- Candy Corn presents a triangular numbers problem using a candy corn pattern. Younger students might use candy corn to model the problem. A sample solution shows how older students might use an input-output table to model the pattern and find the solution without the use of manipulatives.
- Younger students will enjoy analyzing and completing Fall Patterns. They should then classify the pattern and explain their reasoning as part of the class discussion. It is possible that students will see different patterns in some of the items so their explanation and justification are very important mathematical discourse.
- Annual Fall Parade challenges students to use the triangular pattern to figure out how many students are in the fourth grade. Given the number of full rows, students must apply the pattern and use effective recording (picture, table, etc.) to explain their reasoning.
- See more Problem Solving Resources from the Mathwire collections. All problems are classroom-ready in PDF format. Many contain a sample solution for teacher use.

## Wednesday, October 28, 2009

### Fall Problem Solving

The following open-ended assessments require students to apply mathematical concepts and skills to solve problems and explain their thinking using words, pictures and numbers.

Labels:
fall,
justification,
patterns,
problem solving,
reasoning,
solution,
triangular numbers

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