Download Fraction Bars

Name: _________________________________
Compare and Order Fractions and Decimals
Fraction Bars
1. If the first strip represents one whole, determine the fractional value of the other strips
below.
1
0
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1
Supporting STAAR™ Achievement: Grade 8
Compare and Order Fractions and Decimals
2. Shade the following fractions on your fraction bars:
1 2 3 2 5 3 5
1
, , , , , , , and
.
2 3 4 5 7 8 9
10
3. Use your shaded fraction bars to compare each pair of fractions. Use > or < to represent which
is the larger fraction.
5
5
_____
7
9
1
2
_____
10
3
5
2
_____
7
5
1
1
_____
2
10
4. Use your straightedge and your fraction bars to help you locate and label the fractions on the
1 2 3 2 5 3 5
1
number line at the bottom of the paper: , , , , , , , and
.
2 3 4 5 7 8 9
10
5. List the fractions from your number line from least to greatest.
© Region 4 Education Service Center
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Supporting STAAR™ Achievement: Grade 8
Compare and Order Fractions and Decimals
Fraction Battle Set 1
1. Cut out the set of cards below.
2. Place the cards face down in a pile between you and your partner.
3. Each player will select a card. Compare the two fractions. The player with the greater fraction
keeps both cards.
4. Repeat this process until all cards have been used. The player with the greatest number of pairs
is the winner.
*
0
1
8
1
4
3
8
1
2
2
3
2
5
*
*
7
8
1
1
3
*
3
5
4
5
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5
8
3
4
Supporting STAAR™ Achievement: Grade 8
Name: _________________________________
Compare and Order Fractions and Decimals
Comparing Numbers
1. Align the edges of your patty paper with the outline of the patty paper shown below.
2. Use a ruler to trace the number lines onto your patty paper. Label each number line.
A
B
C
D
0
1
2
0
1
2
0
1
2
0
1
2
3. Number Line A
3
1
a. Label
and 2 on your patty paper.
2
2
b. Fold the patty paper to the right along the zero mark. Trace the number line onto the
opposite side of the patty paper.
3
1
c. Open the patty paper then locate and label − and −2 on Number Line A.
2
2
d. Use Number Line A to order the following from least to greatest:
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3
5
, –1, 2, − , 1,
2
2
3
− .
2
Supporting STAAR™ Achievement: Grade 8
Compare and Order Fractions and Decimals
4. Number Line B
5 1
4
9
, , 1 , and . Estimate placement where necessary.
8 4
5
6
b. Fold the patty paper to the right along the zero mark. Trace the number line onto the
opposite side of the patty paper.
5
9
4
1
c. Open the patty paper then locate and label − , − , −1 , and − on Number Line B.
8
6
5
4
a. Label
d. Use Number Line B to order the following from greatest to least: –1,
9
4
1 5
, , − , −1 , 2.
6
5
4 8
5. Number Line C
a. Label 0.8, 0.24, 1.4, and 0.01 on the number line. Estimate placement where necessary.
b. Fold the patty paper to the right along the zero mark. Trace the number line onto the
opposite side of the patty paper.
c. Open the patty paper then locate and label –0.8, –0.24, –1.4, and –0.01 on Number Line C.
d. Use Number Line C to compare the following using > or <:
–0.24 ____ –1.4
–0.01 ____ –0.24
–1 _____ –0.8
6. Number Line D
a. Find the following values from Number Lines A–C and label them on Number Line D.
b. Use Number Line D to order the following numbers from least to greatest:
−1
5
1
1
, 1.4, 0.01, , −
8
4
2
c. Use Number Line D to compare the following using > or <:
−
1
5
____ −1
2
8
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1
5
____ −
4
8
1.4 ____
1
4
Supporting STAAR™ Achievement: Grade 8
Name: _________________________________
Compare and Order Fractions and Decimals
Comparing and Ordering Numbers Notes Page
Two numbers that are the same distance from zero on a number line are called ______________.
–2
–1
0
1
2
Describe how to compare and order fractions using each of the following methods. Then use the
given method to solve the example problem.
Method
Example
Number Line
Order from least to greatest:
3 1 1
2
, − , , − , 2.
4 3 4
5
Reasonableness
Benchmark Fractions
Common Denominators
Calculator
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Compare −
3
3
and − .
4
5
Compare
4
2
and .
7
5
Compare
2
1
and .
5
8
Compare −
6
2
and − .
11
3
Supporting STAAR™ Achievement: Grade 8
Compare and Order Fractions and Decimals
Fraction Battle Set 2
1.
2.
3.
4.
Cut out the set of cards below. Add this set of cards to your original set of cards.
Place the cards face down in a pile between you and your partner.
Each player will select a card. Compare the two fractions. The player with the greater fraction
keeps both cards.
Repeat this process until all cards have been used. The player with the greatest number of pairs
is the winner.
*
3
−
8
*
1
−
3
3
−
5
4
−
5
*
*
0.08
1
−
2
–0.45
0.8
3
−
4
–0.25
0.16
–0.9
© Region 4 Education Service Center
All rights reserved.
1
−
4
2
−
5
Supporting STAAR™ Achievement: Grade 8
Compare and Order Fractions and Decimals
Communicating about Mathematics: Comparing Numbers
3
5
9
Explain how to order − , − , and −
from least to greatest
4
8
10
using words, numbers, symbols, and/or a number line.
© Region 4 Education Service Center
All rights reserved.
Supporting STAAR™ Achievement: Grade 8
Compare and Order Fractions and Decimals
Grid Paper*
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Supporting STAAR™ Achievement: Grade 8
Name: _________________________________
Compare and Order Fractions and Decimals
Evaluate: Compare and Order Fractions and Decimals
1. Which fraction is between −
A
−
1
2
B
−
2
5
C
−
3
4
D
−
3
8
2
and –1?
3
2. Which point or points on the number line are between 31
WX
31
A
Point W and Point X
B
Point X
C
Point Y
Y
31
1
2
7
5
and 31 ?
16
6
Z
32
D Point Y and Point Z
© Region 4 Education Service Center
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Supporting STAAR™ Achievement: Grade 8
Compare and Order Fractions and Decimals
3. Which statement is not true?
A
–0.01>–0.12
B
−
C
−1
5
3
> −
8
4
2
< –1
3
D –2.34 > –3.42
4. Which decimal is between −
A
–0.4
B
–0.62
C
–0.76
3
1
and − ?
4
2
D –0.95
© Region 4 Education Service Center
All rights reserved.
Supporting STAAR™ Achievement: Grade 8