##
* *Reflection: Backwards Planning
Mixed Numbers - Section 3: Closer

I wanted to take a second to rationalize why I covered how to convert between mixed numbers and improper fractions. Up until this point in the unit we have done extensive work in modeling fractions. But, mixed numbers and improper fractions are something that students have been using since third grade. The difference between the third grade fractions content and the fifth grade content is that students are required to add and subtract mixed numbers with unlike denominators. Hence, they have to be able to change one from the other.

Students find it easy to multiply the denominator by the whole number and add the numerator. They do however struggle with verbalizing what 4 1/2 means. So, rest assured in the next lesson in my unit, we are going to focusing more on the visual representation of mixed numbers. Every once and while I like to give them the easy stuff first.

*Duly Noted*

*Backwards Planning: Duly Noted*

# Mixed Numbers

Lesson 15 of 17

## Objective: The students will be able to add and subtract mixed numbers using models and equations.

*60 minutes*

#### Opener

*15 min*

In this lesson students will be completing a task that requires them to decide the order of the school day. Each subject is given a fraction in hours of how much time must be spent on it but students are able to fill the remaining time with science/social studies and a special(art/music/pe). After completing the task students will be introduced to vocabulary associated with mixed numbers.

To begin this lesson I show students a video of a school in Japan. Since our task is based on the school day I thought it would interesting for students to see what school life was like for students in another country. Upon completion of the video I ask students to briefly talk in their table groups about their observations. I have a few students share out to the group and then we move into the task.

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#### Practice

*30 min*

The task I am using for this lesson comes from the Massachusetts Race to the Top curriculum called New School Schedule. It provides a table for students that includes five things that the principal said must be included in the day. The student’s job is to determine how they would like to spend the remaining portion of the day. They must also create an order for the day and present it to the principal in writing.

I provide students with a copy of this task and allow them to work individually but collaboratively as they are able to discuss with their table. I ask them to create an equation to accompany the model of their answer(MP 4 and 7).

I allow the students plenty of time to work while I circulate the room and assist if necessary.

#### Resources

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#### Closer

*15 min*

To wrap up this activity I display the initial 5 1/2 hours on the board and talk about it as an addition problem. At this point I have to review some vocabulary to students; they need to know mixed number and improper fraction.

I take the time to explain to them how to go from a mixed number to an improper fraction and vice versa. As a class we draw conclusions as to the differences and similarities of mixed numbers and improper fractions.

*expand content*

##### Similar Lessons

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

*Favorites(19)*

*Resources(25)*

Environment: Urban

- 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