Welcome

0 1 2 3 4 5 6 7 8 9 10

1

0 1 2 3 4 5 6 7 8 9 10

2

3

0 1 2 3 4 5 6 7 8 9 10

4

0 1 2 3 4 5 6 7 8 9 10

5

0 1 2 3 4 5 6 7 8 9 10

3+2

0 1 2 3 4 5 6 7 8 9 10

3+2

0 1 2 3 4 5 6 7 8 9 10

3+2=5

0 1 2 3 4 5 6 7 8 9 10

7-3=

0 1 2 3 4 5 6 7 8 9 10

7-3=

0 1 2 3 4 5 6 7 8 9 10

7-3=

0 1 2 3 4 5 6 7 8 9 10

7-3=4

0 1 2 3 4 5 6 7 8 9 10

Hold everything!

I think I’ve discovered our first

clue.

Follow me.

Sure enough!

Would you look at that!

0 1 2

Sure enough!

Would you look at that!

0 1 2

Sure enough!

Would you look at that!

0 1 2

Sure enough!

Would you look at that!

0 1 2

Sure enough!

Would you look at that!

0 1 2

Sure enough!

Would you look at that!

0 1 2

Sure enough!

Would you look at that!

0 1 2

I can’t make any sense of it.

How about you Spot?

0 1 2

?

Maybe I can help.

Oh! Hi Donna.Can you tell me

something about plotting fractions

on a number line?

0 1 2

Yes. It’s not that

complicated. Let me explain.

On a number line, a unit has the value of 1.

The red line represents

one unit that starts at 0 and

ends at 1.

0 1 2

This red line shows 2 units.

The 2 units start at 0 and

end at 2.

0 1 2

A unit can be split into

equal parts.

0 1

0 1

Here is a unit. It has been split into 4

equal parts.

Each part represents a

fraction with a denominator

of 4. 4

As we count the fractions

along the number line we

get…

0 1

As we count the fractions

along the number line we

get…

04

0 1

As we count the fractions

along the number line we

get…

Counting

fractions

14

0 1

As we count the fractions

along the number line we

get…

24

0 1

As we count the fractions

along the number line we

get…

34

0 1

As we count the fractions

along the number line we

get…

44

0 1

14

34.

0 1

?

I just added a point on

the number line.

Let’s see if we can discover

it’s name.

?

0 1

Let’s count the pieces.

0

0 1

Plotting a point

1

0 1

Let’s count the pieces.

2

0 1

Let’s count the pieces.

3

0 1

Let’s count the pieces.

0 1

0 1

No problem, Lenny. Let’s look at some

more examples.

?

I’m confused! I still don’t

understand how to plot a fraction

on a number line.

0 1

I have placed a point on the number line. What is the name of this

point?

?

0 1

Let’s count the thirds

and find out.

I have placed a point on the number line. What is the name of this

point?

0Let’s count the thirds

and find out.

0 1

I have placed a point on the number line. What is the name of this

point?

1Let’s count the thirds

and find out.

0 1

I have placed a point on the number line. What is the name of this

point?

2Let’s count the thirds

and find out.

0 1

I don’t know.

0 1

0 1

I have placed a point on the number line. What is the name of this

point?

?Let’s count the fifths and

find out.

0 1

I have placed a point on the number line. What is the name of this

point?

0Let’s count the fifths and

find out.

0 1

I have placed a point on the number line. What is the name of this

point?

1Let’s count the fifths and

find out.

0 1

I have placed a point on the number line. What is the name of this

point?

2Let’s count the fifths and

find out.

0 1

I have placed a point on the number line. What is the name of this

point?

3Let’s count the fifths and

find out.

0 1

The numerato

r is 3Wait, I’ve got it.Uh… I forgot.

0 1

OK, students. Lenny really needs your help. Let’s work together and

help him understand how he can plot

fractions on a number line.

Teachers,when you see this symbol check

for understanding by randomly picking a student to respond to the

question.

0 1

Here is a unit. It has been split into how many equal parts?

Tell your partner.

What is the denominator and what

is the name of each piece? Tell your partner.

How far is this point from zero? What is the

numerator, and what is the name of the point? Talk it over with your partner.

0 1

0 1

0 1

Here is a unit. It has been split into how many equal parts?

Tell your partner.

What is the denominator and what

is the name of each piece? Tell your partner.

How far is this point from zero? What is the

numerator, and what is the name of the point? Talk it over with your partner.

0 1

Good job!Now you will need your dry erase boards for the next

part of the lesson.

0 1

0 1

This unit has been split into how many equal pieces? Write

the number of pieces on your dry erase

boards.

0 1

3

0 1

Now, how far is this point from

zero? What is the numerator? Write

it on your dry erase board.

0 1

2

The point is 2 parts of the

distance from 0 to 1 so the numerator is

2.

Now, what is the name of the

fraction?

Now, let’s try another.

0 1

0 1

This unit has been split into 4 equal pieces, so 4 is the ______________. Is it the numerator or the

denominator?

Write your answer on

your dry erase board.

0 1

OK, Lenny. Listen to the students. It looks like they can give you the answer to this one.

It’s your turn students. Get ready

to tell Lenny. This line has been split into 4 equal parts, so 4 is

the…

?

Denominator

Denominator

Denominator

Denominator

Denominator

Denominator

Good job Lenny. Thank you students.

I’ve added a point to this number line.

Can you tell me the name of the point? Write it on your dry

erase board.

0 1

Denominator

Excellent Lenny. I think you’ve got it.

Thank you students!

0 1

That’s all for now, boys and girls. You helped Lenny

learn how to plot fractions on a number line.

Now you can teach your friends and even your parents about plotting

fractions on a number line.

Note to Teachers: Before you begin this presentation, please write

denominator and numerator where students can refer to them on the board. These vocabulary words will not be defined before the lesson, but the definitions will be revealed as the lesson progresses.

Credits:• Clip Art courtesy of My Cute Graphics:

http://www.mycutegraphics.com/• The ideas for this presentation came from a workshop

presented by Pam Hutchinson, Director, UC Davis Math Project and hosted by Vacaville Unified School District.