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PRACTICE
Grade 2
Visit The Learning Site!
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CALIFORNIA HSP
Workbook
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ISBN 13: 978-0-15-356911-1
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1 2 3 4 5 6 7 8 9 10 073 16 15 14 13 12 11 10 09 08 07
UNIT 1: NUMBERS AND
OPERATIONS
Chapter 1: Addition Facts and
Strategies
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
Understand Addition ................. PW1
Count On ................................. PW2
Doubles and Doubles Plus One .. PW3
Make a Ten .............................. PW4
Algebra: Practice the Facts........ PW5
Algebra: Follow the Rule ............ PW6
Algebra: Add Three Numbers ..... PW7
Problem Solving Workshop
Strategy: Draw a Picture ........... PW8
Chapter 2: Subtraction Facts and
Strategies
2.1
2.2
2.3
2.4
2.5
2.6
Understand Subtraction ............ PW9
Count Back ............................ PW10
Algebra: Fact Families ............. PW11
Algebra: Think Addition to
Subtract ................................ PW12
Algebra: Missing Addends ....... PW13
Problem Solving Workshop
Skill: Choose the Operation ..... PW14
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Chapter 4: Number Concepts and
Patterns
4.1
4.2
4.3
4.4
4.5
4.6
4.7
UNIT 2: 2-DIGIT ADDITION
AND SUBTRACTION
Chapter 5: Explore 2-Digit Addition
5.1
5.2
5.3
5.4
5.5
Chapter 3: Place Value to 100
3.1
3.2
3.3
3.4
3.5
© Harcourt
3.6
3.7
Tens ...................................... PW15
Tens and Ones ....................... PW16
Understand Place Value .......... PW17
Expanded Form ..................... PW18
Read and Write Numbers
to 100 ................................... PW19
Different Ways to Show
Numbers ............................... PW20
Problem Solving Workshop
Skill: Make Reasonable
Estimates .............................. PW21
Algebra: Compare Numbers:
>, <, or = ............................... PW22
Algebra: Order Numbers ......... PW23
Even and Odd Numbers .......... PW24
Algebra: Patterns on a
Hundred Chart ....................... PW25
Algebra: Skip-Count on a
Number Line .......................... PW26
Problem Solving Workshop
Strategy: Find a Pattern .......... PW27
Algebra: Number Patterns ....... PW28
5.6
Mental Math: Add On
Multiples of Ten ...................... PW29
Regrouping for Addition........... PW30
Model 2-Digit Addition ............. PW31
Problem Solving Workshop
Strategy: Make a Model .......... PW32
Model and Record 2-Digit
Addition ................................. PW33
2-Digit Addition ....................... PW34
Chapter 6: 2-Digit Addition
6.1
6.2
6.3
6.4
6.5
6.6
6.7
Add 2-Digit Numbers ............... PW35
Practice 2-Digit Addition .......... PW36
Rewrite 2-Digit Addition ........... PW37
Estimate Sums ....................... PW38
More 2-Digit Addition............... PW39
Problem Solving Workshop
Skill: Use a Table .................... PW40
Algebra: Break Apart
Numbers to Add ..................... PW41
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Chapter 7: Explore 2-Digit Subtraction
7.1
7.2
7.3
7.4
7.5
7.6
Mental Math: Subtract
Multiples of 10 ....................... PW42
Regrouping for Subtraction...... PW43
Model 2-Digit Subtraction ........ PW44
Problem Solving Workshop
Strategy: Make a Model .......... PW45
Model and Record 2-Digit
Subtraction ............................ PW46
Subtract 2-Digit Numbers ........ PW47
Chapter 8: 2-Digit Subtraction
8.1
8.2
8.3
8.4
8.5
8.6
8.7
8.8
8.9
2-Digit Subtraction .................. PW48
Practice 2-Digit Subtraction ..... PW49
Rewrite 2-Digit Subtraction ...... PW50
More 2-Digit Subtraction.......... PW51
Use Addition to Check
Subtraction ............................ PW52
Estimate Differences .............. PW53
Problem Solving Workshop
Skill: Use a Table .................... PW54
Mental Math: Find Differences . PW55
Mixed Practice ....................... PW56
UNIT 3: DATA, GRAPHS, AND
MONEY
Chapter 9: Data and Graphs
© Harcourt
9.1
9.2
9.3
9.4
9.5
9.6
9.7
Picture Graphs ....................... PW57
Take a Survey on a Tally Chart .. PW58
Read a Bar Graph .................. PW59
Make a Bar Graph .................. PW60
Problem Solving Workshop
Strategy: Make a Bar Graph .... PW61
Pictographs ........................... PW62
Range and Mode.................... PW63
Chapter 10: Count Money
10.1
10.2
10.3
10.4
Dimes, Nickels, and Pennies .... PW64
Half Dollars and Quarters ........ PW65
Count Collections ................... PW66
Make the Same Amounts ........ PW67
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10.5 Problem Solving Workshop
Strategy: Make a List .............. PW68
Chapter 11: Use Money
11.1 Algebra: Compare Amounts .... PW69
11.2 Problem Solving Workshop
Strategy: Act It Out ................ PW70
11.3 Add and Subtract Money ......... PW71
11.4 Problem Solving Workshop
Strategy: Predict and Test ....... PW72
11.5 One Dollar ............................. PW73
11.6 Make Change to $1.00 ........... PW74
UNIT 4: GEOMETRY AND
FRACTIONS
Chapter 12: Solid Figures
12.1
12.2
12.3
12.4
Identify Solid Figures .............. PW75
Algebra: Sort Solid Figures ...... PW76
Attributes of Solid Figures ....... PW77
Make Plane Figures from
Solid Figures .......................... PW78
12.5 Problem Solving Workshop
Strategy: Make a Table ............ PW79
Chapter 13: Plane Figures and Spatial
Sense
13.1
13.2
13.3
13.4
13.5
Identify Plane Figures ............. PW80
Algebra: Sort Plane Figures ..... PW81
Combine Plane Figures ........... PW82
Separate Plane Figures .......... .PW83
Problem Solving Workshop
Strategy: Use Logical
Reasoning ............................. PW84
13.6 Congruent Figures .................. PW85
Chapter 14: Parts of a Whole
14.1
14.2
14.3
14.4
Equal Parts ........................... PW86
Unit Fractions ....................... PW87
Compare Unit Fractions ........ .PW88
Problem Solving Workshop
Strategy: Make a Model .......... PW89
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14.5 Other Fractions ...................... PW90
14.6 Fractions Equal to 1 ................ PW91
14.7 Fractions Greater Than 1 ........ PW92
Chapter 15: Parts of a Group
15.1
15.2
15.3
15.4
Equal Parts of a Group ............ PW93
Unit Fractions of a Group ........ PW94
Other Fractions of a Group ...... PW95
Problem Solving Workshop
Strategy: Make a Model .......... PW96
UNIT 5: GREATER NUMBERS
AND 3-DIGIT ADDITION AND
SUBTRACTION
Chapter 16: Place Value to 1,000
16.1
16.2
16.3
16.4
16.5
16.6
16.7
16.8
Hundreds .............................. PW97
Hundreds, Tens, and Ones ...... PW98
Understand Place Value .......... PW99
Read and Write 3-Digit
Numbers ............................. PW100
Different Ways to Show
Numbers ............................. PW101
Problem Solving Workshop
Skill: Make Reasonable
Estimates ............................ PW102
Count Bills and Coins ............ PW103
Problem Solving Workshop
Strategy: Make a Model ........ PW104
© Harcourt
Chapter 17: Compare and Order
Greater Numbers
17.1 Algebra: Compare Numbers:
>, <, or = ............................. PW105
17.2 Use Place Value to Compare
Numbers ............................. PW106
17.3 Compare Money Amounts ..... PW107
17.4 Algebra: Order Numbers ....... PW108
17.5 Problem Solving Workshop
Skill: Use a Table .................. PW109
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Chapter 18: 3-Digit Addition
18.1 Mental Math: Add On
Multiples of 100.................... PW110
18.2 Model 3-Digit Addition:
Regroup Ones ..................... PW111
18.3 Model 3-Digit Addition:
Regroup Tens ....................... PW112
18.4 Practice 3-Digit Addition ........ PW113
18.5 Estimate Sums ..................... PW114
18.6 Problem Solving Workshop
Skill: Too Much Information ... PW115
Chapter 19: 3-Digit Subtraction
19.1 Mental Math: Subtract Multiples of 100 ......
PW116
19.2 Model 3-Digit Subtraction:
Regroup Tens ....................... PW117
19.3 Model 3-Digit Subtraction:
Regroup Hundreds ............... PW118
19.4 Practice 3-Digit Subtraction ... PW119
19.5 Add and Subtract Money ....... PW120
19.6 Problem Solving Workshop Skill:
Solve Multistep Problems ....... PW121
19.7 Estimate Differences ............ PW122
UNIT 6: MULTIPLICATION,
DIVISION, MEASUREMENT,
AND TIME
Chapter 20: Multiplication Concepts
and Facts
20.1 Skip-Count to Multiply ........... PW123
20.2 Connect Addition to
Multiplication........................ PW124
20.3 Algebra: Model with Arrays ... PW125
20.4 Algebra: Multiply in Any Order PW126
20.5 Problem Solving Workshop
Strategy: Write a Number
Sentence ............................. PW127
20.6 Multiply with 2 ...................... PW128
20.7 Multiply with 5 ...................... PW129
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20.8 Multiply with 10 .................... PW130
20.9 Use a Multiplication Table ...... PW131
Chapter 21: Division Concepts
21.1 Sizes of Shares .................... PW132
21.2 Number of Equal Shares ....... PW133
21.3 Equal Shares with
Remainders ......................... PW134
21.4 Connect Subtraction to
Division ............................... PW135
21.5 Problem Solving Workshop
Strategy: Write a Number
Sentence ............................. PW136
Chapter 22: Length
22.1 Measure Length with Nonstandard
Units .................................. PW137
22.2 Compare Nonstandard Units .. PW138
22.3 Measure to the Nearest Inch .. PW139
22.4 Problem Solving Workshop
Skill: Make Reasonable
Estimates ............................ PW140
22.5 Measure in Inches and Feet .. PW141
22.6 Measure to the Nearest
Centimeter........................... PW142
© Harcourt
Chapter 23: Weight, Mass, and
Capacity
23.1 Ounces and Pounds ............. PW143
23.2 Grams and Kilograms ........... PW144
23.3 Cups, Pints, Quarts,
and Gallons.......................... PW145
23.4 Liters ................................... PW146
23.5 Problem Solving Workshop
Skill: Make Reasonable
Estimates ............................ PW147
Chapter 24: Time
24.1
24.2
24.3
24.4
24.5
Explore 1 Minute .................. PW148
Time to 15 Minutes ............... PW149
Time to 5 Minutes ................. PW150
Time Before the Hour ........... PW151
A.M. and P.M. ...................... PW152
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24.6 Elapsed Time ....................... PW153
24.7 Problem Solving Workshop
Skill: Use a Table .................. PW154
24.8 Days, Weeks, Months, and
Years .................................. PW155
Spiral Review
Week 1 ..............................................SR1
Week 2 ..............................................SR2
Week 3 ..............................................SR3
Week 4 ..............................................SR4
Week 5 ..............................................SR5
Week 6 ..............................................SR6
Week 7 ..............................................SR7
Week 8 ..............................................SR8
Week 9 ..............................................SR9
Week 10 ..........................................SR10
Week 11 ..........................................SR11
Week 12 ..........................................SR12
Week 13 ..........................................SR13
Week 14 ..........................................SR14
Week 15 ..........................................SR15
Week 16 ..........................................SR16
Week 17 ..........................................SR17
Week 18 ..........................................SR18
Week 19 ..........................................SR19
Week 20 ..........................................SR20
Week 21 ..........................................SR21
Week 22 ..........................................SR22
Week 23 ..........................................SR23
Week 24 ..........................................SR24
Week 25 ..........................................SR25
Week 26 ..........................................SR26
Week 27 ..........................................SR27
Week 28 ..........................................SR28
Week 29 ..........................................SR29
Week 30 ..........................................SR30
Week 31 ..........................................SR31
Week 32 ..........................................SR32
Week 33 ..........................................SR33
Week 34 ..........................................SR34
Week 35 ..........................................SR35
Week 36 ..........................................SR36
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Name
Lesson 1.1
Understand Addition
Write the number sentence. Solve.
1. Six bees are flying.
Then 6 more bees
come to join them.
How many
bees are
there now?
bee
C C
6 +—
6 =—
12
—
bees
2. Jeff finds 8 ladybugs.
Sally finds 3 ladybugs.
How many
—
ladybugs do
they find in
ladybug
all?
C
—
C
— ladybugs
C
—
C
— moths
C
—
C
— crickets
3. There are 4 moths on
a tree. Then 5 more
moths come.
How many
moths are on
the tree now? moth
—
4. There are 7 crickets
Problem Solving
© Harcourt
© Harcourt
jumping. There
are 8 crickets
—
chirping. How
many crickets cricket
are there in all?
5. Write a number sentence for
the ants that Carol saw.
—
C
—
C
—
PW1
Practice
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Name
Lesson 1.2
Count On
Circle the greater number. Count on to find the sum.
1.
2.
3.
9
+
2
_
6
+
3
_
4.
5
+
1
_
5.
9
+
3
_
3
+
4
_
9
6.
7.
8.
2
+
5
_
11.
6
+
1
_
12.
1
+
10
_
9.
5
+
3
_
13.
4
+
2
_
10.
14.
3
+
7
_
1
+
7
_
2
+
8
_
15.
8
+
1
_
8
+
3
_
© Harcourt
16. What are three ways you can
count on to make a sum of
9? Look at an addition table if
you need to.
PW2
—
⫹—⫽9
—
⫹—⫽9
—
⫹—⫽9
Practice
© Harcourt
Problem Solving
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Name
Lesson 1.3
Doubles and Doubles Plus One
Write a double. Then write both doubles-plus-one facts.
7
8
8
7
— — 15
— — 15
7 = 14
7 +—
1. —
— — 11
2. — — 10
— — 11
— — 19
3. — — 18
— — 19
——9
4. — — 8
——9
— — 13
5. — — 12
— — 13
— — 17
6. — — 16
— — 17
Problem Solving
© Harcourt
7.
Six crickets are chirping.
Then 6 more crickets join
them. How many crickets
are chirping now?
cricket
8.
Nora counts 8 flies inside
and 9 flies outside. How
many flies does she count
in all?
fly
— crickets
PW3
— flies
Practice
© Harcourt
Solve. Use doubles or doubles plus one.
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Name
Lesson 1.4
Make a Ten
Use a ten frame and
1.
2.
4
+
7
_
to make a ten. Find the sum.
3.
5
+
8
_
4.
9
+
2
_
5.
8
+
7
_
6.
9
+
9
_
4
+
8
_
11
8.
8
+
9
_
13.
9.
6
+
6
_
14.
8
+
5
_
10.
7
+
5
_
15.
9
+
7
_
11.
5
+
8
_
16.
8
+
8
_
17.
Problem Solving
© Harcourt
3
+
9
_
7
+
6
_
19. There are 13 children in
—
a room. Some are boys.
The others are girls.
Write addition sentences
to show some ways to
make 13.
—
—
—
PW4
12.
7
+
7
_
18.
2
+
9
_
C
C
C
C
—
—
—
—
6
+
8
_
C
C
C
C
—
—
—
—
Practice
© Harcourt
7.
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Name
Lesson 1.5
Practice the Facts
Find the sums.
12
66—
13
6 7 —
2.
06—
09—
3. — 85
—86
5.
29—
92—
6.
7.
59—
95—
8. — 10.
20—
70—
11. — 1.
4. — 13. — 60
—40
03
—04
14.
74
—47
50—
10—
9. — 56
—57
88
—89
12.
69—
96—
38—
93—
15.
79—
97—
Problem Solving
Solve. Use doubles or doubles plus one.
17. Fred thinks of a new
fact. The sum is 14. One
addend is 7. What fact
could Fred be thinking of?
addition fact. This time, the
sum is 15, but one addend
is still 7. What fact could
Fred be thinking of?
— ——
— ——
— ——
PW5
Practice
© Harcourt
© Harcourt
16. Fred thinks of an addition
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Name
Lesson 1.6
Algebra: Follow the Rule
Follow the rule. Complete the table.
1. Rule: Add 5.
2. Rule: Add 3.
3. Rule: Add 8.
In
Out
In
In
2
3
4
5
7
3
5
7
9
Out
Out
2
4
6
8
Find a rule. Complete the table.
4 .
4. Rule: Add —
5. Rule: Add —.
6. Rule: Add —.
In
Out
In
Out
In
Out
3
5
7
9
7
9
2
3
4
5
8
9
6
7
8
9
13
14
11
Problem Solving
7. Find the missing numbers in
9
2
HINT: Which two numbers
can you odd to find the
sum for the center of the
circle?
8
8
6
© Harcourt
© Harcourt
the puzzle.
10 5
5
PW6
Practice
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Name
Lesson 1.7
Algebra: Add 3 Numbers
Write the sum.
1.
2.
3.
4
6
⫹
3
_
3
4
⫹
2
_
4.
3
3
⫹
7
_
5.
4
2
⫹
4
_
6.
7
3
⫹
2
_
4
2
⫹
5
_
9
7.
8.
4
2
⫹
6
_
9.
9
1
⫹
1
_
13.
15.
5
5
⫹
5
_
11.
5
1
⫹
5
_
2
3
⫹
7
_
14.
1
3
⫹
7
_
10.
12.
16.
17.
2
3
⫹
6
_
8
1
⫹
2
_
4
5
⫹
3
_
6
4
⫹
4
_
18.
7
2
⫹
2
_
5
5
⫹
3
_
Problem Solving
Use the picture to solve.
red
red
green
green
green
green
19. If Ali buys all the red beads,
and Kim buys all the blue
and green beads, how many
beads do they buy in all?
— beads
PW7
green
green
blue
blue
blue
20. If Kim buys all the green
beads, and Ali buys 1 blue
bead and 2 red beads, how
many beads do they buy
in all?
— beads
Practice
© Harcourt
© Harcourt
red
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Lesson 1.8
Problem Solving Strategy Practice
Draw a picture to solve.
1. A cricket hops 5 times. Then
it hops 3 more times. How
many times does it hop in
all?
— hops
cricket
2. Six worms are digging in the
dirt. Then 6 more worms
come to join them. How many
worms are
there now?
worm
— worms
Mixed Strategy Practice
Choose a Strategy
Draw a Picture
Choose a strategy to solve.
Make a Model
3. There are 2 ladybugs on the
Write a Number Sentence
bush. Each ladybug has 8
spots. How many spots are
there on both
the ladybugs
together?
ladybug
— spots
blue pens, and 2 green pens.
How many pens does she
have in all?
© Harcourt
© Harcourt
4. Marisol has 6 red pens, 5
pen
— pens
PW8
Practice
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Lesson 2.1
Understand Subtraction
Write the number sentence. Solve.
1. There are 8 kites in the
air. Then 3 kites fall to the
ground. How
many kites are
still in the air?
8 C
= 5
- 3 C
kites
KITE
2. Tammy eats 5 nuts. Jon
eats 7 nuts. How many
fewer nuts does
Tammy eat
than Jon?
nut
C
C
fewer nuts
C
C
more birds
C
C
3. LaBron sees 8 birds. Bret
sees 2 birds. How many
more birds does
LaBron see
than Bret?
bird
4. There are 9 towels at the
pool. Bella takes 1 towel.
How many towels
are left?
towels
© Harcourt
© Harcourt
towel
Problem Solving
Use the picture to complete the sentence.
5. There are — more stars
[ART:
7 stars and 3bells]
than bells.
PW9
Practice
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Lesson 2.2
Count Back
Count back to find the difference.
1.
8
3
_
Say 8.
2.
Count back 3.
7, 6, 5
5
5
2
_
3.
7
3
_
4.
3
1
_
5.
6
2
_
6.
9
1
_
7.
12
3
_
8.
5
1
_
9.
8
2
_
10.
11
3
_
11.
7
2
_
12.
9
3
_
13.
10
1
_
14.
4
3
_
15.
3
2
_
16.
4
2
_
17.
11
2
_
18.
10
3
_
19.
6
3
_
Problem Solving
Subtract. Look for a pattern.
61
5
—
21.
81
22.
91
62
82
92
63
83
93
64
84
94
PW10
© Harcourt
© Harcourt
20.
Practice
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Lesson 2.3
Algebra: Fact Families
Complete the fact families.
1.
6
5
6
11
5
11
11
6
11
5
5
2.
17
8
6
3.
4.
13
9
7
5.
5
6.
8
3
14
6
Problem Solving
7.
8.
7 2 16 16
7
7
9
9
_
_
_
_
16 9 7 9
8 5 13 8
5
5
5
8
_
_
_
_
13 13 8 3
PW11
© Harcourt
© Harcourt
Cross out the fact that does not belong in the family.
Then write the missing fact.
Practice
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Lesson 2.4
Algebra: Think Addition to Subtract
Find the difference.
Complete the addition fact that can help.
1.
5
13 ⫺ 8 ⫽—
2.
16 ⫺ 7 ⫽
3.
4.
11 ⫺ 9 ⫽
12 ⫺ 4 ⫽
13
—
16
—
THINK: 8
5 ⫽ 13
⫹—
THINK: 7
⫹
THINK: 9
⫹
THINK: 4
⫹
11
—
12
⫽ 16
—
⫽ 11
—
⫽ 12
—
Problem Solving
© Harcourt
5.
6.
There are 11 children on the
school bus. Then 3 children
get off. How many children
school bus
are left on the bus?
⫺
⫽
Tyrell has 14 socks. Eight of
his socks are black. The rest
are white. How many white
socks does he have?
⫺
⫽
PW12
sock
Practice
© Harcourt
Write a number sentence to solve.
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Lesson 2.5
Algebra: Missing Addends
Use addition and a related fact to find the missing addend.
1. 4 ? 12
2. ? 7 16
3. ? 8 13
4. 9 ? 15
5. ? 7 11
6. 9 ? 12
4 8 12
The missing
12 4 8
addend is 8 .
7 16
16 7 The missing
addend is
.
8 13
13 8 The missing
addend is
.
9
15
15 9 The missing
addend is
.
7 11
11 7 The missing
addend is
.
9
12
12 9 The missing
addend is
.
What number does the
7.
7
15
stand for?
8.
8 11
PW13
© Harcourt
© Harcourt
Problem Solving
9.
6 12
Practice
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Lesson 2.6
Skill • Choose the Operation
Decide which operation to use.
Then write the number sentence. Solve.
1. There are 17 children in
Ms. Shore’s class. Eight
of them are girls. How
many boys are there in
the class?
C
17 -
—
=
C
8
—
9
—
9 boys
boy
—
2. There are 5 big dogs and
7 little dogs in the park.
How many dogs are in
the park in all?
—
C
—
dog
—
—
3. Mandy has 8 beads. Her
friend gives her 6 more
beads. How many beads
does she have now?
C
—
C
—
bead
dogs
C
—
—
beads
4. Hal has 11 comic books.
—
© Harcourt
comic book
C
—
—
C
—
comic books
5. Yin has 7 red pens and 10 black
pens. How many more black pens
than red pens does she have?
pen
PW14
—
C
—
—
C
—
more black pens
Practice
© Harcourt
He gives 3 comic books
away. How many comic
books does he have left?
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Lesson 3.1
Tens
Write how many ones.
Then circle each group of ten. Write how many tens.
1.
50
5
— ones ⫽ — tens
2.
— ones ⫽ — tens
3.
— ones ⫽ — tens
Problem Solving
4. Circle the two models that show the same amount.
© Harcourt
© Harcourt
Cross out the model that shows a different amount.
PW15
Practice
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Lesson 3.2
Hands On: Tens and Ones
Use Workmat 3 and . Write how many tens and ones.
Then write the number.
1.
2.
2
9
tens
ones
tens
ones
tens
ones
29
3.
4.
tens
ones
Problem Solving
Ricky has 5 bags of small
marbles and 3 big marbles.
Each bag has 10 marbles.
How many marbles does
he have?
— marbles
marble
6.
Tad has 27 cookies. How
many boxes of 10 cookies
can he make?
— boxes
How many cookies will not
be in a box?
— cookies
cookie
PW16
Practice
© Harcourt
© Harcourt
5.
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Lesson 3.3
Understand Place Value
Circle the value of the gray digit.
1.
36
3 or 30
4.
15
52
2.
50 or 5
86
5.
1 or 10
7.
72
75
8.
18
19
8 or 80
13.
85
6.
9.
38
5 or 50
30 or 3
24
2 or 20
12.
10 or 1
14.
53
3 or 30
70 or 7
11.
60
6 or 60
80 or 8
2 or 20
10.
3.
93
9 or 90
15.
67
7 or 70
Problem Solving
17. I have 8 ones and 1 ten.
What number am I?
What number am I?
© Harcourt
© Harcourt
16. I have 4 ones and 3 tens.
—
PW17
—
Practice
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Lesson 3.4
Expanded Form
Write the number in three different ways.
1.
2.
7
9
70
9
——
79
—
— tens — ones
3.
— tens — ones
——
—
4.
— tens — ones
— tens — ones
—
—
——
——
Problem Solving
5. Tyler used these blocks to model a number.
9 tens 2 ones
20 9
29
2 tens 9 ones
90 2
92
PW18
Practice
© Harcourt
© Harcourt
Circle the correct ways to write the number.
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Lesson 3.5
Read and Write Numbers to 100
Write the number.
1.
50 ⫹ 4
2. seventeen
3.
3 tens 0 ones
54
5.
4. sixty-two
80 ⫹ 1
6. ninety-nine
7.
20 ⫹ 3
8. 1 ten 8 ones
10.
30 ⫹ 9
11. fourteen
12.
5 tens 7 ones
14. seventy-one
15.
60 ⫹ 5
13. thirty-one
9. eighty
Problem Solving
16. I am a number with the digit
8 in the ones place. Which
of these numbers could
I be?
eighteen
eighty
eighty-six
PW19
17. I am a number with the
digit 3 in the tens place.
Which of these numbers
could I be?
three
thirty
thirteen
Practice
© Harcourt
© Harcourt
Circle the best answer for the riddle.
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Lesson 3.6
Different Ways to Show Numbers
Use
. Write how many tens and ones.
26
1.
16
1
— ten — ones
2.
— tens — ones
— tens — ones
— tens — ones
— tens — ones
— tens — ones
34
— tens — ones
3.
— tens — ones
42
— tens — ones
Problem Solving
© Harcourt
Use
. Draw two ways to show 37.
Write how many tens and ones for each model.
© Harcourt
4.
— tens — ones
— tens — ones
PW20
Practice
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Lesson 3.7
Skill • Make Reasonable Estimates
Circle the better estimate.
1. Will has a box filled with paper
clips. About how many paper clips
might be in the
box?
about 10 paper clips
about 100 paper clips
paper clip
2. Ms. Tapp eats eggs for breakfast.
About how many
eggs might she
eat?
about 2 eggs
about 20 eggs
egg
3. Kathy fills a bucket with marbles.
About how many
marbles might be
in the bucket?
about 5 marbles
marble
about 50 marbles
4. Ty counts the chairs in his
classroom. About
how many chairs
might there be?
about 2 chairs
about 20 chairs
chair
dogs for a walk. About how
many dogs might
they take for
a walk?
dog
PW21
© Harcourt
© Harcourt
5. Emma and her father take some
about 3 dogs
about 30 dogs
Practice
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Lesson 4.1
Algebra: Compare Numbers: >, <, or =
Write is greater than, is less than, or
is equal to. Then write ⬎, ⬍, or ⫽.
1.
2.
is greater than 21.
23 —
23
16 — 17.
> 21
C
16
HINT: Compare the tens
digits. Then compare the
ones digits if you need to.
Write is greater than, is less than,
or is equal to. Then write ⬎, ⬍, or ⫽.
3.
4.
38 — 38.
38
27 — 41.
C 38
27
5.
C 41
6.
76 — 67.
76
57 — 55.
C 67
57
C 55
Problem Solving
7. Which of the numbers in the
box could make this true?
© Harcourt
© Harcourt
C 17
61
62
70
60
61 ⬎ —
PW22
Practice
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Lesson 4.2
Order Numbers
REMEMBER:
⬎ is greater than
⬍ is less than
Compare the numbers. Write them in the
correct order. Then write ⬎ or ⬍.
1.
42
—
greatest
>
C
38
—
>
C
35
—
least
2.
—
least
C
—
C
—
greatest
Write the numbers in the correct
order. Then write ⬎ or ⬍ .
45
—
least
5.
C
18
33
—
C
—
greatest
4.
56
C
—
—
greatest
greatest
37
—
© Harcourt
C
61
46
C
6.
—
60
—
least
55
—
C
59
C
least
—
64
—
least
63
C
—
greatest
© Harcourt
3.
Problem Solving
7. Write a number in the box
8. Write a number in the box
that will make this true.
that will make this true.
41 ⬍
⬍ 44
61 ⬎
PW23
⬎ 56
Practice
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Lesson 4.3
Even and Odd Numbers
Use cubes to show the number
as tens and ones. Draw what you built.
Write even or odd.
1.
24
2.
even
——
4.
21
3.
——
5.
——
17
REMEMBER:
Build the ones in pairs.
36
35
——
6.
——
19
——
Problem Solving
7. Choose two numbers in the box that you can
add together to get an odd sum.
and —
© Harcourt
© Harcourt
—
8. Choose two numbers in the box that you can
add together to get an even sum.
—
and —
PW24
Practice
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Lesson 4.4
Algebra: Patterns on a Hundred Chart
Skip-count. Use the hundred chart to continue
the pattern. Write the missing numbers.
1
1. Count by fives.
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
20,—
30
25 ,—
5, 10, 15, —
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
40, 45, 50, —, —, —
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
2. Count by twos.
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
22, 24, 26, —, —, —
60, 62, 64, —, —, —, —, —
3. Count by threes.
27, 30, 33, —, —, —, —, —
78, 81, 84, —, —, —, —, —
Problem Solving
skip-counting backward by fours.
What should the first number in this pattern be?
Complete the pattern.
,
,
,
The first number in the pattern should be
PW25
© Harcourt
© Harcourt
4. Jared is writing a number pattern by
,4
.
Practice
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Lesson 4.5
Algebra: Skip-Count on a Number Line
Skip-count. Write the missing numbers.
Write a rule for the pattern.
1.
68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
83 , —
88
68, 73, 78, —
fives
Rule: Count by —
—.
2.
35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
35, 37, 39, —, —
Rule: Count by ——.
3.
71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91
71, 75, 79, —, —
Rule: Count by ——.
4.
12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
12, 15, 18, —, —
Rule: Count by ——.
37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
5. There are 37 people on the bus.
Each time the bus stops, 5 more
people get on. In how many stops
will there be 57 people on the bus?
— stops
PW26
Practice
© Harcourt
© Harcourt
Problem Solving
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Lesson 4.6
Problem Solving Strategy: Find a Pattern
Find the pattern. Complete the table to solve.
1. How many wings are on 6 airplanes?
number of airplanes
1
2
3
number of wings
2
4
6
There are
4
5
6
There are
wings on
each airplane.
wings on 6 airplanes.
2. How many wheels are on 5 wagons?
number of wagons
1
2
3
number of wheels
4
8
12
There are
4
5
There are
wheels on
each wagon.
wheels on 5 wagons.
Mixed Strategy Practice
Choose a Strategy
Choose a strategy to solve.
3. Matt has 6 black socks. He has
• Draw a Picture
• Write a Number Sentence
• Find a Pattern
4 white socks. How many socks
does he have in all?
socks
4. Tasha has 14 grapes. Seven
© Harcourt
© Harcourt
sock
are purple. The rest are green.
How many grapes are green?
grape
grapes
PW27
Practice
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Lesson 4.7
Algebra: Number Patterns
Use the hundred chart.
Extend the pattern.
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
1. Skip-count by fives.
41 42 43 44 45 46 47 48 49 50
4, 9, 14, 19 , 24 , 29 , 34 , 39
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
81 82 83 84 85 86 87 88 89 90
2. Skip-count by tens.
91 92 93 94 95 96 97 98 99 100
8, 18, 28,
,
,
,
,
3. Skip-count by twos.
9, 11, 13,
,
,
,
,
4. Skip-count by fives.
31, 36, 41,
,
,
,
,
,
,
,
,
5. Skip-count by tens.
15, 25, 35,
© Harcourt
6. Gene is skip-counting by tens.
7. Write the first five numbers
He starts the pattern with 26.
Will he say 86 in his pattern?
Circle yes or no.
yes
in Gene’s pattern.
no
,
PW28
,
,
,
Practice
© Harcourt
Problem Solving
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Lesson 5.1
Mental Math: Add on Multiples of Ten
Count on to add.
1.
76
36 ⫹ 40 ⫽ —
2.
54 ⫹ 20 ⫽ —
3.
27 ⫹ 30 ⫽ —
4.
78 ⫹ 20 ⫽ —
5.
14 ⫹ 50 ⫽ —
6.
35 ⫹ 30 ⫽ —
7.
17 ⫹ 10 ⫽ —
8.
43 ⫹ 40 ⫽ —
9.
21 ⫹ 40 ⫽ —
10.
46 ⫹ 50 ⫽ —
Problem Solving
11. Ben has 22 owl stickers. His friend
gives him some more. Now he has
62 owl stickers. Count on by tens.
How many owl stickers did Ben’s
friend give him?
owl sticker
© Harcourt
© Harcourt
— owl stickers
12. Jada has 16 colored markers. She
buys some more. Now she has 46
markers. Count on by tens. How
many markers did Jada buy?
marker
— markers
PW29
Practice
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Lesson 5.2
Hands On: Regrouping for Addition
Use Workmat 11 and
.
If you can make a ten, regroup.
Write how many tens and ones. Write the sum.
1. Add
23 and 9.
Workmat
Tens
3
Ones
2
32
—
— tens — ones
4. Add 65 and 3.
Workmat
Tens
Ones
2. Add 54 and 6.
Workmat
Tens
Ones
3. Add 37 and 7.
Workmat
Tens
Ones
— tens — ones
— tens — ones
—
—
5. Add 18 and 6.
Workmat
Tens
Ones
6. Add 42 and 5.
Workmat
Tens
Ones
— tens — ones
— tens — ones
— tens — ones
—
—
—
Use Workmat 11 and
to solve.
© Harcourt
© Harcourt
Problem Solving
7. Shelby sees 34 owls at the zoo. Then
she sees 9 more owls on a nature walk.
How many owls does Shelby see in all?
— owls
PW30
owl
Practice
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Lesson 5.3
Hands On: Model 2-Digit Addition
Use Workmat 11 and
.
If you can make a ten, regroup.
Write how many tens and ones. Write the sum.
1. Add
33 and 19.
2. Add 46 and 37.
3. Add 51 and 28.
Workmat
Workmat
Workmat
Tens
5
Ones
Tens
2
52
—
— tens — ones
4. Add 24 and 49.
Ones
Tens
Ones
— tens — ones
— tens — ones
—
—
5. Add 12 and 77.
6. Add 68 and 29.
Workmat
Workmat
Workmat
Tens
Ones
Tens
Ones
Tens
Ones
— tens — ones
— tens — ones
— tens — ones
—
—
—
Draw
to solve.
© Harcourt
© Harcourt
Problem Solving
7. Clara has 25 marbles. Keith has
18 marbles. How may marbles
do Clara and Keith have in all?
marble
— marbles
PW31
Practice
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Lesson 5.4
Strategy • Make a Model
Problem Solving Strategy Practice
Use Workmat 11 and
Write how many.
to make a model.
1. Eric counts 35 bats sleeping in the zoo.
He counts 17 bats eating.
How many bats does he
count in all?
— bats
bat
2. Sophie draws 29 worms.
Aldon draws 14 worms.
How many worms do
they draw in all?
worm
Mixed Strategy Practice
Choose a strategy to solve.
3. Casey has 24 strawberries. Evan has
20 more strawberries than Casey.
How many strawberries
does Evan have?
— worms
Choose a Strategy
• Make a Model
• Write a Number Sentence
• Draw a Picture
— strawberries
4. There are 7 owl books in Tim’s classroom.
© Harcourt
© Harcourt
strawberry
There are 9 owl books in the library.
How many owl books are
there altogether?
owl book
PW32
— owl books
Practice
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Lesson 5.5
Hands On: Model and Record 2-Digit Addition
Use Workmat 3 and
.
Draw the regrouping if you need to. Write the sum.
1.
2.
Workmat
Tens
Tens
Ones
1
B
Ones
Workmat
Tens
3
6
1
6
__
5
3.
Tens
Tens
Ones
B
Ones
B
2
9
4 2
__
2
4.
Workmat
Tens
Ones
Ones
Workmat
Tens
Tens
Ones
5
1
3
9
__
Ones
B
1
3
6
8
__
Problem Solving
if you need to.
© Harcourt
5. Caroline has 24 bug stickers.
Her brother has 17 bug stickers.
How many bug stickers do they
have in all?
Tens
B
Ones
__
bug sticker
— bug stickers
PW33
Practice
© Harcourt
Use Workmat 3 and
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Lesson 5.6
Hands On: 2-Digit Addition
Use Workmat 3 and
.
If there are 10 ones, regroup. Write the sum.
1.
Workmat
Tens
Tens
1
B
Ones
Ones
2.
Workmat
Tens
Ones
5
7
2
7
__
3.
Workmat
Tens
8
4
Tens
Ones
B
Ones
Workmat
Tens
Tens
4.
Workmat
Tens
B
Ones
Ones
B
Ones
2
1
3 9
__
Ones
2
1
6 5
__
5.
Tens
Tens
B
Ones
1
6
9
__
6.
Workmat
Tens
4
7
1 5
__
Ones
Tens
B
Ones
2
4
2
8
__
Draw
if you need to. Solve.
7. Ryan has 17 reptile toys.
8. There are 22 bees near the
Colin has 9 reptile toys. How
many reptile toys do they
have altogether?
— reptile toys
PW34
garden. There are 12 bees
near the pond. How many
bees are there in all?
— bees
Practice
© Harcourt
© Harcourt
Problem Solving
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Lesson 6.1
Add 2-Digit Numbers
Add. Regroup if you need to.
1.
Tens
1
B
2.
Ones
Tens
B
Ones
3
5
5
2
2
8
4 6
__
__
5.
6
3
Tens
Ones
B
6.
6
3
2 7
__
Tens
B
Ones
4
8
3 1
__
3.
Tens
B
4.
Ones
Tens
B
Ones
1
7
3 7
__
4
4
2 9
__
7.
8.
Tens
B
Ones
2
2
5 8
__
Tens
B
Ones
2
4
1 7
__
Problem Solving
Circle the problem that helps
answer the question. Solve.
9. Sidney has 17 golf balls. Charlie has 2 more golf balls
than Sidney. How many golf balls do they have in all?
© Harcourt
B
1
Ones
7
2
__
Tens
B
Ones
1
7
1 5
__
Tens
B
1
7
1 9
__
—
PW35
Ones
© Harcourt
Tens
golf balls
Practice
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Lesson 6.2
Practice 2-Digit Addition
Add. Regroup if you need to.
1.
Tens
1
B
Ones
2.
Tens
B
Ones
2
8
4
1
4
6
8
__
__
5.
7
4
Tens
Ones
B
5
7
3 2
__
6.
Tens
B
Ones
2
4
4 6
__
3.
Tens
B
4.
Ones
Tens
Ones
B
5
3
2 7
__
9
8
__
7.
8.
Tens
B
Ones
7
2
5
__
1
Tens
Ones
B
3
7
4 4
__
Problem Solving
9. There are 42 swimmers on the swim team. Some are in first
grade. Some are in second grade. Which of these could show
the number of first and second graders on the swim team?
© Harcourt
B
Ones
1
5
1 7
__
Tens
B
Ones
3
1
1 4
__
PW36
Tens
B
Ones
2
7
1 5
__
© Harcourt
Tens
Practice
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Lesson 6.3
Rewrite 2-Digit Addition
Rewrite the numbers. Then add.
1.
35 57
Tens
1
B
2.
Ones
22 19
Tens
B
3.
Ones
43 6
Tens
B
4.
16 56
Tens
Ones
B
Ones
3
5
5
7
__
__ __ __
9
5.
2
21 24
6.
52 38
7.
34 48
8.
29 7
__ __ __ __
9.
33 27
10.
19 26
11.
44 15
12.
12 29
Problem Solving
afternoon. His father hit 82 tennis balls in all. Who hit more
tennis balls?
© Harcourt
© Harcourt
13. Erik hit 36 tennis balls in the morning and 47 tennis balls in the
__
PW37
Practice
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Lesson 6.4
Estimate Sums
Look at the sum in the box.
Write ⬎ or ⬍ to make each sentence true.
10 + 50 = 60
1.
20 + 40 = 60
2.
< 60
C
> 60
11 ⫹ 50 C
C 60
20 ⫹ 42 C 60
8 ⫹ 48
70 + 20 = 90
3.
21 ⫹ 38
40 + 50 = 90
4.
C 90
68 ⫹ 18 C 90
C 90
38 ⫹ 48 C 90
73 ⫹ 20
50 + 20 = 70
5.
40 ⫹ 53
30 + 40 = 70
6.
C 70
52 ⫹ 20 C 70
C 70
30 ⫹ 39 C 70
47 ⫹ 19
32 ⫹ 42
Problem Solving
30 + 20 = 50
22
18
—
⫹ — ⬎ 50
—
⫹ — ⬍ 50
—
⫹ — ⬎ 50
—
⫹ — ⬍ 50
—
⫹ — ⬎ 50
—
⫹ — ⬍ 50
PW38
31
29
© Harcourt
Choose from the numbers on the flag to
write true sentences. Use the sum in the box
to help.
© Harcourt
7.
Practice
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Lesson 6.5
More 2-Digit Addition
Add. Regroup if you need to.
1.
1
2.
47
⫹
24
_
28
⫹
35
_
63
6.
5.
16
⫹
51
_
67
⫹
29
_
62
⫹
31
_
78
⫹
12
_
59
⫹
31
_
8.
11.
18
⫹
34
_
53
⫹ 19
_
34
⫹
52
_
22
⫹
56
_
14.
4.
7.
10.
9.
13.
3.
27
⫹
37
_
12.
23
⫹
45
_
15.
35
⫹
16
_
44
⫹
17
_
16.
78
⫹
11
_
17. The boys’ softball team has 34 balls
© Harcourt
© Harcourt
Problem Solving
and 28 mitts. The girls’ softball
team has 27 balls and 33 mitts.
How many mitts do they have in all?
— mitts
PW39
Practice
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Lesson 6.6
Problem Solving Skill: Use a Table
Use the table to solve.
Goals Scored This Season
Player
Number of Goals
Terry
Jose
Darcy
Otto
16
24
27
18
1. How many goals did Jose and
Darcy score in all?
51
— goals
1
2
+ 2
4
7
5
1
2. How many goals did Terry and
Otto score in all?
— goals
3. Which two players scored 45 points
and
© Harcourt
© Harcourt
in all?
4. Which two players scored 40 goals in all?
Add to check your answer.
and
PW40
Practice
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Lesson 6.7
Algebra: Break Apart Numbers to Add
Break apart the addends. Find the sum.
15
1.
10 5
—
—
47
40 7
—
? Add the tens. — — —
Add the ones. — — —
—
How many in all? — — —
So, 15 + 47 —.
23
2.
—
— 58
—
? Add the tens. — — —
—
Add the ones. — — —
How many in all? — — —
So, 23 58 —.
35
3.
—
—
—
—
19
—
? Add the tens. — — —
—
Add the ones. — — —
How many in all? — — —
4. Eric has 23 soccer stamps and some
© Harcourt
© Harcourt
So, 35 19 —.
football stamps. He has 60 stamps in all.
How many football stamps does he have?
—
football stamps
PW41
stamp
Practice
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Lesson 7.1
Mental Math: Subtract Multiples of Ten
Count back to subtract.
1.
25
45 ⫺ 20 ⫽ —
2.
63 ⫺ 30 ⫽ —
3.
58 ⫺ 10 ⫽ —
4.
42 ⫺ 30 ⫽ —
5.
37 ⫺ 20 ⫽ —
6.
75 ⫺ 40 ⫽ —
7.
86 ⫺ 50 ⫽ —
8.
49 ⫺ 10 ⫽ —
9.
81 ⫺ 40 ⫽ —
10.
77 ⫺ 50 ⫽ —
11.
53 ⫺ 40 ⫽ —
12.
93 ⫺ 20 ⫽ —
Problem Solving
Chandra has 37 red beads.
Julia gives 30 red beads to Chandra.
How many red beads does each child
have now?
© Harcourt
© Harcourt
13. Julia has 55 red beads.
bead
Julia: — red beads
Chandra: — red beads
PW42
Practice
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Lesson 7.2
Hands On: Regrouping for Subtraction
Use Workmat 11 and
. Regroup if you need to.
Write how many tens and ones. Write the difference.
1. Subtract 6 from
22.
15.
Workmat
Tens
Ones
6
16
—
1
2. Subtract 4 from
— tens — ones
4. Subtract 8 from
45.
36.
Workmat
Tens
Ones
Tens
Ones
Workmat
Tens
Ones
— tens — ones
— tens — ones
—
—
5. Subtract 5 from
52.
Workmat
3. Subtract 7 from
6. Subtract 3 from
31.
Workmat
Tens
Ones
Workmat
Tens
Ones
— tens — ones
— tens — ones
— tens — ones
—
—
—
Use Workmat 11 and
to solve.
© Harcourt
© Harcourt
Problem Solving
7. Jason has 25 rubber stamps. Trisha has
7 fewer rubber stamps than Jason. How
many rubber stamps does Trisha have?
— rubber stamps
PW43
rubber stamp
Practice
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Lesson 7.3
Hands On: Model 2-Digit Subtraction
Use Workmat 11 and
. Regroup if you need to.
Write how many tens and ones. Write the difference.
1. Subtract 24 from
43.
65.
Workmat
Tens
Ones
9
19
—
1
2. Subtract 17 from
— tens — ones
4. Subtract 15 from
33.
56.
Workmat
Tens
Ones
Tens
Ones
Workmat
Tens
Ones
— tens — ones
— tens — ones
—
—
5. Subtract 46 from
6. Subtract 19 from
68.
Workmat
3. Subtract 27 from
47.
Workmat
Tens
Ones
Workmat
Tens
Ones
— tens — ones
— tens — ones
— tens — ones
—
—
—
Draw
to solve.
© Harcourt
© Harcourt
Problem Solving
7. Ava has 42 sequins. She gives
14 sequins to Beth. How many sequins
does Ava have left?
— sequins
PW44
sequins
Practice
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Lesson 7.4
Strategy • Make a Model
Problem Solving Strategy Practice
Use Workmat 11 and
Write how many.
to make a model.
1. Juan has 52 moon shapes. He has
38 heart shapes. How many more
moon shapes does
he have than heart
shapes?
moon shape
—
more moon shapes
2. There are 45 paintbrushes in a cup.
Dennis takes 28 paintbrushes out
of the cup. How
many paintbrushes
are left in the cup?
paintbrush
—
paintbrushes
3. Laura has 47 stickers. Chad has
9 fewer stickers than Laura. How
many stickers does
Chad have?
Go
!
You
sticker
—
stickers
some pieces of blue yarn in a box.
There are 61 pieces
of yarn altogether.
How many pieces
of blue yarn are in
the box?
yarn
PW45
© Harcourt
© Harcourt
4. There are 37 pieces of red yarn and
—
pieces of blue yarn
Practice
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Lesson 7.5
Hands On: Model and Record 2-Digit Addition
Use Workmat 3 and
.
Draw the regrouping if you need to. Write the difference.
1.
2.
tens
Ones
tens
B B
Workmat
Tens
ones
Workmat
Tens
3
1
6
__
3.
Ones
ones
B B
2
3
5
__
4.
tens
Workmat
Tens
Ones
ones
B B
tens
Workmat
Tens
6
5
7
__
Ones
ones
B B
4
8
9
__
Problem Solving
Use Workmat 3 and
if you need to.
3 paintbrushes to one group of students
and 5 paintbrushes to another group.
How many paintbrushes does he have left?
tens
ones
B B
__
__
paintbrush
—
paintbrushes
PW46
Practice
© Harcourt
© Harcourt
5. Mr. Thome has 24 paintbrushes. He gives
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Lesson 7.6
Hands On: Subtract 2-Digit Numbers
Use Workmat 3 and
.
Regroup if you need to. Write the difference.
1.
Tens
4
18
B
B
Workmat
Tens
Ones
Ones
5
8
Tens
Ones
2.
Tens
Workmat
Tens
Ones
Workmat
Tens
Ones
B B
Tens
Workmat
Tens
Ones
4.
Ones
B B
Tens
Workmat
Tens
6
4
2
2
__
5.
B B
3
5
1
7
__
1
9
__
3
9
3.
Ones
Ones
6.
B B
7
6
3
9
__
Tens
Workmat
Tens
Ones
4
5
1
6
__
Ones
Ones
B B
5
7
2
4
__
Use Workmat 3 and
if you need to.
7. Jack models a problem.
He starts with 5 ones and 6 tens.
He has 2 tens and 7 ones left.
What problem did he solve?
PW47
Tens
Ones
B B
__
Practice
© Harcourt
© Harcourt
Problem Solving
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Lesson 8.1
2-Digit Subtraction
Use Workmat 3 and
1.
Tens
Ones
2.
7 B
12
B
. Subtract.
Tens
3.
Ones
Tens
Ones
4.
B B
B B
Tens
Ones
B B
3 8
7 1
8
6 4
/ 2/
3
7
5
1
5
2 2
__
__
__
__
5.
4
5
Tens
Ones
6.
B B
Tens
7.
Ones
Tens
Ones
8.
B B
B B
Tens
Ones
B B
5 7
4 2
9 3
2 8
4
8
1
7
4
7
9
__
__
__
__
9.
Tens
Ones
10.
B B
Tens
Ones
11.
B B
Tens
Ones
B B
12.
Tens
Ones
B B
8 0
4 6
5 1
3 4
3
3
2
8
1
4
5
__
__
__
__
Use Workmat 3 and
to solve.
13. Jodi and Sean each put 12 rubber balls
into a bag. Then Tyler takes 18 rubber balls
out of the bag. How many rubber balls are
in the bag now?
rubber balls
PW48
© Harcourt
© Harcourt
Problem Solving
rubber ball
Practice
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Lesson 8.2
Practice 2-Digit Subtraction
Subtract. Regroup if you need to.
1.
Tens
Ones
5
/
7
/
2.
Tens
Ones
3.
B B
17
4 B
B
Tens
Ones
B B
4.
Tens
Ones
B B
8 3
4 5
2
5
2
7
__
__
9 2
6
4
__
6.
8.
2
9
__
2 8
5.
Tens
Ones
B B
3
Tens
Ones
7.
B B
Tens
Ones
B B
6 4
5 8
3
6
2
8
2
1
__
__
__
Tens
Ones
B B
7 0
2
6
__
Problem Solving
Circle the problem that will help you
answer the question. Then solve.
9. Joe has 34 buttons.
Tens
Ones
Tens
Ones
Tens
Ones
Paul has 2 more
buttons than Joe.
Andy has 17 fewer
3 6
3 4
1 7
buttons than Paul. 1
7 1
7 __
2
__
__
How many buttons
does Andy have?
PW49
B B
B B
Practice
© Harcourt
© Harcourt
B B
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Lesson 8.3
Rewrite 2-Digit Subtraction
Rewrite the numbers. Then subtract.
45 27
1.
Tens
Ones
4
/
5
/
1
8
2.
84 56
Tens
Ones
Tens
91 43
6.
B B
75 38
Tens
Ones
2
7 __
__
__
5.
66 49
4.
B B
B B
B
3 B
15
37 14
3.
48 15
7.
Ones
B B
__
63 36
8.
B B
B B
B B
__
__
__
__
82 43
9.
10.
B B
55 17
28 19
11.
40 21
12.
B B
B B
B B
__
__
__
__
Problem Solving
13.
Tens
Ones
4 B
15
B
__
2
8
14.
Tens
Ones
5 B
12
B
__
1
PW50
6
15.
Tens
Ones
7 B
12
B
__
3
9
Practice
© Harcourt
© Harcourt
Write the missing numbers.
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Lesson 8.4
More 2-Digit Subtraction
Subtract. Regroup if you need to.
1.
2.
3.
4.
4 16
56
//
39
_
17
5.
72
59
_
47
35
_
6.
92
25
_
7.
52
23
_
11.
44
22
_
53
15
_
13.
8.
36
17
_
10.
9.
85
54
_
12.
76
38
_
14.
74
46
_
63
28
_
16.
15.
68
29
_
60
33
_
90
24
_
81
57
_
Problem Solving
6 more toy cars than Derek. Abby
has 13 fewer toy cars than Mandy.
How many toy cars does Abby have?
toy car
© Harcourt
© Harcourt
17. Derek has 24 toy cars. Mandy has
toy cars
PW51
Practice
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Lesson 8.5
Use Addition to Check Subtraction
Subtract. Add to check.
1
1.
6 12
72
//
ⴚ26
2.
46
ⴙ
46
3.
44
ⴚ15
26
ⴙ
5.
86
ⴚ48
ⴙ
33
ⴚ24
ⴙ
6.
21
ⴚ7
ⴙ
7.
ⴙ
8.
75
ⴚ39
ⴙ
72
4.
35
ⴚ18
63
ⴚ38
ⴙ
9.
40
ⴚ3
ⴙ
Solve. Then use addition to check your answer.
10. Taylor had 42 train track pieces. She built
a train track. She has 24 pieces left. How
many pieces did Taylor use to build
the track?
ⴚ
© Harcourt
© Harcourt
Problem Solving
ⴙ
pieces
PW52
Practice
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Lesson 8.6
Estimate Differences
Look at the difference in the box.
Then write > or < to make each sentence true.
1.
80 ⫺ 40 ⫽ 40
80 ⫺ 37
80 ⫺ 42
3.
40
4.
80 ⫺ 22
80 ⫺ 19
6.
20
20
60 ⫺ 10 ⫽ 50
60 ⫺ 8
60 ⫺ 11
60
60
20
20
50 ⫺ 30 ⫽ 20
50 ⫺ 27
50 ⫺ 34
40
40
80 ⫺ 20 ⫽ 60
70 ⫺ 50 ⫽ 20
70 ⫺ 49
70 ⫺ 51
> 40
60 ⫺ 20 ⫽ 40
60 ⫺ 22
60 ⫺ 17
5.
2.
50
50
Problem Solving
7. Write numbers in the blanks to make true
sentences. Use the difference in the box to help.
90 ⫺
⬎ 30
90 ⫺
⬍ 30
90 ⫺
⬎ 30
90 ⫺
⬍ 30
90 ⫺
⬎ 30
90 ⫺
⬍ 30
PW53
Practice
© Harcourt
© Harcourt
90 ⫺ 60 ⫽ 30
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Lesson 8.7
Problem Solving Skill: Use a Table
Use the table to answer the questions.
Shirts in a Store
Color
Number of Shirts
blue
45
green
54
yellow
27
red
36
1. How many more blue shirts
than yellow shirts are in the
store?
more blue shirts
2. The green shirts and red
shirts are all on one shelf.
How many shirts are on
that shelf?
shirts
shirts. How many blue
shirts are left in the store?
blue shirts
4. How many more green
shirts than red shirts
are in the store?
more green shirts
PW54
Practice
© Harcourt
© Harcourt
3. The store sells 18 blue
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Lesson 8.8
Mental Math: Find Differences
Add the same number
to both numbers.
1.
64 36 ?
64
4
68
2.
85 48 ?
85
36
4
40
48
3.
51 17 ?
51
17
Subtract.
68 40 28
So,
64 36 28
So,
85 48 So,
51 17 Use mental math to solve.
4. Isak has 28 trading cards. He needs
42 trading cards to make a set.
How many more trading cards
does he need to make a set?
© Harcourt
© Harcourt
Problem Solving
more trading cards
trading card
PW55
Practice
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Lesson 8.9
Mixed Practice
Find the sum or difference.
1.
33
⫹
12
_
45
2.
64
⫺
47
_
3.
25
⫹
57
_
4.
83
⫺
36
_
5.
46
⫹
34
_
6.
81
⫺ 17
_
7.
42
⫺ 21
_
8.
12
⫹
67
_
9.
61
+
29
_
10.
72
⫺
28
_
11.
29
⫹ 41
_
12.
52
⫺
39
_
13.
31
⫺
12
_
14.
64
⫺
18
_
15.
49
⫹
22
_
16.
75
⫺
48
_
17.
43
⫹ 19
_
18.
22
⫹
35
_
19.
32
⫺
9
_
20.
67
⫹ 15
_
Problem Solving
Then they took 9 crayons out of the box and
put them into a bucket. How many crayons
were left in the box?
crayon
© Harcourt
© Harcourt
21. Kinzy and Ezra each put 22 crayons in a box.
crayons
PW56
Practice
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Lesson 9.1
Picture Graphs
Use the picture graph to answer the questions.
Books on Ben’s Bookshelf
mystery
fiction
biography
Key: Each
stands for 1 book.
1. How many mystery books are on Ben’s bookshelf?
3
mystery books
2. How many more fiction books than
biography books are on Ben’s bookshelf?
more fiction books
3. How many books are on Ben’s bookshelf in all?
books
Use the picture graph above.
4. Ben put some science books on
his bookshelf. He put twice as
many science books as mystery
and biography books together.
How many science books did
he put on the bookshelf?
PW57
© Harcourt
© Harcourt
Problem Solving
science books
Practice
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Lesson 9.2
Take a Survey on a Tally Chart
1. Take a survey. Ask 10
Our Favorite Figures
classmates which figure
is their favorite. Use tally
marks to show their answers.
Figure
Tally
square
circle
triangle
2. Draw
in the picture graph to show the information in the tally chart.
Our Favorite Figures
square
circle
triangle
stands for 1 child.
Problem Solving
Our Favorite Sandwiches
© Harcourt
3. Mason wants to ask 12
classmates which sandwich
is their favorite. Look at the
results he has recorded. How
many more classmates does
he need to ask?
Sandwich
Tally
ham
© Harcourt
Key: Each
turkey
peanut butter
more classmates
PW58
Practice
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Lesson 9.3
Read a Bar Graph
Numbers of Pages
Use the bar graph to answer the questions.
10
9
8
7
6
5
4
3
2
1
0
Pages Read Last Week
REMEMBER:
Look at where
each bar ends.
Luke Maggie Max Olivia
Children
Olivia
1. Who read the most pages?
2. Who read the fewest pages?
3. How many more pages did Olivia
read than Maggie?
more pages
4. How many pages did the children
read in all?
pages
Use the bar graph to answer the questions.
Write true or false.
© Harcourt
© Harcourt
Problem Solving
5. Olivia read 2 fewer pages than Max.
6. Maggie read the same number
of pages as Luke.
7. Luke read 1 more page than Max.
PW59
Practice
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Lesson 9.4
Make a Bar Graph
1. Use the picture to complete the table.
Then shade the bars in the graph to show the data.
Figures
Figure Number
square
3
triangle
Number
Figures
circle
6
5
4
3
2
1
0 square triangle
Use the bar graph to answer the questions.
2. How many triangles are there ?
circle
Figures
triangles
3. How many circles are there ?
4. How many figures are not squares ?
5. How many more triangles than
squares are there?
circles
figures
more triangles
Problem Solving
pieces of fruit
PW60
apples
pears
plums
0 1 2 3 4 5 6
Number
Practice
© Harcourt
Fruit in the Fruit Bowl
in a fruit bowl. If 4 more
plums are added to the
bowl, how many pieces
of fruit will there be in all?
Fruit
© Harcourt
6. This bar graph shows fruit
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Lesson 9.5
Strategy • Make a Bar Graph
dogs
cats
fish
hamsters
0
1
2
3 4 5 6 7
Number of Children
Use the bar graph to answer the question.
2. How many children did not choose dogs?
Mixed Strategy Practice
9
children
Choose a Strategy
3. Sam has 27 dominoes.
• Find a Pattern
• Draw a Picture
• Make a Model
His friend Jake gives him 9
more. How many dominoes
does Sam have now?
© Harcourt
8
© Harcourt
Animals
Addie took a survey of her classmates’ favorite pets.
8 classmates chose dogs, 4 chose cats, 6 chose fish,
and 3 chose hamsters.
1. Complete the bar graph to show the information.
Then write a title for the bar graph.
dominoes
4. The first number in a number
pattern is 12. A rule for the
pattern is count by 3s. What
is the fourth number in the
pattern?
PW61
Practice
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Lesson 9.6
Pictographs
Use the pictograph to answer the questions.
HINT:
How many groups
of 2 children chose
each month?
Our Favorite Months
January
April
August
November
Key: Each
stands for 2 children.
1. How many children chose April?
10
children
2. Which month did the fewest children choose?
3. How many more children chose August than January?
more children
4. How many children voted altogether?
children
Problem Solving
classmates to find their
favorite juice. Complete
his pictograph to show
this information.
4 chose apple.
8 chose grape.
10 chose orange.
Favorite Juice
© Harcourt
© Harcourt
5. Jamie surveyed his
apple
grape
orange
Key: Each
PW62
stands for 2 children.
Practice
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Lesson 9.7
Range and Mode
Use the line plot to answer the questions.
✗
✗
✗
✗
✗
✗
✗
✗
3
4
✗
✗
✗
✗
✗
✗
✗
Each x on the line
plot stands for
one child.
✗
5
6
7
8
Number of Markers
9
1. How many children have 3 markers?
3
children
2. How many children have 5 markers?
children
3. Write a number sentence to find the range of the data.
C
C
4. What is the mode of the data?
The mode of the data is
.
© Harcourt
5. Karen’s class made a line plot
of the number of pets each
student has. How many
students have more
than 1 pet?
✗
✗
✗
1
students
PW63
✗
✗
✗
✗
✗
✗
✗
© Harcourt
Problem Solving
✗
✗
2
3
4
Number of Pets
Practice
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Lesson 10.1
Dimes, Nickels, and Pennies
Count coins to find the total value.
1.
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
2.
3.
4.
Problem Solving
© Harcourt
© Harcourt
5. Draw two ways to make 15¢.
PW64
Practice
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Lesson 10.2
Half Dollars and Quarters
Count coins to find the total value.
1.
,
,
,
,
,
2.
,
,
,
,
,
,
,
3.
,
,
4.
,
,
,
,
Problem Solving
total value of 70¢. One coin is a
half dollar. Draw the coins she
may have.
PW65
© Harcourt
© Harcourt
5. Sarah has some coins with a
Practice
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Lesson 10.3
Count Collections
Draw and label coins from greatest to least value. Write the total value.
1.
81¢
2.
3.
Problem Solving
Then write the other money amounts correctly.
99¢
¢47
15¢
33
¢5
81¢
2¢4
73
PW66
© Harcourt
© Harcourt
4. Circle the money amounts that are written correctly.
Practice
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Lesson 10.4
Hands On: Make the Same Amounts
Use coins. Show the value in two ways.
Draw and label each coin.
1.
36¢
2.
65¢
3.
78¢
4.
© Harcourt
© Harcourt
40¢
Problem Solving
5. Mariel has three coins with
a total value of 60¢. What coins
could she have? Draw and label
the coins.
PW67
Practice
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Lesson 10.5
Strategy • Make a List
Problem Solving Strategy Practice
Make a list to solve.
1. Annie has 57¢. What are some different ways to show how much
money she has using dimes, nickels, and pennies?
Dimes
Nickels
Pennies
Total Value
5
1
2
57¢
Mixed Strategy Practice
Choose a Strategy
• Make a List
• Find a Pattern
• Draw a Picture
Choose a strategy to solve.
2. Dora is trading nickels for pennies.
number of nickels
1
number of pennies
5
2
3
4
5
pennies
3. Dean has 10 marbles. He gets 5 more.
How many marbles does he have now?
marbles
PW68
Practice
© Harcourt
© Harcourt
She trades 1 nickel for 5 pennies.
She has 5 nickels.
How many pennies should she get for 5 nickels?
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Lesson 11.1
Compare Amounts
Write the total value of each group.
Then write >, <, or =.
1.
42¢ > 32¢
2.
Problem Solving
© Harcourt
© Harcourt
3.
4. Sandra buys a rose for 1 half dollar
and 1 dime. She buys a daisy for
2 quarters and 1 nickel. Circle
the flower that costs more money.
rose
rose
daisy
daisy
PW69
Practice
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Lesson 11.2
Strategy • Act It Out
Problem Solving Strategy Practice
Use coins to act out a problem. Draw the coins.
Write the total value. Then answer the question.
1. Donna has 1 quarter, 2 dimes,
and 3 nickels. Does she have
enough to buy the pen?
pen
2. Jay has 1 half dollar and 2
nickels. Does he have enough
to buy the toy duck?
toy duck
Mixed Strategy Practice
Choose a Strategy
•
•
•
© Harcourt
3. Jill has 2 quarters, 2 dimes,
and 2 nickels. She gets 3
more nickels. How much
money does she have?
Act It Out
Make a List
Draw a Picture
© Harcourt
Choose a strategy to solve.
4. Nate has 1 quarter and 1 dime.
He wants to change his coins
for nickels. How many nickels
should he get?
nickels
PW70
Practice
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Lesson 11.3
Add and Subtract Money
Add or subtract to solve.
1. Teri has 42¢. Her mom
gives her 19¢.
Now Teri has
.
2. Noah has 75¢. He gives his
brother 25¢.
Now Noah has
.
3. Jen has 38¢. She finds 15¢.
Now Jen has
.
4. Juan has 87¢. He spends 39¢.
Now Juan has
.
5. Todd has 94¢. He buys some
juice for 56¢.
.
Problem Solving
© Harcourt
© Harcourt
Now Todd has
6. Marie takes 22¢ from her coin
bank. Now she has 49¢ left. How
much money did she start with?
PW71
Practice
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Lesson 11.4
Strategy • Predict and Test
Problem Solving Strategy Practice
Make a prediction and check it to solve.
52¢
alligator
39¢
lion
19¢
giraffe
63¢
elephant
1. Dee has 68¢. Which two toys
can she buy?
2. Terry has 91¢. Which two
toys can he buy for exactly
that amount?
Mixed Strategy Practice
Choose a Strategy
•
•
•
© Harcourt
3. Diego has 7 nickels and 15
dimes. How many coins does
Diego have in all?
Predict and Test
Make a Model
Draw a Picture
coins
4. Elsa has 32 pennies. Paul
has 29 pennies. How many
pennies do they have in all?
PW72
pennies
Practice
© Harcourt
Choose a strategy to solve.
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Lesson 11.5
One Dollar
Circle coins to make $1.00.
Cross out the coins you do not use.
1.
2.
© Harcourt
© Harcourt
3.
Problem Solving
4. Keisha has $1.00 in her bag.
She has 2 of one kind of coin.
She has 1 of another kind of coin.
Draw the coins she has.
PW73
Practice
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Lesson 11.6
Make Change to $1.00
Count on from the price to find the change.
1. You have
You buy
84¢
chalk
2. You have
85¢
,
90¢
,
Your change is
$1.00
16¢ .
You buy
38¢
pencil
3. You have
,
,
Your change is
.
You buy
53¢
notepad
4. You have
,
,
Your change is
.
You buy
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
centimeters
© Harcourt
70¢
,
Your change is
,
.
Problem Solving
5. Meg buys a pencil for 60¢. She pays
with 3 coins and gets 15¢ change. Draw
the 3 coins Meg used to buy the pencil.
PW74
Practice
© Harcourt
ruler
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Lesson 12.1
Identify Solid Figures
Use the solid
figures to help you
remember.
Circle the objects that have the same shape.
Cross out the objects that do not belong.
Name the solid figures you circled.
sphere
rectangular
prism
pyramid
cylinder
cube
cone
1
1.
3 2
cube
2.
3.
4.
Problem Solving
It is not a cylinder. Circle the figure Jane drew.
PW75
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© Harcourt
5. Jane drew a solid figure. It is not a cube.
Practice
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Lesson 12.2
14.2
Hands On: Sort Solid Figures
Write yes or no to tell about the surfaces of each object.
Object
1.
flat
surfaces
no
curved
surfaces
yes
both flat
and curved
surfaces
no
2.
3.
5.
1
4.
3 2
6.
Problem Solving
Find the figure that answers the riddle. Then write the name of the figure.
7. I have only a curved surface.
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© Harcourt
Circle me. Which shape am I ?
8. I have only flat surfaces. Draw
an X through me. Which shape
am I?
PW76
Practice
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Lesson 12.3
Hands On: Attributes of Solid Figures
edge
face
vertex
Use solid figures. Complete the table.
Write how many.
1.
solid
figure
faces
edges
vertices
2.
rectangular
prism
3.
4.
pyramid
cube
rectangular
prism
6
12
8
Problem Solving
6. Clark has 2 solid figures. His
figures. Each solid figure has
the same number of edges.
What solids does Wen have?
figures have 10 faces in all.
What solids does Clark have?
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© Harcourt
5. Wen has two different solid
PW77
Practice
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Lesson 12.4
14.5
Hands On: Make Plane Shapes
from Solid Figures
Use solid figures.
Circle the solid figure the faces make.
1.
2.
pyramid
cube
cylinder
3.
rectangular
prism
cone
cube
rectangular
prism
pyramid
cube
4.
pyramid
sphere
cube
Problem Solving
© Harcourt
© Harcourt
Circle the solid figure that this will make if you fold it and tape it together.
5.
PW78
Practice
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Lesson 12.5
Strategy • Make a Table
Problem Solving Strategy Practice
Name and complete the table. Then add to solve.
1. Tasha is making three pyramids. How many triangles does she need
to make these three figures?
Tasha needs
triangles.
2. Andy is making three cubes. How many squares does he need to
make these three figures?
squares.
Mixed Strategy Practice
Choose a Strategy
Choose a strategy to solve.
• Make a Table
• Draw a Picture
• Make a List
3. Juanita wants to make five cylinders.
How many circles will she need to
make these five solid figures?
Juanita will need
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© Harcourt
Andy needs
circles.
PW79
Practice
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Lesson 13.1
Identify Plane Figures
triangle square circle rectangle
Color the figures.
1. Color the rectangles
gray.
2. Color the triangles red.
3. Color the circles green.
4. Color the squares
yellow.
5. Color the triangles
orange.
6. Color the squares pink.
7. Color the rectangles
purple.
8. Color the circles brown.
Problem Solving
9.
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© Harcourt
Trace the figures. Write how many.
10.
—
triangles
—
PW80
rectangles
Practice
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Lesson 13.2
Sort Plane Figures
Write a title to describe each group of
plane figures.
1.
2.
3.
4.
Problem Solving
© Harcourt
© Harcourt
Write true or false for each sentence.
5. A rectangle has fewer than 4 vertices.
6. A square has 4 sides and 4 vertices.
7. A triangle has more than 2 vertices.
8. A rectangle has 3 sides and 4 vertices.
PW81
Practice
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Lesson 13.3
Combine Plane Figures
Use pattern blocks. Combine sides of figures to
make a new figure. Trace the new figure.
1.
2.
3.
4.
Problem Solving
,
, and
.
© Harcourt
© Harcourt
5. Circle a figure you can make using
PW82
Practice
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Lesson 13.4
Separate Plane Figures
Use paper figures. Fold to make three new figures.
Cut along the folds. Trace the new figures.
1.
2.
3.
4.
© Harcourt
© Harcourt
Problem Solving
5. Jeff wants to make a plane
figure. He uses 2 colors of
pattern blocks. Draw and color
a figure that Jeff could make.
PW83
Practice
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Lesson 13.5
Problem Solving Strategy: Use Logical Reasoning
Use logical reasoning to solve.
Cross out the figures that do not fit the information.
Circle the figure that answers the question.
1. I am a plane figure.
I have 3 vertices.
Which figure am I?
2. I am a plane figure.
I have more than 3 sides.
I have fewer than 5 vertices.
Which figure am I?
Mixed Strategy Practice
Choose a strategy to solve.
3. Sheila has 2 quarters and
1 dime. Her sister gives
her 3 nickels and a penny.
How much money does Sheila
have now?
Choose a Strategy
•
•
•
Use Logical Reasoning
Draw a Picture
Act it Out
¢
nickels. Her sister gives her
some quarters. Now she has 12
coins in all. How many quarters
did her sister give her?
© Harcourt
© Harcourt
4. Doris has 3 pennies and 5
quarters
PW84
Practice
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Lesson 13.6
Congruent Figures
Draw a figure congruent to the figure shown.
1.
2.
3.
4.
Problem Solving
5. Cross out the figures that are not congruent
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© Harcourt
to the gray figure.
PW85
Practice
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Lesson 14.1
Equal Parts
Write how many equal parts. Then write if these parts are halves,
thirds, or fourths.
1.
2.
3
3.
equal parts
equal parts
equal parts
thirds
4. Which shapes are
divided into halves?
Color them red.
5. Which shapes are
divided into fourths?
Color them yellow.
6. Which shapes are
not divided into
equal parts?
Draw an X on them.
Problem Solving
© Harcourt
© Harcourt
7. Randy and three friends want
to share a sandwich equally.
Draw lines to show how the
sandwich should be divided.
PW86
Practice
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Lesson 14.2
Unit Fractions
Write how many equal parts there are.
Write the fraction that names the shaded part.
1.
of the whole is shaded
equal parts
2.
of the whole is shaded
equal parts
Color one part green.
Write the fraction that names the green part.
3.
4.
5.
7.
8.
1
6
Problem Solving
© Harcourt
© Harcourt
6.
9. Cassie is making a quilt.
She colors 1_ of the quilt
4
gray. Circle the picture
that could be her quilt.
PW87
Practice
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Lesson 14.3
Compare Unit Fractions
Color the fraction strips to show the fractions.
Compare. Circle the greater fraction.
1.
1
_
6
1
_
3
2.
1
___
10
1
_
2
3.
1
_
4
1
___
12
4.
1
_
8
1
_
3
5. Maria has a slice of pizza
that is _1 of the pizza. Ben
© Harcourt
© Harcourt
Problem Solving
6
has a slice of pizza that
is 1_3 of the pizza. Maria’s slice
is bigger. Draw pizzas to show
how this is possible.
PW88
Practice
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Lesson 14.4
Problem Solving Strategy:
Make a Model
Shade to make a model. Then solve.
1. Two banners are the same
size. Mae paints _14 of one
banner. Sally paints 1_ of the
6
other. Who paints
more banner?
banner
2. Two apples are the same size.
Pauline eats _14 of one apple.
Margie eats 1_ of the other.
3
Who eats more apple?
apple
3. Two sandwiches are the
same size. Bo eats _14 of one
sandwich. Kate eats 1_ of
2
the other. Who eats more
sandwich?
4. Two hot dogs are the same
size. Amy eats 1_3 of one
hot dog. Jane eats 1_ of the
© Harcourt
© Harcourt
sandwich
6
other. Who eats more
hot dog?
hot dog
PW89
Practice
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Lesson 14.5
Other Fractions
Write the fraction for the shaded part of the whole.
1.
b
b
2.
3.
b
b
b
b
_
_
_
Color to show the fraction.
4.
7.
4
_
8
_2
3
2
_
6
5.
6.
_1
2
8.
9.
3
_
4
7
__
10
Problem Solving
2
10. Jack colored _3 of his poster.
© Harcourt
© Harcourt
Color the pictures to solve.
Marin wants to color the same
amount of her poster. How
many parts of her poster
should Marin color?
Jack’s
poster
parts
PW90
Marin’s
poster
Practice
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Lesson 14.6
Fractions Equal to 1
Count the equal parts. Write a fraction for the whole.
1.
b
b
2.
b
b
_ = 1 whole
_ = 1 whole
Write a fraction for the shaded part.
3.
b
b
b
b
4.
_
5.
b
b
b
b
_
6.
_
_
Problem Solving
© Harcourt
He cut one pizza into 3 equal parts. He cut
the other pizza into 8 equal parts.
Write a fraction for each whole pizza.
b
b
b
b
_
_
PW91
Practice
© Harcourt
7. Trent made 2 pizzas that are the same size.
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Lesson 14.7
Fractions Greater Than 1
Write the fraction.
1. There are 7 children. Each
child has _1 of a waffle. What
4
fraction names the amount
of waffle the children have
in all?
2. There are 7 children. Each
child has _1 of a pizza. What
6
1
6
fraction names the amount
of pizza the children have
in all?
3. There are 5 children. Each
child has 1_ of an apple.
3
1
4
1
4
1
4
1
4
1
4
1
4
1
6
1
6
1
6
1
6
1
3
What fraction names the
amount of apple the
children have in all?
1
6
1
3
1
4
1
6
_
_
1
3
1
3
1
3
4. There are 9 children. Each
child has 1_ of a melon.
1
6
1
6
1
6
6
What fraction names the
amount of melon the
children have in all?
1
6
1
6
1
6
1
6
7
b
4
b
b
b
b
b
b
b
_
1
6
1
6
_
Problem Solving
same size. She divides each
muffin into fourths. What
fraction names the amount
of muffin she has in all?
b
b
_
PW92
© Harcourt
© Harcourt
5. Ellie has 3 muffins that are the
Practice
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Lesson 15.1
Equal Parts of a Group
Circle to show equal parts. Then write if the gray
part is one half, third, or fourth of the group.
1. 2 equal parts
One half
group is gray.
2. 3 equal parts
of the
3. 4 equal parts
One
group is gray.
One
group is gray.
of the
4. 2 equal parts
of the
One
group is gray.
of the
Problem Solving
One fourth of her flowers are blue.
Draw Cleo’s flowers.
PW93
© Harcourt
© Harcourt
Harcourt
5. Cleo has 8 flowers.
Practice
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Lesson 15.2
Unit Fractions of a Group
Circle to show equal parts.
Color to show the fraction.
1. 2 equal parts
2. 3 equal parts
1
_
2
1
_
3
3. 5 equal parts
4. 4 equal parts
1
_
5
1
_
4
5. 6 equal parts
6. 12 equal parts
1
_
6
1
___
12
7. Some marbles are in a sack.
1
_ of the marbles are green.
© Harcourt
© Harcourt
Problem Solving
8
Draw a picture to show the
marbles in the sack.
PW94
Practice
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Lesson 15.3
Other Fractions of a Group
What fraction of the group are gray?
What fraction of the group are black?
1.
2
_ of the group are gray.
_ of the group are black.
3
2.
_ of the group are gray.
_ of the group are black.
_ of the group are gray.
_ of the group are black.
3.
Problem Solving
Draw a picture to solve, if you need to.
5. Mark has 2 blue blocks, 2 red
4 red buttons, and 4 blue
buttons. What fraction of her
buttons are green?
blocks, 2 green blocks and
2 white blocks. What fraction
of his blocks are not blue?
_ of the buttons
are green.
_ of the blocks are
not blue.
PW95
Practice
© Harcourt
© Harcourt
4. Lydia has 4 green buttons,
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Lesson 15.4
Problem Solving Strategy:
Make a Model
Shade the squares to make a model.
Write is greater than or is less than.
1. Greg and Jeff each have
5 hats. _25 of Greg’s
hats are gray. 4_ of Jeff’s
5
hats are gray. Who has more
gray hats?
2
_
5
4
_
is less than
5.
Jeff has more gray hats.
2. Lucy and Alix each have
6 ribbons. _36 of Lucy’s
ribbons are pink. 2_ of Alix’s
6
ribbons are pink. Who has
more pink ribbons?
3
_
6
2
_
6.
has more pink ribbons.
3. Cam and Bo each have 8
crayons. _58 of Cam’s
crayons are red. 6_ of
8
Bo’s crayons are red.
Who has more
red crayons?
5
_
8
6
_
8.
4. Roy and Liz each have
5 grapes. _45 of Roy’s
grapes are green. 3_ of
© Harcourt
© Harcourt
has more red crayons.
5
Liz’s grapes are green.
Who has more
green grapes?
4
_
5
3
_
5.
has more green grapes.
PW96
Practice
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Lesson 16.1
Hundreds
REMEMBER:
Write how many hundreds. Then write
how many tens. Write the number.
⫽
1 hundred ⫽ 10 tens
1.
40
4
— hundreds ⫽ — tens
400
—
2.
— hundreds ⫽ — tens
—
3.
— hundreds ⫽ — tens
—
4.
— hundreds ⫽ — tens
—
5.
— hundreds ⫽ — tens
—
6. Luis has 600 cubes. He
7. Nava has 30 sticks of 10
wants to make sticks of
10 cubes. How many can
he make?
cubes. How many cubes
does she have in all?
—sticks of 10 cubes
PW97
— cubes
Practice
© Harcourt
© Harcourt
Problem Solving
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Lesson 16.2
Hundreds, Tens, and Ones
Write how many hundreds, tens, and ones.
Then write the number.
1.
hundreds
tens
ones
2
3
6
hundreds
tens
ones
236
—
2.
—
3.
hundreds
tens
ones
—
4.
hundreds
tens
ones
—
Problem Solving
hundred. What number am I?
—
6. I have 6 ones, 1 ten, and
4 hundreds. What number
am I?
—
PW98
Practice
© Harcourt
© Harcourt
5. I have 8 ones, 3 tens, and 1
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Lesson 16.3
Understand Place Value
Circle the value of the gray digit.
426
1.
400
40
256
3.
2
20
300
200
30
3
800
80
900
10
90
9
4
40
90
200
800
20
2
380
11.
900
80
120
8.
689
9
8
400
100
518
5.
417
10.
8
1
795
7.
803
9.
4
4.
536
6.
617
2.
300
30
3
12. Dinah is making a Venn diagram.
© Harcourt
Where should she write the other
numbers in the diagram?
Numbers with a
3 in the Ones Place
Numbers with a
6 in the Hundreds Place
153
PW99
153
649
673
783
613
602
Practice
© Harcourt
Problem Solving
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Lesson 16.4
Read and Write 3-Digit Numbers
Read the number. Write the number in different ways.
three hundred fifty-six
1.
3
6
5
— hundreds — tens — ones
300
50
356
—
6
—⫹—⫹—
2.
five hundred twenty-nine
— hundreds — tens — ones
—⫹—⫹—
—
Write the number another way.
3. nine hundred sixty-one
4.
—
5.
581
—
600 ⫹ 70 ⫹ 5
6.
—
4 hundreds 9 tens 0 ones
—
7. Chloe has all of these blocks.
© Harcourt
© Harcourt
Problem Solving
Circle blocks that she could use
to show four hundred seventeen.
PW100
Practice
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Lesson 16.5
Different Ways to Show Numbers
Use
.
Write how many hundreds, tens, and ones.
1.
325
3
1
15
— hundreds — tens — ones — hundreds — tens — ones
2.
413
— hundreds — tens — ones — hundreds — tens — ones
3.
562
— hundreds — tens — ones — hundreds — tens — ones
Problem Solving
show 160? Circle them.
© Harcourt
© Harcourt
4. How many tens are needed to
— tens
PW101
Practice
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Lesson 16.6
Skill • Make Reasonable Estimates
Circle the better estimate.
1. Each one of Matt’s brothers
about 10 socks
and sisters is wearing 2 socks.
About how many socks might
they be wearing in all?
about 100 socks
sock
2. Eliza carries some books to
about 6 books
the library. About how many
books might she be carrying?
about 60 books
book
3. There are 5 second grade
about 1,000 children
classes in Rajae’s school.
About how many children
might be in second grade?
about 100 children
children
4. Diana puts some oranges into
about 8 oranges
orange
5. Trent fills a jar with pennies.
about 80 oranges
about 30 pennies
About how many pennies
might be in the jar?
penny
PW102
about 300 pennies
Practice
© Harcourt
© Harcourt
a bag. About how many
oranges might she put into
the bag?
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Lesson 16.7
Count Bills and Coins
REMEMBER:
Use a dollar sign ($) and a
decimal point (.) to write
money amounts.
Count on. Write the amount.
1. Julio has 3 quarters, 1 nickel,
and 1 penny. How much
money does he have?
HINT:
If there are no
dollars, write 0.
$0.81
2. Van has 3 dollar bills, 3 dimes,
and 2 pennies. How much
money does he have?
3. Cassandra has 2 dollar bills,
2 quarters, and 1 dime. How
much money does she have?
4. Jim made these price
tags. Cross out the prices
that have the $ or the ¢ in
the wrong place.
PW103
2.97$
$1.82
¢63
30¢
Practice
© Harcourt
© Harcourt
Problem Solving
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Lesson 16.8
Strategy • Make a Model
Use bills and coins to make a model.
1. Raji has 2 dollar bills, 1 quarter, 3 dimes, and 1
nickel. He wants to buy a ball that costs $1.35.
Draw two ways that he can pay the exact amount.
ball
2. Dakota has 2 dollar bills, 4 quarters, 2 dimes, and
1 nickel. She wants to buy a card that costs $2.75.
Draw two ways she can pay the exact amount.
card
3. Kiran has 3 dollar bills, 1 quarter, 4 dimes, and 2
kite
© Harcourt
© Harcourt
nickels. She wants to buy a kite that costs $3.50.
Draw two ways that she can pay the exact amount.
PW104
Practice
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Lesson 17.1
Algebra: Compare Numbers: >, <, or =
REMEMBER:
Compare the
hundreds first.
Write is greater than, is less than,
or is equal to. Then write ⬎, ⬍, or ⫽.
2.
is less than 321.
222
222
3.
331
5.
4.
131.
205
C 131
6.
140
C 216
C 143
210.
—
205
216.
143.
—
143
—
216
© Harcourt
< 321
C
—
331
216
143
—
C 210
137.
—
140
C 137
Problem Solving
7.
There are 700 red flowers and 600 yellow flowers in the garden.
Show how to compare the number of red and yellow flowers.
—
C
—
PW105
Practice
© Harcourt
1.
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Lesson 17.2
Use Place Value to Compare Numbers
Compare. Write ⬎, ⬍, or ⫽.
1.
< 875
C
298 C 298
319 C 991
793 C 739
2.
873
4.
7.
10.
C 526
615 C 516
431 C 432
168 C 168
3.
426
5.
8.
11.
C 703
304 C 334
818 C 818
329 C 239
730
6.
9.
12.
Problem Solving
Look at the pattern of shaded numbers. Use place value to describe
how the numbers change.
501 502 503 504 505 506 507 508 509 510
14.
501 502 503 504 505 506 507 508 509 510
511 512 513 514 515 516 517 518 519 520
511 512 513 514 515 516 517 518 519 520
521 522 523 524 525 526 527 528 529 530
521 522 523 524 525 526 527 528 529 530
531 532 533 534 535 536 537 538 539 540
531 532 533 534 535 536 537 538 539 540
541 542 543 544 545 546 547 548 549 550
541 542 543 544 545 546 547 548 549 550
—
—
—
—
—
—
PW106
Practice
© Harcourt
© Harcourt
13.
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Lesson 17.3
Compare Money Amounts
Write each amount.
Then write who has the greater amount.
1.
Leah’s money
Skip’s money
Who has the
greater amount?
Tracy’s money
Who has the
greater amount?
Quiana’s money
Who has the
greater amount?
2.
Chuck’s money
3.
C.J.’s money
© Harcourt
© Harcourt
$1.20
4. Dylan has 1 dollar bill, 2 dimes, and
2 pennies. Beata has 5 quarters.
Katie has 1 dollar bill and 4 nickels.
Who has the least amount of money?
PW107
Practice
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Lesson 17.4
Order Numbers
Compare the numbers. Write them in the correct order. Then write
⬎ or ⬍.
1.
—
C
—
C
—
C
—
C
303 < 313 < 315
least
greatest
—
2.
least
—
greatest
Write the numbers in the correct order.
Then write ⬎ or ⬍ .
166
—
351
407
—
—
C C
greatest
5.
873
—
972
C C
—
274
740
6.
760
750
—
—
least
C C
552
255
—
least
greatest
© Harcourt
4.
—
—
least
least
greatest
C C
—
525
—
greatest
© Harcourt
3.
Problem Solving
7.
Write a number in the box
that will make this true.
141 ⬍
8.
b ⬍ 146
Write a number in the box
that will make this true.
879 ⬍
PW108
b ⬍ 901
Practice
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Lesson 17.5
Skill • Read a Table
Use the table to answer the questions.
412
daisies
418
sunflowers
349
tulips
396
lilies
420
Compare. Are there more
tulips or sunflowers in the
garden?
2.
C
396 > —
349
There are more tulips
—
in the garden.
3.
—
© Harcourt
C
—
There are fewer —
in the garden.
—
Of which flower are there the
fewest in the garden?
4.
———
5.
Compare. Are there fewer
daisies or roses in the
garden?
Of which flower are there the
most in the garden?
———
Look at the number of lilies, tulips, and daisies. Write these numbers
in order from greatest to least.
—
C
—
PW109
C
—
Practice
© Harcourt
1.
roses
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Lesson 18.1
Mental Math: Add On Multiples of 100
Count on to add.
1.
432 ⫹ 300 ⫽
3.
732
2.
345 ⫹ 200 ⫽
218 ⫹ 500 ⫽
4.
159 ⫹ 300 ⫽
5.
439 ⫹ 200 ⫽
6.
298 ⫹ 400 ⫽
7.
371 ⫹ 300 ⫽
8.
534 ⫹ 100 ⫽
9.
659 ⫹ 200 ⫽
10.
240 ⫹ 400 ⫽
11.
175 ⫹ 300 ⫽
12.
499 ⫹ 500 ⫽
Problem Solving
13. There are 162 books about cats in
the library. There are 462 books
about dogs in the library. How many
more books about dogs than books
about cats are in the library?
more books about dogs
PW110
© Harcourt
© Harcourt
book
Practice
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Lesson 18.2
Model 3-Digit Addition: Regroup Ones
Use workmat 5 and
1. Hundreds Tens
1
B
Ones
6
1
. Add.
2. Hundreds Tens
B
Ones
3. Hundreds Tens
B
Ones
5
2
4
5
1
6
3
1
9
1
3
7 ___
3
4
8 4
2 3
___
___
6
4. Hundreds Tens
B
Ones
5. Hundreds Tens
B
Ones
6. Hundreds Tens
B
Ones
3
4
8
4
6
5
6
2 7
6
4
1
1
1
7 2
5 9
___
___
___
7. Hundreds Tens
B
Ones
8. Hundreds Tens
B
Ones
9. Hundreds Tens
B
Ones
2
4
9
3
5
4
5
4 6
5
3
4
1
3
2 3
4 9
___
___
___
Problem Solving
119
236
485
326
332
526
© Harcourt
© Harcourt
10. Circle the pairs of addends that you would regroup ones when you add.
348
133
751
284
PW111
Practice
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Lesson 18.3
Model 3-Digit Addition: Regroup Tens
Use workmat 5 and
1.
Hundreds
Tens
1
B
B
. Add.
Ones
2.
Hundreds
Tens
B B
Ones
3.
Hundreds
Tens
B B
Ones
1
6 5
4
9
3
5
8
4
2
7
6 5
4
3 3
5 2
___
___
___
4.
7
6
9
Hundreds
Tens
Ones
B B
5.
Hundreds
Tens
B B
Ones
6.
Hundreds
Tens
B B
Ones
5
7
2
6
3
1
1
6
7
2
6
3 1
7 5
3
7
4 ___
___
___
7.
Hundreds
Tens
Ones
B B
8.
Hundreds
Tens
B B
Ones
9.
Hundreds
Tens
BB
Ones
1
2
4
2
6 3
3
3
5
4
9 5
2
8
1 4
9
6 ___
___
___
Problem Solving
10. Circle the problem that was solved correctly.
Hundreds
Tens
1
1
B
B
Ones
if you need to.
Hundreds
Tens
1
B
B
Ones
Hundreds
Tens
1
BB
Ones
1
5
8
4
5
2
2
8
9
3
7
1 ___
2
9
6 3
5
3
___
___
5
3
9
7
4
PW112
8
5
4
2
Practice
© Harcourt
© Harcourt
Use Workmat 5 and
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Lesson 18.4
Practice 3-Digit Addition
Add.
1.
2.
1
218
325
_
3.
641
78
_
4.
278
15
_
492
347
_
543
5.
6.
856
8
_
9.
7.
318
429
_
10.
872
36
_
13.
1 95
513
_
11.
608
82
_
14.
289
55
_
8.
374
27
_
12.
532
235
_
15.
377
142
_
795
67
_
16.
817
4
_
541
59
_
Problem Solving
has double that many stickers. How many
bear stickers do they have in all?
© Harcourt
© Harcourt
17. Chandra has 146 bear stickers. Daniela
bear sticker
bear stickers
PW113
Practice
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Lesson 18.5
Estimate Sums
Estimate. Then add.
200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 370 380 390 400
1
1.
4.
200
380 400
_
610 600
230
310
290
_
7.
280
3.
220
_
370
390
_
8.
320
390
_
5.
210
370
_
2.
270
6.
320
_
330
380
9.
230 _
290
_
Problem Solving
to add together. She estimated
the sum to be about 500. Write
two numbers that she might
have chosen.
346
221
368
395
283
and
PW114
Practice
© Harcourt
© Harcourt
10. Betsy chose two of these numbers
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Lesson 18.6
Skill • Too Much Information
Circle the information you need. Draw a line through the information
you do not need. Solve.
1. There are 54 snow monkeys in
the zoo. There are 38 lions and
79 gibbon monkeys in the zoo.
How many monkeys
are in the zoo?
snow monkey
1
54
+ 79
_
133
133 monkeys
2. There are 129 small dolphin toys
and 145 large dolphin toys in a toy
store. There are 112 small tiger toys.
How many dolphin toys are
in the store?
dolphin toy
dolphin toys
3. There are 156 sheep sleeping in the
meadow. There are 118 sheep
playing and 135 sheep
eating. How many sheep
are sleeping or eating?
sheep
sheep
Monday. She feeds 85 sea lions
and 38 otters on Tuesday.
How many animals
does she feed
on Tuesday?
seal
PW115
© Harcourt
© Harcourt
4. A zoo worker feeds 92 seals on
animals
Practice
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Lesson 19.1
Mental Math: Subtract Multiples of 100
THINK: How many hundreds
should you count back?
Count back to subtract.
1.
283
583 ⫺ 300 ⫽ —
2.
821 ⫺ 400 ⫽ —
3.
719 ⫺ 200 ⫽ —
4.
394 ⫺ 200 ⫽ —
5.
528 ⫺ 400 ⫽ —
6.
672 ⫺ 300 ⫽ —
7.
460 ⫺ 200 ⫽ —
8.
809 ⫺ 500 ⫽ —
9.
932 ⫺ 500 ⫽ —
10.
629 ⫺ 200 ⫽ —
11.
583 ⫺ 300 ⫽ —
12.
744 ⫺ 400 ⫽ —
13.
309 ⫺ 200 ⫽ —
14.
486 ⫺ 400 ⫽ —
15. Sari has 441 photographs. She gives some
of the photographs to her sister. Now she
has 141 photographs. How many
photographs does Sari give to her sister?
© Harcourt
© Harcourt
Problem Solving
photograph
— photographs
PW116
Practice
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Lesson 19.2
Hands On: Model 3-Digit Subtraction:
Regroup Tens
Use workmat 5 and
1. Hundreds Tens
Ones
B B
B
7 12
. Subtract.
2. Hundreds Tens
Ones
B B B
4
8
2
7
9
3
2
3
5
5
6
7
___
___
2
4
7
4. Hundreds Tens
Ones
B B B
5. Hundreds Tens
Ones
B B B
9
4
5
8
5
9
4
2
8 ___
7
3
5
___
7. Hundreds Tens
Ones
B B B
8. Hundreds Tens
Ones
B B B
4
5
4
8
8
2
2
1
7 ___
4
3
5
___
3. Hundreds Tens
Ones
B B B
5
9
1
3
2
4
___
6. Hundreds Tens
Ones
B B B
3
9
2
1
4
6
___
9. Hundreds Tens
Ones
B B B
5
4
8
2
2
9
___
© Harcourt
© Harcourt
Problem Solving
10. Jill has some blue marbles and some red
marbles. She has 139 red marbles. She
has 284 marbles in all. Does she have
more blue marbles or red marbles?
PW117
marble
Practice
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Lesson 19.3
Hands On: Model 3-Digit Subtraction:
Regroup Hundreds
Use workmat 5 and
1. Hundreds Tens
Ones
13 B
4 B
B
. Subtract.
2. Hundreds Tens
Ones
B B B
3. Hundreds Tens
Ones
B B B
5
7
7
4
8
4
9
/ 3/ 6
1 8
4 ___
2 8 1
4 7 7
___
___
3
5
2
4. Hundreds Tens
Ones
B B B
5. Hundreds Tens
Ones
B B B
6. Hundreds Tens
Ones
B B B
9
8
6
9
5
8
5
4
7
7 9 5 ___
6 9 7
2 6 2
___
___
7. Hundreds Tens
Ones
B B B
8. Hundreds Tens
Ones
B B B
9. Hundreds Tens
Ones
B B B
© Harcourt
© Harcourt
8
2
5
8
1
5
6
6
3
1 3 2 ___
6 4 3 ___
3 7 1
___
PW118
Practice
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Lesson 19.4
Practice 3-Digit Subtraction
Subtract.
1.
4 14
754
ⴚ218
_
2.
529
36
_
3.
315
183
_
_
4.
872
644
_
53 6
5.
944
36
_
6.
725
153
_
_
7.
293
8
_
8.
567
259
_
9.
683
_
51
_
10.
417
283
_
11.
359
27
_
12.
495
68
_
13.
456
172
_
_
14.
339
42
_
15.
972
448
_
16.
784
559
_
Problem Solving
first stop, 134 people get off the train.
At the second stop, 46 people get off
the train. How many people do not get
off the train at the first or second stop?
© Harcourt
© Harcourt
17. There are 257 people on a train. At the
people
train
PW119
Practice
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Lesson 19.5
Add and Subtract Money
Add or subtract to solve.
2 12
Maria has 3 dollar bills and 1
quarter. She spends $1.35.
1.
$1.90.
Now Maria has —
$3
/.2/ 5
- $ 1.3 5
$ 1.9 0
2. Jana has $5.37. Her sister
gives her 3 quarters.
Now Jana has —.
Brett has 2 dollar bills, one
quarter, and 2 dimes. He
borrows 55¢ from Tim.
3.
Now Brett has —.
Darla has 4 dollars and 3
dimes. She spends $1.12.
4.
Problem Solving
5.
Tara buys an apple and a peach.
She gives the clerk 2 dollar bills.
How much change does Tara get?
Price List
Name Price
orange
apple
peach
$0.40
$0.50
$0.65
———
PW120
Practice
© Harcourt
© Harcourt
Now Darla has —.
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Lesson 19.6
Skill • Solve Multistep Problems
Do one step at a time. Add or subtract.
STEP 1
2.
© Harcourt
3.
4.
Cleo has $4.50. She buys a
bracelet that costs $1.25 and
a necklace that costs $2.45.
How much
money does
she have left?
bracelet
1
$ 1.2 5
+ $ 2.45
$ 3.70
Kendra buys 2 cups of mango
tea. Each cup costs $2.25.
She also buys a snack that
costs $1.75.
How much
does she
spend in all?
tea
Darin and Jack each have
$1.85. They buy a crepe to
share for $2.50. How much
money do
they have
together now?
crepe
—
—
—
Colby has $6.55. She buys
a beret that costs $4.70.
How much more does she
need to buy a
scarf that
costs $3.65?
beret
© Harcourt
1.
STEP 2
—
PW121
Practice
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Lesson 19.7
Estimate Differences
Estimate. Then subtract.
500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 700
5 17
2.
3.
678
//
687
700
⫺ 582 ⫺ 600 _
_
⫺ 515 ⫺
96
100
⫺ 507
_
4.
6.
5.
697
⫺ 618
_
691
⫺
7.
694
© Harcourt
⫺ 520
_
⫺
⫺ 568
_
⫺
9.
686
597
⫺
⫺
685
8.
⫺ 512
_
592
⫺ 509
_
⫺
⫺ 502
_
⫺
Problem Solving
Use the number line above if you need to.
10. Alan made a subtraction problem with two of
these numbers. He estimated the difference
to be about 200. Which two numbers might
he have used?
and
PW122
684
625
583
622
519
Practice
© Harcourt
1.
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Lesson 20.1
Skip-Count Equal Groups
Draw equal groups. Skip-count to find how
many in all. Write how many in all.
12 in all
1. 4 groups of 3
3
6
,
9
,
12
,
in all
2. 3 groups of 2
,
,
in all
3. 5 groups of 3
,
,
,
,
in all
4. 3 groups of 6
,
Problem Solving
© Harcourt
© Harcourt
,
Draw equal groups to solve.
5. Shayna has 3 baskets.
There are 6 balls of yarn
in each basket. How many
balls of yarn are there in all?
balls of yarn
PW123
Practice
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Lesson 20.2
Connect Addition to Multiplication
Draw equal groups. Write the addition sentence.
Write the multiplication sentence.
1. 4 groups of 3
4 3 12
3 3 3 3 12
2. 2 groups of 5
3. 5 groups of 2
Problem Solving
Write a number sentence that matches each picture. Use multiplication
if you can.
© Harcourt
5.
© Harcourt
4.
PW124
Practice
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Lesson 20.3
Algebra: Model with Arrays
Use . Color the array to show how many.
Write the multiplication sentence.
1. 5 rows of 3
2. 2 rows of 6
5 ⫻ 3 ⫽ 15
4. 6 rows of 4
⫻
⫻
3. 3 rows of 6
⫽
⫻
5. 3 rows of 3
⫽
⫻
⫽
6. 5 rows of 5
⫽
⫻
⫽
Problem Solving
7. Make an array that shows a
8. Make a different array that
is not a rectangle. Write the
number sentence.
© Harcourt
© Harcourt
rectangle. Write the number
sentence.
⫻
⫽
⫻
PW125
⫽
Practice
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Lesson 20.4
Algebra: Multiply in Any Order
Multiply in any order.
The product is the same.
Write how many.
Write the multiplication sentence.
1.
2 rows of 4
⫽
rows of
⫻
⫽
rows of
⫻
⫽
rows of
⫻
⫽
⫻
2.
Problem Solving
3. How many different arrays can you make with 12
?
© Harcourt
© Harcourt
Color the grids to show your work.
⫻
⫽
⫻
⫽
⫻
PW126
⫽
⫻
⫽
Practice
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Lesson 20.5
Problem Solving Strategy Practice:
Write a Number Sentence
Draw a picture to solve.
Write a number sentence.
1. Mario has 7 boxes. He puts 2
erasers in each box. How many
erasers are there in all?
eraser
erasers
C
C
C
C
2. There are 9 girls on the
playground. There are 8 boys
on the playground. How many
children are on the playground?
children
© Harcourt
Mixed Strategy Practice
Choose a strategy to solve.
3. Jenna has 3 quarters, 2 nickels
and 4 pennies. She buys some
juice for 63¢. How much money
does she have left?
Choose a Strategy
• Write a Number Sentence
• Draw a Picture
• Use Logical Reasoning
© Harcourt
children
4. Benson is thinking of a number.
His number is even. It is greater
than 16 and less than 20. What
number is Benson thinking of?
PW127
Practice
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Lesson 20.6
Multiply with 2
Skip-count by twos to find the product.
1.
2.
82
3.
72
16
You can multiply in any order.
The product is the same
Write the product.
4.
5
2
_
5.
2
4
_
6.
2
7
_
7.
2
3
_
8.
6
2
_
9.
3
2
_
10.
2
6
_
11.
2
8
_
12.
2
5
_
13.
2
9
_
14.
2
7
_
15.
4
2
_
16.
6
2
6 2
_
_
18.
5
2
5 _
2
_
17.
2
7
7
2 _
_
19.
8
2
2
8 _
_
Problem Solving
20. Devorah has 2 baskets. She
puts 6 shirts into each basket.
How many shirts does she
put in the baskets?
shirt
PW128
© Harcourt
© Harcourt
92
shirts
Practice
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Lesson 20.7
Multiply with 5
Skip-count by fives to find the product.
1.
2.
75
35
3.
95
85
You can multiply in any order.
The product is the same.
Write the product.
4.
2
5
_
5.
6
5
_
6.
4
5
_
7.
5
1
_
8.
5
3
_
9.
5
5
_
10.
5
8
_
11.
3
5
_
12.
5
7
_
13.
5
9
_
14.
5
4
_
15.
5
2
_
16.
9
5
5 _
9
_
17.
6
5 18. 2
5 19. 5
7
7 _
6
5 _
5
2
5 _
_
_
_
20. A pentagon has 5 vertices. A triangle has
3 vertices. Are there the same number of
vertices in 5 triangles as there are in
3 pentagons?
PW129
© Harcourt
© Harcourt
Problem Solving
triangle
pentagon
Practice
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Lesson 20.8
Multiply with 10
Skip-count by tens to find the product.
1.
3.
2.
5 rows of 10
7 rows of 10
6 rows of 10
5 10 50
7 10 6 10 Write the product.
4.
10.
10
4
_
10
7
_
5.
11.
6
10
_
10
1
_
6.
12.
5
10
_
10
8
_
7.
3
10
_
13.
10
6
_
8.
14.
4
10
_
10
3
_
9.
10
8
_
15.
10
10
_
Problem Solving
Write a multiplication sentence to tell how many cents in all.
© Harcourt
© Harcourt
16.
cents
PW130
Practice
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Lesson 20.9
Use a Multiplication Table
Use the multiplication table to find the product.
1.
5
4
_
2.
7
2
_
3.
10
3
_
X
7.
6
10
_
5
9
_
0 1 2 3 4 5 6 7 8 9 10
0
20
4.
1
2
5.
8.
8
5
_
2
5
_
6.
9.
The product is found where
the row and column meet.
2
3
_
3
4
5
10
1
_
2
5
10
2 4 6 8 10 12 14 16 18 20
6
15
30
8
20
40
5 10 15 20 25 30 35 40 45 50
6
12
30
60
7
14
35
70
8
16
40
80
9
18
45
90
10
10 20 30 40 50 60 70 80 90
10.
6
5
_
11.
2
10
_
12.
6
2
_
13.
5
5
_
14.
10
4
_
15.
10
8
_
16.
5
10
_
17.
7
5
_
18.
9
2
_
19.
2
8
_
20.
7
10
_
21.
5
3
_
Problem Solving
Write a multiplication sentence to tell
how many water bottles there are in all.
© Harcourt
© Harcourt
22.
water bottles
PW131
Practice
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Lesson 21.1
Size of Shares
Use Workmat 6 and . Draw to show your work.
Write how many in each group.
1. Divide 12
into 3 equal
2. Divide 8
groups.
groups.
in each group
3. Divide 10
into 2 equal
in each group
4. Divide 14
groups.
groups.
in each group
5. Divide 18
into 2 equal
into 3 equal
in each group
6. Divide 15
groups.
into 5 equal
groups.
in each group
© Harcourt
4
into 4 equal
in each group
Problem Solving
7. Mr. Carr divides 6 meatballs into 3 bowls.
He wants to have 3 meatballs in each bowl.
How many more meatballs does he need?
more meatballs
PW132
Practice
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Lesson 21.2
Number of Equal Shares
Use
. Draw to show your work.
Write how many equal groups.
1. Divide 8
into groups of 2.
4
2. Divide 15
groups
into groups of 5.
groups
3. Divide 14
into groups of 2.
groups
4. Divide 20
into groups of 4.
groups
Problem Solving
Use
. Draw to show your work.
© Harcourt
5. Mrs. Rodriguez takes 5 children to the
fair. She has $12. She wants to give
each child some money for rides.
Can she give each child $3?
PW133
Practice
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Lesson 21.3
Equal Shares with Remainders
Use Workmat 6 and . Draw to show your work.
Write how many groups and the remainder.
1. Divide 10
into groups of 4.
2
remainder
3. Divide 12
2. Divide 13
into groups of 3.
groups
groups
2
remainder
into groups of 6.
4. Divide 15
into groups of 4.
groups
remainder
groups
remainder
© Harcourt
Problem Solving
5. Barry has 11 toy cars. He gives
some of his friends 3 cars
each. He has 2 cars left over.
How many friends get cars?
friends
PW134
Practice
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Lesson 21.4
Connect Subtraction to Division
Use a number line. Count back by equal groups.
Write how many times you subtracted.
1. Divide 10 into equal groups of 2.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18
14 ⫼ 7 ⫽
2. Divide 14 into equal groups of 7.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18
3. Divide 18 into equal groups of 6.
0
1
2
3
4
5
6
7
8
1
2
3
4
5
6
7
8
18 ⫼ 6 ⫽
9 10 11 12 13 14 15 16 17 18
4. Divide 12 into equal groups of 3.
0
5
10 ⫼ 2 ⫽
12 ⫼ 3 ⫽
9 10 11 12 13 14 15 16 17 18
Write a number sentence to show your answer.
5. A ribbon is 15 feet long.
Mr. Yates cuts pieces that
are 3 feet long to give to some
children. How many children
get pieces of the ribbon?
© Harcourt
© Harcourt
Problem Solving
⫼
⫽
children
PW135
Practice
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Lesson 21.5
Strategy • Write a Number Sentence
Draw a picture to solve. Then write a number sentence.
1. There are 16 children in
Mrs. McGraw’s class. They
form 2 lines, with the same
number in each line.
How many children
are in each line?
8
children
child
16
2. Zoe has 12 pennies. She puts
@
C
2
=
C
8
them in equal stacks. There are
3 pennies in each stack. How
many stacks does she make?
penny
3. Benny plants 18 seeds in rows.
He plants 6 seeds in each row.
How many rows of seeds does
he plant?
© Harcourt
rows
seed
4. Kai has 15 baseball cards.
He puts his cards into 5 equal
groups. How many baseball
cards are in each group?
baseball cards baseball
card
PW136
C
C
C
C
C
C
© Harcourt
stacks
Practice
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Lesson 22.1
Measure Length with Nonstandard Units
Use
. Measure the real object.
Find the object.
Measure.
pencil
1.
about
cubes
about
cubes
about
cubes
about
cubes
folder
2.
tape
3.
glue
4.
Choose two objects. Estimate the length of each by comparing them to
the objects you have just measured.
5. Object:
6. Object:
Estimate: about
cubes
Estimate: about
cubes
Measure: about
cubes
Measure: about
cubes
PW137
Practice
© Harcourt
© Harcourt
Problem Solving
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Lesson 22.2
Compare Nonstandard Units
Units of Measure
Measure the length of the real
object with paper clips and
with straws.
paper clip
straw
desk
1.
about
paper clips
about
straws
about
paper clips
about
straws
about
paper clips
about
straws
book
2.
doorway
3.
4. This rope is about 12 beads long.
© Harcourt
© Harcourt
Problem Solving
About how many paper clips long is the rope?
about
PW138
paper clips
Practice
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Lesson
Lesson 22.3
17.2
Measure to the Nearest Inch
REMEMBER:
Line up one end of
the object with the zero
mark on the ruler.
Measure the length to the nearest inch.
1.
Measure: about
inches
Measure: about
inches
Measure: about
inches
Measure: about
inches
2.
3.
4.
Problem Solving
5. Use the 1-inch mark. Estimate the length
of each ribbon.
© Harcourt
© Harcourt
1 inch
Estimates:
black ribbon: about
white ribbon: about
PW111
PW139
National
inches
inches
Practice
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Lesson 22.4
Problem Solving Skill: Make Reasonable Estimates
1. The toy train is about 6 inches long. Circle the
best estimate for the length of the toy car.
1 inch
3 inches
4 inches
2. The leaf is about 4 inches long. Circle the
best estimate for the length of the bug.
1 inch
2 inches
4 inches
3. The string is about 3 inches long. Circle the
best estimate for the length of the bracelet.
5 inches
7 inches
4. The yarn is about 2 inches long. Circle
© Harcourt
© Harcourt
3 inches
the best estimate for the length of the craft stick.
3 inches
4 inches
6 inches
PW140
Practice
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Lesson
Lesson22.5
8.3
Measure in Inches and Feet
Measure in inches. Then measure in feet.
Find the real object.
Measure.
bulletin board
1.
about
inches
about
feet
about
inches
about
feet
teacher’s desk
2.
Circle the better estimate.
3. stapler
4. poster
about 7 inches
about 3 inches
about 7 feet
about 3 feet
6. chalk
5. desk
about 2 feet
about 4 feet
about 2 inches
about 4 inches
Circle the best estimate.
7. About how long is a pencil?
© Harcourt
© Harcourt
Problem Solving
8. About how tall is a door?
about 6 inches
about 17 feet
about 16 inches
about 7 feet
about 6 feet
about 7 inches
PW141
Practice
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Lesson
Lesson 22.6
17.5
Measure to the Nearest Centimeter
Measure the length to the nearest centimeter.
1.
Measure: about
centimeters
Measure: about
centimeters
Measure: about
centimeters
Measure: about
centimeters
2.
3.
4.
Problem Solving
5. About how much longer is the
6. If you put the marker and the
pencil than the craft stick?
chalk end to end, about how
many centimeters long would
they be together?
centimeters longer
PW142
National
centimeters
Practice
© Harcourt
© Harcourt
Use your measurements above to solve.
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Lesson 23.1
Hands On: Ounces and Pounds
Find the object.
1.
Choose the
unit.
Measure.
pencil
ounce
about — —
pound
2.
dictionary
ounce
about — —
pound
3.
backpack
ounce
about — —
pound
4.
eraser
ounce
about — —
pound
© Harcourt
5.
Find a pair of boots.
Measure the weight of
the boots in ounces
and in pounds.
6.
Find a set of dominoes.
Measure the weight of the
set of dominoes in ounces
and in pounds.
—
ounces
—
ounces.
—
pounds
—
pounds.
PW143
Practice
© Harcourt
Problem Solving
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Lesson 23.2
Hands On: Grams and Kilograms
Find the object.
1.
Choose the
unit.
Measure.
jumprope
gram
about — —
kilogram
2.
encyclopedia
gram
about — —
kilogram
3.
rubber band
gram
about — —
kilogram
4.
geoboard
gram
about — —
kilogram
5. One nickel has a mass of about 5 grams.
Marshall has some nickels in his pocket
that equal 20¢. Which is the better estimate
of the mass of his coins? Circle it.
about 10 grams
© Harcourt
© Harcourt
Problem Solving
about 20 grams
PW144
Practice
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Lesson 23.3
Hands On: Cups, Pints, Quarts, and Gallons
Circle the better unit of measure for the
capacity of the container.
1.
juice glass
2.
cup
gallon
milk carton
3.
gallon
gallon
pint
cup
pint
pitcher
4.
thermos
5.
bathtub
cup
aquarium
6.
quart
quart
gallon
quart
Problem Solving
Circle the better answer.
Abby is using a 1 cup container to fill the
vase with water. The vase holds 8 cups.
She will only fill the vase halfway. How
much water will be in the vase when
Abby is finished?
about 1 pint
© Harcourt
© Harcourt
7.
about 1 quart
PW145
Practice
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Lesson 23.4
Hands On: Liters
Estimate how much the container can hold.
Circle more than 1 liter or less than 1 liter.
ladle
1.
2.
bucket
3. measuring cup
more than 1 liter
more than 1 liter
more than 1 liter
less than 1 liter
less than 1 liter
less than 1 liter
soap bottle
4.
5.
soup can
6.
sink
more than 1 liter
more than 1 liter
more than 1 liter
less than 1 liter
less than 1 liter
less than 1 liter
Problem Solving
Think about some containers
in your classroom. What
container might hold more
than 1 liter? Draw and label
the container.
© Harcourt
© Harcourt
7.
—
PW146
Practice
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Lesson 23.5
Skill • Make Reasonable Estimates
Circle the better estimate.
1.
Fiona is pouring a glass
of milk. About how much
milk might she pour?
about 2 cups
about 20 cups
3.
4.
© Harcourt
5.
Charlie is holding a
basketball. What might
the weight of the
basketball be?
about 1 ounce
about 1 pound
Molly wants to fill the
bathtub with water. About
how much water might it
hold?
about 1 liter
about 50 liters
Henry picks up his
trumpet to begin playing.
What might the mass
of the trumpet be?
about 2 grams
about 2 kilograms
Adele makes a pitcher of
fruit punch for her friends.
About how much might
the pitcher hold?
about 2 quarts
about 20 quarts
PW147
Practice
© Harcourt
2.
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Lesson 24.1
Explore 1 Minute
About how long will it take?
Circle the better choice.
1. walk the dog
more than 1 minute
less than 1 minute
2. kick a ball
more than 1 minute
less than 1 minute
3. snap your fingers
more than 1 minute
less than 1 minute
4. eat lunch
more than 1 minute
less than 1 minute
Problem Solving
6. Izzy solves 1 math problem in
seconds. Jill drinks her juice
in 1 minute. Who takes less
time to drink her juice?
10 seconds. She wants to solve
5 math problems. Will this take
more than or less than
1 minute?
PW148
Practice
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© Harcourt
5. Lexie drinks her juice in 30
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Lesson 24.2
Time to 15 Minutes
REMEMBER:
Count by fives.
Write the time in two ways.
1.
2.
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
1 : 30
30
3.
minutes after
:
1
o’clock
minutes after
4.
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
:
minutes after
o’clock
:
o’clock
minutes after
o’clock
Problem Solving
© Harcourt
5.
11 12 1
2
10
9
3
4
8
7 6 5
:
6.
11 12 1
2
10
9
3
4
8
7 6 5
:
PW149
7.
11 12 1
2
10
9
3
4
8
7 6 5
:
Practice
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Look at where the hour hand is pointing. About what time is it?
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Lesson 24.3
Time to 5 Minutes
11 12 1
2
10
9
3
4
8
7 6 5
Use a
to show the time.
Then draw the minute hand.
1.
2.
3:25
:
11 12 1
2
10
9
3
4
8
7 6 5
10:10
3.
11 12 1
2
10
9
3
4
8
7 6 5
4.
5.
8:40
11 12 1
2
10
9
3
4
8
7 6 5
6.
11:05
11 12 1
2
10
9
3
4
8
7 6 5
1 2 : 55
11 12 1
2
10
9
3
4
8
7 6 5
9:35
11 12 1
2
10
9
3
4
8
7 6 5
Problem Solving
the 2 and the 3. My minute
hand points to the 4.
What time do I show?
:
:
PW150
11 12 1
2
10
9
3
4
8
7 6 5
Practice
© Harcourt
© Harcourt
7. My hour hand points between
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Lesson 24.4
Time Before the Hour
Write the time in two ways.
1.
45 minutes after 6
11 12 1
2
10
9
3
4
8
7 6 5
2.
11 12 1
2
10
9
3
4
8
7 6 5
:
minutes before
11 12 1
2
10
9
3
4
8
7 6 5
:
minutes before
35 minutes after 9
3.
50 minutes after 2
4.
55 minutes after 5
11 12 1
2
10
9
3
4
8
7 6 5
:
minutes before
:
minutes before
Problem Solving
Deb gets home from school
at 45 minutes after 3. Jack
gets home from school at
10 minutes before 4.
Which classmate gets
home from school first?
—
PW151
Draw hands on the
clocks to show the times.
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
Deb gets
home from
school.
Jack gets
home from
school.
Practice
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© Harcourt
5.
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Lesson 24.5
A.M. and P.M.
Write the time. Then circle A.M. or P.M.
1. make breakfast
2. do homework
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
:
A.M.
:
P.M.
3. play soccer
P.M.
4. get ready for school
11 12 1
2
10
9
3
4
8
7 6 5
:
A.M.
11 12 1
2
10
9
3
4
8
7 6 5
A.M.
:
P.M.
A.M.
P.M.
Problem Solving
5.
breakfast
7:30
lunch
1:00
art
9:15
hiking
1:45
swimming 11:00
music
3:30
PW152
© Harcourt
© Harcourt
Look at Jeffrey’s camp schedule.
For each time, write A.M. or P.M.
Practice
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Lesson 24.6
Elapsed Time
REMEMBER: The minute
hand moves around the
clock once in 1 hour.
11 12 1
2
10
9
3
4
8
7 6 5
Use a
.
Write how much time has passed.
1.
2.
3.
Start
Finish
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
4:00 P.M.
6:00 P.M.
Start
Finish
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
1:00 A.M.
5:00 A.M.
Start
Finish
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
9:00 A.M.
2:00 P.M.
Write and show the times. Then circle A.M. or P.M.
Start
4. Wesley starts reading at 6:15 P .M.
He reads for 2 hours. At what time
does he stop reading?
:
A.M.
P.M.
PW153
11 12 1
2
10
9
3
4
8
7 6 5
Finish
11 12 1
2
10
9
3
4
8
7 6 5
Practice
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© Harcourt
Problem Solving
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Lesson 24.7
Skill • Use a Table
Use the table to answer the questions.
You may wish to use a
.
11 12 1
2
10
9
3
4
8
7 6 5
Event
bus ride
Museum Trip Schedule
Start
Finish
8:00 A.M.
10:00 A.M.
tour
10:00 A.M.
1:00 P.M.
lunch
1:00 P.M.
2:00 P.M.
gift shop
2:00 P.M.
3:00 P.M.
1. Byron’s class is going to the art
museum. How long will it take to
get there?
2 hours
2. Mrs. Cole wants to buy some
posters at the gift shop. How long
will she have to pick them out?
3. Samantha wants to go on the
museum tour. How long will the
tour last?
home. How long will she have
to eat it?
© Harcourt
© Harcourt
4. Bridget brought her lunch from
5. Max wants to buy some lunch and
a toy at the gift shop. How long will
he have to do both?
PW154
Practice
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Lesson 24.8
Days, Weeks, Months, and Years
Write more than,
less than, or the same as
to complete the sentence.
Time Relationships
There are 24 hours in 1 day.
There are 7 days in 1 week.
There are about 4 weeks in 1 month.
There are 12 months in 1 year.
There are about 52 weeks in 1 year.
1. Paige’s grandmother visited for 9 days.
This is
1 week.
2. Mia’s mom was away for 36 hours.
This is
1 day.
3. It took Josh 3 weeks to read his book.
This is
1 month.
4. Ali’s little sister is 16 months old.
This is
1 year.
5. Marley was at camp for
6. Ben collected baseball cards
5 weeks. Kate was at camp for
one month. Who was at camp
for a greater amount of time?
PW155
for 1 year. Ethan collected
baseball cards for 54 weeks.
Who collected baseball cards
for a greater amount of time?
Practice
© Harcourt
© Harcourt
Problem Solving
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CALIFORNIA HSP
SPIRAL
REVIEW
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Week 1
Spiral Review
Write the sum or difference.
Write the numbers in the fact family.
1.
8+7⫽
15 – 7 ⫽
7+8⫽
15 – 8 ⫽
Circle the pattern unit.
2.
Circle add or subtract.
Write the number sentence.
Use a .
Show the time.
Write the time.
11 12 1
2
10
9
3
4
8
7 6 5
3.
5. Jack has 12 bananas.
He eats 4 of them.
How many are there now?
11 12 1
2
10
9
3
4
8
7 6 5
bananas
add
subtract
:
11 12 1
2
10
9
3
4
8
7 6 5
6. Alice has 6 cherries.
Todd brings 7 more.
How many are there now?
cherries
add
:
SR1
subtract
Spiral Review
© Harcourt
© Harcourt
4.
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Week 2
Spiral Review
Follow the rule.
Complete the table.
Write the sum.
Rule: Add 6.
1.
In
2.
5
3
⫹7
3.
2
6
⫹9
4.
2
7
⫹8
5.
3
4
⫹7
Out
2
3
4
5
Write A, B, or C to show which
group each figure belongs.
6.
7.
A
B
C
8.
Circle the object you could trace to
make each figure.
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© Harcourt
9.
10.
SR2
Spiral Review
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Week 3
Spiral Review
Complete the fact families.
1.
+
6
7
+
–
Sports We Like
Total
Basketball
5
Football
7
Baseball
3
Use the real object and
Estimate. Then measure.
–
Use the tally chart to
answer the questions.
2. How many children chose
football?
children
3. Which sport did the fewest
children choose?
.
Object
Estimate
Measurement
4.
about
© Harcourt
© Harcourt
about
Count back to find the difference.
5.
5
2
6.
9
1
7.
SR3
7
2
8.
6
3
Spiral Review
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Week 4
Spiral Review
Make groups of ten.
Use Workmat 3 and .
Write how many tens and
ones. Then write the number.
Use plane figures.
Make a tally chart to solve.
1.
Total
Plane Figures
2
tens
ones
2. How many more circles are
there than squares?
more
Use the solid. Write the number of flat surfaces and corners.
3. A cube has
flat surfaces.
4. A cube has
corners.
© Harcourt
© Harcourt
Decide which operation to use.
Then write the number sentence. Solve.
5. Jeremy has 8 crayons.
He gives 3 crayons to Natalie.
How many crayons does
Jeremy have now?
crayons
SR4
Spiral Review
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Week 5
Spiral Review
Write is greater than, is less than, or is equal to.
Then write >, <, or =.
1.
47
63.
47
2.
28
23.
63
28
23
Find the pattern. Complete the table to solve.
3. How many wheels are on 5 cars?
number of cars
number of wheels
There are
1 2 3 4
4 8 12
5
There are
wheels on each car.
wheels on 5 cars.
and the real object. Choose a unit to measure.
Use
Draw it. Estimate. Then measure.
4.
Object
Unit
Estimate
about
Draw a picture of the problem.
Write the number sentence. Solve.
5. Neil bakes 12 muffins. He gives
4 of them away. How many
muffins does Neil have left?
© Harcourt
© Harcourt
about
Measurement
SR5
Spiral Review
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Week 6
Spiral Review
Write two ways to describe
the meaning of the number.
Skip-count. Show the
pattern on the hundred chart.
1.
2. Count by twos.
Color the squares red.
3. Count by fives.
56 56 Circle the numbers.
tens
ones
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
41 42 43 44 45 46 47 48 49 50
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
Circle each cylinder.
4.
5.
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© Harcourt
Use Workmat 11 and
. If you can make a ten,
regroup. Write how many tens and ones. Write the sum.
Add 34 and 9.
Workmat
Tens
Ones
tens
SR6
ones
Spiral Review
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Week 7
Spiral Review
Add.
Regroup if you need to.
1.
3.
13
+ 28
2.
79
+ 11
4.
Use cubes to show the
number as tens and ones. Draw
what you built. Write even or odd.
25
+ 31
5.
36
66
+ 15
Cross off figures that do not match the clues.
Circle the figure that is left.
6. This figure has straight sides.
It has more than 3 sides.
It has 4 corners.
Which is the figure?
7. I have no curves.
Find the sums.
8.
4+7=
7+4=
9.
=0+4
=0+7
SR7
10. 8
+5=
8+6=
Spiral Review
© Harcourt
© Harcourt
I have more than 5 corners.
My sides are not all the same.
Which figure am I?
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Week 8
Spiral Review
Break apart the addends. Find the sum.
1.
28
64 ?
Add the tens.
Add the ones.
How many in all?
So, 28 64 .
Skip-count. Write the missing numbers.
Write a rule for the pattern.
2.
19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
19, 23, 27,
,
Rule: Count by
.
Cross out the paintings that do not match the clues.
Circle the answer.
3. Sam paints a circle above a
Use the table to solve.
Points Scored in the Game
Player
Number of Points
Kim
Terence
Joe
4. How many points did Kim and
Terence score in all?
16
15
27
points
SR8
Spiral Review
© Harcourt
© Harcourt
square. He paints a triangle
to the left of the circle.
Which painting is Sam’s?
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Week 9
Spiral Review
Subtract. Add to check.
1.
42
8
Use cubes to show the
number as tens and ones. Draw
what you built. Write even or odd.
27
2.
Circle every shape that makes the statement true.
3. The
is to the left of the
4. The
is above the
.
.
Use the table to solve.
Color
Number of Crayons
red
32
blue
47
green
28
yellow
19
5. Alex takes 15 red crayons out of
the box. How many red crayons
are still in the box?
red crayons
SR9
Spiral Review
© Harcourt
© Harcourt
Crayons in a Box
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Week 10
Spiral Review
Look at the difference in the box.
Write ⬎ or ⬍ to make each sentence true.
1.
60 ⫺ 20 ⫽ 40
50 ⫺ 30 ⫽ 20
2.
60 ⫺ 17
40
50 ⫺ 34
20
60 ⫺ 22
40
50 ⫺ 31
20
3. Use the picture to complete the table.
Then shade bars in the graph to show the data
Figures
Figures
Figure Number
circle
square
Number
6
5
4
3
2
triangle
1
0
Circle Triangle Square
Figure
Use solids.
Follow the rule.
Complete the table.
4. Circle each solid with both
Rule: Add 4
In
Out
3
5
7
9
SR10
Spiral Review
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5.
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curves and flat surfaces.
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Week 11
Spiral Review
Draw and label coins from greatest
to least value. Find the total value.
1.
Use the pictograph.
Use a .
Show the time.
Write the time.
11 12 1
2
10
9
3
4
8
7 6 5
Our Favorite Sports
soccer
3.
football
hockey
Key: Each
11 12 1
2
10
9
3
4
8
7 6 5
stands for 2 children.
2. How many children did not
choose hockey?
children
Find the difference.
Complete the addition fact that can help.
4.
14 – 9 =
5.
+
= 14
THINK: 6
+
= 13
© Harcourt
© Harcourt
14
THINK: 9
13 – 6 =
13
SR11
Spiral Review
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Week 12
Spiral Review
Find the total value.
1.
,
,
Use the line plot.
2
,
,
,
2. What number of
3
4
5
6
Number of Crayons
crayons do the most
children have?
7
crayons
Order 3 pieces of chalk from longest to shortest. Draw them.
3. longest
4.
5. shortest
Flowers in a Garden
Flower
Number
pansy
28
iris
19
rose
41
lily
16
6. How many more roses
© Harcourt
© Harcourt
Use the table to solve.
than irises are in the
garden?
more roses
SR12
Spiral Review
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Name
Week 13
Spiral Review
Circle coins to make $1.00.
Cross out the coins you do not use.
1.
Use the bar graph.
2. How many books did
Children
Books Read Last Month
the children read
in all?
Crystal
John
Neil
books
Maria
0 1 2 3 4 5 6 7 8 9
Number of Books
Cross out the objects that do not belong. Circle the objects that
have the same figure. Name the solid figures you circled.
3.
Points Scored in the Tournament
Team
Number of Points
Wildcats
32
Wolves
28
Sparrows
24
Eagles
36
SR13
4. How many more points did
the Wildcats score than the
Sparrows?
more points
Spiral Review
© Harcourt
© Harcourt
Use the table to solve.
MXECA09AWK2X_SR_WK14.indd Page 1 7/17/09 5:27:09 AM s-124
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Name
Week 14
Spiral Review
Write how many tens and ones.
Use
if you need to.
1.
33
tens
ones
tens
ones
tens
ones
Find the pattern. Complete the table to solve.
2. How many wheels are on 5 skateboards?
number of skateboards
number of wheels
There are
1
4
2
8
3
12
4
5
There are
wheels on each
skateboard.
wheels on 5 skateboards.
Complete the table to solve.
3. Daniel is making three cubes. How many squares
does he need to make these three figures?
1
number of cubes
2
3
Daniel needs
© Harcourt
© Harcourt
number of squares
squares.
Draw a picture to solve. Write the number sentence.
4. Becky sees 3 green butterflies and
4 purple butterflies. How many
butterflies does Becky see altogether?
SR14
butterflies
Spiral Review
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Name
Week 15
Spiral Review
Write the fraction for the shaded part of the whole.
1.
2.
Use the picture to compete the table.
Then shade bars in the graph to show the data.
Cars
Color
Number
black
gray
white
Number of Cars
Cars
3.
6
5
4
3
2
1
0
Black
Gray
White
Color
Color the figures.
4. Color the circles green.
5. Color the squares blue.
6. Color the triangles red.
© Harcourt
© Harcourt
7. Color the rectangles yellow.
Decide which operation to use.
Then write the number sentence. Solve.
8. Katie catches 16 lightning bugs
in a jar. Then 8 of the lightning
bugs get out. How many
lightning bugs are left in the jar?
lightning bugs
SR15
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK16
Week 16
Spiral Review
Write a fraction for the
shaded part.
Use the line plot.
1.
3
4
5
6
7
Number of Letters in Names
2.
3. What is the mode of the
data?
The mode of the data is
.
Color the figures.
4. Color the triangles orange.
5. Color the squares purple.
6. Color the rectangles green.
7. Color the circles brown.
8.
9.
10.
7⫹7⫽
⫽6⫹0
3⫹9⫽
7⫹8⫽
⫽1⫹0
9⫹3⫽
SR16
Spiral Review
© Harcourt
© Harcourt
Find the sums.
MXECA09AWK2X_SR_WK17.indd Page SR17 7/17/09 5:27:44 AM s-124
/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK17
Name
Week 17
Spiral Review
Subtract. Regroup if you need to.
1.
63
19
2.
48
26
3.
24
16
4.
84
38
5.
72
59
Skip-count. Write the missing numbers.
Write a rule for the pattern.
6.
77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97
77, 79, 81,
,
Rule: Count by
.
Use the solid figure.
Complete the table. Write how many.
solid figure
faces
edges
vertices
7.
pyramid
8.
12
7
© Harcourt
© Harcourt
Complete the fact families.
SR17
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK18
Name
Week 18
Spiral Review
Write the number another way.
1. 2 hundreds 1 ten 7 ones
2.
942
3. five hundred forty-eight
4.
700 ⫹ 80 ⫹ 3
Use the line plot to answer the questions.
0
5. Write a number sentence
to find the range of the data.
1
2
3
Number of Pets
4
6. What is the mode of the data?
The mode of the data is
.
Use pattern blocks. Combine sides of figures
to make a new figure. Trace the new figure.
Draw a picture to solve.
Write the number sentence.
© Harcourt
© Harcourt
7.
8. There are 4 ladybugs sitting
on a branch. Then 7 more
ladybugs come. How many
ladybugs are there in all?
ladybugs
SR18
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK19
Name
Week 19
Spiral Review
Write how many equal parts there are. Then write if
these parts are halves, thirds, or fourths.
3.
2.
1.
equal parts
equal parts
equal parts
Use the line plot.
3
4. Write a number sentence
4
5
6
Number of Markers
Write a title to describe the
group of plane figures.
to find the range of the data.
7
5. What is the mode of the data?
The mode of the data is
Write the sum.
7.
6
7
⫹4
8.
5
8
⫹2
9.
7
1
⫹7
10.
3
9
⫹4
6.
© Harcourt
.
SR19
Spiral Review
© Harcourt
MXECA09AWK2X_SR_WK20.indd Page SR20 7/17/09 5:28:15 AM s-124
/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK20
Name
Week 20
Spiral Review
Use bills and coins to make a model.
1. Margie has 2 dollar bills, 2 quarters, 7 dimes, and 3 nickels.
She wants to buy a kite that costs $1.35.
Draw two ways she can pay the exact amount.
Find the pattern. Complete the table to solve.
2. How many wheels are on 5 bicycles?
number of bicycles
1
2
3
number of wheels
2
4
6
There are
4
5
There are
wheels on each
bicycle.
wheels on 5 bicycles.
Use solid figures. Circle the solid
figure that has these faces.
3.
pyramid
cube
Draw a line through the information you do not
need. Then solve.
© Harcourt
© Harcourt
cylinder
4. Max counts 27 fish on Monday.
He counts 13 birds and 25 fish
on Tuesday. How many fish
does he count on the two days?
SR20
fish
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK21
Name
Week 21
Spiral Review
Color one part red.
Write the fraction that names the red part.
1.
2.
3.
Use the picture graph.
4. How many more pennies
Coins in TomÕs Pocket
than nickels are in Tom’s
pocket?
pennies
nickels
dimes
Key: Each
more pennies
stands for 1.
Write yes or no to tell about
the surface of each object.
Object
Does it
slide?
Does it
roll?
Does it slide
and roll?
5.
Vegetables in the Garden
Vegetable
Number
radishes
15
tomatoes
27
squash
24
carrots
31
6. How many more carrots
than radishes are there?
more carrots
SR21
Spiral Review
© Harcourt
© Harcourt
Use the table to solve.
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK22
Name
Week 22
Spiral Review
Read the number. Write the number in different ways.
three hundred forty-nine
1.
hundreds
tens
Write a title and labels for the bar
graph then complete the bar
graph to show the information.
2. Ali took a survey of her
classmates’ favorite fruits.
4 classmates chose apple,
5 chose peach, 6 chose
pear, and 2 chose plum.
ones
7
6
5
4
3
2
1
0
apple
pear
peach
plum
Circle the objects that have the same figure. Cross out the objects
that do not belong. Name the solid figures you circled.
Draw a line through the information you do not need. Then solve.
© Harcourt
© Harcourt
3.
4. On Friday, 156 people visit the art
museum. On Saturday, 117 people visit
the science museum and 263 people
visit the art museum. How many people
visit a museum on Saturday?
SR22
people
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK23
Name
Week 23
Spiral Review
Use Workmat 6 and . Draw
to show your work. Write how
many in each group.
1. Divide 12
Use cubes to show the
number as tens and ones.
Draw what you built. Write
even or odd.
into 4 equal groups.
12
2.
in each group
Measure the length to the nearest inch.
3.
Measure: about
inches
Measure: about
inches
4.
Use Workmat 5 and
Tens
Ones
1
4
5
4
6.
Hundreds
Tens
Ones
2
6
7
3
7.
Hundreds
Tens
Ones
5
7
2
0
© Harcourt
Hundreds
© Harcourt
5.
. Subtract.
7
⫺ 3
5
⫺ 1
SR23
3
⫺ 2
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK24
Name
Week 24
Spiral Review
Write the product.
1.
6
2
2.
10
3
3.
5
7
4.
10
2
5.
3
5
6.
2
8
Use the line plot to answer the questions.
1
2
3
4
5
6
7. Write a number sentence to find the
range of the data.
Number of Books
Checked Out from the Library
Use
8. What is the mode of the data?
The mode of the data is
.
. Measure the real object.
Find the object.
9.
Measure.
about
cubes
Rule: Add
.
© Harcourt
10.
Rule: Add
In
.
11.
Out
3
4
11
5
6
In
Out
2
7
4
9
6
13
8
SR24
Spiral Review
© Harcourt
Find a rule. Complete the table.
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK25
Name
Week 25
Spiral Review
Draw equal groups. Skip-count to find how many in all.
Write the multiplication sentence.
1. 5 equal groups. 3 ● in each group.
,
,
,
⫻
,
⫽
Use the bar graph to answer the questions.
Children
Pictures Drawn Last Week
Jon
2. How may pictures did Ali
and Gabe draw last week
together?
Ali
Liza
Gabe
pictures
0 1 2 3 4 5 6 7 8 9
Number of Pictures
Measure the length to the nearest inch.
3.
Measure: about
inches
Measure: about
inches
© Harcourt
© Harcourt
4.
Draw a picture to solve. Write a number sentence.
5. Arlo has 4 bags of pretzels. He is given
6 more bags. How many bags does
he have in all?
bags
SR25
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK26
Name
Week 26
Spiral Review
What fraction of the group are black?
What fraction of the group are gray?
1.
of the group are black
of the group are gray
Skip-count. Write the missing numbers.
Write a rule for the pattern.
2. 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
,
Rule: Count by
Use Workmat 11 and
. Regroup if you need to.
Write how many tens and ones. Write
the difference.
Write the time in two ways.
© Harcourt
3.
11 12 1
2
10
9
3
4
8
7 6 5
4. Subtract 7 from 35.
Workmat
Tens
Ones
:
minutes after
.
tens
ones
o’clock
SR26
Spiral Review
© Harcourt
48, 51, 54,
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK27
Name
Week 27
Spiral Review
Use Workmat 6 and ●. Draw to show your work.
Write how many in each group.
1. Divide 18 ● into 2 equal
2. Divide 15 ● into 5 equal
groups.
groups.
in each group
in each group
3. Use the picture to complete the table.
Then shade the bars in the graph to show the data.
Circles
Circles
Number
black
gray
white
Colors
Color
black
gray
white
0
1
2
3
4
5
6
Number
Use solid figures. Color the figure that matches the
number of faces, edges, and vertices.
4. 5 faces, 8 edges,
© Harcourt
© Harcourt
5 vertices
Cross out the information you do not need. Then solve.
5. There are 89 geese in a field.
There are 72 ducks and 95 geese
in a lake. How many geese are
there altogether?
SR27
geese
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK28
Name
Week 28
Spiral Review
Color the fraction strips to show the fractions.
Compare. Circle the greater fraction.
1.
1
8
1
12
Find the pattern. Complete the table to solve.
2. How many wheels are on 5 wagons?
number of wagons
1
2
3
number of wheels
4
8
12
There are
© Harcourt
3.
11 12 1
2
10
9
3
4
8
7 6 5
There are
wheels on
each wagon.
5
wheels on 5 wagons.
. Write how much time has passed.
Start
Finish
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
4:00 P.M.
9:00 P.M.
© Harcourt
Use a
4
Find the sums.
4.
7⫹0⫽
4⫹0⫽
5.
8⫹3⫽
8⫹4⫽
SR28
6.
6⫹9⫽
9⫹6⫽
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK29
Name
Week 29
Spiral Review
Write how many.
Write the multiplication sentence.
1.
rows of
C
rows of
C
C
C
Use the table to answer the questions.
Nuts in a Bag
Kind of Nut
Number
cashew
peanut
walnut
filbert
pecan
2. Of which kind of nut is there
the most in the bag?
211
425
237
98
174
3. Of which kind of nut is there
the least in the bag?
Measure the length to the nearest inch.
4.
Measure: about
inches
Fish in a Tank
Color
Number of Fish
yellow
blue
orange
red
26
43
18
22
5. Mrs. Jagger puts 19 blue fish
into a different tank. How many
blue fish are left in the tank?
blue fish
SR29
Spiral Review
© Harcourt
© Harcourt
Use the table to solve.
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK30
Name
Week 30
Spiral Review
Write the numbers in the correct order.
Then write > or <.
1.
724
472
least
744
greatest
2.
392
293
932
greatest
Use the hundred chart. Extend the pattern.
3. Skip-count by fives.
1 2
6, 11, 16, , , , ,
11 12
21 22
4. Skip-count by twos
31 32
7, 9, 11, , , , ,
41 42
3
13
23
33
43
least
4
14
24
34
44
5
15
25
35
45
6
16
26
36
46
7
17
27
37
47
8
18
28
38
48
9
19
29
39
49
10
20
30
40
50
Use paper figures to make three new figures.
Cut along the folds. Trace the new figures.
Draw a picture to solve.
Write a number sentence.
6. Tara has 6 blue beads and
9 orange beads. How many
beads does she have in all?
© Harcourt
© Harcourt
5.
beads
SR30
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK31
Name
Week 31
Spiral Review
Use . Draw equal groups.
Write a multiplication sentence.
1. 3 groups of 4
4 ⫹
4
⫹
4
⫻
⫽
⫽
Skip-count. Write the missing numbers.
Write a rule for the pattern.
2.
42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62
42, 46, 50,
Use
,
Rule: Count by
.
. Measure the real object.
Find the object.
Measure.
chalkboard eraser
3.
about
cubes
5.
4.
7
6
⫹1
6.
4
9
⫹4
7.
8
6
⫹2
SR31
8.
3
5
⫹5
6
1
⫹4
Spiral Review
© Harcourt
© Harcourt
Write the sum.
MXECA09AWK2X_SR_WK32.indd Page SR32 7/17/09 5:30:41 AM s-124
/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK32
Name
Week 32
Spiral Review
Use Workmat 6 and .
Draw to show your work. Write how
many groups and the remainder.
Write a title and labels for
the bar graph. Then complete the
bar graph to show the information.
1. Divide 14
3. Nikki took a survey of her
into groups of 3.
classmates’ favorite lunches.
5 classmates chose pizza,
6 chose tacos, 3 chose chili,
and 2 chose pasta.
groups
The remainder is
.
7
6
5
2. Divide 9
4
into groups of 4.
3
2
1
groups
The remainder is
Write a title to describe the
group of plane figures.
0
Pizza
Tacos
Chili
Pasta
.
Use Workmat 5 and
. Subtract.
© Harcourt
5.
Hundreds
7
⫺ 3
SR32
Tens
Ones
3
2
4
5
Spiral Review
© Harcourt
4.
MXECA09AWK2X_SR_WK33.indd Page SR33 7/17/09 5:30:49 AM s-124
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Name
Week 33
Spiral Review
Use Workmat 6 and . Draw to show your work.
Write a division sentence.
1. Divide 16
into groups of 2.
groups
2. Divide 10
into groups of 5.
groups
Find the pattern. Complete the table to solve.
3. How many legs are on 5 beetles?
number of beetles
1
2
3
number of legs
6
12
18
There are
4
5
There are
legs on
each beetle.
legs on 5 beetles.
Measure the length to the nearest centimeter.
4.
centimeters
Draw a picture to solve.
Write a number sentence.
© Harcourt
© Harcourt
Measure: about
5. There are 5 flowers in a vase.
Each flower has 4 petals. How
many petals are there in all?
petals
SR33
Spiral Review
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Name
Week 34
Spiral Review
Circle to show equal parts. Then write if the black
part is one half, third, or fourth of the group.
1. 3 equal parts
2. 2 equal parts
One
group is black.
One
group is black.
of the
of the
Use the line plot.
4
5
3. Write a number sentence to find
6
7
8
the range of the data.
Number of Raisins in Cookies
Write more than, less than, or the
same as to complete the sentence.
4. It snowed for 5 days in
the mountains.
1 week.
Use the picture graph.
Trees in the Park
elm
oak
maple
Each
© Harcourt
© Harcourt
This is
Time Relationships
There are 24 hours in 1 day.
There are 7 days in 1 week.
There are about 4 weeks in 1 month.
There are 12 months in 1 year.
There are about 52 weeks in 1 year.
5. How many oak trees
are in the park?
oak trees
6. How many trees are in
the park altogether?
trees
stands for 1 tree.
SR34
Spiral Review
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/Volumes/105/HMH0002/work%0/indd%0/Grade 2_PW/Sprial Review/MXECA09AWK2X_SR_WK35
Name
Week 35
Spiral Review
Use . Color the array.
Write a multiplication sentence.
1.
6 rows of 3
⫻
2 rows of 5
2.
⫽
⫻
⫽
Skip-count. Write the missing numbers.
Write a rule for the pattern.
3.
52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72
,
Find the object.
dictionary
4.
Rule: Count by
Choose
the unit.
© Harcourt
Measure.
ounce
pound
Use Workmat 11 and
Write how many.
.
about
© Harcourt
52, 55, 58,
to make a model.
5. Freddy has 17 toy trains on the
floor in his bedroom. He puts 9 trains
in a toy chest. How many trains
are left on the floor?
SR35
trains
Spiral Review
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Name
Week 36
Spiral Review
Use a number line to write a division sentence.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18
1. Divide 16 into equal groups of 2.
Use the bar graph.
2. How many more
Animal
Animals Brett Saw on a Hike
Squirrel
Squirrel
Squirrel
squirrels than rabbits did
Brett see on the hike?
Chipmunk
Chipmunk
Deer
Deer
Rabbit
Rabbit
more squirrels
0 1 2 3 4 5 6 7 8 9
Number
Measure the length of the real
object. Choose the better unit
to use.
Find the object.
3.
Units of Measure
Choose the unit.
Measure.
bulletin board
about
4.
Rule: Add
.
In
Out
2
5
4
6
9
8
5.
SR36
Rule: Add
.
In
Out
3
4
5
11
6
12
Spiral Review
© Harcourt
© Harcourt
Find the rule. Complete the table.
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