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This comprehensive report from the Secondary Mathematics Project delves into the intricate world of children's understanding of ratios, meticulously detailing the diverse strategies they employ and the prevalent errors they make. It offers critical insights for educators and researchers seeking to improve secondary mathematics education and refine teaching methodologies related to proportionality.

Explore the fundamental concepts of ratio and proportion in this chapter, learning how to express relationships between quantities and scale. Delve into the fascinating world of similar figures, understanding their properties, how to identify them, and apply proportional reasoning to solve various real-world geometry problems, from architectural design to mapping.