Capturing Quantities An Instructional Routine to develop the
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Capturing Quantities An Instructional Routine to develop the quantitative reasoning avenue of thinking Routines for Reasoning Kelemanik, Lucenta & Creighton
Capturing Quantities Think Like a Mathematician! Find Quantities and Relationships in Word Problems and Diagrams • Identify quantities and relationships • Create diagrams • Discuss diagrams • Reflect on learning
THINK Identify Important Quantities and Relationships Ask Yourself… What can I count or measure in this situation? Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold ½ of the tickets. Minh and Jake sold the remaining tickets in the ratio 1: 3. Zoe sold 36 more tickets than Minh
PAIR Identify Important Quantities and Relationships I can count the number of… I can measure the amount of. . . Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold ½ of the tickets. Minh and Jake sold the remaining tickets in the ratio 1: 3. Zoe sold 36 more tickets than Minh
SHARE Identify Important Quantities and Relationships An important quantity is. . . A relationship we know is… Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold ½ of the tickets. Minh and Jake sold the remaining tickets in the ratio 1: 3. Zoe sold 36 more tickets than Minh
Create Diagrams Draw a diagram that represents the important problem information. Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold ½ of the tickets. Minh and Jake sold the remaining tickets in the ratio 1: 3. Zoe sold 36 more tickets than Minh
Create Diagrams 1. Share your diagram. How did you represent… I showed … by. . . 2. Together create a diagram that you think best represents the important problem information. Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold ½ of the tickets. Minh and Jake sold the remaining tickets in the ratio 1: 3. Zoe sold 36 more tickets than Minh
Discuss Diagrams What quantities or relationships do you see in this diagram? Where do you see a quantity or relationship in this diagram? Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold ½ of the tickets. Minh and Jake sold the remaining tickets in the ratio 1: 3. Zoe sold 36 more tickets than Minh
Meta-Reflection A. When looking for quantities in a word problem, I learned to… B. When analyzing a diagram, I learned to pay attention to… because… A. When identifying relationships, I learned to ask myself…