express whole number fractions on the number line when the unit interval is 1
TRANSCRIPT
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