Question 1: Use the visual model to find the fraction represented by the shaded area. The model shows 4 equal parts with 2 shaded. Write the fraction.

Answer: 2/4

Question 2: Two visual models are given: one with 3 shaded parts out of 6, and another with 1 shaded part out of 2. Are these fractions equivalent? Show your reasoning using the models.

Answer: Yes, 3/6 and 1/2 are equivalent because 3/6 simplifies to 1/2.

Question 3: Construct a visual model showing a fraction equivalent to 3/4. Use the grid to illustrate your answer.

Answer: Students will draw and label a model showing 6/8, for example.

Question 4: Plot the graph of y=2x for x-values between 0 and 4. Use the grid paper to draw the line.

Answer: A straight line passing through points (0,0), (1,2), (2,4), (3,6), (4,8).

Question 5: Using visual models, find an equivalent fraction for 5/10 and explain how the models demonstrate this.

Answer: 5/10 is equivalent to 1/2; the models show the same shaded proportion of the whole.

Question 6: Identify and correct the mistake in this visual model claiming 2/3 is equivalent to 4/6: [Student draws incorrect model].

Answer: The mistake is the incorrect shading; students should see that the shaded parts are not proportional.

Question 7: Calculate the fraction represented by this visual model: 5 shaded out of 10 equal parts.

Answer: 5/10

Question 8: A cake is divided into 8 equal slices. If 3 slices are eaten, what fraction of the cake has been consumed? Show this using a visual model.

Answer: 3/8; students draw a circle divided into 8 parts with 3 shaded.

Question 9: Construct a visual model that shows a fraction equivalent to 7/14 and explain how the model demonstrates this.

Answer: Students may draw a model with 14 parts, 7 shaded, illustrating the equivalence to 1/2.

Question 10: Find two different visual models that show fractions equivalent to 1/3.

Answer: Models could show 2/6 and 4/12, for example.

Question 11: Explain why the visual models for 2/4 and 1/2 are showing the same fraction, and describe how this helps understanding.

Answer: Both models show half of the whole shaded; this visual comparison reinforces the idea of equivalent fractions.

Question 12: Identify the common mistake made when students incorrectly identify 3/4 as not equivalent to 6/8 using visual models, and correct it.

Answer: Students may not have scaled or shaded the models proportionally; the correction involves proper proportion shading.