Polynomials and Partial Fractions
Additional Mathematics · Secondary 3 · Algebra and Roots of Equations · 1.º Período

Polynomials and Partial Fractions

Students learn to divide polynomials, apply the Remainder and Factor Theorems, and solve cubic equations. They also decompose rational expressions into partial fractions.

MOE Syllabus OutcomesA3.1 Multiplication and division of polynomialsA3.2 Use of Remainder and Factor TheoremsA3.3 Partial fractions with linear or quadratic denominators

About This Topic

Students learn to divide polynomials, apply the Remainder and Factor Theorems, and solve cubic equations. They also decompose rational expressions into partial fractions.

Key Questions

  1. How do the Remainder and Factor Theorems help in solving cubic equations?
  2. What are the steps to perform long division on polynomials?
  3. How do we express algebraic fractions as partial fractions?

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Planning templates for Additional Mathematics

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.

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Edited by Adriana Perusin, Editor-in-Chief, Flip Education
Synthesized by Flip Education from Lyman's Think-Pair-Share collaborative-discussion routine (1981)