# 3.5 Fractions as Numbers

## Unit Goals

- Students develop an understanding of fractions as numbers and of fraction equivalence by representing fractions on diagrams and number lines, generating equivalent fractions, and comparing fractions.

### Section A Goals

- Understand that fractions are built from unit fractions such that a fraction $\frac{a}{b}$ is the quantity formed by $a$ parts of size $\frac{1}{b}$.
- Understand that unit fractions are formed by partitioning shapes into equal parts.

### Section B Goals

- Understand a fraction as a number and represent fractions on the number line.

### Section C Goals

- Explain equivalence of fractions in special cases and express whole numbers as fractions and fractions as whole numbers.

### Section D Goals

- Compare two fractions with the same numerator or denominator, record the results with the symbols >, =, or <, and justify the conclusions.