today we will represent fractions on a number line
Post on 07-Jan-2016
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Today we will represent 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
fractiona number that shows part of a whole or
part of a set
The denominator, the number on the bottom, gives the total number of parts.
34
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
Part of a whole
Three out of four boxes are blue.
34
APK
fraction
Part of a set
10
10
Twenty out of 100 boxes are blue.
20100
APK
fraction
One out of five pie pieces are blue .
15
APK
fraction
number line
APK
a picture of a straight line on which every point corresponds to a real number and every real number to a point.
-1 0-2 1 2-3 3
Why is it important that we can represent fractions on a number
line?
IMP
What are other reasons why it is important we can represent fractions on a number line?
Number lines in math are like graphic organizers in writing, they help us organize our information.
Being able to represent fractions on a number line helps visualize, or see, the answer to a problem.
Number lines help us compare and order numbers.
✤ When we compare we use terms such as:When we compare we use terms such as:✤ Less than <Less than <✤ Greater than >Greater than >✤ Equal to =Equal to =
✤ Comparing fractions is similar to Comparing fractions is similar to comparing whole numbers.comparing whole numbers.
✤ 45<4745<47✤ 150>105150>105
✤ When we compare fractions we look at When we compare fractions we look at the denominators first, if they are the the denominators first, if they are the same we look at the numerator.same we look at the numerator.
Comparing and Ordering Numbers
1010
0 1
Representing 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. If your denominator does not match your number line you must convert the fraction accordingly.
Step 2: Beginning at the appropriate whole number, count the number of segments between the whole number and the point you are trying to locate.Step 3: Draw a point on the number line and label it appropriately.
Remember the denominator represents the total number of segments, the numerator represents the number of segments you are using.
CD
A
110
210
310
410
510
610
710
810
910
110
210
310
410
510
610
Label on this number line as point A.610
Representing fractions on a number line.
CD
1010
0 1
110
210
310
410
510
610
710
810
910
110
210
310
410
Step 1: Determine the value for each segment on a number line. The denominator represents the total number of segments between whole numbers. If your denominator does not match your number line you must convert the fraction accordingly.
Step 2: Beginning at the appropriate whole number, count the number of segments between the whole number and the point you are trying to locate.Step 3: Draw a point on the number line and label it appropriately.
Remember the denominator represents the total number of segments, the numerator represents the number of segments you are using.
Label as point X on this number line.410
X
Representing fractions on a number line.
CD
1010
0 1
110
210
310
410
510
610
710
810
910
110
210
310
410
Step 1: Determine the value for each segment on a number line. The denominator represents the total number of segments between whole numbers. If your denominator does not match your number line you must convert the fraction accordingly.
Step 2: Beginning at the appropriate whole number, count the number of segments between the whole number and the point you are trying to locate.Step 3: Draw a point on the number line and label it appropriately.
Remember the denominator represents the total number of segments, the numerator represents the number of segments you are using.
Label as point P on this number line.45
P
510
45 =x 2
x 2= 810
610
710
810
Guided PracticeThis is your Guided Practice.We will work on this together.
Please do NOT go ahead.
If you have questions this is thetime to ask.
PLEASE ask questions.
Let’s review what we learned about representing fractions on 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 segment and then count the number of segments being used.
How do you locate a point on a number line?
What is a number line?
On your dry erase boards, draw a number line and label .1
4
1 014
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.
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