express whole number fractions on the number line when the unit interval is 1
TRANSCRIPT
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Module 5 Lesson 25Express whole number fractions
on the number line when the unit interval is 1.
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Subtract by 6 Sprint
2 minutes
End
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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
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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.
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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.
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Concept Development
Please draw the following template on your white board.
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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
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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?
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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
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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
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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
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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.
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Concept Development
Partition the first model into thirds,the second into halves, and the third model into wholes.
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Concept Development
Now, work with your partner to label each model.
6/3 = 2 wholes 4/2 = 2 wholes 2/1 = 2 wholes
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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
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Problem Set