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4-A-1-3

Page history last edited by Tashe Harris 6 years, 2 months ago

4.A.1.3 Create growth patterns involving geometric shapes and define the single operation rule of the pattern.

In a Nutshell

Create a growing pattern using geometric shapes and define the rule for the pattern using a mathematical expression involving a single operation.

Student Actions	Teacher Actions
Develop strategies for problem solving by using concrete manipulatives to model growing geometric patterns. Develop a deep and flexible conceptual understanding by using input/output tables to describe growing geometric patterns. Develop the ability to make conjectures, model, and generalize by creating, identifying, and extending growing geometric patterns in the context of real-world problems. Develop mathematical reasoning by describing the growing geometric patterns which they create and analyzing patterns created by their peers, critiquing their own thinking and the thinking of others.	Support productive struggle in learning mathematics by providing students hands-on experiences with growing geometric patterns. Implement tasks that promote reasoning and problem solving by using pattern blocks, tiles, and other manipulatives to create growing patterns that can be represented in an input-output table. Use and connect mathematical representations by demonstrating how concrete manipulatives can be used to model a pattern depicted in an input/output table, and how patterns made with concrete manipulatives can be described using input/output tables.
Key Understandings	Misconceptions
Growing geometric patterns can be described using input/output tables. The rule on which a growing geometric pattern is based may be appropriately expressed in the form of a mathematical expression.	Geometric patterns are only about alternating the elements (ABAB, ABCB, etc.); only number patterns can be growing patterns. Input/output tables are only used to describe number patterns.