Parallel Vectors: Art & Patterns in the Real World
Mathematics
Grade 6
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of parallel vectors through real-world contexts involving art and patterns. Students will practice identifying, constructing, and reasoning about parallel vectors and their scalar multiples.
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Parallel Vectors: Art & Patterns in the Real World
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the vector A = (3, 4), find a scalar multiple k such that the vector B = (6, 8) is parallel to A. Show your working.
[2 marks]2.
Construct a vector on the grid that is parallel to the vector (2, -3) and has a magnitude twice as long. Describe your construction steps.
[3 marks]3.
If vector C = (5, 10), is it parallel to vector D = (1, 2)? Explain why or why not.
[2 marks]4.
Plot the vector (4, -2) and then construct a scalar multiple of it that has a length of 10 units. Show your steps.
[3 marks]5.
Art Pattern: A designer creates a pattern using vectors that are all parallel. One pattern line uses the vector (1, 2). If she wants a line that is twice as long and parallel, what is the vector? Show your working.
[2 marks]6.
Explain why the vectors (2, 3) and (4, 6) are parallel. Use scalar multiplication in your explanation.
[3 marks]7.
Identify which of the following pairs are parallel: (7, 14) & (3, 6), (1, 2) & (2, 5), (4, -8) & (-2, 4). Justify your answers.
[2 marks]8.
A pattern uses vectors that are scaled by a factor of 3. If the original vector is (1, -1), what is the scaled vector? Show your working.
[2 marks]9.
In an art project, a designer uses a vector (2, 5) repeatedly in different scales. If she wants to create a vector that is parallel and has length 15, what scalar must she multiply by? Show your working.
[3 marks]10.
Error Analysis: A student claims that the vectors (3, 6) and (6, 12) are not parallel because they are not equal. Identify and explain the mistake.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet