Overview: Pattern Generalization
Generalizing patterns makes up a large part of the Minnesota academic standards for algebra as they develop from Kindergarten to grade 8. Concepts of equality, variable, and function are topics that middle school students struggle with greatly in algebra and are all connected when students generalize patterns.
- IN THIS SESSION TEACHERS:
- Solve problems that may be used as a way to get students to make connections between arithmetic and algebra..
- Learn ways to ask questions that facilitate the development of algebraic habits of mind.
- Learn how to emphasize equivalent expressions and introduce algebraic proofs.
- Learn ways that children develop patterns over time focusing on recursive and explicit features.
Standards Specifically Addressed
- MINNESOTA ACADEMIC STANDARDS
- Grade 3: Use single-operation input-output rules to represent patterns and relationships and to solve real-world and
- Grade 4: Use input-output rules, tables and charts to represent patterns and relationships and to solve real-world and
- Grade 6: Recognize and represent relationships between varying quantities; translate from one representation to another; use patterns, tables, graphs and rules to solve real-world and mathematical problems.
- Grade 8: Understand the concept of function in real-world and mathematical situations, and distinguish between linear and non-linear functions.
- Grade 8: Generate equivalent numerical and algebraic expressions and use algebraic properties to evaluate expressions.
- Reasoning and Proof