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# Adding and Subtracting Fractions Day 2

Lesson 6 of 19

## Objective: SWBAT: • Make an estimate for a fraction addition or subtraction problem. • Develop strategies for adding and subtracting fractions.

## Big Idea: How would you add 2 ½ and 2/3? How would you find the difference between 2 ½ and 2/3? Students continue to develop strategies for adding and subtracting fractions.

*60 minutes*

#### Do Now

*10 min*

See my **Do Now** in my Strategy folder that explains my beginning of class routines.

Often, I create do nows that have problems that connect to the task that students will be working on that day. Today I want students to work on adding mixed numbers. Some students may draw a picture and figure out how to combine them. Other students may add the wholes and then add the fractions using common denominators.

Students participate in a **Think Pair Share**. I call on students to share out their thinking. I put a couple students’ work under the document camera to show how they approached the problem. I want students to recognize that they are applying the same strategies that they have worked on with proper fractions, except now the fractions are larger.

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#### Recipe Problems

*20 min*

**Section 2: Recipe Problems: (20 minutes) **

Notes:

- I use the data from the ticket to go from
**Adding and Subtracting Fractions Day 1**to**Create Homogeneous Groups.**Students will work in partners. - Each student will need a Recipe Cards handout

I have students move to their partners. I ask students when they have used spices. We work through problems 1 and 2 together. For each part of the problem, I ask students to identify which operation they need to use and *why. * Then I ask them to think of an estimate and then find the answer. I encourage students to draw pictures to help them.

For part 1b, I have students draw a picture and we shade 2 5/8. To compare, we take away 5/8 and we can clearly see that there are 2 ounces leftover. For part 1c, again I have students draw a picture of 1 1/8. Now we are taking away 5/8. I ask students how we could do this? Some students may take (cross out) 5/8 form the 1, leaving 3/8 and 1/8 leftover. Other students may cross out the 1/8 and then realize that they need to take way (cross out) 4/8 or ½ from the whole, leaving 4/8 or ½ of an ounce leftover. Other students may try to use an algorithm involving trading 1 whole for 8/8 and go from there. If a student does this, I still require them to draw a picture and use it to show what they are doing. I do not want students to apply an algorithm that they do not fully understand. In my experience when I try to teach this algorithm many students get confused and make careless mistakes without applying all that they already know about fractions.

We go through problem 2 in a similar manner. Problem 2c involves subtracting 2/5 from 1 1/10. I have students draw a picture of 1 1/10 and then ask students to brainstorm what we could do. Student ideas will be similar to problem 1b and 1c. The difference comes with how we interpret what is leftover. If a student takes 2/5 away from the whole, he/she is left with 3/5 and 1/10. The student must then use their knowledge of adding fractions to figure out what is left.

I have students work with their partner on problem 3. I walk around and monitor student work. Common mistakes include using the incorrect operation and making mistakes in creating common denominators. If I see this happen, I ask students to read and explain the question to me. Then I have them create or show me their model.

If students successfully complete the problems, they can move on the “Looking for Patterns” problems.

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#### Looking for Patterns

*20 min*

Notes:

- This will not be enough time for students to work through all of the problem sets.
- Students will start working on these problems and they have more time to work on them in the next lesson.

I have students come back together as a class. I explain to them that they are going to apply what they’ve been working on for the past two lessons and look for patterns. They can choose to draw pictures or not, but it is important that they show all of their work.

As students work, I walk around and monitor student progress and behavior. I make sure that partners check in with me when they have completed a page. I ask them to share what they noticed from the problems in the different groups. This way I can quickly check student work and identify any glaring problems. Students are engaging in **MP4: Model with mathematics **and **MP8: Look for and express regularity in repeated reasoning**.

If students are struggling I have them explain their models and their estimates. How could you draw a picture to represent that? If students struggle with equivalence, they need to use the fraction kit to model their thinking. This way they can make comparisons between fractions and create their own equivalent fractions.

I do not anticipate many partner pairs finishing this work. But if students successfully complete their work I give them a choice:

- Create a poster for one of the groups of problems. They will show their work and explain what they problems have in common.
- Work as a teacher’s assistant with a partner pair who needs help
- Play “The Smaller Answer Wins” with their partner
- This game requires dice. I start off with students replacing the 5 on the die with an 8. This makes it easier to create common denominators and compare answers.
- If students need an extra challenge, I have them use the 5 on the die, instead of replacing it.

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#### Closure and Ticket to Go

*10 min*

For **Closure **I ask students, “ How would you add 3 4/5 and 1 ¾? I call on students to share out their answers. I want students to realize that they can just add the whole numbers and then figure out how to add the fifths and fourths by creating common denominators.

Then I ask, “How would you subtract 4 3/5 and 1 1/3?” I call on students to share their ideas. I want students to make connections between their strategies.

I pass out the **Ticket to Go**. Then I pass out the **HW Adding and Subtracting Fractions Day 2.**

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*I love the recipe portion of this lesson! My kids enjoyed trying to figure all of that out for themselves. Thanks so much for sharing this! | 2 months ago | Reply*

The groups really helped my students look for patterns and figure out their own rules for adding and subtracting with mixed numbers. The way your groups are organized was good scaffolding for harder and harder concepts (particularly borrowing with mixed numbers).

| 2 years ago | Reply##### Similar Lessons

Environment: Suburban

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

*Favorites(19)*

*Resources(25)*

Environment: Urban

Environment: Urban

- UNIT 1: Intro to 6th Grade Math & Number Characteristics
- UNIT 2: The College Project - Working with Decimals
- UNIT 3: Integers and Rational Numbers
- UNIT 4: Fraction Operations
- UNIT 5: Proportional Reasoning: Ratios and Rates
- UNIT 6: Expressions, Equations, & Inequalities
- UNIT 7: Geometry
- UNIT 8: Geometry
- UNIT 9: Statistics
- UNIT 10: Review Unit

- LESSON 1: Pretest
- LESSON 2: Many Names for Fractions
- LESSON 3: What Fraction of the Section Does Each Person Own?
- LESSON 4: Which Fraction is Greater?
- LESSON 5: Adding and Subtracting Fractions Day 1
- LESSON 6: Adding and Subtracting Fractions Day 2
- LESSON 7: Looking for Patterns + Show What You Know
- LESSON 8: Representing Fraction Multiplication
- LESSON 9: Representing Fraction Multiplication Day 2
- LESSON 10: Mixed Number Multiplication
- LESSON 11: The Multiplying Game
- LESSON 12: Connecting Multiplication and Division
- LESSON 13: Dividing Whole Numbers by Fractions
- LESSON 14: Dividing Fractions by Fractions
- LESSON 15: Strategies for Dividing Fractions
- LESSON 16: Strategies for Dividing Fractions Day 2 + Show What You Know
- LESSON 17: Unit Review
- LESSON 18: Unit Closure
- LESSON 19: Unit Test