Shading: Error Analysis & Misconceptions
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on shading regions within geometric figures to address common misconceptions and promote accurate understanding of area and region partitioning.
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Shading: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Introduction
Read the following key concept before attempting the questions.
1.
Shading a region within a shape requires accurately identifying the area to be shaded without overlapping other regions. Common mistakes include shading outside the specified boundary or missing parts of the region. Use precise boundary lines and double-check your shaded areas.
[1 mark]B
Fluency & Practice
Answer the following questions to practice shading correctly.
1.
On a square grid, shade exactly half of the square by shading the right half. Ensure your shaded area covers all cells in the right half.
[2 marks]2.
In a rectangle divided into 8 equal parts, shade 3 parts to represent of the whole. Show your shading clearly on the grid.
[2 marks]3.
Shade all the regions in a shape that are to be shaded based on the pattern: shade every alternate square in a 4x4 grid.
[2 marks]C
Problem Solving & Reasoning
Solve these multi-step shading problems and explain your reasoning.
1.
A triangle is divided into 4 smaller triangles of equal area. Shade 3 of these smaller triangles and explain why the shaded region represents /4 of the original triangle.
[3 marks]2.
A rectangle is divided into 9 equal squares. Shade the middle square and its four orthogonally adjacent squares. Describe how this shading relates to the total area.
[3 marks]D
Real-world Applications
Apply shading concepts to real-world contexts.
1.
A classroom poster is divided into different colored regions. If of the poster is shaded blue, and you shade 25% of the remaining unshaded area in red, what fraction of the entire poster is red-shaded? Show your calculations.
[3 marks]E
Challenge & Extension
Attempt these challenging shading problems that require higher reasoning.
1.
Construct a shape on the grid that is divided into 5 regions. Shade 2 of these regions such that the shaded area covers exactly /5 of the total shape. Justify your shading pattern.
[4 marks]2.
On a large square divided into 16 smaller squares, shade a pattern that shows the total shaded area is /16 of the whole. Design your pattern and explain how you determined your shading.
[4 marks]F
Mixed Review & Error Analysis
Identify errors in the shading diagrams and correct them.
1.
A student shaded an area claiming it is /4 of a rectangle, but the shading only covers three-quarters of the rectangle. What mistake did the student make? How would you correct it?
[3 marks]2.
A diagram shows a circle divided into 8 equal sectors; 3 sectors are shaded. A student claims this is /8 of the circle. Is this correct? If not, what is the correct fraction? Explain your reasoning.
[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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet