Developing Quantitative Reasoning with "Capturing Quantities" Instructional Routine

Enhance quantitative reasoning skills with the "Capturing Quantities" instructional routine, which focuses on identifying quantities and relationships, creating diagrams, solving word problems, and reflecting on learning through engaging activities and discussions.

• Quantitative Reasoning
• Instructional Routine
• Problem-Solving
• Mathematics Education

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1. Capturing Quantities An Instructional Routine to develop the quantitative reasoning avenue of thinking Routines for Reasoning Kelemanik, Lucenta & Creighton

2. Capturing Quantities Identify quantities and relationships Think Like a Mathematician! Create diagrams Find Quantities and Relationships in Word Problems and Diagrams Discuss diagrams Reflect on learning

3. 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 of the tickets. Minh and Jake sold the remaining tickets in the ratio 1:3. Zoe sold 36 more tickets than Minh

4. PAIR Identify Important Quantities and Relationships Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold of the tickets. Minh and Jake sold the remaining tickets in the ratio 1:3. Zoe sold 36 more tickets than Minh I can count the number of I can measure the amount of...

5. SHARE Identify Important Quantities and Relationships Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold of the tickets. Minh and Jake sold the remaining tickets in the ratio 1:3. Zoe sold 36 more tickets than Minh An important quantity is... A relationship we know is

6. 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 of the tickets. Minh and Jake sold the remaining tickets in the ratio 1:3. Zoe sold 36 more tickets than Minh

7. Create Diagrams 1. Share your diagram. How did you represent Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold of the tickets. Minh and Jake sold the remaining tickets in the ratio 1:3. Zoe sold 36 more tickets than Minh I showed by... 2. Together create a diagram that you think best represents the important problem information.

8. Discuss Diagrams What quantities or relationships do you see in this diagram? Zoe, Minh, and Jake sold some tickets for a school fundraiser. Each ticket cost $2. Zoe sold of the tickets. Minh and Jake sold the remaining tickets in the ratio 1:3. Zoe sold 36 more tickets than Minh Where do you see a quantity or relationship in this diagram?

9. 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