Overview
In this 30-minute lesson, students in Year/Grade 9 will learn to add fractions with like and unlike denominators. They will understand the concept of finding the least common multiple (LCM) and practice solving addition problems using this method.
Learning Objectives
- Understand the concept of adding fractions with like denominators
- Identify and find the LCM of two or more numbers
- Add fractions with unlike denominators and simplify the answer
- Apply these concepts to solve real-world problems involving fractions
Materials Needed
- Whiteboard and markers
- Paper and pencil for each student
- Fraction manipulatives (optional)
Introduction (5 minutes)
- Begin by reminding students of prior knowledge about fractions and their basic operations (e.g. multiplication, division)
- Explain that in this lesson, they will learn how to add fractions with like and unlike denominators using a strategy called finding the least common multiple (LCM)
Adding Fractions with Like Denominators (5 minutes)
- Demonstrate adding fractions with similar denominators using the board and markers
- Give the students a few problems to solve independently
- If time permits, allow them to check their answers with a partner
Finding the LCM (7 minutes)
- Define what LCM is and why it is necessary for adding fractions with unlike denominators
- Provide examples of how to find the LCM of two or more numbers
- Assign a few practice problems for the students to solve with a partner
Adding Fractions with Unlike Denominators (8 minutes)
- Demonstrate adding fractions with different denominators using the LCM method
- Have the students solve a few problems on their own with paper and pencil using this method
- If time permits, allow students to check their answers with a partner
Real-World Applications (5 minutes)
- Provide a real-world problem that involves adding fractions and requires the use of LCM
- Ask the students to solve the problem independently
- If time permits, select a few students to share their solution with the class
Conclusion (5 minutes)
- Summarize the key concepts learned in the lesson
- Allow time for questions or clarification of any concepts
- Provide an extra practice sheet as homework or a review activity.
Assessment
- Observe students during independent work and partner work
- Collect and grade the practice sheet or any additional homework
- Use sample questions or real-world problems to check understanding before moving on to the next lesson.