There are 63 students in the cafeteria. There are 9 students at each table.

1. At how many tables are the students seated?
2. Write a division equation to represent your answer.

What is the area of this figure? Explain your reasoning.

6-sided shape. Straight sides. All side lengths meet at right angles. Side lengths. Bottom, 10 centimeters. Right side rises question mark, then goes left 4 centimeters, and goes up 6 centimeters. Top side length, question mark. Left side length, 10 centimeters.

Select all expressions that are equivalent to \(\frac{12}{5}\).

Jada has 8 pennies. Each one weighs \(\frac{5}{2}\) grams. How much do her pennies weigh altogether? Explain your reasoning.

1. Shade \(\frac{1}{2}\) of \(\frac{1}{5}\) of the square.

   

2. Explain where you see \(\frac{1}{2}\) of \(\frac{1}{5}\) in your drawing.

1. Write an expression for how much of the square is shaded.

   

2. Find the value of your expression.

1. Write an equation representing the shaded part of the diagram.

   

2. Explain how the diagram shows each part of your equation.

1. Write an expression for the shaded region of the square.

   

2. Explain how your expression matches the shaded region.

1. Write an expression for the area of the shaded region.

   

2. Explain how the diagram shows your expression.

1. Write a multiplication expression for the area of the shaded region. Explain your reasoning.

   

2. What is the area of the shaded region in square units?

1. \(\frac{7}{10} \times \frac{3}{5} = \underline{\hspace{0.7cm}}\)
2. \(\frac{2}{5} \times \underline{\hspace{0.7cm}} = \frac{8}{45}\)
3. \(\underline{\hspace{0.7cm}} \times \frac{4}{9} = \frac{28}{45}\)

Lin says that \(4\frac{5}{6}\times6\frac{1}{2}\) is greater than 24.

1. Do you agree with Lin? Explain or show your reasoning.
2. What is the value of \(4\frac{5}{6}\times6\frac{1}{2}\)?

This flag of Sweden is \(3\frac{1}{5}\) inches wide and 2 inches tall. The rectangle in the top right is \(\frac{9}{5}\) inches wide and \(\frac{4}{5}\) inch tall.

1. What is the area of the whole flag?

   

2. What is the area of the rectangle in the top right?

Jada folded a square piece of paper in half many times, sometimes horizontally and sometimes vertically. She shaded the folded piece of paper and then unfolded it. Here is a picture.

What fraction of the paper did Jada shade? Explain how you know.