Ratio Equivalence: Patterns and Rules

Section role: supports the formalization of equivalent ratios while the teacher guides the whole-class debrief of the Master Blender Challenge. Slide outline: (1) Title — 'Naming the Patterns: Equivalent Ratios'; (2) Sharing the Recipes — bullets: student findings of 2:3, 6:9, and 12:18; (3) Bar Model Visualization — visual representation showing how 2 blocks of concentrate to 3 blocks of water scale up while keeping flavor consistent; (4) The Multiplicative Rule — explaining that addition fails for proportions while multiplication and division succeed; (5) Vocabulary Spotlight — definitions for 'Antecedente', 'Consecuente', and 'Razón Irreductible'; (6) Worked Example — step-by-step simplification of 6:9 to 2:3 by dividing by 3; (7) Amplification Practice — taking 4:5 and multiplying by 3 to reach 12:15; (8) Connection to Fractions — showing how ratios share the same properties as fractions; Closing slide: 'How can we prove without drawing that two ratios are equivalent?' — hands control back to the teacher to lead the transition into the individual mastery check.

Lara de Teachy