Algebraic Fractions (I)

Grade 11 · Mathematics

Semester 1 | Period 2 | Week 7

Download the Lessonotes Mobile Liberia app for faster lesson access on Android and iPhone.

Get it on Google Play Get it on the Apple App Store

Subject: Mathematics

Semester: 1

Period: 2

Week: 7

WEEK 7
Class: Grade 11
Age: 16 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Algebraic Fractions (I)
Focus: Simplification of fractions, Addition, subtraction, multiplication, and division of algebraic fractions.

SPECIFIC OBJECTIVES:
By the end of the lesson, students should be able to:

  1. Simplify a given algebraic fraction using the LCM of the denominators.
  2. Perform addition, subtraction, multiplication, and division on algebraic fractions.

INSTRUCTIONAL TECHNIQUES:
• Question and answer
• Guided demonstration
• Discussion
• Practice exercises
• Analogy and real-life connections

INSTRUCTIONAL MATERIALS:
• Whiteboard and markers
• Chart showing LCM, addition, subtraction, multiplication, and division of algebraic fractions
• Flashcards with algebraic fractions for practice
• Worksheets for simplification and operations with algebraic fractions

 

PERIOD 1 & 2: Introduction to Algebraic Fractions and Simplification

PRESENTATION:

Step

Teacher’s Activity

Student’s Activity

Step 1 - Introduction

Introduces the concept of algebraic fractions. Explains that an algebraic fraction is a fraction where the numerator and/or the denominator is an algebraic expression.

Students listen attentively and ask clarifying questions.

Step 2 - Simplification of Algebraic Fractions

Explains the method of simplifying algebraic fractions by finding the LCM of the denominators. Uses an example to show the process.

Students observe the example and take notes on the method of simplification.

Step 3 - Guided Practice

Provides several algebraic fractions for students to simplify under teacher guidance.

Students practice simplifying the algebraic fractions in pairs or groups, seeking help when needed.

Step 4 - Check for Understanding

Engages students in a short quiz to check if they can simplify fractions on their own.

Students attempt the quiz independently and ask for help if needed.

NOTE ON BOARD:
Simplification:

  • Factor both the numerator and denominator.
  • Find the LCM of the denominators.
  • Cancel out common factors.