Each year Quinn plants 24 flowers in his garden. This year he planted only red and purple flowers. Quinn prefers purple, so he planted twice as many purple flowers as red flowers. [How many purple flowers did Quinn plant?]
Back to Capturing Quantities Tasks
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Tue11Jan2022Tue15Feb2022Remote - Lawrence Public Schools
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Thu13Jan20227 pm - 8:30 pm EST
Are you looking for effective and efficient ways to address students’ unfinished learning? In this 90-minute webinar, we will share our current thinking on how to leverage reasoning routines to assess and advance underdeveloped math concepts from the previous year. We will discuss how students’ capacities to reason quantitatively and think structurally hold the keys to building new mathematical understandings and connections. We will focus on critical concepts in middle school mathematics: ratio and proportional relationships, algebratizing arithmetic, rational number concepts, geometric relationships, and/or functions. Join us to explore this building-on-strengths approach to accelerating unfinished learning.
More information -
Tue18Jan2022Medway High School
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Wed19Jan2022Wed13Apr2022Remote
Register here:
https://tec-coop.org/event/what-is-mathematical-thinking-and-how-do-we-teach-it/
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Sat22Jan2022Houston, TX and Remote
Keynote with follow up sessions: What is Mathematical Thinking and How Do We Foster it in All Students?
For more information:
https://www.escweb.net/tx_esc_04/catalog/multivenue.aspx?isSearch=0&event_id=1645569
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Mon31Jan2022Fitchburg, MA
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Wed02Feb2022Fri04Feb2022
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Thu03Feb2022Thu10Feb2022Remote Riverside, CA
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Wed09Feb2022Fitchburg, MA
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Wed09Feb2022Remote, Brentwood CA
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Mon14Feb2022Medway, MA
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Mon07Mar2022Fitchburg, MA
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Tue08Mar2022Tue22Mar2022Remote, Bandini Elementary School, Commerce CA
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Sat12Mar2022Remote, Delaware
For more information:
https://delawaremathcoalition.org/event/triple-crown-conference-2022/
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Wed16Mar2022Fri18Mar2022Indianapolis, IN
For more information:
https://www.nctm.org/indy2022/
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Wed30Mar2022Fitchburg, MA
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Tue31May2022Riverside County, CA
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Thu02Jun2022Cambridge MA
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Wed15Jun2022Wed27Jul2022On-line
For more information and to register click here
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Wed20Jul2022Indianapolis, IN
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Tue02Aug2022Victorville, CA
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Mon15Aug2022Kings Canyon, CA
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Tue23Aug2022Wed24Aug2022Natick, MA
For more information or to register click here.
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Wed14Sep2022New Milford, MA
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Wed21Sep2022Medway MA
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Wed21Sep2022Curran Elementary School, Murietta CA
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Thu22Sep2022Guilmette Elementary School, Lawrence, MA
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Mon26Sep2022Wed28Sep2022
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Wed28Sep2022Sat01Oct2022
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Mon03Oct2022
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Thu06Oct2022Medway MA
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Fri07Oct2022Fitchburg, MA remote
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Tue11Oct2022Fitchburg, MA
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Wed12Oct2022Medway MA
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Thu13Oct2022Guilmette Elementary School, Lawrence, MA
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Mon17Oct2022Lawrence, MA
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Wed19Oct2022Wakefield, MA
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Wed19Oct2022Remote - Brentwood CA
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Thu20Oct2022Killington, VT
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Tue25Oct2022Curran Elementary School, Murietta CA, Remote
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Wed26Oct2022New Milford, CT
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Fri28Oct2022Mukilteo, WA Remote
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Wed02Nov2022Thu03Nov2022
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Fri04Nov2022Curran Elementary School, Murietta CA
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Fri04Nov2022Sat05Nov2022Palm Springs, CA
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Tue08Nov2022Guilmette Elementary School, Lawrence MA
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Wed09Nov2022Thu10Nov2022Fitchburg, MA
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Wed16Nov2022Medway MA
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Thu01Dec2022Fri02Dec2022Baltimore MD
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Fri02Dec2022Sun04Dec2022Asilomar, CA
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Tue06Dec2022Medway MA
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Wed07Dec2022Fitchburg, MA
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Thu08Dec2022Guilmette Elementary School, Lawrence, MA
Comments are closed.
I introduced this routine the first time during our first full week of school. We’ve been talking about growth mindset, and students had identified math (and specifically work problems) as an area where there was a need. The first go round was hardest for the students who just wanted to solve the problem. By the second time, students were more fluid and fluent within the routine. By our last presentation of this routine, students were able to talk about the story and (excitedly) explore each other’s thinking. The meta reflections were very informative! I was pleased and surprised by a couple of students’ reflections that indicated a better acceptance of and understanding of the routine as well as their mathematical thinking.
I also thought that the meta reflections were informative. Sometimes I forget to do this step, but it truly is valuable.
I used this task as a introduction to the Capturing Quantities Routine with my 7th grade special education students. I was pleasantly surprised with how quickly they jumped into the routine and that they all created fraction models (bar and pie) to represent the important information accurately. We had already done the Three Reads Routine multiple times, so I think that helped and I noticed them applying their strategies and vocabulary of quantities and relationships. It was a positive first experience for all of us and they were excited for a more challenging problem to follow!
I introduced this routine to a small group of students during a WIN (What I Need) block. I focused on this group of students because they are the typical general education student who needs to focus on the important information in the question. These students have decided their goal with me and capturing quantities (and the 3 reads they have already explored) should help them with their goal.
The first go around with this routine the students were hesitant, but pushed through the routine. They were able to identify the important quantities and relationships between the colors of flowers and how many flowers were planted each year. This routine allows students to slow down and really understand the relationships in the given problem.
I used this as my second task with a fifth grade class learning the Capturing Quantities routine. I had left off the question with the first task I had done – with great success – so I left it off again. The best part of this one was the diagrams students drew – they were much clearer (partly due to the content, partly due to the fact that it was the second time) in terms of how they showed the relationships between the flower colors. Many used an area type model because it was a garden and few students used a bar model which they had a lot of previous experience with in fourth grade. On this problem, we were really able to focus in on stating quantities as quantities, and not just giving the number, so “the number of red flowers”, etc. The problem lent itself well for this! I knew students were getting comfortable with the routine so for the 3rd task, I chose a pretty challenging one for them: Nuna’s Age