Facebook Twitter

Fractions Reasoning Strategies

This section describes the specific reasoning strategies and understandings that relate to fractions. Reasoning strategies are organized into two categories—those appropriate and those not appropriate to the numbers at hand in the problem.

Click the symbol next to any strategy or understanding to learn more and view video examples.

Comparing Mentally

Strategies appropriate for the numbers at hand Strategies not appropriate for the numbers at hand

Uses relationships between numerators and denominators to compare

Converts to common denominators to compare

Computing Mentally

Strategies appropriate for the numbers at hand Strategies not appropriate for the numbers at hand

Reasons with decimals or percents

Extends understanding of operations with whole numbers to operations with fractions

Uses benchmark of 1/2 or 1 to estimate

Uses standard algorithm to compute

Figures exact answer to estimate

Applying Understanding

Strategies appropriate for the numbers at hand

Models with mathematics to solve problems in context

Understands equivalence in context