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

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.

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.

Pumpkin Picking is a pattern problem that can be solved using a picture or an input/output table. [contributed by Shannon Collier, Joseph C. Caruso School, Keansburg, NJ]

Trick or Treat requires students to create a table of values and identify the pattern or rule to solve the problem.

Grade 2 Halloween Word Problems were written by Tammie Holcombe and Karen Zeigler, second grade teachers at Port Monmouth Road School in Keansburg, NJ.

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.

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