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Proportion
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1.

## Measurement Fundamentals [electronic resource]

Investigates the difference between a count and a measure, and examines essential ideas such as unit iteration, partitioning, and the compensatory principle. Presents the many uses of ratio in measurement and how scale models help us understand relative sizes. Discusses the constant of proportionality in isosceles right triangles as well as precision and accuracy in measurement.
Online
2002
2.

## Measurement Relationships [electronic resource]

Examines the relationships between area and perimeter when one measure is fixed. Determines which shapes maximize area while minimizing perimeter and vice versa. Explores the proportional relationship between surface area and volume. Constructs open-box containers and uses graphs to approximate the dimensions of the resulting rectangular prism that holds the maximum volume.
Online
2002
3.

## Proportional Reasoning [electronic resource]

Looks at the proportional relationship. Develops proportional reasoning skills by comparing quantities, looking at the relative ways numbers change, and thinking about proportional relationships in linear functions. Covers differentiating between relative and absolute meanings of "more" and determining which of these is a proportional relationship. Compares ratios without using common denominator algorithms. Differentiates between additive and multiplicative processes and their effects on scale and proportionality. Interprets graphs that represent proportional relationships or direct variation. Concludes with a segment on proportional scaling in designing a micro-engine, when to scale proportionally and when not to.
Online
2001
4.

## More Nonlinear Equations [electronic resource]

Continues the exploration of nonlinear functions, focusing on cyclic and inverse functions. Covers becoming familiar with inverse proportions and cyclic functions and developing an understanding of cyclic functions as repeating outputs. Works with graphs of inverse proportions and cyclic functions. Explores contexts where inverse proportions and cyclic functions arise and situations in which more than one function may fit a particular set of data. Concludes with a segment on predicting tides.
Online
2001