Transcript EDI NS 1_5_A2 Identify Fractions on a Number Line

Today we will identify
fractions on a number line .
✓ identify- locate; find
✓ represent- draw and label
✓ fraction - represents part of a whole or
part of set; top number is the
numerator, bottom number is the
denominator.
Concept
When will I EVER do this?
How much of my Hershey Bar would you like?
2
4
20
40
0
5 8
40 40
1
8
5
40
3
5
24
40
20 24
40 40
2
10
8
40
1
fraction
a number that shows part of a whole or
part of a set
3
4
=
Part of a whole
The denominator, the number on the bottom, gives the total
number of parts.
The numerator, the number on the top, gives the number of
parts being used.
Three out of a total of four squares are blue. Three fourths of the
box is blue.
APK
fraction
3
4
Part of a set
Three out of
four boxes
are blue.
APK
fraction
10
20
100
10
Twenty out
of 100
boxes are
blue.
APK
fraction
1
5
One out of
five pie
pieces are
blue .
APK
number line
a picture of a straight line on which every point
corresponds to a real number and every real
number to a point.
-3
-2
-1
0
1
2
3
APK
Why is it important that we can identify
fractions on a number line?
 Being able to represent fractions on a number line
helps visualize, or see, the answer to a problem.
 Number lines in math are like graphic organizers in
writing, they help us organize our information.
 Number lines help us compare and order numbers.
What are other reasons why it is important we can
identify fractions on a number line?
IMP
Comparing and Ordering Numbers
✤
✤
✤
When we compare we use terms such as:
✤ Less than <
✤ Greater than >
✤ Equal to =
Comparing fractions is similar to comparing
whole numbers.
✤ 45<47
✤ 150>105
When we compare fractions we look at the
denominators first, if they are the same we
look at the numerator.
Identifying fractions on a number line.
Step 1: Determine the value for each segment on a number line.
The denominator represents the total number of segments between
whole numbers.
Step 2: Beginning at the appropriate whole number, count the number of segments
between the whole number and the point you are trying to identify.
Step 3: Write the value of the point as a fraction.
Remember the denominator represents the total number of segments,
the numerator represents the number of segments you are using.
Step 4: Reduce the fraction if possible.
Identify point A on this number line.
A
1
10
0
2
10
3
10
4
10
8 out of ten segments
5
10
6
10
7
10
8
10
A= =
8
10
4
5
9
10
10
10
1
CD
Identifying fractions on a number line.
Step 1: Determine the value for each segment on a number line.
The denominator represents the total number of segments between whole numbers.
Step 2: Beginning at the appropriate whole number, count the number of segments between the whole
number and the point you are trying to identify.
Step 3: Write the value of the point as a fraction.
Remember the denominator represents the total number of segments, the numerator
represents the number of segments you are using.
Step 4: Reduce the fraction if possible.
Identify point B on this number line.
B
1
10
2
10
3
10
4
10
5
10
6
10
7
10
0
8
10
9
10
10
10
1
4 out of ten segments
B=
4
10
CD
Identifying fractions on a number line.
Step 1: Determine the value for each segment on a number line.
The denominator represents the total number of segments between whole numbers.
Step 2: Beginning at the appropriate whole number, count the number of segments between the whole
number and the point you are trying to identify.
Step 3: Write the value of the point as a fraction.
Remember the denominator represents the total number of segments, the numerator
represents the number of segments you are using.
Step 4: Reduce the fraction if possible.
Identify point X on this number line.
x
1
5
2
5
3
5
4
5
0
5
5
1
3 out of five segments
X=
3
5
CD
Guided Practice
This is your Guided Practice.
We will work on this together.
If you have questions this is the
time to ask.
Please do NOT go ahead.
PLEASE ask questions.
Let’s review what we learned about
identifying fractions on a number line.
What is a number line?
A picture of a line where
each point represents a real
number and each number a
point.
Determine the value of each
How do you locate a
segment and then count the
point on a number line? number of segments being
used.
On your dry erase boards, draw a number line and
3
label 4 .
1
3
4
0
Independent Practice
This your Independent Practice.
You must complete all of the
problems without assistance.
You must SHOW ALL your work.
Take your time.
Work slowly and carefully.
When you finish you flip your paper
over and you made read quietly until
everyone is done.
Good Luck.