Introduction to Sequences
Algebra II · 11th Grade · Sequences and Series · 3o Periodo

Introduction to Sequences

Explore the fundamental concepts of sequences, learning to identify patterns and express them using both explicit and recursive formulas.

Common Core State StandardsCCSS.Math.Content.F-BF.A.2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

About This Topic

Explore the fundamental concepts of sequences, learning to identify patterns and express them using both explicit and recursive formulas.

Key Questions

  1. Explain the difference between an explicit formula and a recursive formula for a sequence.
  2. Compare the characteristics of a finite sequence versus an infinite sequence.
  3. Identify the pattern in a given sequence and write the next three terms.

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Planning templates for Algebra II

Lesson Plan

5E Model

The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.

Unit Planner

Math Unit

Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.

Rubric

Math Rubric

Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.

More in Sequences and Series

Arithmetic Sequences

Investigate sequences where the difference between consecutive terms is constant. Learn to write formulas for the nth term and solve problems involving arithmetic progressions.

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Geometric Sequences

Discover sequences where each term is found by multiplying the previous term by a constant ratio. Master writing formulas and applying them to real-world growth and decay models.

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Finite Geometric Series

Develop and apply the formula for the sum of a finite geometric series. Solve problems involving investments, loans, and other real-world applications.

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