##
* *Reflection: Lesson Planning
Basic Fractions on a Number Line (Thirds, Sixths, Tenths) - Section 3: Differentiated Independent Practice

I don't want the pages I provide to be confused with old-fashioned worksheets, though I know in appearance they are sometimes similar. I often write out the specific problems I want students to work through because in doing so it prompts them to think about a certain concept.

For example, I made certain to include benchmark fractions (1/3 and 1/6) and a few equivalent fractions (3/6). While I can make up problems on the spot, (we all can, right?), efficacy is increased when I think through deceptively simple tasks such as these ahead of time to insure I target problem areas (how to divide thirds into sixths), key concepts (benchmark fractions, equivalencies, and wholes) and that the questions I ask to stretch students are purposeful, not just hard!

*Planning Problems Ahead of Time*

*Lesson Planning: Planning Problems Ahead of Time*

# Basic Fractions on a Number Line (Thirds, Sixths, Tenths)

Lesson 2 of 9

## Objective: SWBAT locate and represent thirds, sixths, and tenths on a number line in amounts up to but not exceeding one whole.

*62 minutes*

#### Opener

*7 min*

I ask students to think about what other fractions there might be besides halves, fourths, and eighths. I'm always hopeful that someone will say tenths!

First I have them share their thoughts with a neighbor and then call on a few students to share with the class. In this part of the lesson, I emphasize their willingness to stretch their thinking rather than getting into the details of any particular fraction.

I tell them that today we will work with thirds, sixths, and tenths.

*expand content*

#### Guided Practice

*25 min*

Today we go through the same process with thirds, sixths and tenths that we did with halves, fourths and eights. Dividing a line segment into thirds is more difficult than dividing it in half. Here is how I teach it:

I like to have my students work through this on whiteboards because it gives them practice dividing the number lines into thirds but I provide a page for students with handwriting challenges or an overwhelming desire to make *"the perfect line"*.

I observe how students are processing the idea of thirds and sixths and if it seems that the majority of them can move to ninths without being discouraged or confused, I do so. Then I move to tenths and for that I draw the line or project it on the board myself. They don't need to write out the number line with 12 marks at this point. (zero, the 9 dividing lines, and 1).

*expand content*

If students made a constructive choice yesterday, I let them choose their "level" again today. Often students who choose the "easier" list will ask if they can also do problems from the more difficult list. What teacher would ever say, no?!

I project Fractions on Number Line (thirds, sixths differentiated) independent practice on the board and students draw the number lines on their whiteboards. I have students work with "teacher" partners, some self-selected and some teacher chosen. As they are working, I walk around to discuss their thinking with them. Here is a Student Thinking about Thirds.

#### Resources

*expand content*

#### Exit Ticket

*5 min*

I have students write an answer to this prompt in their journals OR ask them to think about it and then write it up at home. Any answer is okay as long as they make an attempt.

**What pattern did you see with sixths and thirds that was similar to a pattern you observed with eighths, fourths and halves?**

*expand content*

*Responding to Diane Grebner*

Diane: I hope that you find it useful! I'd love to hear how it works in your classroom! Enjoy the rest of the summer, Jennifer Valentine

| 2 years ago | Reply

Thanks for this lesson on fractions! Can't wait to use it this new school year!

| 2 years ago | Reply

*expand comments*

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- LESSON 1: Basic Fractions on a Number Line (Divisible by Two)
- LESSON 2: Basic Fractions on a Number Line (Thirds, Sixths, Tenths)
- LESSON 3: Matching Models (Number Lines and Diagrams)
- LESSON 4: Fractions on a Number Line - Beyond One Whole
- LESSON 5: Adding Fractions with Common Denominators
- LESSON 6: Subtracting Fractions with Common Denominators
- LESSON 7: Simple Fraction Addition Stories
- LESSON 8: Amazing Atoms - An Integrated Fraction Lesson
- LESSON 9: Fractions Formative #1