© Pearson Education, Inc. 3
Problem
of the
Day
12-7
Fill the boxes with the numbers
1, 2, 3, and 4. Use each number only
once to make two fractions to
compare.
12-7
Topic 12
71
Problem of the Day
⬍
Problem of the Day 12-7
Nombre
Choose the best answer.
1. Craig rode his bicycle 32 miles on
Monday, 58 miles on Wednesday,
and 19 miles on Friday. What
is the best estimate for the total
number of miles Craig rode?
Daily Spiral Review
12-7
4. How many lines of symmetry does
the figure below have?
A 90 miles
B 100 miles
C 105 miles
D 110 miles
5. Write a fact family with 3, 7,
and 21.
2. How can the triangle below be
classified?
A Scalene, obtuse
B Scalene, acute
D Isosceles, acute
3. Gwen received __34 of her birthday
cards from family members. She
had a total of 12 cards. Which
fraction describes how many
cards came from family members?
A __39
7. Draw the next three shapes in the
pattern below.
9
B __
12
C __38
4
D __
12
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12-7
Daily Spiral Review
C Isosceles, obtuse
6. What is the name of a
quadrilateral that has 2 pairs of
equal sides and 4 right angles?
Draw the figure.
70
Topic 12
Nombre
Daily Spiral Review
12-7
Choose the best answer.
1. Craig rode his bicycle 32 miles on
Monday, 58 miles on Wednesday,
and 19 miles on Friday. What
is the best estimate for the total
number of miles Craig rode?
A 90 miles
B 100 miles
4. How many lines of symmetry does
the figure below have?
1
C 105 miles
D 110 miles
2. How can the triangle below be
classified?
A Scalene, obtuse
B Scalene, acute
D Isosceles, acute
3. Gwen received __34 of her birthday
cards from family members. She
had a total of 12 cards. Which
fraction describes how many
cards came from family members?
A __39
3 ⴛ 7 ⴝ 21, 7 ⴛ 3 ⴝ 21,
21 ⴜ 3 ⴝ 7, 21 ⴜ 7 ⴝ 3
6. What is the name of a
quadrilateral that has 2 pairs of
equal sides and 4 right angles?
Draw the figure.
Check students’
drawings.
rectangle
7. Draw the next three shapes in the
pattern below.
9
B __
12
C __38
4
D __
12
© Pearson Education, Inc. 3
12-7
Daily Spiral Review
C Isosceles, obtuse
5. Write a fact family with 3, 7,
and 21.
70
Topic 12
Nombre
Quick Check
12-7
1. Which letter on the number line stands for 2__14 ?
0
1
4
1
2
3
4
1
A
1
12
B
2
C
1
22
D
3
A A
B B
C C
D D
2. Which is a mixed number that is greater than 3 __14?
A 4
B 3 __34
C 3 __18
D 2 __34
3. Writing to Explain Adam drew part of a number line, but he
didn’t finish. Complete the number line. Label every point.
Tell how you decided on which numbers to write.
Quick Check 12-7
0
2
© Pearson Education, Inc. 3
Next, help a friend understand why 2 __21 is greater than 1 __34 , even
though __21 is less than __34. Also tell a friend why 6 __14 is less than 7,
even though 6 __14 has a whole number part and a fraction part.
72
Topic 12
Nombre
Quick Check
12-7
1. Which letter on the number line stands for 2__14 ?
0
1
4
1
2
3
4
1
A
1
12
B
2
C
1
22
D
3
A A
B B
C C
D D
2. Which is a mixed number that is greater than 3 __14?
A 4
B 3 __34
C 3 __18
D 2 __34
3. Writing to Explain Adam drew part of a number line, but he
didn’t finish. Complete the number line. Label every point.
Tell how you decided on which numbers to write.
Quick Check 12-7
0
2
Next, help a friend understand why 2 __21 is greater than 1 __34 , even
though __21 is less than __34. Also tell a friend why 6 __14 is less than 7,
even though 6 __14 has a whole number part and a fraction part.
© Pearson Education, Inc. 3
See students’ samples at the right.
72
Topic 12
Nombre
Reteaching
12-7
Fractions on the Number Line
A number line can be used to represent fractions and mixed
numbers. Mixed numbers are numbers that have a whole number
part and a fraction part.
To read a number line, find what each mark represents. The
number line will follow a pattern. In the number line below, each
mark represents __14.
0
1
4
1
2
3
4
1
1
1
14
3
12
14
2
1
24
1
22
3
24
3
You can use a number line to compare fractions and mixed
numbers. The number that is farther to the right is the greater
number.
1__12
1__34
Since 1__34 is to the right of 1__12,
1__12 ⬍ 1__34
1. Write the missing fractions or mixed numbers on the number line.
1
4
3
4
1
1
2
12
1
Reteaching 12-7
0
3
24
2. Write the missing numbers in order from greatest to least.
Compare. Write ⬍, ⬎, or ⫽. Use the number line above to help.
3. __12
3
__
4
4. 1
1
__
2
5. 2 __14
1__34
© Pearson Education, Inc. 3
6. Reasoning Is a mixed number always greater than a whole
number? Explain.
Topic 12
73
Nombre
Reteaching
12-7
Fractions on the Number Line
A number line can be used to represent fractions and mixed
numbers. Mixed numbers are numbers that have a whole number
part and a fraction part.
To read a number line, find what each mark represents. The
number line will follow a pattern. In the number line below, each
mark represents __14.
1
4
0
1
2
3
4
1
1
1
14
3
12
14
2
1
24
1
22
3
3
24
You can use a number line to compare fractions and mixed
numbers. The number that is farther to the right is the greater
number.
1__34
1__12
Since 1__34 is to the right of 1__12,
1__12 ⬍ 1__34
1. Write the missing fractions or mixed numbers on the number line.
1
__
2
3
4
1
1__41
1
12
1__34
2
1
24
2__12 2__34
Reteaching 12-7
1
4
0
3
2. Write the missing numbers in order from greatest to least.
2 __34, 2 __12, 1__34, 1__14, __12
Compare. Write ⬍, ⬎, or ⫽. Use the number line above to help.
3. __12
<
3
__
4
4. 1
> __12
5. 2 __14
> 1__34
© Pearson Education, Inc. 3
6. Reasoning Is a mixed number always greater than a whole
number? Explain.
No. A mixed number is only greater than a whole
number if the whole number part is equal to or
greater than the whole number.
Topic 12
73
Name
Practice
12-7
Fractions on the Number Line
1. Complete the number line by writing the missing fractions
and mixed numbers.
0
1
4
1
1
2
12
3
1
14
3
22
Compare. Write ⬍, ⬎, or ⫽. Use the number line above to help.
2. __34
1
__
3. 1__24
2
4. 1__34
1__12
2 __14
5. What is the order of 1__14 , 2 __12 , and 1__34 from least to greatest?
Use the number line for 6 and 7.
A
Start
1
End
2
3
6. Lorne is running a 3-mile race. He
stops at Water Stop A. How far
did Lorne run?
7. How far is Water Stop B from the
end of the race?
8. Explain It How can you compare
two fractions by using a number
line?
9. Geometry What fraction of the
angles in this parallelogram are
acute angles?
A __14
B __12
C __23
D __34
74
Topic 12
© Pearson Education, Inc. 3
Practice 12-7
0
B
Name
Practice
12-7
Fractions on the Number Line
1. Complete the number line by writing the missing fractions
and mixed numbers.
1
4
0
1
2
3
__
4
1
1 1__4
1
12
3
14
2 2 __14
1
22
2 __34
3
Compare. Write ⬍, ⬎, or ⫽. Use the number line above to help.
2. __34
>
1
__
3. 1__24
2
ⴝ 1__12
4. 1__34
<
2 __14
5. What is the order of 1__14 , 2 __12 , and 1__34 from least to greatest?
1_14, 1_34 , 2_12
Use the number line for 6 and 7.
Practice 12-7
0
B
1
End
2
3
6. Lorne is running a 3-mile race. He
stops at Water Stop A. How far
did Lorne run?
7. How far is Water Stop B from the
end of the race?
8. Explain It How can you compare
two fractions by using a number
line?
9. Geometry What fraction of the
angles in this parallelogram are
acute angles?
_3 mile
4
The fraction that
is to the right
is the greater
fraction.
1_12 miles
A __14
B __12
C __23
D __34
74
Topic 12
© Pearson Education, Inc. 3
A
Start
Name
Enrichment
12-7
Find the Missing Fractions
Patterns
Complete the number line by writing the missing fractions
and mixed numbers.
1.
0
1
6
0
1
5
0
1
8
1
3
2
3
1
1
1
16
5
12
2
16
2.
2
5
4
5
1
1
3
15
4
2
2
15 15
3
3
25 25
3.
3
8
1
2
3
4
7
8
1
1
1
18 14
1
5
12 18
7
18
2
Compare. Write ⬍, ⬎, or ⫽. Use the number lines above to help.
4. __13
1
__
6
5. 1__23
1__56
6. __45
1
7. 1__35
2__15
8. __34
5
__
9. 1__14
1__28
8
10. What is the order of 1__23 , 1__16, and 1__56 from greatest to least?
Enrichment 12-7
© Pearson Education, Inc. 3
11. What is the order of 1__38 , 1__14, and 1__12 from least to greatest?
Topic 12
75
Name
Enrichment
12-7
Find the Missing Fractions
Patterns
Complete the number line by writing the missing fractions
and mixed numbers.
1.
0
1
6
0
1
5
0
1
8
2.
3.
_1
1
3
2
5
_1
4
_3
4
5
5
3
8
1
2
_5
2
3
2
1
_5
8
1
15
3
4
1_25
7
8
1_13
1
1
6
16
3
4
2
15 15
1
1
1
18 14
1_23
1
12
2 _15
1_38
2
3
25 25
1
5
12 18
5
2
2 _45
3
7
2
16
1_34
18
Compare. Write ⬍, ⬎, or ⫽. Use the number lines above to help.
4. __13
6. __45
8. __34
> __16
<1
> __58
< 1__56
1__35 < 2__15
1__14 ⴝ 1__28
5. 1__23
7.
9.
10. What is the order of 1__23 , 1__16, and 1__56 from greatest to least?
Enrichment 12-7
1_56, 1_23, 1_16
11. What is the order of 1__38 , 1__14, and 1__12 from least to greatest?
© Pearson Education, Inc. 3
1_14, 1_38, 1_12
Topic 12
75