##
* *Reflection: Diverse Entry Points
Equivalent Fractions with Equations - Section 3: Closer

Area models are another great way to show fractions. I think of area model fractions as just an extension of fraction bars. I think area models are an easier tool for most students because the boxes are all the same size. Some students struggling with spatial reasoning and fraction bars are tough for them when they can’t figure out how to divide something into thirds or fifths. By introducing yet another type of model for students I am able to reach a few more students or deepen the knowledge of others.

*Many types of models for many types of learners.*

*Diverse Entry Points: Many types of models for many types of learners.*

# Equivalent Fractions with Equations

Lesson 8 of 17

## Objective: The students will be able to create and identify equivalent fractions using equations.

*60 minutes*

#### Opener

*15 min*

This lesson focuses on using equations to determine equivalent fractions. Students will have a number talk about equivalent fractions as a large group. They will then view an online interactive about equivalent fractions and practice the concept with a partner. The lesson wraps up with an instructional task to check for understanding.

To begin today’s lesson students have a number talk. I display 15/45 = 3/9 on the board and ask students to think quietly for a couple minutes. I then ask them to share with their partner what their thoughts were on the display and then bring everyone into a large group discussion(MP 3). Although these fractions have larger denominators than the ones students have been using in previous lessons, students should be able to apply their new knowledge of the equivalent fractions algorithm.

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#### Practice

*30 min*

To practice the equivalent fractions algorithm I have students start out by viewing a Scholastic Study Jam on equivalent fractions. This Study Jam can be done as a whole group or the students can work on it individually if a computer lab is an option.

Once students have viewed the Study Jam I have them work with a partner to complete the double-sided worksheet of Finding Equivalent Fractions. In this worksheet students need to find the numerator or denominator of pair of equivalent fractions.

After allowing the students time to work, I call upon students to share their thinking on how they solved some of the problems in the worksheet. I have students demonstrate their reasoning use a model of the fractions(MP 4).

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#### Closer

*15 min*

To end this lesson I have students complete an instructional task called A Trip to the Candy Store that I pulled from the New York State curriculum. The task focuses on students understanding of equivalent fractions and is a good measure of their depth of knowledge in fractional models and reasoning as well.

After allowing the students about five to ten minutes to work, I collect the papers and then go over the solutions to the task. The purpose for going over the solution is two-fold. One, I want students to know the solution. Two, I want students to be comfortable using an area model for modeling fractions.

#### Resources

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##### Similar Lessons

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###### Recalling Prior Knowledge of Adding and Subtracting Fractions

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- LESSON 1: Why Fractions
- LESSON 2: Pattern Block Fractions
- LESSON 3: Comparing and Ordering Fractions
- LESSON 4: Class Fractions
- LESSON 5: Ordering Fractions on a Number Line
- LESSON 6: Fractions on Number Line Task
- LESSON 7: Equivalent Fractions with Models
- LESSON 8: Equivalent Fractions with Equations
- LESSON 9: Adding Fractions with Models
- LESSON 10: Adding Fractions with Equations
- LESSON 11: Subtracting Fractions with Models
- LESSON 12: Subtracting Fractions with Equations
- LESSON 13: Adding/Subtracting Fractions Task
- LESSON 14: Adding/Subtracting Fractions Game
- LESSON 15: Mixed Numbers
- LESSON 16: Mixed Numbers Task
- LESSON 17: Adding and Subtracting Fractions Assessment