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.