Decomposing the Fraction Four-Sevenths

Mrs. Boswell guides 4th-grade students through Module 5, Lesson 2, focusing on decomposing fractions using tape diagrams and number sentences. The lesson involves drawing and shading tape diagrams to represent fractions, specifically four-sevenths, and recording the decomposition in three different ways. Students are tasked with finding two additional ways to decompose the fraction, reinforcing their understanding of fractions and decomposition.

What is the main topic of Module 5 Lesson 2?

• Decomposing fractions

• Multiplying fractions

• Subtracting fractions

• Adding fractions

What is the first step in decomposing a fraction using a tape diagram?

• Divide the tape diagram into equal parts based on the denominator

• Shade the entire diagram

• Write a number sentence

• Add the fractions together

How many parts should the tape diagram be divided into for the fraction four-sevenths?

• Seven

• Four

• Three

• Five

What does the numerator in a fraction tell you when shading a tape diagram?

• The number of parts to leave unshaded

• The number of parts to erase

• The number of parts to shade

• The total number of parts

In the example given, how many parts of the tape diagram are shaded for four-sevenths?

• Three

• Four

• Five

• Seven

What is the purpose of using number sentences in decomposing fractions?

• To add the fractions together

• To express the decomposition in a mathematical form

• To visually represent the fractions

• To multiply the fractions

Which of the following is a correct decomposition of four-sevenths?

• 1/7 + 1/7 + 1/7 + 1/7

• 2/7 + 2/7

• 1/7 + 3/7

• 4/7 + 0/7

Why must the denominator remain the same in a number sentence?

• Because it is the sum of the fractions

• Because it is the numerator

• Because it changes with each fraction

• Because it represents the total number of parts

What is left over if you use one part in the decomposition of four-sevenths?

• Two parts

• Five parts

• Three parts

• Four parts

How many different ways are students asked to decompose the fraction four-sevenths?

• Four

• One

• Two

• Three