Here’s a concise, classroom-ready 15-minute lesson designed specifically to pair with the Math-Aids Comparing Fractions worksheet.  

15-Minute Math Lesson Plan: Comparing Fractions

Grade Level: 3–5
Time: 15 minutes
Topic: Comparing Fractions
Materials: Math-Aids Comparing Fractions Worksheet, pencil, whiteboard

Learning Objective

Students will compare two fractions and correctly use the symbols >, <, and = to show which fraction is greater, less than, or equal to.

1. Warm-Up — 3 Minutes

Write on the board:

1/4 ___ 3/4

Ask:

“Which fraction is greater?”

Students should notice that the denominators are the same. Explain:

When denominators are the same, compare the numerators.

Since 3 is greater than 1:

1/4 < 3/4

Quickly review the symbols:

• > greater than

• < less than

• = equal to

2. Teacher Modeling — 4 Minutes

Example 1: Same Denominator

Write:

3/8 ___ 5/8

Because the denominators are the same, compare 3 and 5.

3/8 < 5/8

Example 2: Same Numerator

Write:

2/3 ___ 2/5

Both fractions have the same numerator. When the numerator is the same, the fraction with the smaller denominator is greater.

Therefore:

2/3 > 2/5

Example 3: Different Numerators and Denominators

Write:

1/2 ___ 3/4

Use a common denominator:

1/2 = 2/4

Now compare:

2/4 < 3/4

Therefore:

1/2 < 3/4

Emphasize that students should think about the size of the fractions, not simply which numerator or denominator is larger.

3. Guided Practice — 3 Minutes

Solve these together:

1. 4/7 ___ 2/7

Answer:

4/7 > 2/7

2. 3/5 ___ 3/8

Answer:

3/5 > 3/8

3. 2/3 ___ 3/6

Students can recognize that:

3/6 = 1/2

so:

2/3 > 3/6

Ask:

“What strategy did you use to compare the fractions?”

Encourage students to explain their thinking rather than simply state the symbol.

4. Worksheet Practice — 3 Minutes

Give students the Math-Aids Comparing Fractions Worksheet and have them begin working independently. The worksheet allows teachers to select denominators and generate comparisons using >, <, or =. (Math Aid)

Encourage students to use this routine:

1. Look at the denominators.

2. Look for a common denominator or an easy comparison.

3. Compare the fractions.

4. Write >, <, or =.

5. Check that the answer makes sense.

As students work, ask:

• “What do you notice about the denominators?”

• “Can you find a common denominator?”

• “Could you use a benchmark such as 1/2?”

• “How do you know your comparison is correct?”

5. Exit Check — 2 Minutes

Write:

3/4 ___ 5/8

Ask students to solve independently.

Since:

3/4 = 6/8

and:

6/8 > 5/8

the answer is:

3/4 > 5/8

Ask one student to briefly explain the strategy used.

Differentiation

Students needing support:
Begin with fractions that have the same denominator or same numerator. Use fraction strips or drawings to make the comparison visual.

Students working at grade level:
Use fractions with different numerators and denominators and require students to explain their strategy.

Students needing a challenge:
Have students compare fractions with larger denominators or explain two different strategies for the same comparison.

Common Misconception

Remind students:

A larger denominator does not automatically mean a larger fraction.

For example:

1/3 > 1/8

even though 8 is larger than 3. Each fraction represents a different-sized part of the same whole.

Assessment

Look for students who can:

• Correctly identify the greater or lesser fraction.

• Use >, <, and = correctly.

• Compare fractions with the same denominator.

• Compare fractions with different denominators.

• Explain how they determined their answer.

Success Criteria

“I can compare two fractions and use >, <, or = to show their relationship.”

--------------

Posed: 9/24/26

Education World®