1. No category

Lesson 9.1
Reteach
Name Problem Solving • Compare Fractions
3
2
​ ​ mile to the store.
Nick walked __
​ ​ mile to the gym. Then he walked __
4
4
Which distance is shorter?
Read the Problem
Solve the Problem
What do I need to find?
1
I need to find which distance
is shorter.
What information do I need
to use?
2
_
​ ​  
Nick walked 4 mile to the
3
_
​ ​ 
gym. Then he walked 4 mile to
the store.
How will I use the information?
I will use
fraction strips
1
4
1
4
1
4
1
4
1
4
1
4
1
4
1
4
Compare the lengths.
3
2
_
_
​ ​ 
​ ​ 
4
4
2
The length of the _
​ ​ model is less than the
4
length of the 3
​_ ​model.
4
So, the distance to the gym is shorter.
,
compare
and
the lengths of
the models to find which distance
is shorter.
1. Mariana
and Shawn each had
6 pages to read. Mariana read
1
2
__
​ ​ of
​ ​ of her pages. Shawn read __
3
3
his pages. Who read more pages?
Explain.
Reteach
© Houghton Mifflin Harcourt Publishing Company
3
ran __
​  ​of the race course. Lori
8
3
__
ran ​  ​ of the same race course. Who
6
ran farther? Explain.
2. Carlos
R71
Grade 3
Lesson 9.2
Reteach
Name Compare Fractions with the Same
Denominator
Pete’s Prize Pizzas makes a special pizza. Of the toppings,
3
1
_
​ ​ is ham. Does the pizza have
​  ​is peppers and _
4
4
more peppers or ham?
1
3
Compare _
​ ​ and _
​ ​. 
4
4
Step 1 The denominators of both fractions are the same, 4.
Use fraction circles divided into fourths to model the fractions.
_
​ ​. 
Step 2 Shade 1 part of the first circle to show 1
4
3
Shade 3 parts of the second circle to show _
​ ​. 
4
Step 3 Compare. 3 parts is more than 1 part.
3
​_ ​
4
. 1_​4​ 
So, the pizza has more ham.
Compare. Write ,, ., or 5.
1.
2.
2​  
​__
6
1
3. __
​ ​ 
3
2
__
​  ​
3
Reteach
© Houghton Mifflin Harcourt Publishing Company
1 
6
2 
4
__
​ ​ 
__
​ ​ 
5
4. __
​ ​ 
8
3
__
​ ​ 
8
1
__
4
5. ​  ​
R72
3
__
​ ​ 
4
2 
4
__
​ ​ 
4
6. __
​ ​ 
8
4
__
​ ​ 
8
Grade 3
Lesson 9.3
Reteach
Name Compare Fractions
with the Same Numerator
1
Ryan takes a survey of his class. _
​ ​ of the class has dogs,
8
and 1
​_ ​of the class has cats. Are there more dog owners or cat
3
owners in Ryan’s class?
Dog Owners
3
Step 1 Divide the first circle into 8 equal parts.
1
Shade _
​  ​of the circle to show dog owners.
8
Cat Owners
3
1​ 
​_
3
1
1
1
Compare the fractions. _
​  ​ 8
Step 2 Divide the second circle into
1
3 equal parts. Shade _
​  ​of the circle to
3
show cat owners.
1
3
Step 3 Compare the shaded parts of the circles.
Which shaded part is larger?
1
1​ 
_ ​is larger than _
​ ​.   1
​_
​1
​_ ​ 8
3
8
3
So, there are more cat owners than dog owners in Ryan’s class.
,
Compare. Write ,, ., or 5.
3
1. __
​ ​  
3​ 
​__
6
1
2. __
​ ​  
1​ 
​__
6
2
3. __
​ ​  
2​ 
​__
6
2
4. __
​ ​  
__​ 
​2
6
4
5. __
​ ​  
__​ 
​4
8
2
6. __
​ ​  
__​ 
​2
4
5
7. __
​ ​  
__​ 
​5
8
1
8. __
​ ​  
__​ 
​1
4
3
9. __
​ ​  
__​ 
​3
4
__
10. 1
​ ​  
1​ 
​__
3
__
11. 3
​ ​  
3​ 
​__
4
__
12. 2
​ ​  
2​ 
​__
6
4
3
6
3
Reteach
© Houghton Mifflin Harcourt Publishing Company
8
6
3
3
R73
4
8
6
8
Grade 3
Lesson 9.4
Reteach
Name Compare Fractions
2​ cup of flour. Mrs. Young’s recipe
Mrs. Brown’s recipe uses ​_
3
3
_
uses ​  ​cup of flour. Which recipe uses more flour?
4
2 ​and _
3
Compare ​_
​  ​.
3
4
• You can compare fractions using fraction strips.
Step 1 Model each fraction.
1
Step 2 Compare the lengths of the models.
The length of the 3
​_ ​model is greater
4
than the length of the 2
​_ ​model.
3
2
_
_ ​
​ ​ 
​3
3
4
1
3
1
3
1
4
.
1
4
1
3
1
4
1
4
So, Mrs. Young’s recipe uses more flour.
4
3
​ ​.  Which is greater?
Compare _
​ ​ and _
6
6
• The denominators are the same, so compare the numerators.
4
​ ​. 
3 , 4, so 3
​_ ​, _
6 6
3
​ ​  .
So, 4
​_ ​is greater than _
6
6
4
_
​ ​ 
6
.
3
_
​ ​ 
6
Compare. Write ,, ., or 5. Write the strategy you used.
2
__
8
1. ​  ​ __ ​
​3
8
7
__
8
__ ​
​5
6
3
4. __
​ ​  
__ ​
​5
6
2. ​  ​ 3
3. __
​ ​  
4
__ ​
​3
6
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© Houghton Mifflin Harcourt Publishing Company
6
R74
Grade 3
Lesson 9.5
Reteach
Name Compare and Order Fractions
You can use a number line to compare and order fractions.
5
2
7
Order _
​ ​  , _
​ ​  , and _
​ ​ from least to greatest.
8 8
8
Since you are comparing eighths, use a number line
divided into eighths.
5
Step 1 Draw a point on the number line to show _
​ ​. 
8
_
​ ​. 
Step 2 Repeat for 2
​_ ​and 7
8
8
0
8
1
8
2
8
3
8
0
4
8
5
8
6
8
7
8
8
8
1
1
2
Step 3 Fractions increase in size as you move right
on the number line. Write the fractions in order
from left to right.
5
7
​ ​  , _
​ ​. 
So, the order from least to greatest is 2
​_ ​ , _
8 8 8
Write the fractions in order from least to greatest.
4
__
6
1. ​ ​  ,
0
6
6
3
__
​ ​  , __
​ ​ 
2
__
3
2. ​ ​  ,
6 6
1
6
0
2
6
3
6
1
2
1
1
1 __
__
​  ​ , __
​ ​ 
3. ​  ​ ,
4 8 2
Reteach
© Houghton Mifflin Harcourt Publishing Company
4
6
5
6
6
6
2
2
__
​  ​ , __
​  ​
6 4
Think:
When the numerators are the
same, look at the denominators to
compare the size of the pieces.
1
0
2
3 __
__
​  ​ , __
​ ​ 
4. ​  ​ ,
4 4 4
R75
Grade 3
Lesson 9.6
Reteach
Name Model Equivalent Fractions
Equivalent fractions are two or more fractions that name
the same amount.
You can use fraction circles to model equivalent fractions.
1
1​ 5 __
​  ​ 
Find a fraction that is equivalent to _
​ ​.  ​_
2
2
4
Step 3 Count the number of parts shaded now.
There are 2 parts out of 4 parts shaded.
1
4
1
1
4
1
2
2
1
​ ​  So, 1
​_ ​is equivalent to _
​ ​. 
​_ ​5 _
2 4
2
4
1
2
4
1
2
Step 1 Look at the first circle. It is divided into
1
2 equal parts. Shade one part to show _
​ ​. 
2
Step 2 Draw a line to divide the circle into
4 equal parts because 4 is the denominator
in the second fraction.
4
Shade the model. Then divide the pieces to find the
equivalent fraction.
1.
2.
1
__
​  ​5
4
____
​   ​  
8
3.
1
__
​  ​5
____
3
__
​ ​ 5
____
2
​   ​  
8
4.
2
__
​ ​ 5
3
___
​   ​  
6
Reteach
© Houghton Mifflin Harcourt Publishing Company
4
R76
​   ​  
8
Grade 3
Lesson 9.7
Reteach
Name Equivalent Fractions
3
Kaitlyn used _
​ ​ of a sheet of wrapping paper.
4
3
_ ​5 ​__ ​ 
Find a fraction that is equivalent to _
​ ​.  
​3
8
4
4
Step 1 The top fraction strip is divided into 4 equal parts.
3
Shade _
​  ​of the strip to show how much paper
4
Kaitlyn used.
Step 2 The bottom strip is divided into 8 equal parts.
Shade parts of the strip until the same amount
is shaded as in the top strip.
6 parts of the bottom strip are shaded.
6
3​ 5 _
​ ​  
​_
4 8
3
​ ​. 
So, 6
​_ ​is equivalent to _
8
4
1
4
1
8
1
4
1
8
1
8
1
4
1
4
MXEFL11AWK3X_EN_C8_L
1
8
1
8
1
8
1
8
1
8
MXEFL11AWK3X_EN_C8_L
Each shape is 1 whole. Shade the model to
find the equivalent fraction.
1.
2.
__
​ ​ 5
1
3.
3
1
__
​  ​5
___
​  ​   
6
4
4
__
​  ​5
2
Reteach
© Houghton Mifflin Harcourt Publishing Company
___
​  ​   
8
____
​  ​  
8
R77
Grade 3