Compare Fractions Using
Benchmarks
Name
Chapter 8, Lesson 8A
Objective: To use benchmark fractions to compare unlike fractions and
justify using models
8440-W_G4_CH08L08A_TA_01a
You can use a benchmark fraction to compare
two fractions with different denominators.
A benchmark is a number that is easy to use for
comparing.
1
2
1
2
0
1 is a benchmark fraction.
_
2
1 is halfway between 0 and 1.
_
2
3
4
?
_
_
Compare.
8
6
1
Use fraction strips that are the same size.
8440-W_G4_CH08L08A_TA_01b
Compare
1.
each fraction to _
2
8440-W_G4_CH08L08A_TA_01c
3 . Compare it to _
1.
1 Model _
8
4 . Compare it to _
1.
2 Model _
2
6
1
2
1
2
1
6
1
8
Copyright © by William H. Sadlier, Inc. All rights reserved.
2
3#_
1.
The fraction strips show that _
8
2
4!_
1.
The fraction strips show that _
6
2
3 The models show how the fractions compare.
3#_
1 , and _
1 , then _
3#_
4!_
4.
Since _
8
2
6
2
8
6
Practice
8440-W_G4_CH08L08A_TA_01d 8440-W_G4_CH08L08A_TA_01e
8440-W_G4_CH08L08A_TA_01f_anno
8440-W_G4_CH08L08A_TA_01g_anno
Use fraction strips to compare. Write !, ", or #.
3
1. _
4
?
5
2. __
12
2
_
8
1
2
1
2
?
5
_
6
1
2
1
2
1
4
3
_
4
!
1
_
2
3
So, _
4
2
_
8
2.
_
8
#
1
_
2
5
__
12
1
_
2
5
_
6
5
So, __
12
5.
_
6
1
_
2
Discuss and Write
3. Could you use fraction strips of different lengths for the whole
to compare fractions? Why or why not?
Grade 4, Lesson 8-8A
5104-2_WB04_199 199
199
1/28/13 9:34 AM
Compare Fractions Using
Benchmarks
Name
Chapter 8, Lesson 8A
Practice
8440-W_G4_CH08L08A_TA_02f_anno
8440-W_G4_CH08L08A_TA_02a_anno
8440-W_G4_CH08L08A_TA_02b_anno 8440-W_G4_CH08L08A_TA_02e_anno
Use fraction strips to compare. Write !, ", or #.
2
4. __
10
?
5
5. __
10
4
_
5
1
2
?
1
_
2
2
So, __
10
1
2
1
2
1
2
2
__
10
4
_
8
4
_
5
5
__
10
1
_
2
1
_
2
5
So, __
10
4.
_
5
4
_
8
1
_
2
4.
_
8
Compare. Write !, ", or #. Draw models to justify.
9
6. __
10
2
_
6
6
7. __
12
5
8. __
12
2
_
3
2
9. _
3
3
_
8
7
__
12
1
11. _
4
3
__
12
4
10. __
10
3
_
6
Problem Solving
1 pint of milk.
12. Zack drinks _
2
5 mile.
13. Kim walked _
8
1 mile.
Paola walked _
4
Who walked less?
7 kilometer.
14. Adam runs __
10
4 kilometer.
Juan runs _
5
Who runs the shorter distance?
7 pound of berries.
15. Maya picks _
8
3 pound of berries.
Jason picks _
4
Who picks the greater weight of berries?
3 pint of milk.
Torri drinks _
8
Who drinks more milk?
Test Preparation
16. Sam wants to use a benchmark fraction to compare
5 and __
9.
the fractions _
8
10
1 not useful as the only benchmark
a. Why is _
2
fraction to use to compare them?
5 and __
9
b. How can you compare the fractions _
8
10
1 as a benchmark? Explain.
without using _
2
200
Grade 4, Lesson 8-8A
5104-2_WB04_200 200
Copyright © by William H. Sadlier, Inc. All rights reserved.
Solve. Use a strategy that works best for you. Show your work.
For additional Practice, go to page 248 in this Workbook.
Then go to Lesson 8-9, pages 282–283 in the Student Book.
1/31/13 10:11 AM