Today we will represent mixed numbers 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.

✓ Mixed Number-has a part that is a whole number and a part that is a fraction.

Concept

How much of my Hershey Bar would you like?

When will I EVER do this?18

210

24

35

540

840

2040

2440

10 2440

2040

840

540

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

Mixed Number

• A mixed number has a part that is a whole number and a part that is a fraction.

= 1 34

What is the mixed number?

= 3 34

What is the mixed number?

= 4 34

What is the mixed number?

= 5 12

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 mixed numbers on a

number line?

IMP

What are other reasons why it is important we can identify fractions on a number line?

Being able to represent mixed numbers on a number line helps visualize, or see, the answer to a problem.

Number lines help us compare and order numbers.

Representing mixed numbers on a number line.Step 1: Look at the number lineStep 2: Look at the mixed number you are going to represent (place) on the number line.Step 3: If necessary, label all the points on the number lineStep 4: Place the point on the number line.

Represent point A at 1 ¼ .

A

.

Identifying mixed numbers on a number line.Step 1: Look at the number lineStep 2: Look where on the number line the point is locatedStep 3: If necessary, label all the points on the number lineStep 4: Write the place where the point is located

X

.Represent point X at 2 ¼ .

Identifying mixed numbers on a number line.Step 1: Look at the number lineStep 2: Look where on the number line the point is locatedStep 3: If necessary, label all the points on the number lineStep 4: Write the place where the point is located

B

.Represent point B at 2 ¾ .

Let’s review what we learned about representing mixed numbers 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?