# Ratio Sort(view)

Units included with this Open Author resource:

Child Care and Preschool Staff - Ratio Sort
Learning goals:
Students will use visuals to demonstrate an understanding of ratios., Students will work toward moving from additive thinking to multiplicative reasoning., Students will connect visual proofs to numerical representations of ratios.
Keywords:
adult education, ratios, proportional reasoning, card sort, multiplicative thinking, conceptual understanding
Alignment:
CCSS.Math.Content.6.RP.A.1, CCSS.Math.Content.6.RP.A.2

#### Summary

Students often think additively rather than multiplicatively. For example, if you present the scenario, "One puppy grew from 5 pounds to 10 pound. Another puppy grew from 100 pounds to 108 pounds." and ask, "Which puppy grew more?" someone who is thinking additively will say that the one who now weighs 108 grew more because he gained 8 pounds while the other gained 5 pounds. Someone who is thinking multiplicatively will say that the one that now weighs 10 pounds grew more because he doubled his weight while the other only added a few pounds. While both are correct answers, multiplicative thinking is needed for proportional reasoning. If your students are thinking additively, you can nudge them toward multiplicative thinking with this activity.