Two Steps: Real-world Applications in Nature & Environment
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on Two Steps transformations within real-world contexts related to nature and the environment. Students will practice procedural skills and solve multi-step problems involving transformations like translation, rotation, and reflection.
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Full preview • 12 questions
Two Steps: Real-world Applications in Nature & Environment
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Introduction
Read the key concept below before attempting the questions.
1.
A two-step transformation involves performing two geometric operations in sequence, such as translating then rotating a shape. To perform a two-step transformation, you first apply the initial transformation and then the second, using the result of the first step as the starting point.
0B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Translate a shape 3 units to the right, then reflect it across the vertical axis. What is the combined effect?
[2 marks]2.
Rotate a shape 90° clockwise, then translate it 4 units downward. Describe the final position if the shape's original position is at the origin.
[3 marks]3.
A leaf is moved 2 meters east, then 3 meters north in a garden. How far has the leaf moved in total?
[2 marks]4.
Construct a triangle on the grid with sides of 4 and 6 units. Then, translate it 3 units left and rotate it 180° about one of its vertices. Describe the final position.
[4 marks]5.
A seedling is reflected across a pond's surface and then translated 5 meters east. If the reflection is over a horizontal line, what is the net transformation?
[2 marks]6.
In a forest, a map shows a tree at a certain point. The tree is first rotated 45° clockwise around a point, then shifted 2 units north. What is the combined transformation’s effect?
[3 marks]7.
Calculate the final coordinates of a pond that is translated 7 units south, then rotated 90° counterclockwise around the origin. The starting point is (4, 8).
[3 marks]8.
A butterfly moves 2 meters east then 2 meters north, then reflects across a vertical line. What is the total movement and reflection effect?
[2 marks]9.
A tree branch is rotated 120° about a point, then translated 5 meters west. Describe the sequence of transformations and their combined effect.
[4 marks]10.
A river flows from the north to the south. A boat translates 4 meters south, then rotates 180° to face north. What is the net transformation and final direction?
[2 marks]11.
Error Analysis: A student reflects a shape across a horizontal line, then translates it 3 units up, but makes a mistake and applies translation first then reflection. Explain the difference and identify the correct sequence.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet