welcome 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 3+2 0 1 2 3 4 5 6 7 8 9 10
Post on 29-Dec-2015
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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.
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