Lesson 11 Fractional Side Lengths Greater Than 1

- Let’s find the area of more rectangles.

Warm-up True or False: Thirds

Decide if each statement is true or false. Be prepared to explain your reasoning.

$10 \div 3 = 10 \times \frac{1}{3}$
$10 \div 3 = 10 \frac{1}{3}$
$\frac{10}{3} = 5 \times \frac{2}{3}$

Activity 1 Greater Than One

Find the area of the shaded region in square units. Explain or show your reasoning.
Select all the expressions which represent the area of the shaded region in square units. For each correct expression, explain your reasoning.
1. $4 \frac{2}{3} \times 4$
2. $16 \times \frac{8}{3}$
3. $\frac{14}{3} \times 4$
4. $\frac{56}{3}$
5. $4 \times \frac{5}{3}$

Activity 2 Diagrams and Expressions for Area

Problem 1

Area diagram. Length, 2 and 1 fourth. Width, 2.

Write a multiplication expression to represent the area of the shaded region.
What is the area of the shaded region?

Problem 2

Area diagram. Length, 3 and 3 fourths. Width, 3.

Write a multiplication expression to represent the area of the shaded region.
What is the area of the shaded region?

Practice Problem

Problem 1

The shaded part of this diagram shows the top of a stove. What is the area of the stove top? Explain or show your reasoning.

Area diagram. Length, 3 and 1 half feet. Width, 2 feet.