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 unitA unit cube with side lengths that are standard measurement units that is used to measure volume.
- rectangular prismA solid figure which has six faces that are rectangles.
- unit cubeA cube whose sides are 1 unit long, used to measure volume.
- volumeThe number of unit cubes that fill a solid figure without gaps or overlap.