Question 1: Use the visual model of shaded parts to determine the fraction. If 1/2 of the model is shaded, what fraction is shaded if the model is divided into 4 equal parts? Write your answer as a fraction.

Answer: 2/4

Question 2: Compare two visual models: one divided into 3 equal parts with 2 shaded, and another into 6 parts with 4 shaded. Are these fractions equivalent? Answer yes or no and explain briefly.

Answer: Yes, both are equal to 2/3.

Question 3: Construct a visual model to represent the fraction 3/4 and shade the appropriate parts. Label the fraction below the model.

Answer: Student draws a rectangle divided into 4 parts, 3 shaded, and labels '3/4'.

Question 4: Identify the mistake in the following visual model: A model divided into 8 parts with 4 shaded, labeled as 1/2. Is this correct? If not, explain and correct it.

Answer: Incorrect; 4/8 simplifies to 1/2, so the labeling is correct, but the mistake is in the student's understanding that the model shows 1/4. Correctly, it shows 4/8, which equals 1/2.

Question 5: Using visual models, show that 1/3 is equivalent to 2/6 by shading. Describe your steps.

Answer: Divide the model into 3 parts, shade 1; then divide into 6 parts, shade 2. Both shaded parts represent the same amount, demonstrating equivalence.

Question 6: Plot the graph of y=2x where x is from 0 to 5. Use the grid to draw the line.

Answer: Student plots points (0,0), (1,2), (2,4), (3,6), (4,8), (5,10) and connects them.

Question 7: Construct a triangle with sides measuring 3, 4, and 5 units on the grid. Shade the triangle to show the right angle.

Answer: Student draws a right triangle with sides marked 3, 4, and 5, indicating the right angle between the 3 and 4 sides.

Question 8: Identify the common mistake in students' visual models when comparing 2/3 and 4/6. Why is this incorrect?

Answer: Some students think the fractions are different because the shading looks different, but they are equivalent because 2/3 equals 4/6 when simplified.

Question 9: Find an equivalent fraction to 5/10 using a visual model. Show the shading and explain.

Answer: Divide the model into 10 equal parts, shade 5; then create a model with 20 parts, shade 10. Both represent 5/10 and 10/20.

Question 10: Challenge: On the grid, construct a visual model demonstrating that 3/8 is less than 1/2.

Answer: Student draws two models: one divided into 8 parts with 3 shaded and another into 2 parts with 1 shaded. 3/8 is less than 1/2 because 3/8 < 4/8.