Question 1: Use visual models to find the product of 2/3 and 4. Draw the model and calculate the answer.

Answer: 8/3

Question 2: Construct a visual model to multiply 3/4 by 5. Write the resulting fraction and explain your model.

Answer: 15/4

Question 3: Calculate 1/2 × 6 using a visual model. Show your work.

Answer: 3

Question 4: A garden is 3/4 of an acre. If a gardener multiplies this area by 3, what is the total area? Draw a visual model to support your answer.

Answer: 9/4 acres

Question 5: Simplify and find the product of 5/8 and 2 using a visual model.

Answer: 5/4

Question 6: Plot the graph of y = (1/2) × x for x values 0 to 4. Draw your line on the grid.

Answer: A line passing through points (0,0), (1,1/2), (2,1), (3, 3/2), (4, 2)

Question 7: Construct a visual model to show why 2/3 × 3 equals 2. Explain the reasoning.

Answer: The model shows two groups of 1/3 each, totaling 2.

Question 8: Identify and correct the mistake in this visual model: multiplying 1/4 by 4 results in 1, but the model shows only 3/4.

Answer: The model failed to represent all four parts; it should show four sections of 1/4 each.

Question 9: An apple pie is cut into 8 equal slices. If a person eats 3/4 of the pie, how many slices did they eat? Use a visual model to find the answer.

Answer: 6 slices

Question 10: Compare the visual models of 1/3 × 3 and 2/3 × 3. What do you observe? Write a brief explanation.

Answer: Both models show the whole, but the 2/3 model has larger sections, illustrating the larger fraction.

Question 11: Challenge: Use a visual model to multiply 4/5 by 5. Show your model and state the result.

Answer: 4