Ratios of Lengths - Intro

This math unit starts with foundational skills in understanding and calculating ratios, initially focusing on how to determine the total quantity from given subgroup ratios and how to use visual cues to calculate specific item counts based on visualized ratios. Progressively, the unit shifts towards more advanced applications of ratios in the context of trigonometry. Students practice solving for unknown lengths in geometric figures using basic trigonometric principles and ratio calculations, with exercises including parallel lines, right-angle line displays, and various triangular configurations. Towards the end of the unit, the focus shifts to practical applications of ratios and unit rates, where students calculate and compare unit prices and determine the best prices in decimal and fraction formats. This transition from basic to more complex applications provides students with a comprehensive understanding of ratio calculations and their practical implications in both geometric and everyday contexts.