ABSTRACT

This supplement to Teaching Fractions and Ratios for Understanding is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems with solutions that instructors may find helpful for assessment purposes and a set of problems that require both good reasoning and computational skills.

part |2 pages

Part I Discussion of Activities

chapter 1|4 pages

Proportional Reasoning: An Overview

chapter 2|3 pages

Relative and Absolute Thinking

chapter 3|2 pages

Fractions and Rational Numbers

chapter 4|4 pages

Units and Unitizing

chapter 5|3 pages

Part-Whole Comparisons

chapter 6|4 pages

Partitioning and Quotients

chapter 7|4 pages

Rational Numbers as Operators

chapter 8|6 pages

Rational Numbers as Measures

chapter 10|7 pages

Reasoning With Fractions

chapter 11|5 pages

Ratios

chapter 12|6 pages

Analyzing Change

chapter 13|6 pages

Rates

chapter 14|4 pages

Reasoning Proportionally

chapter 15|6 pages

Applications

part |2 pages

Part II Supplementary Activities

chapter 2|2 pages

Relative and Absolute Thinking

chapter 3|2 pages

Fractions and Rational Numbers

chapter 4|2 pages

Units and Unitizing

chapter 5|1 pages

Part-Whole Comparisons

chapter 6|2 pages

Partitioning and Quotients

chapter 7|4 pages

Rational Numbers as Operators

chapter 8|4 pages

Rational Numbers as Measures

chapter 10|4 pages

Reasoning With Fractions

chapter 11|4 pages

Ratios

chapter 12|3 pages

Analyzing Change

chapter 13|3 pages

Rates

chapter 14|3 pages

Reasoning Proportionally

chapter 15|4 pages

Applications: Similarity and Percents

part |2 pages

Part III Discussion of Supplementary Activities

chapter 2|2 pages

Relative and Absolute Thinking

chapter 3|2 pages

Fractions and Rational Numbers

chapter 4|4 pages

Units and Unitizing

chapter 5|2 pages

Part-Whole Comparisons

chapter 6|4 pages

Partitioning and Quotients

chapter 7|4 pages

Rational Numbers as Operators

chapter 8|4 pages

Rational Numbers as Measures

chapter 10|4 pages

Reasoning With Fractions

chapter 11|5 pages

Ratios

chapter 12|3 pages

Change

chapter 13|5 pages

Rates

chapter 14|5 pages

Reasoning Proportionally

chapter 15|3 pages

Applications: Similarity and Percents