Visual Models: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on using visual models to understand equivalent fractions, identifying common misconceptions, and developing procedural mastery through error analysis and problem solving.
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Full preview • 11 questions
Visual Models: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working clearly in the grid spaces provided.
1.
Using visual models, find the fraction equivalent to 1/2 shown in the diagram below. Explain your reasoning.
[3 marks]2.
Construct a visual model that shows why 2/4 and 1/2 are equivalent. Use shading to illustrate your answer.
[3 marks]3.
Look at the two visual models below showing different fractions. Identify which is incorrect and explain the common misconception displayed.
[4 marks]4.
A student claims that shading half of a circle and shading a quarter of it twice are not equivalent. Use visual models to evaluate this statement and correct any misconception.
[4 marks]5.
Identify the error in the visual model where a rectangle is divided into 8 equal parts, with 3 shaded, and the student claims this represents 3/8 but says it's not equivalent to 3/8. What mistake might they have made?
[2 marks]6.
Using visual models, determine if 3/6 and 1/2 are equivalent. Show your reasoning with diagrams.
[3 marks]7.
A diagram shows a shaded circle divided into 4 equal parts, with 2 shaded. Another diagram shows a rectangle divided into 8 parts, with 4 shaded. Are these visual representations equivalent fractions? Justify your answer.
[4 marks]8.
Construct a visual model to show why multiplying the numerator and denominator by the same number gives an equivalent fraction. Use shading to illustrate your explanation.
[3 marks]9.
A student tries to shade 3/4 of a rectangle but accidentally shades 6/8. They claim it's not equivalent. Use visual models to assess and explain the misconception.
[4 marks]10.
Identify and correct the mistake in this visual model: a square divided into 5 equal parts, with 2 shaded, but the student writes the fraction as 2/5 and says it is not equivalent to 4/10.
[2 marks]11.
Challenge: Construct a visual model to compare the fractions 5/10 and 1/2. Show that they are equivalent and explain your reasoning.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet