Lesson Plan: Adding and Subtracting Rational Expressions

In this high school algebra lesson, students will learn how to add and subtract rational expressions by finding common denominators and simplifying algebraic fractions. Mastering these operations is essential for working with complex rational equations and solving real-world problems involving algebraic fractions. This lesson builds on prior knowledge of simplifying rational expressions and applying fraction rules.

Key concepts covered in this lesson include:

• Understanding the rules of adding and subtracting fractions and how they apply to rational expressions.
• Finding the least common denominator (LCD) to rewrite rational expressions with like denominators.
• Adding and subtracting numerators while maintaining the common denominator.
• Simplifying the resulting rational expression by factoring and canceling common terms.
• Identifying restrictions on the variable to avoid undefined values.

Through guided instruction and problem-solving exercises, students will develop confidence in working with rational expressions and applying algebraic fraction operations. These skills are fundamental for solving rational equations and preparing for more advanced topics in algebra and calculus.

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