1. Routines for Reasoning
Capturing Quantities –
Whole Number Open Number Line

2. GOALS
Today we are learning how to find quantities and relationships in word problems and diagrams. We are going to talk to others to clarify our own thinking about the math problem.

3. Thinking Goals Think about a problem like a mathematician.
Thinking Questions:
What can be measured, what can be counted?
What relationships can I find?
How can I represent my thinking?

4. Family Road Trip
Nancy’s family decided to visit her grandmother. The family drove 234 miles in the morning. They stopped for lunch and then drove the rest of the way. By the end of trip they had traveled miles. How many miles did the family drive between stopping for lunch and reaching Nancy’s grandmother’s house?
Read the task as a group; have students think about these three thinking questions by themselves (approximately 1-2 minutes)
Thinking Questions:
What can be counted?
What can be measured?
What relationships do you see?

5. Family Road Trip
Nancy’s family decided to visit her grandmother. The family drove 234 miles in the morning. They stopped for lunch and then drove the rest of the way. By the end of trip they had traveled miles. How many miles did the family drive between stopping for lunch and reaching Nancy’s grandmother’s house?
Students turn to each other and, using the sentence starters, discuss
Sentence Starters:
“The number of ….”
“The amount of …”
“ We saw that ____ relates to _____”

6. Family Road Trip
Nancy’s family decided to visit her grandmother. The family drove 234 miles in the morning. They stopped for lunch and then drove the rest of the way. By the end of trip they had traveled 681 miles. How many miles did the family drive between stopping for lunch and reaching Nancy’s grandmother’s house?
“We showed _______ by ___________.”
We used the _____ relationship to _____.”

7. Reflection
“This math problem helped me to see _______________.”