Problem Solving – Problem of the Week

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Problem Solving Worksheet for 5th or 6th Grade Math

Problem Solving for Fast Finishers

Problem of the Week - interpreting quotients

I used this week’s problem of the week in my 6th grade math class today, for the fast finishers.

Because we aren’t too “into” a particular topic at the moment, this problem solving activity uses a mix of operations, so students get some practice with basic operations along with the word problem practice.
I intended for students to use mostly division and multiplication, but I saw students using addition as well.

This problem solving activity gives students a ‘bake sale scenario’ and then asks four questions related to that scenario.


Math Conversations About Solving Word Problems

​I really enjoy talking with my students about what they are thinking when they try to solve problems, for a few reasons:

  • They think about problems in a different way than I do
  • It makes me rethink the wording of the questions I ask (which makes me improve)
  • I learn there will be several ideas to share with class.

I noticed a few different things when the students were solving the different parts of this week’s problem:

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For part A, I multiplied 85 times 3 to get the total number of cookies and then divided by 24 (when I wrote the problem, I wanted the students to have to interpret the quotient, so I approached it with a desire to use division).

  • Most students did the same thing (except for the few that multiplied 24 x 3 – that gave me some good info: -)


BUT one student was just sitting and thinking, so I asked him what he was thinking. He started to say he divided 24 by 3 and then paused – I almost interrupted his thinking to redirect him to my way, but I successfully restrained myself, and asked why.

  • He said he was thinking about how many baggies could be filled with one batch, and since the numbers worked nicely, he could definitely say that one batch would fill 8 baggies.


I really liked his thinking process, because it hadn’t occurred to me to do it that way. Now, if the numbers hadn’t worked out evenly, it might not have been the best approach, but we could expand our class discussion to explore that.
​After deciding he could fill 8 baggies per batch, he added on sets of 8 until he reached the correct number of batches.

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As some students worked on part C (below), I started to think I should adjust the wording of the problem.
When I wrote the problem, I thought it would be clear that the number of cookies for part C was the same as part A, but some students thought of the part C as using 85 baggies of 2 cookies (same number of baggies), instead of using the same number of cookies.
​As more students worked on it though, other students seemed to understand that the number of cookies should be the same as the original number they were working with, so I haven’t changed it yet. If you use the problem, please let me know what you think.

​Again, a few students approached this part in a different way than I did – they said that in both cases, the cookies cost 25 cents each. Using this reasoning, some students said the cost was the same, while others did not – again, a great opportunity for discussion, both in small groups and as a whole class.

To see and/or use the entire problem and answer key, select the button below.


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To access all of the Problem of the Week problems I’ve created over the past several years, check out the Free Math Resource Center!

Do you have some favorite problem solving activities?

Resources to Teach and Practice Problem Solving:

Ellie

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Welcome to Cognitive Cardio Math! I’m Ellie, a wife, mom, grandma, and dog ‘mom,’ and I’ve spent just about my whole life in school! With nearly 30 years in education, I’ve taught:

  • All subject areas in 4th and 5th grades
  • Math, ELA, and science in 6th grade (middle school)

I’ve been creating resources for teachers since 2012 and have worked in the elearning industry for about five years as well!

If you’re looking for ideas and resources to help you teach math (and a little ELA), I can help you out!

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