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.