Module 5 Lesson 25Express whole number fractions

on the number line when the unit interval is 1.

Subtract by 6 Sprint

2 minutes

End

Write Equal Fractions

0 2

0 = ?/5

1 3 4

0 = 0/5

1 = ?/5

1 = 5/5

2 = ?/5

2 = 10/5

3 = ?/5

3 = 15/5

4 = ?/5

4 = 20/5

Problem of the Day

Lincoln drinks 1 eighth gallon of milk every morning.

a. How many days will it take Lincoln to drink 1 gallon of milk? Use a number line and words to explain your answer.

0 11/8

= 1

day

8/8

= 8 days

It takes Lincoln 8 days to drink a gallon of milk.

Problem of the Day

Lincoln drinks 1 eighth gallon of milk every morning.

b. How many days will it take Lincoln to drink 2 gallons? Extend your number line to show 2 gallons and use words to explain your answer.

0 1

1/8

= 1

day

8/8

= 8 days

2

16/8

= 16

daysIt takes Lincoln 16 days to drink two gallons of

milk.

Concept Development

Please draw the following template on your white board.

Concept DevelopmentEach rectangle represents whole.

Partition the first rectangle into thirds, and write the whole as a fraction below it.

3/33/3 is equal to how many wholes?3/3 = 1 whole

Concept DevelopmentEach rectangle represents whole.

Partition the second rectangle into halves, and label the whole as a fraction below it.

3/3 = 1 whole 2/2 = 1 whole2/22/2 is equivalent to how many wholes?

Concept Development

Each rectangle represents a whole.Now partition the third rectangle into wholes.

3/3 = 1 whole 1/1 = 1 wholeOh wait! This rectangle is already a whole!

How are we going to label this whole as a fraction?

2/2 = 1 whole

Concept DevelopmentLet’s look at equivalent fractions we’ve written for 1 on the number

line. Start by marking each number line with the endpoints 0 and 1.

3/3 = 1 whole 1/1 = 1 whole2/2 = 1 whole

0 1

Concept Development

Now represent each rectangle on a different number line.Partition, label and rename each whole below the line.

3/3 = 1 whole 1/1 = 1 whole2/2 = 1 whole

0 1

thirds

1/3 2/3 3/3

halves1/2 2/2

whole1/1

Concept DevelopmentLet’s try it again … Erase and redraw your white board like this.

Each rectangle represents 1 whole.How many wholes are in each model?

2 wholes are in each model.

Concept Development

Partition the first model into thirds,the second into halves, and the third model into wholes.

Concept Development

Now, work with your partner to label each model.

6/3 = 2 wholes 4/2 = 2 wholes 2/1 = 2 wholes

Concept Development

Now let’s label the number lines according to these models.

6/3 = 2 wholes 4/2 = 2 wholes 2/1 = 2 wholes

thirds

0/3 1/3 2/3 3/3 4/3 5/3 6/3

0/2 1/2 3/22/2 4/2halves

wholes0/1 1/1 2/1

Problem Set