaces provided.
1.
On the graph, draw the curve y = x^2. At the point (2,4), construct the tangent line to the curve. Use the grid to accurately sketch the tangent and indicate its slope.
[3 marks]2.
Construct the tangent to the circle with center at (4,4) and radius 3, at the point (7,4). Show all steps in your construction.
[3 marks]3.
Plot the graph of y = 2x + 1. Draw the tangent to this line at the point where x = 3. Show the tangent line clearly.
[2 marks]4.
Given the curve y = x^3, draw the tangent at the point (1,1). Use your grid to ensure accuracy.
[3 marks]5.
Construct the tangent line to the parabola y = x^2 - 4x + 3 at the point (3,0). Show all construction steps.
[3 marks]6.
Draw a smooth curve passing through the points (1,2), (2,3), and (3,2). At point (2,3), draw the tangent line accurately.
[3 marks]7.
A person is designing a roller coaster path that follows the curve y = 0.5x^2. At x=4, construct the tangent line to the path. Show your work.
[4 marks]8.
Given the curve y = x^2 + 2x + 1, draw the tangent at the point where x = -1. Use the grid to be precise.
[2 marks]9.
Construct the tangent line to the cubic curve y = x^3 - 3x at the point (1, -2). Show construction steps clearly.
[3 marks]10.
On the graph, sketch the curve y = x^2, then draw the tangent at the point where x = 0. Label the tangent line.
[2 marks]11.
Identify and correct the mistake in the following construction: A student draws a tangent to y = x^2 at (2,4) but the line appears to intersect the curve at a different point. Explain the mistake and how to fix it.
[4 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet