Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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ConnectionsSession 06 Overviewtab atab btab cTab dtab eReference
Part D

Applying Connections
  Introduction | Using Hexominos to Manufacture Boxes | Problem Reflection | The Hexominos Problem in Action | Classroom Checklist | Your Journal


Following are some examples of questions you might ask this teacher about how he is teaching the lesson. For each question, think about an answer you might provide, then select "Show Answer" to see possible answers the teacher might give.

Question: How would you introduce this problem to show its connection to the real world?

Show Answer
Our Answer:
You might present a scenario where students are working for a company, and ask them what they need to consider when selecting which net to use. Their responses could include wanting to spend a minimal amount of money on the cardboard for making the boxes and also wanting a minimal amount of waste.

Question: On what previous mathematical experiences does this problem build?

Show Answer
Our Answer:
Students should have worked with and discussed hexominos. They also should have previous experience with area and transformations. If students have worked with geometric shapes, such as tangrams, this is a good activity for extending the spatial visualization concept of seeing how pieces fit together to make a whole.

Question: What mathematical concepts are embedded in this problem?

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Our Answer:
Area, spatial visualization, relationships among geometric shapes, and tessellations.

Question: How does this problem relate to the other Process Standards?

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Our Answer:

Representation: Students will need to represent their ideas by making models of the various hexomino nets and exploring how they fit together with the least amount of waste.

Communication: Students need to discuss the relationships between the nets, ask questions, and answer one another's questions about the nets as they try to find the net that will cover the roll of paper with the least amount of waste.

Reasoning and Proof: Students need to reason about the shape of each net and how it will tessellate to cover the plane surface.

Problem Solving: Students need to use various strategies to approach this problem. Making a model, solving a simpler problem, and identifying provided and required information, are all samples of the strategies that students might use.


next  Explore the solution to this problem

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