### Lesson plan

# Fraction Simplest Form by Greatest Common Factor

#### Learning Objectives

Students will be able to simplify fractions using the greatest common factor between numerators and denominators.

#### Introduction

*(5 minutes)*

- Write the following fraction on the board:
**2436/3325** - Ask your students to turn and tell their neighbor a strategy to reduce the fraction to its "simplest form," but don’t clarify the term yet!
- Allow students to share their ideas with the whole class or with a partner. Note related academic terminology for future reference.
- Reveal that today’s lesson is about simplifying fractions with larger numerator and denominators by using their greatest common factor. Explain that
**simplest form**is when a fraction’s numerator and denominator can no longer be divided evenly by a common factor.

#### Explicit Instruction/Teacher modeling

*(10 minutes)*

- Hand out and lead your class through the opening model of the Equivalent Fractions and Greatest Common Factor worksheet.
- Answer any clarifying questions.

#### Guided Practice

*(10 minutes)*

- Lead your class through exercise #1.
- Guide your students through exercise #2, with students reading and offering explanations for as many next steps as possible.

#### Independent working time

*(15 minutes)*

- Release your students to complete the remaining exercises on the worksheet independently.

#### Differentiation

**Support**

- For students needing more practice factoring, have them complete the Greatest Common Factor: Easy worksheet noted in the references section of this lesson plan.

**Enrichment**

- Share the strategy for finding if a number is divisible by three. If the sum of the digits are divisible by three, the face value of the number is divisible by three.
- For example: 363 is divisible by 3, because 3 + 6 + 3 = 12, and 12 is divisible by 3 (12 = 3 x 4).

- Have students make up fractions with:
- Numerators and denominators with three to four digits
- Divisible by three
- A solution for simplest form

#### Technology Integration

- Powerpoint and Keynote are great slide show applications for presenting processes one step at a time.

#### Assessment

*(5 minutes)*

- Show your students a fraction with a single-digit numerator and denominator.
- Then have them lead you through to an equivalent fraction with a three-digit numerator and denominator.

#### Review and closing

*(10 minutes)*

- Allow your students to share out answers whole class.
- Discuss: What can simplified fractions tell us about equivalent forms with larger numerators and denominators?