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Math 1/2

Lesson 1

Something to Talk About

Identify quadratic patterns from figures and tables.

Learning Focus

Model a growing pattern and recognize quadratic growth from tables, graphs, and recursive ideas.

Big idea

Quadratic sequences often show:

  • first differences that change
  • second differences that are constant

Signal-bar / stacked-square patterns are classic quadratic figure sequences.

Takeaways

  • Linear: constant first differences
  • Quadratic: constant second differences
  • Explicit forms often look like an2+bn+can^2+bn+c