Decomposing Fractions and Area Models

Mrs. Boswell guides 4th graders through Module 5, Lesson 5, focusing on using area models to decompose unit fractions and demonstrate equivalence. The lesson covers decomposing 1/4 into 1/8 and 1/12, and 3/5 into 1/10, using both addition and multiplication sentences to show equivalence.

What is the main concept introduced in this lesson?

• Using area models to multiply fractions

• Using area models to decompose unit fractions

• Using area models to add fractions

• Using area models to subtract fractions

What is the first step in decomposing a fraction using horizontal lines?

• Draw vertical lines

• Draw horizontal lines

• Shade the entire area

• Erase the existing lines

How is 1/4 represented after decomposing it into two rows?

• 1/8

• 1/2

• 1/16

• 1/32

What is the sum of two 1/8 fractions?

• 1/8

• 1/16

• 1/2

• 1/4

How many times is 1/8 used in the multiplication sentence for 1/4?

• Three times

• Two times

• Four times

• One time

What is the unit fraction when 1/4 is divided into three rows?

• 1/8

• 1/3

• 1/6

• 1/12

How many 1/12 fractions make up the original 1/4?

• Three

• Four

• Six

• Twelve

What is the first step in drawing an area model for decomposition?

• Draw the area model

• Erase the existing lines

• Write the multiplication sentence

• Shade the entire area

How many rows are needed for the area model of three-fifths?

• Two

• Ten

• Three

• Five

What is the unit fraction when three-fifths is decomposed into ten parts?

• 1/15

• 1/10

• 1/20

• 1/5