# 5.2 Fractions as Quotients and Fraction Multiplication

## Unit Goals

• Students develop an understanding of fractions as the division of the numerator by the denominator, that is $a \div b = \frac{a}{b}$, and solve problems that involve the multiplication of a whole number and a fraction, including fractions greater than 1.

### Section A Goals

• Represent and explain the relationship between division and fractions.
• Solve problems involving division of whole numbers leading to answers that are fractions.

### Section B Goals

• Connect division to multiplication of a whole number by a non-unit fraction.
• Connect division to multiplication of a whole number by a unit fraction.
• Explore the relationship between multiplication and division.

### Section C Goals

• Find the area of a rectangle when one side length is a whole number and the other side length is a fraction or mixed number.
• Represent and solve problems involving the multiplication of a whole number by a fraction or mixed number.
• Write, interpret and evaluate numerical expressions that represent multiplication of a whole number by a fraction or mixed number.

### Glossary Entries

• area

The number of square units that cover a flat figure without gaps or overlaps.

• cubic unit
A unit cube with side lengths that are standard measurement units that is used to measure volume.

• rectangular prism
A solid figure which has six faces that are rectangles.

• unit cube
A cube whose sides are 1 unit long, used to measure volume.

• volume
The number of unit cubes that fill a solid figure without gaps or overlap.