Wednesday, October 6, 2010

Three Part Problem Solving

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Trillium Petal Problem

In Patterning, we've been learning how to look for numerical patterns. Both our 2s and 3s have been using T-charts to organize data and solve number problems. Today, we worked on a three-part math problem. Alright, what on earth is a three-part math problem?

To begin, the problem is presented to the class as a whole. Students talk about what they know, what they need to know and special conditions that they may need to consider when solving the problem. Basically it's a debriefing session.

Secondly, the students get to work on the problem with a partner. It is very important that students talk out their thinking and share ideas. So much learning happens, it's exciting.

Lastly, when it looks like everyone is finished working on the problem, we have a "congress" on the carpet. Normally a small selection of answers are shared with the class. Today, we had a little extra time before the end of the day, so everyone presented their answer. During the congress, students get to learn about different strategies that were used and they have a chance to reflect upon their own solution with teacher and student guided questions. Again, so much learning happens here. You can almost hear the light bulbs popping.

Here's the question: How many petals would 10 trilliums have? We looked at a picture of a trillium and Ryan did a great job of telling the class that it is Ontario's provincial flower and that's it's illegal to pick trilliums growing in the wild. He did point out that you can grow them and pick them in your own garden. Thanks.
Planning and thinking...

Hey look, it's a T-chart!


Whoa Nelly - it's a massively extended number pattern. Nice work!
Whoa again. Here's some double-digit multiplication being used. Awesome!
Our problem solving session was briefly interrupted by a surprise visit by Mr. Frenette who will be back very soon. He is well-loved and the kids enjoyed giving him one big group hug. I love these kids!
Solutions
Below are pictures of some of the students presenting their work during the congress. Great work, everyone!



This partnership solved the problem using pictures of trillums, which I believe are on the flip side of the chart paper. The solution was explained well.



There are oodles of patterns in this Lego music video. It's dedicated to the patterning wizards of Room 108.
- Ms. Hawkins