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```Reteach Book
PROVIDES
Tier 1 Intervention for Every Lesson
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Contents
CRITICAL AREA 1: Operations and Algebraic Thinking
1.1
Algebra • Use Pictures to Add To ..................................................................R1
1.2
1.3
Model Putting Together ................................................................................R3
1.4
Problem Solving • Model Addition ...............................................................R4
1.5
1.6
Algebra • Add in Any Order .........................................................................R6
1.7
Algebra • Put Together Numbers to 10 ..........................................................R7
1.8
Chapter 2: Subtraction Concepts
2.1
Use Pictures to Show Taking From .................................................................R9
2.2
Model Taking From ....................................................................................R10
2.3
Model Taking Apart ...................................................................................R11
2.4
Problem Solving • Model Subtraction .........................................................R12
2.5
Use Pictures and Subtraction to Compare .....................................................R13
2.6
Subtract to Compare .................................................................................R14
2.7
Subtract All or Zero ...................................................................................R15
2.8
Algebra • Take Apart Numbers ...................................................................R16
2.9
Subtraction from 10 or Less ........................................................................R17
3.1
Algebra • Add in Any Order .......................................................................R18
3.2
Count On .................................................................................................R19
3.3
3.4
3.5
Doubles Plus 1 and Doubles Minus 1 ............................................................R22
3.6
Practice the Strategies ...............................................................................R23
3.7
3.8
3.9
Use Make a 10 to Add ...............................................................................R26
3.10 Algebra • Add 3 Numbers..........................................................................R27
3.11 Algebra • Add 3 Numbers..........................................................................R28
3.12 Problem Solving • Use Addition Strategies ..................................................R29
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iii
Chapter 4: Subtraction Strategies
4.1
Count Back ..............................................................................................R30
4.2
4.3
4.4
Use 10 to Subtract ....................................................................................R33
4.5
Break Apart to Subtract..............................................................................R34
4.6
Problem Solving • Use Subtraction Strategies..............................................R35
Chapter 5: Addition and Subtraction Relationships
5.1
Problem Solving • Add or Subtract ............................................................R36
5.2
Record Related Facts ................................................................................R37
5.3
Identify Related Facts ................................................................................R38
5.4
Use Addition to Check Subtraction ...............................................................R39
5.5
Algebra • Unknown Numbers .....................................................................R40
5.6
Algebra • Use Related Facts ......................................................................R41
5.7
Choose an Operation .................................................................................R42
5.8
Algebra • Ways to Make Numbers to 20 ......................................................R43
5.9
Algebra • Equal and Not Equal ...................................................................R44
5.10 Facts Practice to 20 ..................................................................................R45
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iv
CRITICAL AREA 2: Number and Operations in Base Ten
Chapter 6: Count and Model Numbers
6.1
Count by Ones to 120 ...............................................................................R46
6.2
Count by Tens to 120 ................................................................................R47
6.3
Understand Ten and Ones ..........................................................................R48
6.4
Make Ten and Ones...................................................................................R49
6.5
Tens .......................................................................................................R50
6.6
Tens and Ones to 50 .................................................................................R51
6.7
Tens and Ones to 100 ...............................................................................R52
6.8
Problem Solving • Show Numbers in Different Ways .....................................R53
6.9
Model, Read, and Write Numbers from 100 to 110.........................................R54
6.10 Model, Read, and Write Numbers from 110 to 120.........................................R55
Chapter 7: Compare Numbers
7.1
Algebra • Greater Than .............................................................................R56
7.2
Algebra • Less Than .................................................................................R57
7.3
Algebra • Use Symbols to Compare ............................................................R58
7.4
Problem Solving • Compare Numbers ........................................................R59
7.5
10 More, 10 Less......................................................................................R60
Chapter 8: Two-Digit Addition and Subtraction
8.1
Add and Subtract Within 20 ........................................................................R61
8.2
8.3
Subtract Tens ...........................................................................................R63
8.4
Use a Hundred Chart to Add .......................................................................R64
8.5
8.6
8.7
Use Place Value to Add ..............................................................................R67
8.8
Problem Solving • Addition Word Problems .................................................R68
8.9
8.10 Practice Addition and Subtraction ................................................................R70
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v
CRITICAL AREA 3: Measurement and Data
Chapter 9: Measurement
9.1
Order Length ............................................................................................R71
9.2
Indirect Measurement ................................................................................R72
9.3
Use Nonstandard Units to Measure Length ....................................................R73
9.4
Make a Nonstandard Measuring Tool ............................................................R74
9.5
Problem Solving • Measure and Compare ...................................................R75
9.6
Time to the Hour .......................................................................................R76
9.7
Time to the Half Hour .................................................................................R77
9.8
Tell Time to the Hour and Half Hour ..............................................................R78
9.9
Practice Time to the Hour and Half Hour .......................................................R79
Chapter 10: Represent Data
10.2 Make Picture Graphs .................................................................................R81
10.4 Make Bar Graphs ......................................................................................R83
10.6 Make Tally Charts......................................................................................R85
10.7 Problem Solving • Represent Data.............................................................R86
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vi
CRITICAL AREA 4: Geometry
Chapter 11: Three-Dimensional Geometry
11.1 Three-Dimensional Shapes .........................................................................R87
11.2 Combine Three-Dimensional Shapes ............................................................R88
11.3 Make New Three-Dimensional Shapes ..........................................................R89
11.4 Problem Solving • Take Apart Three-Dimensional Shapes ..............................R90
11.5 Two-Dimensional Shapes on Three-Dimensional Shapes ..................................R91
Chapter 12: Two-Dimensional Geometry
12.1 Sort Two-Dimensional Shapes .....................................................................R92
12.2 Describe Two-Dimensional Shapes...............................................................R93
12.3 Combine Two-Dimensional Shapes ..............................................................R94
12.4 Combine More Shapes...............................................................................R95
12.5 Problem Solving • Make New Two-Dimensional Shapes.................................R96
12.6 Find Shapes in Shapes ...............................................................................R97
12.7 Take Apart Two-Dimensional Shapes ............................................................R98
12.8 Equal or Unequal Parts...............................................................................R99
12.9 Halves ...................................................................................................R100
12.10 Fourths ................................................................................................. R101
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vii
End-of-Year Resources
Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19
Lesson 20
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Algebra • Ways to Expand Numbers. .
Identify Place Value . . . . . . . . . .
Use Place Value to Compare Numbers
Algebra • Addition Function Tables. . .
Algebra • Subtraction Function Tables .
Algebra • Follow the Rule . . . . . . .
Add 3 Numbers . . . . . . . . . . . . .
Add a One-Digit Number to a
Two-Digit Number . . . . . . . . . . . .
Add Two-Digit Numbers . . . . . . . . .
Repeated Addition . . . . . . . . . . .
Solve Problems . . . . . . . . . . . . .
Choose a Non-Standard
Unit to Measure Length . . . . . . . . .
Use a Non-Standard Ruler . . . . . . .
Compare Lengths . . . . . . . . . . . .
Time to the Hour and Half Hour . . . .
Use a Picture Graph. . . . . . . . . . .
Use a Bar Graph . . . . . . . . . . . .
Take a Survey . . . . . . . . . . . . . .
Identify Shapes . . . . . . . . . . . . .
Equal Shares . . . . . . . . . . . . . .
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Lesson 1.1
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Name
Algebra • Use Pictures to
3 cows
and
2 more cows
5 cows.
—
Draw circles around the animals added to the
group. Write how many.
1.
3 cats
and
4 more cats
—
cats
2 bees
and
2 more bees
—
bees
5 dogs
and
1 more dog
—
dogs
2.
3.
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© Houghton Mifflin Harcourt Publishing Company
R1
Lesson 1.2
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Name
1 frog
and
1
+
2 more frogs
Use
to show adding to. Draw the
Write the sum.
1. 3 horses and 4 more horses
+
3
3
=—
2
.
=
—
1
=
—
1
=
—
4
2. 1 bee and 1 more bee
+
1
3. 4 cows and 1 more cow
4
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© Houghton Mifflin Harcourt Publishing Company
+
R2
Lesson 1.3
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Name
Model Putting Together
Use
Put the groups together to
find how many.
There are 3 brown dogs.
There is 1 white dog.
3+1=4
How many dogs are there?
4
—
dogs
to solve. Draw to show your work.
Use
Write how many.
1. There are 4 black bears and
3 brown bears. How many
bears are there?
—
4+3=—
bears
2. There are 6 red flowers and
2 white flowers. How many
flowers are there?
—
6+2=—
flowers
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© Houghton Mifflin Harcourt Publishing Company
R3
Lesson 1.4
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Name
Problem Solving • Model
Rico has 3
How many
. Then he gets 1 more
does he have now?
.
Unlock the Problem
What do I need to find?
the number of
Rico has now.
What information do
I need to use?
crayons
3
1
He gets —
.
Rico has —
.
Show how to solve the problem.
3
3+1=
1
4
Read the problem. Use the bar model to solve.
Complete the model and the number sentence.
1. There are 5 birds flying.
Then 3 more birds join them.
How many birds are flying now?
5
3
5+3=
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R4
Lesson 1.5
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Name
Use
to show each number.
3
3+0=—
2
0+2=—
When you add zero to a number,
the sum is that number.
to show each number.
Use
Draw the . Write the sum.
1.
2.
0+4=
—
3.
6+0=
—
0+5=
—
4.
0+1=
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© Houghton Mifflin Harcourt Publishing Company
—
R5
Lesson 1.6
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Name
Algebra • Add in Any Order
Change the order of the addends.
The sum is still the same.
3 +—
5 =—
8
sum
8
5+3=—
sum
Use
the sum.
Turn the cube
train around.
—
Change the order of the
1.
1+5=—
—
+—=—
3+1=—
—
+—=—
2.
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R6
Lesson 1.7
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Name
Algebra • Put Together
Numbers to 10
You can use
to model ways to make 7.
1 =7
6+—
2 =7
5+—
Use . Draw to show how to make 7.
1.
4 +— = 7
2.
3 +— = 7
3.
2 +— = 7
4.
1 +— = 7
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R7
Lesson 1.8
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Name
You can use
4
+ 2
6
+ 3
6
Use
. Write the sum.
1.
1
+ 2
2.
4
+ 1
3.
3
+ 5
4.
2
+ 3
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R8
Lesson 2.1
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Name
Use Pictures to Show
Taking From
Use the picture.
5 rabbits
3 hop away.
2
— rabbits now
Write how many there are now.
1.
8 birds
4 fly away.
— birds now
7 bees
2 fly away.
— bees now
2.
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© Houghton Mifflin Harcourt Publishing Company
R9
Lesson 2.2
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Name
Model Taking From
Circle the part you take from the group.
Then cross it out.
3 dogs
2 dogs run away.
3-2
1
—
dog now
1
=—
Circle the part you take from the group.
Then cross it out. Write the difference.
1. 4 goats
2 goats walk away.
— goats now
4 - 2 =—
2. 6 ants
3 ants walk away.
— ants now
6 - 3 =—
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R10
Lesson 2.3
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Name
Model Taking Apart
You can use
to subtract.
Sam has 6 cars. 4 cars are red.
The rest are yellow.
How many cars are yellow?
2
cars are yellow.
6
2
4
5
2
to solve. Color. Write the number sentence
Use
and how many.
1. There are 5 books.
1 book is red. The
rest are yellow. How
many books are yellow?
yellow books
2. There are 6 blocks.
3 blocks are small.
The rest are big.
How many blocks
are big?
big blocks
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R11
Lesson 2.4
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Name
Problem Solving •
Model Subtraction
There were 9 bugs on a rock. 7 bugs ran away.
How many bugs are on the rock now?
What do I need to find?
bugs
how many
What information do
I need to use?
9 bugs on a rock
7 bugs ran away
on the rock now
Show how to solve the problem.
7
9-7=
2
2
9
Read the problem. Use the model to solve.
Complete the model and the number sentence.
1. There are 5 birds. 1 bird is
big. The rest are small.
How many birds are small?
1
5
5-1=
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R12
Lesson 2.5
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Name
Use Pictures and
Subtraction to Compare
You can subtract to compare groups.
There is 1 more
than there are .
1
7-6=—
There is 1 fewer
than there are .
Subtract to compare.
1.
2.
5 - 3 =—
—
6 - 4 =—
more
3.
—
fewer
4.
4 - 1 =—
—
7 - 3 =—
more
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© Houghton Mifflin Harcourt Publishing Company
—
R13
fewer
Lesson 2.6
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Name
Subtract to Compare
You can use
to show the bar model.
8
6
Andy has 8 balloons.
Jill has 6 balloons.
How many more balloons
does Andy have than Jill?
8
6
2
8
more balloons
-
6
=
2
Read the problem. Use the bar model to
solve. Write the number sentence. Then
write how many.
1. Bo has 6 rocks.
Jen has 4 rocks.
How many more rocks
does Bo have than Jen?
6
4
6
4
—
-
more rocks
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R14
=
Lesson 2.7
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Name
Subtract All or Zero
When you subtract zero from
a number, the difference is
the number.
When you subtract a number
from itself, the difference
is zero.
No
All
are crossed out.
0
4-4=—
4
4-0=—
Use
are crossed out.
. Write the difference.
1.
2.
0
3-3=—
3.
5-0=—
4.
2-0=—
5.
1-1=—
6.
6-0=—
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© Houghton Mifflin Harcourt Publishing Company
4-4=—
R15
Lesson 2.8
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Name
Algebra • Take Apart
Numbers
You can use
to take apart 6.
Circle the part you take away.
Then cross it out.
1
6-5= —
2
6-4= —
Use
to take apart 6. Circle the part you
take away. Then cross it out. Complete
the subtraction sentence.
1.
6-3=—
2.
6-2=—
3.
6-1=—
4.
6-0=—
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R16
Lesson 2.9
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Name
Subtraction from 10 or Less
You can use
subtract.
6
3
3
_
-1
_
3
B
2
B
Write the subtraction problem.
2.
1.
7
-4
_
5
-3
_
B
3.
B
4.
8
-1
_
4
-2
_
B
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© Houghton Mifflin Harcourt Publishing Company
B
R17
Lesson 3.1
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Name
Any Order
You can change the order of the addends.
The sum is the same.
2
B
+
5
B
_
7
B
5
+
2
_
7
B
1.
3
+
1
_
B
3.
8
+
3
_
B
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© Houghton Mifflin Harcourt Publishing Company
B
+B
_
B
2.
B
+B
_
B
4.
4
+
2
_
B
9
+
5
_
B
R18
B
+B
_
B
B
+B
_
B
Lesson 3.2
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Name
Count On
You can count on to find 4 + 3.
Then count on. Write the sum.
5
4
—
7
4 + 3 =—
6
—
count on 3.
7
—
Circle the greater addend. Count on 1, 2, or
3. Write the missing numbers.
1.
1+6
6
2.
9
—
1+6=—
3.
4+2
4
4.
3+8
8
— — —
3 + 8 =—
4 + 2 =—
© Houghton Mifflin Harcourt Publishing Company
—
9 + 1 =—
— —
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9+1
R19
Lesson 3.3
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Name
The addends are the same in a doubles fact.
3
—
3
+
— = 6
Count the
.
Write the missing numbers.
1.
2.
—
+—= 8
3.
—
+ — = 10
—
+— = 2
4.
—
+—=4
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R20
Lesson 3.4
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Name
Use a doubles fact to solve 4 + 3.
Break apart 4 into 1 + 3.
1
+
1
+
So, 4
+
3
7.
+ 3 =—
THINK
3 + 3 = 6.
1 more than 6 is 7.
3
= 7
6
Use
to model. Break apart
to make a doubles fact. Add.
1.
6+5
1
—
+
+
So, 6 + 5 = —.
2. 8 + 7
—
—
—
So, 8
+
+
—
—
—
=
—
+
—
+
—
—
=
—
+ 7 = —.
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R21
Lesson 3.5
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Name
Doubles Plus 1 and
Doubles Minus 1
You can use doubles plus one facts and
Use doubles fact 3 + 3 = 6.
doubles plus one
3 + 4 =
doubles minus one
7
3 + 2 =
—
5
—
Use doubles plus one or
1.
5 + 6 =
—
5 + 4 =
—
2 + 3 =
—
2 + 1 =
—
2.
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R22
Lesson 3.6
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Name
Practice the Strategies
You can use different addition strategies to find sums.
Count On
6
7
—
Doubles
8
—
6
3+3=—
8
6+2=—
Doubles Plus 1
Doubles Minus 1
11
5+6=—
1. Count on 1.
7+1=—
4. Use doubles.
9
5+4=—
2. Count on 2.
3. Count on 3.
7+2=—
7+3=—
5. Use doubles
6. Use doubles
plus 1.
6+6=—
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© Houghton Mifflin Harcourt Publishing Company
6+7=—
R23
minus 1.
6+5=—
Lesson 3.7
Reteach
Name
You can use counters and a ten frame to add
a number to 10.
Find 10 + 4.
10
+
4
_
10
14
4
Draw . Show the number that is added to
10. Write the sum.
1.
10
+
3
_
10
3
2.
10
10
+
7
_
7
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© Houghton Mifflin Harcourt Publishing Company
R24
Lesson 3.8
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Name
Show 8 + 5 with counters and a ten frame.
Use
.
10
+
3
_
8
5
13
So, 8
13 .
+ 5 =—
Draw
1.
8+6
8
10
+
4
_
6
So, 8 + 6 = —.
2.
9+7
9
10
+
6
_
7
So, 9 + 7 = —.
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© Houghton Mifflin Harcourt Publishing Company
R25
Lesson 3.9
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Name
Use Make a 10 to Add
What is 9 + 5? Make a 10 to add.
Make a 10.
Use
and a ten frame.
9
10
5
4
So, 9
Show the greater
the ten frame.
Draw
14 .
+ 5 =—
. Make a ten to add.
1. 8 + 5
8
10
5
3
10
+
3
_
So, 8
+ 5 = —.
2. 7 + 4
7
10
4
1
10
+
1
_
So, 7
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© Houghton Mifflin Harcourt Publishing Company
R26
+ 4 = —.
Lesson 3.10
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Name
You can add numbers in any order.
3+4+ 1=8
3
+
4 + 1=8
7
+ 1=8
3+ 4
+
3+
5
1
=
8
=
8
Use circles to change which two addends you
1.
2 + 1 + 8 =11
—
2.
+ 8 =11
7 + 2 + 3 =12
—
Reteach
© Houghton Mifflin Harcourt Publishing Company
+ 3 =12
R27
2+ 1 + 8
= 11
2+
= 11
—
7+ 2 + 3
= 12
7+
= 12
—
Lesson 3.11
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Name
4
4
+
6
_
4
4
+
6
_
14
14
4 + 6 make a 10.
4 + 4 = 8 is
a doubles fact.
10
14
B+ 4 =B
8 + 6 =14
B
B
Choose a strategy. Circle two addends
to add first. Write the sum.
Then find the total sum.
1.
7
3
+
3
_
4
3
+
3
_
10
B
2.
2
2
+
8
_
B
B
4.
5
5
+4
_
B
13
3.
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© Houghton Mifflin Harcourt Publishing Company
R28
Lesson 3.12
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Name
Problem Solving •
Tory has 9 toys. Bob has 4 toys.
Joy has 2 toys. How many toys
do they have?
Unlock the Problem
What do I need to find?
how many
they have
What information do
I need to use?
9
4 toys.
Bob has —
2 toys.
Joy has —
toys
Tory has — toys.
Show how to solve the problem.
—
+ — + — = —
— toys
Draw a picture to solve.
1. Rick has 7 books.
He gets 2 more books.
He then gets 2 more books.
How many books does
Rick have now?
Reteach
© Houghton Mifflin Harcourt Publishing Company
R29
— books
Lesson 4.1
Reteach
Name
Count Back
Count back to subtract.
. Count back 3.
Use 9
This shows counting back 3 from 9.
6 7 8
6
9
9235_
Use
. Count back 1, 2, or 3.
Write the difference.
1.
5215
—
2.
5
7225
——
3.
7
6235
— — —
Reteach
© Houghton Mifflin Harcourt Publishing Company
R30
6
Lesson 4.2
Reteach
Name
to Subtract
What is 7 2 4?
Think
3 =7
4+—
So
3
7-4=—
Use
Draw
to model the number sentences.
1. What is 11 2 2?
Think
So
2 + — = 11
11 - 2 =
—
2. What is 10 2 6?
Think
6 + — = 10
So
10 - 6 = —
3. What is 6 2 1?
Think
1+—=6
So
6-1=—
Reteach
© Houghton Mifflin Harcourt Publishing Company
R31
Lesson 4.3
Reteach
Name
to Subtract
subtract.
Think
? 6+—
5 = 11 11- 6 = —
5
11 - 6 = —
2. What is 10 2 6?
1. What is 9 2 4?
Use
4 +— =9
Use
6 + — = 10
So
9-4=—
So
10 - 6 = —
3. What is 12 2 5?
4. What is 8 2 5?
Use
5 + — = 12
Use
5 + — =8
So
12 - 5 = —
So
8
Reteach
© Houghton Mifflin Harcourt Publishing Company
R32
-
5=—
Lesson 4.4
Reteach
Name
Use 10 to Subtract
Find 14 – 9.
Make a 10.
5
5
So, 14 2 9 5 —.
Use . Make a ten to subtract.
1.
?
12 2 8 5 —
2.
12 2 8 5
Reteach
© Houghton Mifflin Harcourt Publishing Company
?
15 2 9 5 —
15 2 9 5
R33
Lesson 4.5
Reteach
Name
Break Apart to Subtract
What is 14 2 5?
4 from 14.
Take —
14 4 10
—2—5—
Step 1
1
10 1
9
—2—5—
Step 2
Then take — more.
9
So, 142 5 5 —
Subtract.
1. What is 17 2 9?
Step 1
Take 7 counters from 17.
17
275—
Then take — counters from 10.
—
Step 2
2 — 5—
So, 17 2 9 5 —
Reteach
© Houghton Mifflin Harcourt Publishing Company
R34
Lesson 4.6
Reteach
Name
Problem Solving • Use
Subtraction Strategies
Lara has 15 crackers. She gives
some of them away. She has 8 left.
How many crackers does she give away?
Unlock the Problem
What do I need to find?
how many
What information do
I need to use?
15
8 crackers left.
Lara has —
crackers
Lara has — crackers.
Lara gives away
Show how to solve the problem.
7
Lara gives away — crackers.
Act it out to solve. Draw to show your work.
1. Min has 13 marbles.
She gives some away.
She has 5 left.
How many marbles does
she give away?
Min gives away — marbles.
Reteach
© Houghton Mifflin Harcourt Publishing Company
R35
Lesson 5.1
Reteach
Name
1SPCMFN4PMWJOH "EEPS
Subtract
There are 12 skunks in the woods.
Some skunks walk away.
There are 8 skunks still in the woods.
How many skunks walk away?
Unlock the Problem
8IBUEP*OFFEUP¾OE
how many
walk away
skunks
8IBUJOGPSNBUJPOEP
*OFFEUPVTF
12
8
— skunks still in the woods
— skunks in the woods
4IPXIPXUPTPMWFUIFQSPCMFN
8 skunks still in the woods
8
4
12
— walk away
.BLFBNPEFMUPTPMWF
6TF
UPIFMQZPV
There are 15 frogs on a log.
Some frogs hop away.
There are 7 frogs still on the log.
How many frogs hop away?
7
15
— frogs hop away
Reteach
© Houghton Mifflin Harcourt Publishing Company
R36
Lesson 5.2
Reteach
Name
Record Related Facts
Use the numbers to
write four related facts.
6 4 10
6 + 4 = 10
10 - 4 = 6
4 + 6 = 10
10 - 6 = 4
THINK
Each number is
in all four facts.
Use the numbers to make related facts.
1.
6 + 8 = 14
6 8 14
= 14
8+
B
2.
2 7 9
3.
B+7=9
7+2=9
B
= 11
5+
5 6 11
6 + 5 = 11
4.
3 9 12
3 + 9 = 12
+ 3 = 12
B
Reteach
© Houghton Mifflin Harcourt Publishing Company
R37
B-8=6
14 - 6 = B
9-B=2
B-2=7
B-6=5
11 - B = 6
B-9=3
12 - B = 9
Lesson 5.3
Reteach
Name
Identify Related Facts
If you know an addition fact, you will
also know the related subtraction fact.
Both facts use
2, 4, and 6.
They are related
facts.
+ 4C
= 6
C
2
—
—
—
- 4C
= 2
6C
—
—
—
Add and subtract the related facts.
1.
7+8=—
15 - 8 = —
2.
7+4=—
11 - 4 = —
3.
1+8=—
9-8=—
Reteach
© Houghton Mifflin Harcourt Publishing Company
R38
Lesson 5.4
Reteach
Name
Subtraction
check subtraction.
Take apart to subtract.
THINK
Put the 5 and
3 back together.
You end with 8.
5
B
8
3
_
+
3
_
5
B
8
B
Use
B
7
3
_
B
Reteach
© Houghton Mifflin Harcourt Publishing Company
+
3
_
B
R39
Lesson 5.5
Reteach
Name
Algebra • Unknown Numbers
Add or subtract to find the unknown numbers.
B
6 + 5 = 11
THINK
cubes until there are 11.
The missing number is 5.
A related fact is 11 - 6 = 5.
B
11 - 6 = 5
Use
to find the unknown numbers.
Write the numbers.
1.
2.
B = 13
13 - 4 = B
B = 15
15 - 7 = B
4+
3.
7+
4.
B = 14
14 - 8 = B
9 + B = 18
18 - 9 = B
8+
5.
Reteach
© Houghton Mifflin Harcourt Publishing Company
B = 16
16 - 9 = B
8 + B= 16
16 - 8 = B
9+
6.
R40
Lesson 5.6
Reteach
Name
Algebra • Use Related
Facts
Find 11 – 6.
THINK
to make 11?
5 = 11
6+—
5
11 - 6 = —
11
5
6
Use counters. Write the missing numbers.
1. Find 13 - 8.
2. Find 12 - 3.
8 + — = 13
3+
13 - 8 = —
—
12 - 3 = —
13
12
8
Reteach
© Houghton Mifflin Harcourt Publishing Company
= 12
3
R41
Lesson 5.7
Reteach
Name
Choose an Operation
Liz has 15 stuffed animals.
She gives away 6. How many
stuffed animals are left?
THINK
Liz gives some away.
So, I subtract.
Circle subtract.
9
subtract
15 - 6 = 9
stuffed animals
Write a number sentence to solve.
1. Misha has 11 crackers.
He eats 2 crackers.
How many crackers
are left?
subtract
=
crackers
2. Lynn has 5 shells.
Dan has 7 shells.
How many shells do
Lynn and Dan have?
=
shells
Reteach
© Houghton Mifflin Harcourt Publishing Company
subtract
R42
Lesson 5.8
Reteach
Name
Algebra • Ways to Make
Numbers to 20
These are some ways to make the number 14.
4 + 4 + 6 = 14
7 + 7 = 14
14 - 0 = 14
Use
to show each way.
Cross out the way that does not make the number.
1.
7
8-1
3+4
2+3+1
15
7+6
15 - 0
8+7
4+4+5
9-4
6+7
9
8+2
3+3+3
10 - 1
18
9+9
9-9
18 - 0
2.
3.
13
4.
5.
Reteach
© Houghton Mifflin Harcourt Publishing Company
R43
Lesson 5.9
Reteach
Name
Algebra • Equal and
Not Equal
An equal sign means both sides are the same.
3+3=6-0
3+2=5-2
THINK
3 + 3 = 6 and 6 - 0 = 6.
Is 6 the same as 6?
THINK
3 + 2 = 5 and 5 - 2 = 3.
Is 5 the same as 3?
—
It is true.
—
It is false.
yes
no
1.
7–5=5–2
2.
8–8=6–6
3.
4+3=5+2
2+8=8+2
4.
7+3=4+5
Reteach
© Houghton Mifflin Harcourt Publishing Company
1 + 8 = 18
9–2=9+2
9 = 10 – 1
R44
Lesson 5.10
Reteach
Name
Facts Practice to 20
Mr. Chi has 12 books.
He sells 3 books.
How many books are left?
What is 12 – 3?
THINK
I can use a related fact.
THINK
I can count back.
Start at 12.
9.
Count 11, 10, —
3 + 9 = 12
9
12 - 3 = —
9.
So, 12 - 3 = —
1.
14 - 5 = —
2.
9+2=—
3.
6+4=—
4.
12 - 6 = —
5.
8-3=—
6.
7+5=—
7.
9+6=—
8.
13 - 9 = — 9. 8 + 8 = —
Reteach
© Houghton Mifflin Harcourt Publishing Company
R45
Lesson 6.1
Reteach
Name
Count by Ones to 120
1
2
3
4
5
6
7
8
9 10
11 12 13 14 15 16 17 18 19 20
Count forward.
Write the numbers.
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
I find 108 on the chart.
109 comes next.
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
101102 103104105106107108 109110
111112 113114115116117118 119120
108, 109 , 110 , 111
Use a Counting Chart. Count forward.
Write the numbers.
112,
2. 25,
3. 95,
4. 50,
1.
,
,
,
,
Reteach
© Houghton Mifflin Harcourt Publishing Company
,
,
,
,
R46
Lesson 6.2
Reteach
Name
Count by Tens to 120
Use the Counting Chart.
Count forward by tens.
Start on 4.
1
2
3
4
5
6
7
8
9
10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
14, 24, 34, 44, 54,
41 42 43 44 45 46 47 48 49 50
64, 74, 84 , 94 ,
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
104, 114
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
101 102 103 104 105 106 107 108 109 110
111 112 113 114 115 116 117 118 119 120
Use the Counting Chart to count by tens.
Write the numbers.
1. Start on 5.
15, 25, 35, 45,
,
,
,
,
2. Start on 38.
48, 58, 68,
,
,
,
,
,
3. Start on 26.
36, 46,
Reteach
© Houghton Mifflin Harcourt Publishing Company
,
,
,
R47
,
,
Lesson 6.3
Reteach
Name
Understand Ten and Ones
You can use
to show ten and some ones.
You can write ten and ones in different ways.
1
2
10
2
—+—
12
—
— ten — ones
Use the model. Write the number
three different ways.
— ten — ones
1.
—+—
—
— ten — ones
2.
—+—
—
— ten — ones
3.
—+—
—
Reteach
© Houghton Mifflin Harcourt Publishing Company
R48
Lesson 6.4
Reteach
Name
Make Ten and Ones
You can make 1 ten with 10
.
12
twelve
1
12
2
— ones = — ten — ones
1
—
2
ten — ones
Write how many tens and ones.
1.
2.
15
fourteen
fifteen
1
5
— ten — ones
3.
— ten — ones
4.
16
— ten — ones
© Houghton Mifflin Harcourt Publishing Company
13
thirteen
sixteen
Reteach
14
— ten — ones
R49
Lesson 6.5
Reteach
Name
Tens
You can put ones together
to make tens.
Draw to show the 2 tens.
2
20 ones = 2 tens
20
— tens = —
Use . Make groups of ten. Draw the tens.
Write how many tens. Write the number.
1.
30 ones = 3 tens
—
tens = —
40 ones = 4 tens
—
tens = —
50 ones = 5 tens
—
tens = —
2.
3.
Reteach
© Houghton Mifflin Harcourt Publishing Company
R50
Lesson 6.6
Reteach
Name
Tens and Ones to 50
You can use tens and ones
to show a number.
Tens
Ones
4 tens
2 ones =
There are 4 tens.
There are 2 ones.
This shows 42.
42
—
to
show the tens and ones. Write the numbers.
1.
2.
1 ten 8 ones =
18
—
3.
2 tens 5 ones =
—
3 tens 6 ones =
—
4.
4 tens 7 ones =
Reteach
© Houghton Mifflin Harcourt Publishing Company
—
R51
Lesson 6.7
Reteach
Name
Tens and Ones to 100
If you know the tens and ones,
you can write the number.
Tens
Ones
There are 9 tens.
There are 8 ones.
The number is 98.
9 tens
98
8 ones = —
to show
the tens and ones. Write the numbers.
1.
2.
59
5 tens 9 ones = —
6 tens 3 ones = —
3.
4.
7 tens 7 ones = —
Reteach
© Houghton Mifflin Harcourt Publishing Company
8 tens 2 ones = —
R52
Lesson 6.8
Reteach
Name
Problem Solving • Show
Numbers in Different Ways
How can you show the number 34 two different ways?
Unlock the Problem
What do I need to find?
What information do
I need to use?
to show a number
The number is —.
two different ways
34
Show how to solve the problem.
First Way
Tens
THINK
You can
10 ones.
Second Way
Ones
Tens
Ones
1. Use
to show 26 two
different ways. Draw both ways.
Tens
Reteach
© Houghton Mifflin Harcourt Publishing Company
Tens
Ones
R53
Ones
Lesson 6.9
Reteach
Name
Numbers from 100 to 110
What is 10 tens and 2 more?
Count by tens.
Then count by
ones.
100, 101, 102
10 tens and 2 more = 102
10, 20, 30, 40, 50, 60, 70, 80, 90,
Use
to model the number.
Write the number.
1. 10 tens and 3 more
2. 10 tens and 7 more
—
—
3. 10 tens and 6 more
4. 10 tens and 9 more
—
—
Reteach
© Houghton Mifflin Harcourt Publishing Company
R54
Lesson 6.10
Reteach
Name
Numbers from 110 to 120
What is the number?
Count by tens.
Then count by ones.
10 20 30 40 50 60 70 80 90 100 110 111 112 113
113
The number is —.
Use
to model the number.
Write the number.
1.
2.
—
—
3.
4.
—
Reteach
© Houghton Mifflin Harcourt Publishing Company
—
R55
Lesson 7.1
Reteach
Name
Algebra • Greater Than
You can compare numbers to
find which is greater.
48
65
24
62
48
65
24
— is greater than —.
62
— is greater than —.
65 > —
62
48 > —
24
—
—
Draw lines to match.
Write the numbers to compare.
1.
2.
43
51
55
34
— is greater than —.
— is greater than —.
— >—
—>—
Reteach
© Houghton Mifflin Harcourt Publishing Company
R56
Lesson 7.2
Reteach
Name
Algebra • Less Than
You can compare numbers to
find which is less.
23
65
26
43
23
26
23 26
—<—
43
65
43 65
—<—
— is less than —.
— is less than —.
Draw lines to match.
Write the numbers to compare.
1.
2.
37
74
31
44
— is less than —.
— is less than —.
—<—
—<—
Reteach
© Houghton Mifflin Harcourt Publishing Company
R57
Lesson 7.3
Reteach
Name
Algebra • Use Symbols
to Compare
You can use symbols to compare numbers.
C
15 <
18
18
=
C
18
23
>
C
18
This symbol
means
This symbol
means
This symbol
means
is less than.
is equal to.
is greater than.
Write >, <, or =. Complete the sentence.
1.
2.
< 57
C
is less than
51
51 ——— 57.
29
C
48
C
29
3.
29
29.
4.
35
C
35
Reteach
© Houghton Mifflin Harcourt Publishing Company
33
33.
R58
48
55
55.
Lesson 7.4
Reteach
Name
Problem Solving • Compare
Numbers
Anthony has the number cards
5
7
shown. He gives away the cards
with numbers less than 6 and greater
than 9. Which cards does Anthony have now?
8
10
11
Unlock the Problem
What do I need to
find?
What information do
I need to use?
the ————
that Anthony has now
number cards < —
number cards
9
and > —.
Show how to solve the problem.
5
7
8
10
6
THINK
Cross out the numbers
Anthony gives away.
11
7
8
Anthony has number cards — and —.
Make a model to solve.
1. Emily has the number cards shown.
She gives away the cards less
than 19 and greater than 22.
Which cards does she have now?
17
18
20
Reteach
© Houghton Mifflin Harcourt Publishing Company
21
23
R59
Emily has — and —.
Lesson 7.5
Reteach
Name
10 More, 10 Less
24 is 10 less
than 34.
24
44 is 10 more
than 34.
44
34
Write the numbers that are
10 less and 10 more.
1.
35
2.
22
Reteach
© Houghton Mifflin Harcourt Publishing Company
R60
Lesson 8.1
Reteach
Name
Within 20
You can use strategies
• count on
• doubles
• doubles plus
one
What is 5 + 6?
• count back
• related facts
• doubles minus
one
What is 12 - 4?
I can use
doubles plus one.
I can use a
related fact.
5 + 5 = 10
8 + 4 = 12
11 .
So, 5 + 6 = —
8.
So, 12 - 4 = —
1.
12 - 3 =
2.
8+9=
3.
10 - 5 =
4.
13 - 7 =
5.
7+8=
6.
6+6=
Reteach
© Houghton Mifflin Harcourt Publishing Company
R61
Lesson 8.2
Reteach
Name
What is 10 + 30?
Use
.
Draw the tens.
4
40
10 + 30 = —
1 ten + 3 tens =
— tens
Use
. Draw to show tens.
Write how many tens. Write the sum.
1.
2.
1 ten + 8 tens =
— tens
10 + 80 =
4 tens + 3 tens =
40 + 30 =
—
3.
— tens
—
4.
2 tens + 6 tens =
20 + 60 =
Reteach
© Houghton Mifflin Harcourt Publishing Company
— tens
5 tens + 3 tens =
50 + 30 =
—
R62
— tens
—
Lesson 8.3
Reteach
Name
Subtract Tens
What is 60 – 40?
Use
.
Show 6 tens.
Take away 4 tens.
2 tens are left.
2
20
60 - 40 = —
6 tens - 4 tens =
— tens
Use
. Draw to show tens.
Write how many tens. Write the difference.
1.
2.
7 tens - 4 tens =
70 - 40 =
— tens
9 tens - 5 tens =
90 - 50 =
—
3.
— tens
—
4.
5 tens - 2 tens =
50 - 20 =
Reteach
© Houghton Mifflin Harcourt Publishing Company
— tens
8 tens - 7 tens =
80 - 70 =
—
R63
— ten
—
Lesson 8.4
Reteach
Name
Use a Hundred Chart to Add
You can count on to add on a
hundred chart.
1
2
3
4
5
6
7
8
9 10
11 12 13 14 15 16 17 18 19 20
Start at 21. Move right to
count on 3 ones. Count
22
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
,
23
,
21 + 3 =
51 52 53 54 55 56 57 58 59 60
24
24
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
Start at 68. Move down to
count on 3 tens. Count
78
,
88
68 + 30 =
,
98
98
Use the hundred chart to add.
Count on by ones.
1.
46 + 2 =
2.
63 + 3 =
4.
23 + 40 =
Count on by tens.
3.
52 + 30 =
Reteach
© Houghton Mifflin Harcourt Publishing Company
R64
Lesson 8.5
Reteach
Name
Add ones to a two-digit number.
+
21
3
THINK
Draw 2 tens
and 4 ones.
24
=
THINK
Add tens to a two-digit number.
21
+
=
30
51
Use . Draw to show how to add the
ones or tens. Write the sum.
1.
15 + 2 =
Reteach
© Houghton Mifflin Harcourt Publishing Company
2.
R65
15 + 20 =
Lesson 8.6
Reteach
Name
What is 17 + 5?
Step 1
Use
.
Show 17.
Use
Step 2
Make
a
ten.
.
Show 5.
Step 3
22
20 + 2 = —
22 .
So, 17 + 5 = —
Draw to show how you
make a ten. Find the sum.
1. What is 16 + 8?
20
+
4
=
24
So, 16 + 8 = __.
Reteach
© Houghton Mifflin Harcourt Publishing Company
R66
Lesson 8.7
Reteach
Name
Tens
Ones
Show 25.
Show 22.
How many tens?
2 tens + 2 tens =
How many ones?
5 ones + 2 ones =
4
7
__ tens + __ ones
40 + __
7 = __
47
4
7
tens
ones
25
+
22
_
__
47
Use tens and ones to add.
Tens
Ones
3 tens + 4 tens = __ tens
4 ones + 2 ones = __ ones
34
+
42
_
__ tens + __ ones
__
Reteach
© Houghton Mifflin Harcourt Publishing Company
+
R67
__ = __
Lesson 8.8
Reteach
Name
Word Problems
Morgan plants 17 seeds.
Amy plants 8 seeds.
How many seeds do they plant?
Unlock the Problem
What do I need to find?
how many
they plant
seeds
What information do
I need to use?
Morgan plants
8
17 seeds.
—
Amy plants — seeds.
Show how to solve the problem.
count on ones
make a ten
— seeds.
Draw to solve. Circle your reasoning.
count on tens
1. Edward buys 24 tomato plants.
make a ten
How many plants does he buy?
— plants
Reteach
© Houghton Mifflin Harcourt Publishing Company
R68
Lesson 8.9
Reteach
Name
You can count up and back by tens
1
2
3
4
5
6
7
8
9 10
11 12 13 14 15 16 17 18 19 20
Start at 68. Move down to
count up by 3 tens. Count
78
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
,
88
,
68 + 30 =
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
98
98
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
Start at 98. Move up to
count back by 3 tens. Count
88
,
78
,
98 - 30 =
68
68
Use the hundred chart to add and subtract.
Count up and back by tens.
1.
42 + 20 =
2.
62 - 20 =
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© Houghton Mifflin Harcourt Publishing Company
24 + 60 =
84 - 60 =
R69
Lesson 8.10
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Name
Subtraction
You can use models to add and subtract.
18
13 + 5 = —
30
90 - 60 = —
1.
33 + 6 = —
2.
10 + 10 = —
3.
15 - 8 = —
4.
6+7= —
5.
54 + 23 = —
6.
71 + 8 = —
7.
5+5= —
8.
8-8= —
9.
16 + 3 = —
11.
9-7= —
12.
30 - 10 = —
10.
55 + 12 = —
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R70
Lesson 9.1
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Name
Order Length
You can put objects in order by length.
These pencils are in order
from shortest to longest.
These pencils are in order
from longest to shortest.
shortest
longest
longest
shortest
Draw three lines in order from shortest to longest.
1. shortest
2.
3. longest
Draw three lines in order from longest to shortest.
4. longest
5.
6. shortest
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R71
Lesson 9.2
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Name
Indirect Measurement
Clue 1: A marker is shorter than a pencil.
Clue 2: The pencil is shorter than a ribbon.
Is the marker shorter or longer than the ribbon?
marker
Draw Clue 1.
Draw Clue 2.
Then compare the
marker and the ribbon.
pencil
ribbon
So, the marker is
shorter than the ribbon.
Use the clues. Write shorter or longer
to complete the sentence. Then draw to
1. Clue 1: A string is longer than a straw.
Draw Clue 1.
Draw Clue 2.
Then compare the
string and the pencil.
Clue 2: The straw is longer than a pencil.
Is the string shorter or longer than the pencil?
string
straw
pencil
The string is
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than the pencil.
R72
Lesson 9.3
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Name
Use Nonstandard Units
to Measure Length
You can use
to measure length.
Line up the .
Count how many.
5
Use real objects. Use
Count how many.
to measure.
1.
2.
Glue
3.
4.
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R73
Lesson 9.4
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Name
Make a Nonstandard
Measuring Tool
About how long is the ribbon?
Count to measure.
10
Count on by ones.
Use real objects and the measuring tool you made.
Measure.
1.
2.
3.
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R74
Lesson 9.5
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Name
Problem Solving •
Measure and Compare
The gray ribbon is 3
long. The white ribbon is
4
long. The black ribbon is 1
longer than
the white ribbon. Draw and color the length of the
ribbons in order from shortest to longest.
What do I need to find?
order the ribbons from
shortest
to
What information do
I need to use?
longest Measure the ribbons
using paper clips.
Show how to solve the problem.
shortest
longest
1
2
3
1
2
3
4
1
2
3
4
5
3
4
5
1. The
ribbon is the shortest ribbon.
2. The
ribbon is the longest ribbon.
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R75
Lesson 9.6
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Name
Time to the Hour
Look at the hour hand.
8
The hour hand points to the
It is
11 12 1
2
10
9
3
4
8
7 6 5
.
8:00 .
Look at where the hour hand points.
Write the time.
1. The hour hand points to the
It is
.
.
2. The hour hand points to the
It is
11 12 1
2
10
9
3
4
8
7 6 5
.
11 12 1
2
10
9
3
4
8
7 6 5
.
3.
4.
11 12 1
2
10
9
3
4
8
7 6 5
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© Houghton Mifflin Harcourt Publishing Company
5.
11 12 1
2
10
9
3
4
8
7 6 5
R76
11 12 1
2
10
9
3
4
8
7 6 5
Lesson 9.7
Reteach
Name
Time to the Half Hour
The hour hand points halfway between
10
the
9
It is
half past 9:00
and the
11 12 1
2
10
9
3
4
8
7 6 5
.
.
Look at where the hour hand points.
Write the time.
11 12 1
2
10
9
3
4
8
7 6 5
1. The hour hand points halfway between
the
and the
.
It is
.
2. The hour hand points halfway between
the
and the
.
It is
3.
.
4.
11 12 1
2
10
9
3
4
8
7 6 5
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© Houghton Mifflin Harcourt Publishing Company
11 12 1
2
10
9
3
4
8
7 6 5
5.
11 12 1
2
10
9
3
4
8
7 6 5
R77
11 12 1
2
10
9
3
4
8
7 6 5
Lesson 9.8
Reteach
Name
Tell Time to the Hour
and Half Hour
The short hand is the hour hand.
It shows the hour.
The long hand is the minute hand.
It shows the minutes after the hour.
There are 60 minutes
in one hour.
55
50
45
40
60
5
5
11 12 1
2
10
9
3
4
8
7 6 5
35
30
There are 30 minutes
in a half hour.
10
11 12 1
2
10
9
3
4
8
7 6 5
10
15
20
30
25
15
20
25
8:30
8:00
Write the time.
1.
11 12 1
2
10
9
3
4
8
7 6 5
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© Houghton Mifflin Harcourt Publishing Company
2.
11 12 1
2
10
9
3
4
8
7 6 5
R78
3.
11 12 1
2
10
9
3
4
8
7 6 5
Lesson 9.9
Reteach
Name
Practice Time to the
Hour and Half Hour
The hour hand points to 8.
The minute hand points to 12.
The hour hand points
between 8 and 9.
The minute hand points to 6.
11 12 1
2
10
9
3
4
8
5
7 6
11 12 1
2
10
9
3
4
8
7 6 5
8:00
8:30
Use the hour hand to write the time.
Draw the minute hand.
1.
11 12 1
2
10
9
3
4
8
7 6 5
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© Houghton Mifflin Harcourt Publishing Company
2.
11 12 1
2
10
9
3
4
8
7 6 5
R79
3.
11 12 1
2
10
9
3
4
8
7 6 5
Lesson 10.1
Reteach
Name
A picture graph uses pictures to show how many.
Count the in each row.
Snack We Like
apple
pretzel
Each
stands for 1 child who chose that snack.
There are
There are
5
3
children who chose
children who chose
.
.
Use the picture graph to answer each question.
What We Ate for Lunch
sandwich
soup
S oup
Each
stands for 1 child.
1. Which lunch did more
S oup
children choose? Circle.
2. How many children chose
3. How many children chose
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?
S oup
?
R80
children
children
Lesson 10.2
Reteach
Name
Make Picture Graphs
Are there more black cars or white cars?
Complete the picture graph to find out.
Cross out each
car as you
count.
Draw a
in the
graph to show
each car.
Black and White Cars
black
white
Each
stands for 1 car.
Use the picture graph to answer each question.
1. How many
are there?
2. How many
are there?
3. Are there more
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© Houghton Mifflin Harcourt Publishing Company
or
? Circle.
R81
Lesson 10.3
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Name
A bar graph uses a bar to show how many.
Kinds of Snacks
This graph shows 6 children chose
The longest
bar shows the
snack most
children chose.
.
Our Favorite Snack
apple
pretzel
yogurt
0
1
2
3
4
5
Number of Children
6
Use the bar graph to answer the question.
1. How many children chose
?
2. How many children chose
children
?
3. Circle the snack the most
4. Circle the snack the
children chose.
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© Houghton Mifflin Harcourt Publishing Company
children
fewest children chose.
R82
Lesson 10.4
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Name
Make Bar Graphs
Make a bar graph to show each
animal in the picture.
Kinds of
Animals
Cross out each
animal as you show
it in the graph.
Animals at the Farm
sheep
chicks
0
1
2
3
4
5
6
Number of Animals
Are there more
or
1. Make a bar graph to find out.
Desks and Doors in Our Classroom
Items
desks
doors
0
2. How many
1
2
3
4
5
6
7
Number of Items
8
9 10
3. Are there more
or
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R83
Lesson 10.5
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Name
Some children named their favorite collections.
Each stands for 1 child.
Each
stands for 5 children.
Our Favorite Thing to Collect
4
shells
12 34
stamps
5
Total
67
More children like to collect
stamps
7
.
Complete the tally chart.
Do you have a pet?
Total
yes
no
Use the tally chart to answer each question.
1. How many children have a pet?
children
2. How many children do not have a pet?
children
3. Did more children answer yes or no?
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R84
Lesson 10.6
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Name
Make Tally Charts
The picture shows shapes.
Make a tally chart to show
how many of each shape.
Cross out each
shape as you
count.
Shapes in the Picture
Total
6
3
8
circles
stars
triangles
Use the tally chart to answer each question.
1. How many
are there?
2. How many more
than
are there?
more
3. Which shape is there
the most of? Circle.
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R85
Lesson 10.7
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Name
Problem Solving •
Represent Data
Ava has these beads to make a bracelet.
How can you find how many beads she has?
Unlock the Problem
What do I need to find?
how many
What information do
I need to use?
,
the number of ,
Ava has
in the picture
and
Show how to solve the problem.
Color the first bar
to show there are
4 circles.
circle
square
triangle
0
1
2
3
4
5
6
Use the graph. Write how many. Add to solve.
4
1.
1
1
How many beads does Ava have?
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R86
5
Lesson 11.1
Reteach
Name
Three-Dimensional Shapes
curved surface
sphere
curved and flat surfaces
cone
cylinder
flat surfaces
rectangular prism
cube
Color to sort the shapes into three groups.
1. only flat surfaces
2. only a curved surface
3. both curved and flat surfaces
cube
cone
sphere
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© Houghton Mifflin Harcourt Publishing Company
cylinder
rectangular prism
R87
Lesson 11.2
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Name
Combine
Three-Dimensional Shapes
Put shapes together to make
a new shape.
and
do not make
this shape.
Use three-dimensional shapes.
Combine.
Which new shapes can you make?
Circle them.
1.
2.
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R88
Lesson 11.3
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Name
Make New
Three-Dimensional Shapes
Build a shape.
Copy the shape.
Combine them.
Circle a new shape you can make.
You cannot make this new
shape. The first shapes did
not stay the same.
Use three-dimensional shapes.
Build these
shapes.
Circle the new shape you can make.
Cross out the shape you cannot make.
1.
2.
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R89
Lesson 11.4
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Name
Problem Solving • Take Apart
Three-Dimensional Shapes
Kate has , , , and
She built a tower.
Which shapes did Kate
use to build the tower?
.
Unlock the Problem
What do I need to find?
shapes
which
Kate used to build the tower
What information do
I need to use?
Kate has these shapes.
Show how to solve the problem.
Find the matching shapes.
1. Which shapes did Marvin use to build this bench?
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R90
Lesson 11.5
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Name
Two-Dimensional Shapes
on Three-Dimensional Shapes
circle
rectangle
square
Look at the shape.
Circle the flat surfaces it has.
1.
2.
3.
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R91
Lesson 12.1
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Name
Sort Two-Dimensional
Shapes
Circles are curved Triangles have
3 sides and
and closed.
3 vertices.
Rectangles have
4 sides and
4 vertices.
A square is a
special kind of
rectangle.
Read the sorting rule. Circle the
1. 4 sides
2. curved and closed
3. 3 vertices
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R92
Lesson 12.2
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Name
Describe Two-Dimensional
Shapes
This shape has
4 straight sides
and 4 vertices.
side
vertex
Write the number of straight sides or vertices.
1. triangle
2. square
3
sides
3. hexagon
vertices
4. trapezoid
vertices
5. triangle
sides
6. square
vertices
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R93
sides
Lesson 12.3
Reteach
Name
Combine Two-Dimensional
Shapes
You can put shapes together to make
a new shape.
3
a
make
.
Use pattern blocks. Draw to show the blocks.
Write how many blocks you used.
1. How many
make a
make a
2. How many
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© Houghton Mifflin Harcourt Publishing Company
.
make a
make a
?
?
.
R94
Lesson 12.4
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Name
Combine More Shapes
Combine shapes to make a new shape.
2 Shapes
Combine
New Shape
Circle the shapes that can combine to make
the new shape.
1.
2.
3.
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R95
Lesson 12.5
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Name
Problem Solving • Make
New Two-Dimensional Shapes
Luis wants to use to make a
How many does he need?
.
Unlock the Problem
What do I need to find?
how Luis can make a
What information do
I need to use?
using
Luis uses
Show how to solve the problem.
2
make a
.
Use shapes to solve.
1. Meg wants to use
to make a
.
make a
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© Houghton Mifflin Harcourt Publishing Company
.
R96
Lesson 12.6
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Name
Find Shapes in Shapes
Which two pattern blocks make this shape?
Use two pattern blocks to make the shape.
Circle the blocks you use.
1.
2.
3.
4.
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R97
Lesson 12.7
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Name
Take Apart
Two-Dimensional Shapes
Use pattern blocks to help you find the parts of a shape.
Use 2
of
.
Draw a line to show
the parts.
to find parts
Use pattern blocks. Draw a line to show the parts.
2. Show 2
.
1. Show 2
.
3. Show 2
.
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© Houghton Mifflin Harcourt Publishing Company
4. Show 2
R98
.
Lesson 12.8
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Name
Equal or Unequal Parts
Equal Parts or The parts are
Equal Shares the same size.
Unequal Parts or
Unequal Shares
The parts are not
the same size.
Circle the shapes that show equal parts.
Cross out the shapes that show unequal parts.
1.
2.
3.
4.
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R99
Lesson 12.9
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Name
Halves
How can you show halves?
1
2
whole
2
equal shares
or
halves
Draw a line to show halves. Write the
numbers.
1.
whole
halves
whole
halves
2.
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R100
Lesson 12.10
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Name
Fourths
How can you show fourths?
1
4
whole
4
There are
4 equal shares.
fourths
or
quarters
Draw lines to show fourths. Write the number.
1.
whole
fourths
2. Draw lines to show quarters. Write the number.
whole
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© Houghton Mifflin Harcourt Publishing Company
fourths
R101
Lesson 1
Reteach
Name
Algebra • Ways to Expand Numbers
You can write a number different ways.
Count the tens. Count the ones.
4
5
— tens — ones
40
5.
5 ones is the same as —
40 5
45
— 1 — is the same as —.
4 tens is the same as —.
Write how many tens and ones.
Write the number two different ways.
1.
2.
— tens — ones
— tens — ones
—1—
—1—
—
—
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© Houghton Mifflin Harcourt Publishing Company
GRR1
Lesson 2
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Name
Identify Place Value
This shows the number 136.
1
3
6
136 has — hundred — tens — ones.
Write the numbers in the table.
1
—
Draw to show 136.
Draw
hundreds tens ones
3
—
6
—
for
Draw for
Draw for
to show the number. Trace to draw the quick picture.
Write how many hundreds, tens, and ones.
1.
hundreds tens ones
128
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© Houghton Mifflin Harcourt Publishing Company
—
GRR2
—
—
Lesson 3
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Name
Use Place Value to Compare Numbers
You can use models and
symbols to compare numbers.
. means is greater than
, means is less than
5 means is equal to
Use the model to compare 142 and 147.
Step 1 Compare the hundreds.
1 hundred
Step 2 Compare the tens.
4 tens 5 4 tens
Step 3 Compare the ones.
2 ones , 7 ones
So, 142 is less than 147.
5 1 hundred
142
< 147
C
if you need to.
Use
Write the numbers and compare. Write ,, ., or 5.
1.
168 C166
Compare the numbers using ., ,, or 5.
You may wish to make a model to check.
2.
151 C151
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GRR3
Lesson 4
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Name
Follow the rule to complete a
function table.
At the top of the table is a rule.
The rule is
12
13
14
5
—— .
6
7
To complete the table, ——
to each number on the left.
Follow a rule to complete the table.
1.
2.
3.
7
4
4
8
6
5
9
8
6
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© Houghton Mifflin Harcourt Publishing Company
GRR4
Lesson 5
Reteach
Name
Algebra • Subtraction Function Tables
Follow the rule to complete a
function table.
At the top of the table is a rule.
The rule is
Subtract 5
12
Subtract
5
———.
13
Subtract
5
———
To complete the table,
from each number on the left.
14
7
8
9
Follow a rule to complete the table.
1.
Subtract 3
2.
Subtract 6
3.
Subtract 4
5
9
7
7
11
9
9
13
11
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GRR5
Lesson 6
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Name
Read the rule at the top of each table.
Circle the table that tells you to add.
Underline the table that tells you to subtract.
Then complete both tables.
3
5
7
9
Subtract 1
4
6
8
10
3
5
7
9
2
4
6
8
Follow a rule to complete the table.
1.
2.
Subtract 3
10
10
9
9
8
8
7
7
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© Houghton Mifflin Harcourt Publishing Company
GRR6
Lesson 7
Reteach
Name
numbers that
make a 10.
numbers that will
doubles.
numbers to
count on.
2
6
18
2
6
18
2
6
18
1
1
1
Circle the strategy you use.
Write the numbers. Find the sum.
1.
7
4
13
make a 10
1
2.
doubles
1
5
16
make a 10
1
count on
3.
7
5
11
make a 10
1
count on
4.
doubles
count on
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© Houghton Mifflin Harcourt Publishing Company
doubles
5
4
16 1
make a 10
doubles
count on
RGRR7
Lesson 8
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Name
Add a One-Digit Number to a Two-Digit
Number
Add to find how many tens and ones in all.
Write the sum.
Tens
Ones
There are 4
tens. There are
5 ones. The
sum is 45.
43
1 2
45
1.
32
1 4
Tens
Ones
2. 12
Tens
Ones
1 7
3.
53
1 5
Tens
Ones
4.
47
1 2
Tens
5.
68
1 1
Tens
Ones
6.
95
1 3
Tens
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© Houghton Mifflin Harcourt Publishing Company
GRR8
Ones
Ones
Lesson 9
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Name
Add to find how many tens and ones in all.
Write the sum.
Tens
22
1 13
Ones
There are 3 tens.
There are 5 ones.
The sum is 35.
35
1.
31
1 24
3.
63
1 25
5.
81
1 17
Tens
Tens
Tens
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© Houghton Mifflin Harcourt Publishing Company
Ones
2.
65
1 14
Tens
Ones
Ones
4.
42
1 34
Tens
Ones
Ones
6.
23
1 33
Tens
Ones
GRR9
Lesson 10
Reteach
Name
Equal groups have the same number of items in each group.
You can add equal groups to find how many in all.
5
There are — equal groups of fish.
2
Each group has — fish.
Add to find how many fish in all.
You can use
2
—
to make a model.
2 1—
2 1—
2 1—
2 5 10
1—
—
10
There are — fish in all.
. Make equal
Number Number
of Equal in Each
Groups Group
How many in all?
1.
3
5
—1—1—5—
2.
4
2
—1—1—1—5—
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GRR10
Lesson 11
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Name
Use Repeated Addition to Solve Problems
Loren has 3 jars. She wants to put 5 flowers in each jar.
How many flowers does Loren need?
Draw a picture to show the story.
3
5 flowers in each jar.
Step 2 Draw —
Step 3 Find how many in all. 5
5 5 15
—1—1—5—
15 flowers.
Loren needs —
Step 1 Draw — jars.
Draw pictures to show the story.
Write the addition sentence to solve.
1. Matt plays with 2 friends. He wants
to give each friend 4 cars. How
many cars does Matt need?
—
cars
—
1—5—
—
1—1—
2. Liz shops with 3 friends. She wants
to buy each friend 3 hair clips. How
many hair clips does Liz need?
— hair clips
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© Houghton Mifflin Harcourt Publishing Company
5—
GRR11
Lesson 12
Reteach
Name
Choose a Non-Standard Unit
to Measure Length
You can choose a nonstandard unit to
measure the length of real objects.
is short. Use it to measure short objects.
A
is longer. Use it to measure long objects.
A
Circle the unit you would use.
to measure
.
Use
Use
to measure
.
Use real objects. Circle the unit you
would use to measure. Then measure.
Object
Unit
Measurement
1.
2.
3.
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© Houghton Mifflin Harcourt Publishing Company
GRR12
Lesson 13
Reteach
Name
Use a Non-Standard Ruler
Use the
to measure the marker.
7
7
How many
long.
long is the string?
1.
long
long
2.
Reteach
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GRR13
Lesson 14
Reteach
Name
Compare Lengths
The black ribbon is
The gray ribbon is
Use
shortest .
longest .
to measure each ribbon.
8
10
6
long
long
—
long
—
long
—
long
long
Color the shortest ribbon blue.
Color the longest ribbon yellow.
Then measure with . Write the lengths.
1.
Reteach
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GRR14
Lesson 15
Reteach
Name
Time to the Hour and Half Hour
Time to the Hour
Time to the Half Hour
minute hand
points to 12
11 12 1
2
10
9
3
4
8
7 6 5
hour hand
points to
the hour
number
11 12 1
2
10
9
3
4
8
7 6 5
hour hand
points halfway
between the
hour number
minute hand and the next
points to 6 number
3:30
3:00
Read the clock. Write the time.
1.
11 12 1
2
10
9
3
4
8
7 6 5
2.
—
3.
11 12 1
2
10
9
3
4
8
7 6 5
—
4.
—
Reteach
© Houghton Mifflin Harcourt Publishing Company
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
—
GRR15
Lesson 16
Reteach
Name
Use a Picture Graph
Grapes We Like
green grapes
purple grapes
Each
stands for 1 child.
How many children
chose ?
Count the
Which grapes did fewer
children chose?
in the
THINK
Which row has fewer
row.
purple
5
— children
?
grapes
Our Shirt Colors
red
yellow
blue
Each
stands for 1 child.
Use the picture graph to answer the questions.
1. How many children are
2. How many children are
there in all?
wearing
?
— children
— children
3. What color shirts are most 4. How many more children
of the children wearing?
are wearing
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?
— children
—
Reteach
than
GRR16
Lesson 17
Reteach
Name
Use a Bar Graph
Kind of Animal
Animals Seen at the Pond
turtle
salamander
frog
0
How many
the pond?
1
3
4
5
Number of Animals
were seen at
6
Which animal was seen
the least?
the end of the
2
THINK Which bar
is the shortest?
bar.
6
— turtles
Use the bar graph to answer the questions.
2. How many
were
seen at the pond?
1. How many animals in all
were seen at the pond?
— animals
3. How many fewer
were seen?
than
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4. Were more
more
seen?
or
more
— fewer
Reteach
—
GRR17
Lesson 18
Reteach
Name
Take a Survey
When you take a survey, you collect information.
information you collect.
Chris took a survey of his friends’ favorite lunch.
The tally chart shows their answers.
Our Favorite Lunch
3
— children chose sandwich.
6
— children chose pizza.
1
pizza
The most children chose
Lunch
Tally
sandwich
pizza
———.
1. Take a survey.
Our Favorite Lunch
Ask 10 classmates which lunch is
their favorite. Use tally marks to
Lunch
sandwich
pizza
2. Did more children choose pizza or
taco
taco?
3. The most children chose
Reteach
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Tally
.
GRR18
Lesson 19
Reteach
Name
Identify Shapes
vertex
side
vertex
hexagon
triangle
3 sides,
3 vertices
side
side
vertex
square
rectangle
6 sides,
6 vertices
trapezoid
4 sides, 4 vertices
Circle to answer the question. Write to name the shape.
1. Which shape has
2. Which shape has
3. Which shape has 4 sides?
4. Which shape has 6 sides?
4 vertices?
Reteach
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3 vertices?
GRR19
Lesson 20
Reteach
Name
Equal Shares
2
4
— equal shares
— equal shares
half of
the circle
a fourth of
the circle
halves
fourths
Write to name the equal shares.
1.
2.
fourths
—
3.
—
4.
—
Reteach
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—
GRR20