Formalizing ratios, terminology, and simplification: presentation

Section role: supports the formalization of discoveries from the fruit punch challenge while the teacher introduces academic vocabulary and notation. Slides: (1) Title — 'Understanding Ratios and Their Parts'; (2) What is a Ratio? — bullets: definition as a comparison of two quantities through division, reference back to the 3 cups of orange juice and 2 cups of pineapple juice from the fruit punch challenge; (3) Anatomy of a Ratio — bullets: definition and labeling of the 'Antecedente' (3) and the 'Consecuente' (2); (4) Three Ways to Write It — bullets: colon notation '3 : 2', fraction notation '3 / 2', and verbal notation '3 es a 2'; (5) Simplifying Ratios — bullets: step-by-step example showing that 6:4 is equivalent to 3:2, emphasizing division by a common factor; (6) Common Pitfalls — bullets: warning against adding instead of multiplying when scaling quantities; Closing slide: 'Can you name the antecedente and consecuente for a ratio of 5 to 7?' — hands control back to the teacher to verify understanding before the individual practice worksheet.

Lara de Teachy