Lesson Plan: Equivalent Fractions
Subject: Mathematics
Grade: 4
Duration: 30 minutes
Topic: Equivalent Fractions
Objectives
By the end of this lesson, students will be able to:
- Understand the concept of equivalent fractions.
- Identify and create equivalent fractions.
- Compare and simplify fractions.
Materials Needed
- Fraction circles or bars
- Whiteboard and markers
- Worksheets with fraction representations
- Homework handouts
Introduction (5 minutes)
- Begin by engaging the students with a question: "What do you think makes two fractions equivalent?"
- Briefly explain the concept of equivalent fractions: fractions that represent the same value or proportion.
- Show examples using fraction circles or bars to visually illustrate equivalent fractions (e.g., 1/2 and 2/4).
Direct Instruction (10 minutes)
-
Understanding Equivalent Fractions:
- Explain that fractions can look different but represent the same part of a whole.
- Use the example of a pizza: if a pizza is cut into two equal parts (1/2) and then those two parts are cut into four equal parts (2/4), they still represent the same amount of pizza.
-
Creating Equivalent Fractions:
- Show how to find equivalent fractions by multiplying or dividing the numerator and denominator by the same non-zero number.
- Example:
- Start with 1/2.
- Multiply both the numerator and denominator by 2 to get 2/4.
- Multiply by 3 to get 3/6.
- Thus, 1/2 = 2/4 = 3/6.
-
Finding Equivalents on the Number Line:
- Demonstrate plotting equivalent fractions on a number line to visualize their equivalency.
Guided Practice (10 minutes)
- Distribute worksheets with various fractions and ask students to find equivalent fractions for the given numbers.
- Example fractions to work with:
- Walk around to assist students as they work through the problems.
Independent Practice (5 minutes)
- Provide students with a set of fractions and ask them to identify which pairs are equivalent.
- Example pairs:
- (1/4 and 2/8), (2/3 and 4/6), (3/5 and 6/10), (1/2 and 3/5).
Closure (5 minutes)
- Call on students to share their findings about equivalent fractions.
- Recap the concept of equivalent fractions and emphasize that they can be found through multiplication and division of the numerator and denominator.
Homework
- Assign the following problems for homework to reinforce the concept of equivalent fractions:
-
Find three equivalent fractions for the following:
a. 1/2
b. 3/5
-
Which of the following pairs are equivalent? Circle the correct pairs:
a. (2/6 and 1/3)
b. (4/8 and 2/4)
c. (5/10 and 2/5)
d. (1/4 and 3/8)
Answers to Homework
-
Equivalent Fractions:
a. Possible answers: 2/4, 3/6, 4/8
b. Possible answers: 6/10, 9/15, 12/20
-
Equivalent Pairs:
a. Yes (2/6 = 1/3)
b. Yes (4/8 = 2/4)
c. Yes (5/10 = 2/5)
d. No (1/4 ≠ 3/8)
Reflection
- After students complete their homework, assess their understanding and address any misconceptions in the next lesson.