Question 1: Shade a rectangular grid to represent 1/2 of the total area. Then shade a different rectangular grid to show an equivalent fraction. Write the equivalent fraction below.

Answer: 2/4

Question 2: Using visual models, compare 3/4 and 6/8. Are these fractions equivalent? Explain your reasoning based on the models.

Answer: Yes, because both models show the same shaded area, representing the same part of the whole.

Question 3: Construct a visual model to show 2/3. Then, draw a model to show an equivalent fraction. Label both fractions.

Answer: Students will produce two models labeled 2/3 and 4/6

Question 4: On a grid, shade to represent 1/4 of the area. Now, shade an area that is equivalent to 3/12. Are they the same? Explain briefly.

Answer: Yes, both shaded areas cover the same fraction of the whole, showing they are equivalent.

Question 5: Identify the mistake: A student shades 2/3 of one rectangle and claims it is equivalent to 4/6. Is this correct? Why or why not?

Answer: Yes, because 2/3 is equivalent to 4/6; the mistake is not in the shading but in the understanding of equivalent fractions.

Question 6: Use visual models to find the fraction equivalent to 5/10. Shade the models accordingly.

Answer: 1/2

Question 7: Plot the graph of y=2x using a visual model on the grid. Label the axes.

Answer: Students draw the line y=2x, labeling x and y axes.

Question 8: Construct a triangle with sides representing 2/3 and 4/6 on the grid to show their equivalence visually. Label the lengths.

Answer: Triangle with sides labeled 2/3 and 4/6, demonstrating they are the same length.

Question 9: A rectangle is divided into 8 equal parts, and 3 parts are shaded. Show an equivalent fraction using another division of the same rectangle.

Answer: 3/8 or 6/16

Question 10: Identify and correct the error: A student shades 2/5 of a rectangle and claims it is equivalent to 4/10, but the shading does not match. What is the mistake?

Answer: The shading actually shows 2/5, which is equivalent to 4/10; the mistake was in the student's claim that they did not match.

Question 11: Challenge: Use a visual model to prove that 7/14 is equivalent to 1/2. Draw and explain briefly.

Answer: Both models show the same shaded area, demonstrating the fractions are equivalent because 7/14 simplifies to 1/2.