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# 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.

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#### 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).

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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

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#### 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?**

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- UNIT 1: 1st Week: Getting to Know Each Other Through Graphs
- UNIT 2: Addition and Subtraction
- UNIT 3: Multiplication
- UNIT 4: Introduction to Basic Division
- UNIT 5: Division in Context
- UNIT 6: Time
- UNIT 7: Rounding
- UNIT 8: Place Value Practice
- UNIT 9: Fractions
- UNIT 10: Math and Me: Nutrition, Health and More
- UNIT 11: Geometry in Architecture
- UNIT 12: Time Cycle 2
- UNIT 13: Patterns in Math
- UNIT 14: Area and Perimeter
- UNIT 15: Solving Mult-Step Word Problems Using the Four Operations
- UNIT 16: Musical Fractions
- UNIT 17: Volcanoes (Data Collection, Graphs, Addition & Subtraction)

- 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