Teaching Fractions and Ratios for Understanding: Essential Content Knowledge and Instructional Strategies for Teachers

Proportional Reasoning - an Overview Relative and Absolute Thinking Fractions and Rational Numbers Units and Unitizing Part-Whole Comparisons Partitioning and Quotients Rational Numbers as Operators Rational Numbers as Measures Relationships - Visual and Verbal Roots Reasoning With Fractions Ratios Analyzing Change Rates Proportional Reasoning Applications - Similarity and Percents.