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Kids would take this out to the playground and argue about it

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Kids would take this out to the playground and argue about it

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See left.

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This task can create a lot of discussions and dialogue between students. 

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This task can create a lot of discussions and dialogue between students. 

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I liked the first two acts better than act three. It's easy to say that the process is what's important, but we grade based on accuracy and precision is one of the mathematical practices. This seems incongruent.

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I liked the first two acts better than act three. It's easy to say that the process is what's important, but we grade based on accuracy and precision is one of the mathematical practices. This seems incongruent.

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Tasks like these are great for getting full engagement.

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It's important for students to compare the mathematical answer with the actual answer. Just like we talked about, this leads to a good conversation about reasonable answers.

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It seems that there are too many factors...human error in measurement...

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It seems that there are too many factors...human error in measurement...

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Based on this task, there are many extensions that could be created...especially given the solution presented. 

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Based on this task, there are many extensions that could be created...especially given the solution presented. 

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I can see a need to have ready to pace this activity due to the different ways of processing information - such as having it out purely in numbers, in visual models, of breaking down the numbers (because working with 1280 can be overwhelming for some students).

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students coming up with the method they will use to solve this gives many access points so students can solve it in a way that will work best for them, keeping more students engaged overall.  This will also give room for some good discussions around multiple pathways to a single answer while students are presenting their methods.

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I think there are some significant opportunities to create some public records on measurement.

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I think there are some significant opportunities to create some public records on measurement.

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I appreciate the opportunity to allow for various representations in our whole group conversation.

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I really like the multiple pathways to getting the right answers. It's easy to integrate the mathematical practices with this discussion.

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I really like the multiple pathways to getting the right answers. It's easy to integrate the mathematical practices with this discussion.

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Feels like a mystery; you're engaged to find the next step in the process

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Feels like a mystery; you're engaged to find the next step in the process

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The information given may differ greatly than student estimates.  This levels the playing field and limits the status of those most 

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The information given may differ greatly than student estimates.  This levels the playing field and limits the status of those most 

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A useful problem for relating various approaches.

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Open ended situation leads to conversation that isn't right/wrong leading to extended discussions

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I like the engagement factor.  Kids have something to work with.

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I like the engagement factor.  Kids have something to work with.

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Giving students a chance to not only make a conjecture but also think about numbers that are definitely too high and definitely too low is engaging and allows for good conversations among students. I would switch the order in which they are done though.

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( I thought she was doing a PH test. Who wants to drink that? ) 8th grade students would certainly engage the task..it would seem relatively easy to continue beyond Act I.

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Flavored water will be a real life example for them.

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Flavored water will be a real life example for them.

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I thought it was a pretty good real world problem. We need to have more information to solve the problem - if indeed the problem is actually the ratio of drops to water.

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I thought it was a pretty good real world problem. We need to have more information to solve the problem - if indeed the problem is actually the ratio of drops to water.

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An opened ended, real life situation which compels students to reason, make a prediction, and assess the reasonableness of their guess on a timeline bookended by unrealistic guesses

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test out each group's estimation with a container of water and drops and rate the flavor (on a scale) of the estimations.

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The estimate of too low and too high provides access for everyone. 

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The estimate of too low and too high provides access for everyone. 