PROBLEM
SOLVING
and Reading
Strategies
Workbook
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HSP
Grade 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: NUMBER SENSE
AND OPERATIONS
Chapter 1: Number Sense
1.1
1.2
1.3
1.4
1.5
1.6
1.7
One to One Correspondence......PS1
Numbers to 10 ..........................PS2
Numbers to 20 ..........................PS3
Compare Numbers to 20 ............PS4
Order Numbers to 20 .................PS5
Ordinal Numbers .......................PS6
Reading Skill • Use Graphic
Aids .........................................PS7
Chapter 2: Addition Concepts
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
Model Joining ...........................PS8
Use Symbols to Add ..................PS9
Model Part-Part-Whole............. PS10
Algebra: Add 0 ........................ PS11
Algebra: Add in Any Order ........ PS12
Ways to Make Numbers to 8 ..... PS13
Vertical Addition Sentences ...... PS14
Reading Skill • Reread ............ .PS15
Chapter 3: Subtraction Concepts
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
Model Separating ................... PS16
Use Symbols to Subtract .......... PS17
Algebra: Subtract All or 0 ......... PS18
Algebra: Take Apart Numbers
from 8 or Less ........................ PS19
Vertical Subtraction
Sentences .............................. PS20
Model Part-Part-Whole............. PS21
Subtract to Compare ............... PS22
Reading Skill • Paraphrase ...... .PS23
Chapter 4: Understand Addition
and Subtraction
4.1
4.2
4.3
4.4
4.5
Create Addition and
Subtraction Problems .............. PS24
Model Addition and
Subtraction............................. PS25
Related Facts ......................... PS26
Write Addition and
Subtraction Sentences............. PS27
Reading Skill • Reread ............. PS28
UNIT 2: ADDITION AND
SUBTRACTION
FACTS TO 12
Chapter 5: Addition Strategies
to 12
5.1
5.2
5.3
5.4
5.5
5.6
5.7
Count On 1 or 2 ...................... PS29
Use a Number Line to
Count On ............................... PS30
Count On Practice ................... PS31
Add Doubles ........................... PS32
Doubles and Near Doubles ....... PS33
Use the Strategies................... PS34
Reading Skill • Reread ............. PS35
Chapter 6: Subtraction Strategies
to 12
6.1
6.2
6.3
6.4
6.5
Use a Number Line to
Count Back 1 and 2 ................. PS36
Use a Number Line to
Count Back 3 .......................... PS37
Think Addition to Subtract ......... PS38
Practice the Strategies............. PS39
Reading Skill • Use Picture
Clues ..................................... PS40
Chapter 7: Relate Addition and
Subtraction to 12
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8
Related Addition Facts ............. PS41
Related Subtraction Facts ........ PS42
Build Fact Families................... PS43
Record Fact Families ............... PS44
Algebra: Follow the Rule........... PS45
Algebra: Make Sums
and Differences to 12 .............. PS46
Create Addition and
Subtraction Problems............... PS47
Reading Skill • Use
Picture Clues .......................... PS48
UNIT 3: GRAPHS,
PROBABILITY, AND
NUMBERS TO 100
Chapter 8: Data and Graphs
8.1
8.2
8.3
8.4
8.5
Algebra: Sort and Classify ....... PS49
Algebra: More Sorting
and Classifying ....................... PS50
Concrete Graphs ..................... PS51
Picture Graphs ........................ PS52
Reading Skill • Use
Graphic Aids ........................... PS53
Chapter 9: Data, Graphs, and
Probability
9.1
9.2
9.3
9.4
9.5
Tally Charts ............................ PS54
Bar Graphs ............................ PS55
Possible or Impossible............. PS56
More Likely, Less Likely ........... PS57
Reading Skill • Make
Predictions ............................. PS58
Chapter 10: Place Value Numbers
to 100
10.1
10.2
10.3
10.4
10.5
Make Ten and More ................. PS59
Tens ...................................... PS60
Tens and Ones to 50 ................ PS61
Tens and Ones to 100 .............. PS62
Algebra: Ways to Expand
Numbers ................................ PS63
10.6 Reading Skill • Compare
and Contrast .......................... PS64
Chapter 11: Comparing and
Ordering Numbers
11.1 Algebra: Greater Than ............. PS65
11.2 Algebra: Less Than ................. PS66
11.3 Algebra: Use Symbols
to Compare ............................ PS67
11.4 One More, One Less ............... PS68
11.5 Ten More, Ten Less .................. PS69
11.6 Order on a Number Line ........... PS70
11.7 Order 3 Numbers .................... PS71
11.8 Reading Skill • Use
Graphic Aids ........................... PS72
Chapter 12: Number Patterns
12.1 Count Forward and
Backward .............................. PS73
12.2 Skip Count by Twos,
Fives, and Tens ....................... PS74
12.3 Algebra: Skip Count on
a Hundred Chart ..................... PS75
12.4 Algebra: Counting Patterns....... PS76
12.5 Algebra: Identify Number
Patterns ................................. PS77
12.6 Even and Odd ......................... PS78
12.7 Reading Skill • Use
Graphic Aids ........................... PS79
UNIT 4: GEOMETRY,
PATTERNS, SPATIAL
SENSE, AND
FRACTIONS
Chapter 13: Solid and Plane Figures
13.1
13.2
13.3
13.4
13.5
13.6
Sort Solid Figures .................... PS80
Classify Solids ........................ PS81
Plane Figures on Solids ............ PS82
Sort Plane Figures ................... PS83
Classify Plane Figures ............. PS84
Reading Skill • Use
Picture Clues .......................... PS85
Chapter 14: Geometric Patterns
14.1
14.2
14.3
14.4
14.5
Algebra: Describe Patterns ...... PS86
Extend Patterns ...................... PS87
Algebra: Pictorial Patterns ........ PS88
Algebra: Identify Patterns ........ PS89
Algebra: Create
New Patterns .......................... PS90
14.6 Algebra: Transfer a Pattern ....... PS91
14.7 Reading Skill • Use
Picture Clues .......................... PS92
Chapter 15: Spatial Sense
15.1
15.2
15.3
15.4
15.5
15.6
Position Words........................ PS93
Give and Follow Directions ....... PS94
Congruent Figures ................... PS95
Symmetry .............................. PS96
Slides, Flips, and Turns............. PS97
Reading Skill • Sequence ......... PS98
Chapter 16: Fractions
16.1
16.2
16.3
16.4
16.5
16.6
Equal Parts ............................. PS99
Halves ................................. PS100
Fourths ................................ PS101
Thirds .................................. PS102
Parts of a Group .................... PS103
Reading Skill • Use
Picture Clues ........................ PS104
UNIT 5: OPERATIONS,
MONEY, AND TIME
Chapter 17: Addition Facts and
Strategies to 20
17.1 Doubles and Near
Doubles ............................... PS105
17.2 Add 10 and More .................. PS106
17.3 Make a 10 to Add .................. PS107
17.4 Algebra: Add 3 Numbers ........ PS108
17.5 Practice Sums to 20 .............. PS109
17.6 Reading Skill • Reread ........... PS110
Chapter 18: Subtraction Facts and
Strategies to 20
18.1 Use a Number Line to
Subtract ............................... PS111
18.2 Subtract to Compare ............ .PS112
18.3 Think Addition to Subtract ....... PS113
18.4 Practice Differences
from 20 ................................ PS114
18.5 Reading Skill • Use
Graphic Aids ......................... PS115
Chapter 19: Relate Addition and
Subtraction to 20
19.1 Fact Families to 20.................. PS116
19.2 Algebra: Missing Numbers...... PS117
19.3 Algebra: Ways to Make
Numbers to 20 ...................... PS118
19.4 Algebra: Follow the Rule......... PS119
19.5 Create Addition and
Subtraction Problems ............ PS120
19.6 Reading Skill • Use
Context Clues ....................... PS121
Chapter 20: Counting Money
20.1
20.2
20.3
20.4
20.5
20.6
20.7
20.8
Pennies and Nickels ............... PS122
Pennies and Dimes ................ PS123
Count Collections .................. PS124
Quarters .............................. PS125
Dollar .................................. PS126
Compare Amounts ................ PS127
Make Equal Amounts ............. PS128
Reading Skill • Reread ........... PS129
Chapter 21: Time and Calendar
21.1 Time to the Hour ................... PS130
21.2 Time to the Half Hour............. PS131
21.3 Time to the Hour and
Half Hour ............................. PS132
21.4 Use a Calendar ..................... PS133
21.5 Order Events ........................ PS134
21.6 Reading Skill • Use
Graphic Aids ......................... PS135
UNIT 6: MEASUREMENT AND
OPERATIONS
Chapter 22: Length and
Temperature
22.1 Compare Length ................... PS136
22.2 Use Nonstandard Units .......... PS137
22.3 Compare Nonstandard
Units .................................... PS138
22.4 Inches ................................. PS139
22.5 Centimeters .......................... PS140
22.6 Temperature ......................... PS141
22.7 Reading Skill • Compare
and Contrast ........................ PS142
Chapter 23: Weight and Capacity
23.1 Use a Balance ...................... PS143
23.2 Use Nonstandard Units
to Estimate and
Measure Weight ................... PS144
23.3 Use Nonstandard Units
to Compare Weight ................ PS145
23.4 Pounds ................................ PS146
23.5 Use Nonstandard Units to Estimate
and Measure Capacity .......... PS147
23.6 Use Nonstandard
Units to Compare Capacity..... PS148
23.7 Cups, Pints, and Quarts ......... PS149
23.8 Choose the Measuring Tool .... PS150
23.9 Reading Skill • Make
Predictions ........................... PS151
Chapter 24: Place Value and
2-Digit Addition and
Subtraction
24.1 Use Mental Math to
Add Tens .............................. PS152
24.2 Add Tens and Ones ............... PS153
24.3 Add 2-Digit Numbers .............. PS154
24.4 Use Mental Math to
Subtract Tens........................ PS155
24.5 Subtract Tens and Ones ......... PS156
24.6 Subtract 2-Digit Numbers ....... PS157
24.7 Reading Skill • Make
Predictions ........................... PS158
Lesson 1.1
Name
One to One Correspondence
Nan put 5
and 3
on the table.
than
are there?
How many more
1. Draw the
.
2. Draw the
.
3. Draw lines to match.
4. How many more
2
more
are there?
.
Draw a picture to solve.
5. Sal has 6
and 3
How many more
are there?
more
.
than
.
6. Challenge Kim has 3
Bob has 1 more
.
than Kim.
does Bob have?
How many
.
PS1
Problem Solving
© Harcourt • Grade 1
Lesson 1.2
Name
Numbers to 10
Beth has four
.
.
John has the same number of
1. Draw the
John has.
2. Write the number
of
John has.
3. Lou has seven
4
.
Ann has the same number of
Draw the
.
.
Ann has.
Write the number of
Ann has.
4. Challenge Draw 5 things.
Write the number word.
PS2
Problem Solving
© Harcourt • Grade 1
Lesson 1.3
Name
Numbers to 20
Jan has some .
She has 5 more than 10.
How many does Jan have?
1. Draw 10
2. Draw 5
.
more.
3. How many
does Jan have?
15
Draw
to solve.
4. Brian has some
.
He has 2 more than 10.
How many does Brian have?
5. Challenge Carl has some
.
He has 3 less than 20.
How many
does Carl have?
PS3
Problem Solving
© Harcourt • Grade 1
Lesson 1.4
Name
Compare Numbers to 20
Mia and Dora play a game.
They spin a 6 and a 4.
Mia spins the greater number.
Which number does Mia spin?
1. Draw
to show 6.
2. Draw
to show 4.
9
8
4
6 7
3. Compare. Which number is greater?
4. Write the number Mia spins.
Draw
5
6
6
to solve.
5. Sam and Tim spin a 5 and a 9.
Tim spins the greater number.
Which number does Tim spin?
Tim spins
6. Challenge Draw
.
to show
a number less than 4.
Write the number.
PS4
Problem Solving
© Harcourt • Grade 1
Lesson 1.5
Name
Order Numbers to 20
Raf has 14
.
Ben has 12
.
Carla has 13
.
What is the order of the numbers
from least to greatest?
1. Use
to show each number.
12
14
Which is greatest?
2. Which is least?
3.
4. Write the numbers in order from least to greatest.
12
5. Kat has 8
Fran has 11
13
14
.
.
Shawn has 10
.
Write the numbers in order from least to greatest.
6. Challenge Andy has 9
.
Josh has more than Andy.
Bob has less than Andy.
Write a number of
that
Bob and Josh could have.
Bob
PS5
9
Andy
Josh
Problem Solving
© Harcourt • Grade 1
Lesson 1.6
Name
Ordinal Numbers
Tia is second in line.
Nick is fourth in line.
Joe is in between them.
In which place is Joe?
first
second
third
fourth
fifth
sixth
1. Make an X on Tia.
2. Make an X on Nick
3. Write the special number word
to tell where Joe is.
third
Use the picture for Exercise 4 and 5.
first
second third
fourth
fifth
sixth seventh eighth ninth
tenth
4. Bill is fifth in line.
Meg is seventh in line.
Pat is in between them.
Write the special number word
to tell where Pat is.
5. Challenge Kyle is last in line.
Rosa is in front of Kyle.
Write the special number word
to tell where Rosa is.
PS6
Problem Solving
© Harcourt • Grade 1
Lesson 1.7
Name
I\X[`e^
Jb`cc
Use Graphic Aids
The picture graph shows how many
leaves the class found.
Which leaf has the greatest number?
Which leaf has the least number?
Leaves We Found
Read the picture graph from left to right.
1. Write how many.
4
2. Circle the leaf that has the greatest number.
3. Circle the leaf that has the least number.
4. How many more
than
are there?
more
PS7
Reading Skill
© Harcourt • Grade 1
Lesson 2.1
Name
Model Joining
Kristy has 3 trucks.
Glen brings 2 trucks.
How many are there in all?
1. Use
to show the addition story.
2. Draw the
.
3 trucks
2 more trucks
3. Write how many in all.
to solve. Draw the
Use
trucks in all
.
4. Lena has 2 balloons.
She gets 1 more balloon.
How many does she have in all?
2 balloons
1 more balloon
balloons in all
5. Challenge Tia invites Kim over.
Kim brings 2 friends.
How many children are there in all?
Tia
Kim
2 more friends
PS8
children in all
Problem Solving
© Harcourt • Grade 1
Lesson 2.2
Name
Use Symbols to Add
Max has 3
.
He gets 4
.
How many fish does he have in all?
1. Write the numbers you will add.
3
4
2. Write the addition sentence.
Look at the picture. Write the addition sentence.
3. Ben has 2
He has 3
.
.
How many flowers does he have in all?
4. Challenge Maya has 2
and 1
.
Draw how many. Write the addition sentence.
PS9
Problem Solving
© Harcourt • Grade 1
Lesson 2.3
Name
Model Part-Part-Whole
Mark has 4
and 1
.
Part
Part
How many crayons are there in all?
1. Use
to show the parts.
2. Write the addition sentence.
4
part
Use
1
part
5
whole
5
in all
. Write the addition sentence.
3. There are 2
and 3 .
How many are there in all?
part
part
whole
in all
4. Challenge Make up an addition story.
Draw to show the parts.
Write the addition sentence.
part
part
whole
PS10
in all
Problem Solving
© Harcourt • Grade 1
Lesson 2.4
Name
Algebra: Add 0
Scott has 4 kites.
Ling has 0 kites.
How many kites are there in all?
1. Draw to show each number.
Ling
Scott
40
2. Write the sum.
4
Draw a picture to solve. Write the sum.
3. There are 5 trees in Jane’s yard.
There are 0 trees in Zack’s yard.
How many trees are there in all?
Jane
Zack
50
4. Challenge Ana, Fred, and Jack
have 3 pets in all. Ana has 3 pets.
How many pets does Fred have?
How many pets does Jack have?
Fred has
pets.
Jack has
PS11
pets.
Problem Solving
© Harcourt • Grade 1
Lesson 2.5
Name
Algebra: Add in Any Order
Tom has 3
and 2
.
Sara has 2
and 3
.
Do they have the same
number of balloons in all?
1. Use
and
Tom
Sara
to show the balloons.
2. Write the sums.
5
32
23
5
3. Do they have the same number of balloons?
Use
and
no
yes
no
. Write the sums.
4. Brian has 3
Ann has 4
yes
and 4
and 3
34
.
.
43
Do they have the same number of bears?
5. Challenge Fill in the blanks to make Jan and Lee
have the same number of sport balls.
Jan has 5
Lee has
and
.
and 5
.
PS12
5
5
Problem Solving
© Harcourt • Grade 1
Lesson 2.6
Name
Algebra: Ways to Make Numbers to 8
Hugo sees 8 bugs in all.
How many of each bug
could he have seen?
1. Use
and
to show the bugs.
Color to show your way.
2. Complete the addition sentence.
8
5
3
3. Color to show another way.
Complete the addition sentence.
8
4. Challenge Mary saw 7 birds in all.
Circle to show how many of each bird
she could have seen.
4
and 4
2
and 5
PS13
7
and 1
Problem Solving
© Harcourt • Grade 1
Lesson 2.7
Name
Vertical Addition Sentences
Meg has 2
. She gets 4 more
.
How many are there in all?
1. Add across.
2. Add down.
2
4
6
2 4 6
3. Are the sums the same?
4. Ashley has 3
yes
no
. She gets 5 more
.
How many are there in all?
Are the sums the same? yes
5. Challenge Sam has 6
no
.
Vera gives him some more.
Now he has 8.
How many does Vera give him?
PS14
Problem Solving
© Harcourt • Grade 1
Lesson 2.8
Name
I\X[`e^
Jb`cc
Reread
What is the problem asking?
Reread to understand the problem.
.
Linda has 5
.
She gets 2 more
How many
does she have now?
1. Underline the question in the problem.
2. Use
to make a model.
5 2 7
does Linda have now?
3. Write the number sentence.
4. How many
7
Use
to make a model.
Write the number sentence.
5.
There are 2
3 more
playing.
come.
How many
are there now?
6.
There are 7
1 more
in a tree.
joins them.
How many
are there now?
PS15
Reading Skill
© Harcourt • Grade 1
Lesson 3.1
Name
Model Separating
Ed has 5 .
He eats 2 .
How many are left?
1. Use
to show the subtraction story.
Draw the
.
5 cherries
Ed eats 2 cherries.
3
2. Write how many are left.
Use
to solve. Draw the
3. There are 3
are left
.
.
1
leaves.
How many are left?
1 horse leaves.
3 horses
Write how many are left.
are left
4. Challenge Look at the picture.
Write the numbers.
balloons
fly away
PS16
are left
Problem Solving
© Harcourt • Grade 1
Lesson 3.2
Name
Use Symbols to Subtract
There are 6 .
3 roll away.
How many are left?
1. Use the picture. Write the subtraction sentence.
6
-
3
2. Write how many are left.
= 3
are left
Use the picture. Write the subtraction sentence.
3. Bob has 5
.
He loses 2 .
How many are left?
are left
4. Challenge Gwen uses the picture below to write a
subtraction sentence. Is her sentence correct?
514
yes
no
Write the correct subtraction sentence.
PS17
Problem Solving
© Harcourt • Grade 1
Lesson 3.3
Name
Algebra: Subtract All or 0
Nya has 3 .
She eats all her
Jon has 3
He eats 0
.
.
.
1. Match each child to the correct picture.
Nya
Jon
2. Write the subtraction sentence for Nya.
3. Write the subtraction sentence for Jon.
Circle the picture that matches.
Write the subtraction sentence.
4. There are 4
.
They all fly away.
5. Challenge Dennis had 6
.
Now he has none.
Did he eat all or 0? Circle.
all
PS18
0
Problem Solving
© Harcourt • Grade 1
Lesson 3.4
Name
Algebra: Take Apart Numbers from 8 or Less
There are 8 .
Children drink 3 of them.
How many
are left?
1. Use
to show the
.
2. Take off 3
to show
how many children drink.
3. Complete the subtraction sentence.
4. How many
are left?
5
83 5
Use
to solve.
Complete the subtraction sentence.
6. Josh has 8
.
Children eat 2 of them.
How many
are left?
5. Maria has 7 .
4 of them are red.
The rest are white.
How many are white?
82
74
7.
Challenge Mary sees 7 . Some fly away.
Then there are 5
left. Circle the subtraction
sentence that shows how many
fly away.
523
752
PS19
743
Problem Solving
© Harcourt • Grade 1
Lesson 3.5
Name
Vertical Subtraction Sentences
Farmer Joe has 4 .
He sells 3 of them.
How many
are left?
1. Subtract across.
2. Subtract down.
4
43 1
3
1
3. How many
does Farmer Joe have left?
4. Subtract across. Subtract down.
Marie has 6 .
She gives 4 of them away.
How many are left?
1
6
4
64
How many
does Marie have left?
5. Challenge 7
are in a pond.
Some hop away. There are 2
left.
How many
hopped away?
7
2
7
2
PS20
Problem Solving
© Harcourt • Grade 1
Lesson 3.6
Name
Model Part-Part-Whole
Workmat
Gary has 7 pieces of fruit.
Whole
5 are
. The rest are
?
How many are
1. The whole is
7
.
7
Part
Part
5
.
2. The part you know is
.
3. Use Workmat 10 and
.
Complete the subtraction sentence.
7 5 whole
part
part
Use Workmat 10 and
.
Complete the subtraction sentence.
4. Zara has 8 trucks.
She has 3
.
The rest are
.
How many are
?
8 3 whole
part
part
5. Challenge Make up your own story. Write the numbers.
Molly had
.
She lost
of them.
How many
does she have left?
left
PS21
Problem Solving
© Harcourt • Grade 1
Lesson 3.7
Name
Subtract to Compare
There are 6
.
There are 4
.
?
How many more
1. Draw lines to match.
2. Subtract to compare.
64 2
3. There are
more
.
Draw lines to match.
Subtract to compare.
4. There are 5
There are 2
.
.
How many fewer
?
52
There are
fewer
.
5. Challenge There are 5 friends.
Tyra has 3 . How many more does she need?
Write a subtraction sentence to solve.
more
PS22
Problem Solving
© Harcourt • Grade 1
Lesson 3.8
Name
I\X[`e^
Jb`cc
Paraphrase
You can use
to solve a problem.
There are 5 boys on bikes. 2 go home.
How many boys are left?
1. How many
will you
use to show the boys?
2. How many
5
will you take away?
. Cross out to show
the boys that go home.
2
3. Draw the
4. Write how many boys are left.
Use
to solve. Draw the
3
boys
.
5. There are 6 girls playing.
4 girls go home.
How many girls are
still playing?
girls
6. The park has 4 slides.
1 slide is yellow.
The rest are green.
How many slides are
green?
green slides
PS23
Reading Skill
© Harcourt • Grade 1
Lesson 4.1
Name
Create Addition and Subtraction Problems
Use
and Workmat 2 to show each story.
Write the numbers to complete the story.
1. There are
7
birds.
2.
birds stay.
3.
birds fly away.
4. There are
cars.
5.
cars are driven away.
6.
cars stay.
7.
Challenge Draw a picture to go with the story.
There are 7 ants.
2 crawl away.
How many are left?
There are
ants left.
PS24
Problem Solving
© Harcourt • Grade 1
Lesson 4.2
Name
Model Addition and Subtraction
Draw a picture to go with the story. Add. Then subtract.
There are 5 blue fish.
There are 3 red fish.
1.
2.
53
3.
83
6.
62
There are 4 purple grapes.
There are 2 green grapes.
4.
5.
7.
42
Challenge Write an addition sentence to go with the
picture. Then write a subtraction sentence.
PS25
Problem Solving
© Harcourt • Grade 1
Lesson 4.3
Name
Related Facts
Write each sum or difference.
Use the chart to answer the question.
1. Lynn
2. Anne
3. Max
31
4
31
41
4. Which two friends write related facts? Circle them.
Lynn
Anne
Max
Complete each fact.
Use the chart to answer the question.
6. Lou
32
32
7. Liz
52
5. Ivan
8. Which two friends write related facts? Circle them.
Ivan
Lou
Liz
9. Challenge Color some
red and
some blue. Write related facts to
go with them.
PS26
Problem Solving
© Harcourt • Grade 1
Lesson 4.4
Name
Write Addition and Subtraction Sentences
Write the number sentences for each story.
Tammy has 5 muffins.
She eats 3 of them.
1.
Vin has 3 orange juices.
He gets 4 apple juices.
2.
3. Challenge Draw a picture to
match the number sentence.
PS27
752
Problem Solving
© Harcourt • Grade 1
Lesson 4.5
Name
I\X[`e^
Jb`cc
Reread
Reread for words like in all or are left.
They tell you to add or subtract.
There are 6 buses.
3 are driven away.
How many buses are left?
1. Reread the question. Circle the words that tell you to add or
subtract.
add
2. Will you add or subtract?
subtract
6 - 3 = 3
3. Write a number sentence
to solve.
buses
Circle add or subtract.
Write the number sentence.
4. There are 7 white mice.
add
subtract
add
subtract
There are 2 gray mice.
How many are there in all?
5. There are 4 kickballs.
3 roll away.
How many are left?
PS28
Reading Skill
© Harcourt • Grade 1
Lesson 5.1
Name
Count On 1 or 2
There are 7
in the barn.
2 more go in the barn.
How many
are there in all?
1. Say 7.
2. Use
7
to count on 2 more.
3. Draw the
8
9
.
4. Write the sum.
72
Use to count on. Draw the
Write the sum.
.
5. There are 5
in the barn.
1 more goes in the barn.
How many
are there in all?
5
51
6. There are 9
in the barn.
2 more go in the barn.
How many
are there in all?
9
92
7. Challenge There are 10 cows in all.
8 are
and some are
.
How many are
? Write the number.
8
10 cows
PS29
Problem Solving
© Harcourt • Grade 1
Lesson 5.2
Name
Use a Number Line to Count On
There are 6 boats.
3 more boats come.
How many boats are there in all?
0
1
2
3
4
5
6
7
8
9
10 11
12
1. Use the number line to count on.
Start on 6. Move 3 spaces to the right.
2. Draw the moves.
3. Write the sum.
63 9
4. Write how many there are in all.
boats
Use the number line to count on.
Draw the moves. Write the sum.
5. There are 5 boats.
2 more boats come.
How many boats are there in all?
0
1
2
3
4
5
6
7
8
9
10 11
12
52
How many boats are there in all?
boats
6. Challenge There are 11 boats in all.
Some of the boats are white and some are red.
8 of the boats are white. How many are red?
Write the number.
8
11 boats
PS30
Problem Solving
© Harcourt • Grade 1
Lesson 5.3
Name
Count On Practice
There is 1 yellow fish.
There are 5 green fish.
How many fish are there in all?
15 6
1. Circle the greater number.
2. Count on. Write the sum.
3. Write how many there are in all.
fish
Circle the greater number.
Count on. Write the sum.
4. There are 6 ducks.
2 ducks join them.
How many ducks are there now?
62
How many ducks are there now?
ducks
5. There are 3 turtles.
7 turtles join them.
How many turtles are there now?
37
How many turtles are there now?
turtles
6. Challenge Write an addition sentence
that tells about the picture.
frogs
PS31
Problem Solving
© Harcourt • Grade 1
Lesson 5.4
Name
Add Doubles
There are 3 yellow butterflies.
There are 3 blue butterflies.
How many butterflies
are there in all?
1. Use
to show the butterflies.
2. Draw the
3
.
3. Write the doubles fact.
4. Write how many there are in all.
3
6
butterflies
Use . Draw the .
Write the doubles fact.
5. There are 4 green bugs.
There are 4 black bugs.
How many bugs
are there in all?
There are
bugs in all.
6. Challenge There are 12 beetles.
Some are big and some are small.
The same number are big as are small.
How many are big?
beetles
How many are small?
beetles
PS32
Problem Solving
© Harcourt • Grade 1
Lesson 5.5
Name
Doubles and Near Doubles
Sam has 2 brown puppies
and 3 black puppies.
How many puppies does he have in all?
1. Use
to show the puppies.
2. Draw the
.
3. Write the doubles plus one fact.
4. How many puppies
does Sam have?
2
3
5
puppies
Use . Draw the .
Write the near doubles fact.
5. There are 5 striped cats.
There are 4 gray cats.
How many cats
are there in all?
There are
cats in all.
6. Challenge Joe has 11 fish.
6 are orange. The rest are blue.
How many are blue?
Draw a picture. Complete the
addition sentence.
6
11 fish
PS33
Problem Solving
© Harcourt • Grade 1
Lesson 5.6
Name
Use the Strategies
Tyra has these bags of beads.
She strings the dotted beads and
the striped beads together.
How many beads are on the string?
1. How many dotted beads are there?
6
2. How many striped beads are there?
3. Write an addition sentence.
4. How many beads are on the string?
beads
Look at the bags of beads above.
Write an addition sentence to solve.
5. How many beads are on a string
made with the white beads
and the gray beads?
beads
beads
6. How many beads are on a string
made with the star beads
and the square beads?
7. Challenge Make up your own problem.
Choose two bags of beads. Write the number in all.
Beads:
and
PS34
beads
Problem Solving
© Harcourt • Grade 1
Lesson 5.7
Name
I\X[`e^
Jb`cc
Reread
After you read the problem, read it again.
Look for important information.
There are 9 flowers in all.
5 flowers are red. The rest are yellow.
How many flowers are yellow?
1. How many flowers are there in all?
9
5
2. How many flowers are red?
3. Draw all the flowers. Color 5 red.
Color the rest yellow.
4. How many are yellow?
4
flowers
After you read the problem, read it again.
Draw a picture to solve.
5. There are 6 balloons in all.
4 balloons are green.
The rest are blue.
How many balloons are blue?
blue balloons.
6. There are 10 balls in all.
5 balls are brown.
The rest are white.
How many balls are white?
white balls.
PS35
Reading Skill
© Harcourt • Grade 1
Lesson 6.1
Name
Use a Number Line to Count Back 1 and 2
There are 7 crabs. 1 crawls away.
How many crabs are left?
1. Use the number line to show the problem.
Draw the jump.
0
1
2
4
3
5
6
2. Write the difference.
71
7
8
9
10
11 12
6
3. How many crabs are left?
crabs
Use the number line. Draw the jumps.
Write the difference.
4. Pat sees 5 fish. 2 swim away.
How many fish are left?
0
1
2
3
4
5
6
7
8
9
10
11 12
10
11 12
52
fish
5. Challenge There are 6 birds.
1 flies away. 1 more flies away.
How many birds are left?
0
1
2
3
4
5
6
PS36
birds
7
8
9
Problem Solving
© Harcourt • Grade 1
Lesson 6.2
Name
Use a Number Line to Count Back 3
Ken has 4 shells. He gives 3 to a friend.
How many shells does Ken have left?
1. Use the number line to show the problem.
Draw the jumps.
0
1
2
4
3
6
5
7
8
9
10
11 12
2. Write the difference.
43
1
3. How many shells does Ken have left?
shell
Use the number line. Draw the jumps.
Write the difference.
4. There are 11 turtles on the beach. 3 leave.
How many turtles are left?
0
1
2
3
4
6
5
7
8
9
10
11 12
11 3 turtles
5. Challenge There are 9 whales.
Some swim away. 7 are left.
How many swam away?
0
1
2
3
4
5
whales
6
PS37
7
8
9
10
11 12
Problem Solving
© Harcourt • Grade 1
Lesson 6.3
Name
Think Addition to Subtract
5 ducks swim on a pond.
2 ducks swim away.
How many ducks are left?
1. Think addition to subtract
Use
and
.
2. Write the numbers.
2
3 5
52
3. Write how many ducks are left.
3
ducks
Think addition to subtract.
Use
and . Write the numbers.
4. There are 9 frogs in a pond.
3 frogs swim away.
How many frogs are left?
3
9
93
How many frogs are left?
frogs
5. Challenge Look at the picture.
Write addition and subtraction number sentences.
PS38
Problem Solving
© Harcourt • Grade 1
Lesson 6.4
Name
Practice the Strategies
There are 7 lobsters on a rock.
2 jump off. How many are left?
1. How will you solve the problem? Circle.
count back
think addition to subtract
2. Complete the subtraction sentence.
Use the number line to help.
0
1
2
3
4
6
5
7
8
9
10
11 12
72
3. How many lobsters are left?
lobsters
4. Jan sees 10 clams. 5 are big.
The rest are small. How many are small?
How will you solve the problem? Circle.
count back
think addition to subtract
Complete the subtraction sentence.
10 5 small clams
5. Challenge Deb saw 8 crabs.
Some of them ran away. 3 crabs
stayed. How many crabs ran away?
Write a number sentence.
crabs
PS39
Problem Solving
© Harcourt • Grade 1
Lesson 6.5
Name
I\X[`e^
Jb`cc
Use Picture Clues
You can use a picture to help
you solve a problem.
There are 6 whales. 4 swim away.
How many whales are left?
1. How many whales are there?
6
2. Draw the whales.
3. Cross out the whales
that swim away.
4. Use the picture to write a number sentence.
6
–
4
=
2
2
whales
Draw a picture. Write a number sentence.
5. Liz has 9 shells
She gives 3 away.
How many shells are left?
shells
6. Sam has 8 fish. 6 are blue.
The rest are green.
How many fish are green?
green fish
PS40
Reading Skill
© Harcourt • Grade 1
Lesson 7.1
Name
Related Addition Facts
Randy has 5 big fish and
3 small fish. How many fish
does Randy have?
5
1. Write a number sentence to
3
show Randy’s fish.
8
2. Write the related
addition fact.
3. Randy has
8
fish.
3
5
8
Solve. Then write the related addition fact.
4. Jason has 4 gray mice
5. Challenge Cambra has
and 5 brown mice. How
many mice does Jason
have?
Jason has
mice.
7 blue birds and 4 red
birds. How many birds does
Cambra have?
Cambra has
birds.
4
5
PS41
Problem Solving
© Harcourt • Grade 1
Lesson 7.2
Name
Related Subtraction Facts
Hana and Chris each have
6 rabbits. Hana gives 2 away and
Chris gives 4 away. How many
rabbits do Hana and Chris
have now?
62 4
1. Write a number sentence to
show the rabbits that Hana
gives away.
show the rabbits that Chris
gives away.
3. Hana has
4
rabbits.
2
64
2. Write a number sentence to
4. Chris has
2
rabbits.
Solve.
5. Mel and Ann each have 8
6. Challenge Sue and Ivan
fish. Mel gives 5 away and
Ann gives 3 away. How
many fish do Mel and Ann
have now?
each have 12 fish. Sue
gives 4 away and Ivan gives
8 away. Write the number
sentences to show how
many fish they have now.
85
83
Mel has
fish.
Sue has
fish.
Ann has
fish.
Ivan has
fish.
PS42
Problem Solving
© Harcourt • Grade 1
Lesson 7.3
Name
Build Fact Families
Janelle draws 7 bears in all.
5 are white and 2 are black.
What fact family does her picture show?
1. Write related addition sentences to show the bears.
5 2 7
2 5 7
2. Write related subtraction sentences to show the bears.
7 2 5
7 5 2
3. Write the numbers in the fact family.
2 5 7
Complete the number sentence to solve.
4. Kim draws 9 trees in all. 6 are big and 3 are small.
What fact family does his picture show?
63
36
93
96
5. Challenge Kay counts 11 fish in all. 9 are yellow and some
are purple. Complete the number sentences. Write the
numbers in the fact family.
9
11 11 9 9 11 11 9
PS43
Problem Solving
© Harcourt • Grade 1
Lesson 7.4
Name
Record Fact Families
Tia counts 5 flowers in all. 3 are
red and 2 are white. What
is the fact family?
1. Write the three numbers in
the fact family.
2
3
3
2
5
2. Use the numbers to
complete the fact family.
5
5
2 5
5
3
3
2
2
3
Write the numbers in the fact family. Complete the fact family.
3. Phil draws 7 deer in all. 4 are small and 3 are big.
4
7
3 4 7 3 4. Challenge Alex counts 6 blue birds and 4 red birds.
Write the number sentences in the fact family.
PS44
Problem Solving
© Harcourt • Grade 1
Lesson 7.5
Name
Algebra: Follow the Rule
Cindy puts 3 more counters in
each group. How many counters
are in each group now?
1. Follow a rule to complete the table.
2. Add 3 to each number.
Add 3
2
5
8
5
8
11
Follow a rule to solve.
3. Jon takes 4 pencils off each desk.
How many pencils are on each
desk now?
Subtract 4
10
7
4
4. Challenge Nora takes 2 books out of each box.
What rule can she use to show how many books are left
in each box? Circle.
Add 1
Subtract 2
Add 4
PS45
Subtract 4
Problem Solving
© Harcourt • Grade 1
Lesson 7.6
Name
Algebra: Make Sums and Differences to 12
There are red and green apples.
Tom wants 5 of them. What are some ways
he could make 5?
1. Use
to show each sentence.
32
21
62
72
2. Circle the ways that make 5.
Circle the ways that make the number.
Use
if you need to.
3. There are big and small marbles. Lauren
wants 12 of them. What are some ways
she could make 12?
55
93
10 2
12 0
4. Challenge Lee gives 7 party hats to friends.
Some are blue hats. Some are purple hats.
Write two ways Lee could make 7.
PS46
Problem Solving
© Harcourt • Grade 1
Lesson 7.7
Name
Create Addition and Subtraction Problems
Ethan draws a picture of trucks.
What addition and subtraction
problems can you make from
his picture?
1. First write the addition
2. Then write the subtraction
problem.
2
2
problem.
4
2
small trucks
big trucks
How many trucks are there?
2 + 2 = 4
trucks altogether
big trucks
How many trucks are small?
4
-
2 = 2
Write the numbers and the number sentence.
Patty draws a picture of flowers. 2 are pink and 3 are yellow.
What addition and subtraction sentences can you make from
her picture?
3.
pink flowers
flowers altogether
yellow flowers
pink flowers
How many flowers are there?
How many flowers are yellow?
4. Challenge Helen counts 12 birds in a tree. 8 birds are yellow
and 4 are orange. The orange birds fly away. How many birds
are left? Write a subtraction sentence to show the story.
PS47
Problem Solving
© Harcourt • Grade 1
Lesson 7.8
Name
I\X[`e^
Jb`cc
Use Picture Clues
Use picture clues to decide how many to subtract.
Look at the picture below.
There are 10 balloons.
Some balloons fly away.
There are 6 balloons left.
How many flew away?
You know that there are 6 balloons left.
Cross out the other balloons in the picture to solve.
4
4
How many did you cross out?
How many flew away?
balloons
balloons
Draw a picture for each problem.
Cross out to solve.
1. There are 12 butterflies.
Some butterflies fly away.
There are 5 butterflies left.
How many flew away?
butterflies
2. There are 8 children.
Some go home.
There are 3 children left.
How many went home?
children
PS48
Reading Skill
© Harcourt • Grade 1
Lesson 8.1
Name
Algebra: Sort and Classify
Karen collected some shells.
She sorts her shells into these groups.
A
B
In which group does this shell belong?
1. Circle how the shells were sorted.
by color
by size
by shape
2. Is the new shell big or small?
big
small
3. In which group does the shell belong?
A
B
A
B
A
B
4. In which group does this shell belong?
5. Challenge Draw a new shell to
go in one of Karen’s groups.
Circle the group it goes in.
PS49
Problem Solving
© Harcourt • Grade 1
Lesson 8.2
Name
Algebra: More Sorting and Classifying
Todd sorts buttons into these groups.
A
B
C
In which group does this button belong?
1. Circle how the buttons were sorted.
by shape
by holes
by size
2. How many holes does the new button have?
2
3
4
B
C
B
C
3. In which group does the button belong?
A
4. In which group does this button belong?
A
5. Challenge Draw a new button to go in
one of Todd’s groups. Circle the group it goes in.
A
PS50
B
C
Problem Solving
© Harcourt • Grade 1
Lesson 8.3
Name
Concrete Graphs
Sasha’s class made this graph with their shoes.
Which kind of shoe did the most children wear?
Our Shoes
1. Write how many children wore each kind of shoe.
4
2. Circle the shoe that the most children wore.
3. Circle the shoe that the fewest children wore.
4. Challenge How many children wore
and
?
Write a number sentence.
in all
PS51
Problem Solving
© Harcourt • Grade 1
Lesson 8.4
Name
Picture Graphs
The picture graph shows what Sam
and his friends chose for lunch.
How many more chose pizza than soup?
Each picture
stands for 1.
Our Lunch Choices
pizza
hot dogs
soup
1. How many chose pizza?
5
2. How many chose soup?
3. Subtract.
pizza
soup
more
4. How many more chose hot dogs than soup?
Subtract.
5. Challenge In Rosa’s family there are 3 girls.
There are 2 more boys than girls. Draw
on the graph to show her family.
Rosa’s Family
girls
more
Draw one
picture for each
child.
boys
PS52
Problem Solving
© Harcourt • Grade 1
Lesson 8.5
Name
I\X[`e^
Jb`cc
Use Graphic Aids
Barb asked her friends to vote for a favorite
figure. Here are the figures they chose.
Which figure got the most votes?
Our Favorite Figures
1. Draw the figures to make a graph.
2. Write how many votes each figure got.
2
3. Circle the figure that got the most votes.
4. How many more children voted
for
than
?
more
5. How many fewer children voted
for
than
?
fewer
PS53
Reading Skill
© Harcourt • Grade 1
Lesson 9.1
Name
Tally Charts
Ms. Lee’s class chose their favorite fruits.
Write each total.
Fruits We Like
Total
6
6
1. How many children chose apples?
2. How many children chose bananas?
3. How many children chose
or
children
children
?
children
Use the chart above to solve.
4. How many children chose grapes?
children
5. Which fruit got the most votes? Circle.
6. How many more children like
grapes than bananas?
more
7. Challenge Ms. Lee asks her class
if they like juice. 5 children like
juice. Fill in the tally chart.
Juice We Like
Total
PS54
Problem Solving
© Harcourt • Grade 1
Lesson 9.2
Name
Bar Graphs
A class chose animals they like.
Animals
Animals We Like
rabbit
lion
turtle
0
1
2 3 4 5 6
Number of Children
7
1. How many children chose each animal?
4
rabbit
lion
turtle
2. Circle the animal that the most children chose.
3. Circle the animal that the fewest children chose.
4. How many more children chose
the lion than the rabbit?
more
5. Challenge How many children chose animals they like.
PS55
children
Problem Solving
© Harcourt • Grade 1
Lesson 9.3
Name
Possible or Impossible
Nora is handing out crayons.
It is impossible to pull a red crayon.
It is possible to pull a green crayon.
Nora’s
Crayons
How can you color the crayons in
Nora’s box?
1. Will you color any crayons red? Circle.
yes
no
2. Will you color any crayons green? Circle.
yes
no
3. Color the crayons in Nora’s box.
4. Paul is eating grapes from a bowl.
It is possible to pull a green grape.
It is also possible to pull a purple grape.
Color Paul’s grapes.
5. Challenge Look at the picture below. Cross out fruit to
make it impossible to get a banana. Draw fruit to make
it possible to get an orange.
PS56
Problem Solving
© Harcourt • Grade 1
Lesson 9.4
Name
More Likely, Less Likely
Jana puts 10 marbles in a box.
4 marbles are red and 6 are blue.
Is she more likely to pull a red
marble or a blue marble?
1. Color the marbles to show the problem.
2. Are there more red or blue marbles?
blue
3. Which color is Jana more likely to pull?
Color to show the problem.
Tell which is less likely.
4. Sam puts 9 blocks in a box.
2 are green and 7 are orange.
Which color is he less likely to pull?
5. Challenge There are blue and green presents
on the table. Color the presents so that it is
more likely to choose a green present.
PS57
Problem Solving
© Harcourt • Grade 1
Lesson 9.5
Name
I\X[`e^
Jb`cc
Make Predictions
You decide what you think will happen
when you make a prediction.
There are 4 red cubes and 8 blue
cubes in a bag. Lily pulls one cube.
Which color is she more likely
to pull?
1. Color 4 cubes red and 8 cubes blue.
blue
2. Predict the color Lily will pull.
3. Test your prediction. Put 4 red cubes
and 8 blue cubes in a bag. Pull five cubes.
4. Record your test using tally marks.
5. Was your prediction correct? Circle.
yes
no
Predict. Then test your prediction. Pull five cubes.
Record your test using tally marks.
6. There are 6 red cubes and
2 blue cubes in a bag.
Which color are you more likely to pull?
7. Record your test.
8. Was your prediction correct? Circle.
yes
no
yes
no
9. There are 3 red cubes and
7 blue cubes in a bag.
Which color are you more likely to pull?
10. Record your test.
11. Was your prediction correct? Circle.
PS58
Reading Skill
© Harcourt • Grade 1
Lesson 10.1
Name
Make Ten and More
Jack picks 14 melons.
How many groups of ten are there?
How many ones are there?
Tens
Ones
1. Use Workmat 3 and
.
Make groups of tens and ones.
2. Draw your work.
3. How many groups of ten are there?
4. How many ones are there?
1
ten
ones
Use Workmat 3 and .
Make groups of tens and ones.
Draw your work. Write how many.
Tens
Ones
5. Sara picks 17 peppers.
How many groups of ten are there?
How many ones are there?
ten
ones
6. Challenge Kate picks this many pumpkins.
Circle a group of ten. Write how many tens
and ones. Write the number.
ten
ones
pumpkins in all
PS59
Problem Solving
© Harcourt • Grade 1
Lesson 10.2
Name
Tens
Mike has 4 baskets of apples.
There are 10 apples in each basket.
How many apples are there in all?
1. Use
. Make groups of ten.
2. Draw the tens.
3. Count by tens.
10 20 30 40
4. How many apples are there in all?
40
apples
Use . Make groups of ten.
Draw the tens. Write how many.
5. Nancy has 6 bags of apples.
There are 10 apples in each
bag. How many apples are
there in all?
apples
6. Challenge Sid can put
10 apples in one basket.
How many baskets does
he need for 70 apples?
Draw the tens to solve.
Sid needs
baskets.
PS60
Problem Solving
© Harcourt • Grade 1
Lesson 10.3
Name
Tens and Ones to 50
Rick puts leaves into these groups.
How many leaves are there in all?
1. There are
2. There are
3
2
groups of ten.
ones.
3. Write the number.
Write how many tens and ones.
Write the number.
4. Tess puts leaves into these groups.
How many leaves are there in all?
There are
groups of ten.
There are
ones.
There are
leaves in all.
5. Challenge Dan puts leaves in two groups of ten.
He has 3 leaves left over. How many leaves does
Dan have? Draw a picture and write the number.
leaves
PS61
Problem Solving
© Harcourt • Grade 1
Lesson 10.4
Name
Tens and Ones to 100
Beth makes these groups of acorns.
How many acorns are there in all?
1. There are
2. There are
8
5
groups of ten.
ones.
3. Write the number.
Write how many tens and ones.
Write the number.
4. Omar makes these groups of acorns.
How many acorns are there in all?
There are
groups of ten.
There are
ones.
There are
acorns in all.
5. Challenge Bree’s acorns are
in 6 groups of ten with 2 left over.
How many acorns does she
have in all? Draw a picture and
write the number.
acorns
PS62
Problem Solving
© Harcourt • Grade 1
Lesson 10.5
Name
Algebra: Ways to Expand Numbers
Joe buys 5 sheets of stickers.
There are ten stickers on each sheet.
Joe buys 3 more stickers.
How many stickers does Joe buy in all?
2.
3.
3
5
5 tens is 50
50 3
and 3 ones is
Joe buys
stickers.
1. There are
tens and
ones.
3
.
53
Write how many tens and ones.
Write the number two ways.
4. Karen buys 8 sheets of stickers.
There are ten stickers on each sheet.
She also buys 9 more stickers.
How many stickers does Karen buy in all?
tens
ones
stickers
5. Challenge Tom buys 40 6 stickers.
He buys some stickers in sheets of ten.
He also buys more stickers.
How many sheets of stickers does he buy?
How many more does he buy?
PS63
sheets
more
Problem Solving
© Harcourt • Grade 1
Lesson 10.6
Name
I\X[`e^
Jb`cc
Compare and Contrast
When you compare and contrast, you tell how
two or more things are alike and different.
1
about 10
about 100
About how many
can you hold in one hand?
about
1. Compare the three numbers.
1
100
10
is too few.
is too many.
is about right.
2. Circle the best estimate.
Compare and contrast the three numbers.
Circle the best estimate.
about 3
3. About how many
about 30
can you hold in one hand?
about 300
1
about 10
about 100
about
4. About how many
will fill one cup?
4
about 40
about 400
about
5. About how many
will fit in one backpack?
PS64
Reading Skill
© Harcourt • Grade 1
Lesson 11.1
Name
Algebra: Greater Than
Missy has 34
. Nick has 29
Who has the greater number of
1. Use
.
?
to show
each number.
2. Compare the numbers.
3. Write the numbers.
34
is greater than
29
34
29
4. Circle who has the greater number of
.
Missy
Nick
Chris
Zoe
Use
. Compare the numbers.
Write the numbers.
5. Chris has 59
. Zoe has 61
Who has the greater number of
.
?
is greater than
Who has the greater number of
?
6. Challenge Ming has more than 45
.
She has less than 47
.
How many
does Ming have?
Ming has
.
PS65
Problem Solving
© Harcourt • Grade 1
Lesson 11.2
Name
Algebra: Less Than
Sue has 37 .
She needs one
for each child in school.
There are 52 children in school.
Does she have enough ?
1. Use
to show each number.
2. Compare the numbers.
3. Write the numbers.
37
is less than
52
4. Does Sue have enough
? Circle.
37
52
yes
no
Use
. Compare the numbers.
Write the numbers.
5. Ron has 21 . He invites 12 children to his party.
Does he have enough
?
is less than
Does Ron have enough
? Circle.
no
6. Challenge Ruth has 46
Jack has 61
.
. Who has fewer
yes
has fewer
?
.
PS66
Problem Solving
© Harcourt • Grade 1
Lesson 11.3
Name
Algebra: Use Symbols to Compare
Gina has a book with 62 pages.
Hank has a book with 48 pages.
Whose book has more pages?
1. Use
to show each number.
2. Compare the numbers.
3. Write greater than or less than.
62 is
greater than
48.
62
48
4. Write or .
62
48
5. Who has a book with more pages? Circle.
Gina
Hank
Ann
Joe
Use
. Compare the numbers.
Write greater than or less than. Write or .
6. Ann has a book with 56 pages.
Joe has a book with 65 pages.
Whose book has more pages?
56 is
65.
56
65
Who has a book with more pages?
7. Challenge Rosa’s book has more pages than Carol’s book.
Compare numbers to show how many pages could be in each
book.
Rosa
Carol
PS67
Problem Solving
© Harcourt • Grade 1
Lesson 11.4
Name
One More, One Less
Kira has 23
.
than Kira.
Sam has one more
How many
does Sam have?
to show 23.
2. Use
to show one more than 23.
3. Write the number.
Sam has
Use
one
more
23
1. Use
24
.
. Write the number.
4. Josie has 38
.
Lee has one fewer
than Josie.
How many
does Lee have?
5. Martin has 59
.
Lena has one more
than Martin.
How many
does Lena have?
6. Paul has 50
.
Dana has one fewer
than Paul.
How many does Dana have?
7. Challenge Jill has 33
. Yann has one more
than Jill. Ted has one less than Jill. Write
how many
each child has.
33
Jill
Yann
Ted
PS68
Problem Solving
© Harcourt • Grade 1
Lesson 11.5
Name
Ten More, Ten Less
Dan has 45
.
than Dan.
Manju has ten more
How many
does Manju have?
45
1. Use
to show 45.
2. Use
to show ten more than 45.
ten
more
3. Write the number.
Manju has
Use
55
.
. Write the number.
4. Carrie has 76
.
Brian has ten fewer than Carrie.
How many does Brian have?
5. Jesse has 31
.
Lori has ten more than Jesse.
How many does Lori have?
6. Kate has 90
.
Pam has ten fewer than Kate.
How many does Pam have?
7. Challenge Kim has 21
. Josh has ten more
than Kim. Carl has ten less than Kim. Write
how many each child has.
21
Kim
Josh
Carl
PS69
Problem Solving
© Harcourt • Grade 1
Lesson 11.6
Name
Order on a Number Line
Anna has a number between 43 and 45.
Li has a number just after the number Anna has.
What numbers do Anna and Li have?
1. Write the number that is between.
2. Anna has the number
43 44 45
.
3. Circle the number just after the number Anna has.
4. Li has the number
.
5. Tom has a number between 97 and 99.
Andy has a number just before the
number Tom has.
What numbers do Tom and Andy have?
Tom has the number
97
99
79
81
.
Andy has the number
.
6. Jan has a number between 79 and 81.
Sumi has a number just after the
number Jan has.
What numbers do Jan and Sumi have?
Jan has the number
.
Sumi has the number
7.
.
Challenge Eric has a number between 26 and 30.
It is not just before 30. It is not just after 26.
What number does Eric have? Cross out numbers to solve.
Eric has the number
26 27
28
.
29 30
PS70
Problem Solving
© Harcourt • Grade 1
Lesson 11.7
Name
Order 3 Numbers
The first grade at Lincoln School has 34 students.
The second grade has 52 students.
The third grade has 25 students.
Which grade has the most students?
1. Think about the tens and ones
first
grade
second
grade
third
grade
34
52
25
in each number.
2. Compare the numbers.
Write them in order
25
34
least
52
greatest
3. Which grade has the most students?
grade
Write the numbers in order to solve.
4. The first grade has 76 books.
The second grade has 85 books.
The third grade has 67 books.
Which grade has the fewest books?
least
grade
greatest
5. Challenge Pete, Raj, and Adam save stamps.
Pete has the fewest. Adam has the most. Write
how many stamps each child could have.
Pete
Raj
Stamp
Adam
PS71
Problem Solving
© Harcourt • Grade 1
Lesson 11.8
Name
I\X[`e^
Jb`cc
Use Graphic Aids
You can compare information in a table.
Read the table from left to right.
Lincoln School collects cans for recycling.
Which grade collected the most cans?
1. Compare the numbers.
28
Which has the fewest tens?
Cans We Collected
First Grade
Second Grade
Third Grade
Fourth Grade
2. Which numbers have the next fewest tens?
42
39
28
37
and
3. Write the numbers in order.
least
greatest
4. Which grade collected the most cans?
grade
Use the table to answer the questions.
The table shows the number
of points for each team.
Team Points
5.
least
greatest
6. Which team has the fewest points?
7.
Bears
Wolves
Eagles
Tigers
28
23
32
28
Which team has the most points?
8. Which two teams have the same number of points?
and
PS72
Reading Skill
© Harcourt • Grade 1
Lesson 12.1
Name
Count Forward and Backward
Rita has 43 pinwheels.
She buys 6 more pinwheels.
How many pinwheels does
she have now?
43
1. Write the starting number.
pinwheels
2. Count forward 6 more.
43, 44 ,
,
,
,
,
3. Write the answer.
Rita has
49
pinwheels.
Count forward to solve.
4. There are 62 red pinwheels.
There are 5 blue pinwheels.
How many pinwheels are there in all?
62,
,
There are
,
,
,
pinwheels in all.
5. Challenge Count backward to solve.
Ben has 58 pinwheels.
He gives away 7 pinwheels.
How many pinwheels are left?
58,
There are
,
,
,
,
,
,
pinwheels left.
PS73
Problem Solving
© Harcourt • Grade 1
Lesson 12.2
Name
Skip Count by Twos, Fives, and Tens
Each hat has 2 bows. There are 8 hats.
How many bows are there in all?
1. Skip count by twos.
2
,
4
2. There are
6
,
16
8
,
10
,
,
12
,
14
,
16
bows in all.
Skip count to solve. Write the total.
3. Each hat has 5 bows. There are 9 hats.
How many bows are there in all?
5
,
,
,
There are
,
,
,
,
,
bows in all.
4. Each hat has 10 bows. There are 5 hats.
How many bows are there in all?
,
,
,
There are
,
bows in all.
5. Challenge Each hat has 10 bows.
There are 80 bows in all.
How many hats are there?
Skip count to find the answer.
,
There are
,
,
,
,
,
,
hats in all.
PS74
Problem Solving
© Harcourt • Grade 1
Lesson 12.3
Name
Algebra: Skip Count on a Hundred Chart
There are 5 children.
Each child wears 2 mittens.
How many mittens are there in all?
1. Skip count. Write the missing numbers.
1
2
3
5
7
9
2. Write how many
mittens there are in all.
mittens
Skip count to solve.
Write the missing numbers.
3. There are 8 gloves.
Each glove has 5 fingers.
How many fingers are there in all?
1
11
21
31
2
12
22
32
There are
3
13
23
33
4
14
24
34
6
16
26
36
7
17
27
37
8
18
28
38
9
19
29
39
fingers in all.
4. Challenge Use the chart in
Exercise 3 to solve.
Jack has 40 apples. He puts
10 apples in each box.
How many boxes does Jack fill?
Jack fills
boxes of apples.
PS75
Problem Solving
© Harcourt • Grade 1
Lesson 12.4
Name
Algebra: Counting Patterns
Use the chart to help
solve the problems.
Some of the houses
on Seven Street have
lost their numbers.
What numbers are
missing?
1
11
21
31
41
51
2
12
22
32
42
52
3
13
23
33
43
53
4
14
24
34
45
54
5
15
25
35
45
55
6
16
26
36
46
56
7
17
27
37
47
57
1. Look at the first two numbers.
How do you count to get from 7 to 17? Count by
8
18
28
38
48
58
9
19
29
39
49
59
10
20
30
40
50
60
tens
.
2. What number is ten more than 17?
3. Continue the pattern. Write the
missing numbers on the houses.
7
17
27
Count by tens. Write the numbers.
4. Some of the houses on Three Street have
lost their numbers. What numbers are missing?
3
13
5. Challenge Some of the houses on this street
have lost their numbers. What numbers are missing?
16
36
PS76
Problem Solving
© Harcourt • Grade 1
Lesson 12.5
Name
Algebra: Identify Number Patterns
The mail carrier delivers letters
to these houses. What are the
numbers of the next 4 houses?
28 30 32
1. Look at the numbers on the houses.
What is the pattern?
Count by
twos
.
2. Continue the pattern. Write the next 4 numbers.
28, 30, 32, 34 ,
,
,
Find the pattern. Write the numbers.
40 45 50
3. The mail carrier delivers letters
to these houses. What are the
numbers of the next 4 houses?
40, 45, 50,
,
,
,
4. The mail carrier delivers letters
20 30 40
to these houses. What are the
numbers of the next 4 houses?
20, 30, 40,
,
,
,
5. Challenge The mail carrier delivers letters
to these houses. Some of the numbers are
missing. Write the missing house numbers.
64
68
70
76
PS77
Problem Solving
© Harcourt • Grade 1
Lesson 12.6
Name
Even and Odd
Cory has 11 socks.
Does he have an even number
or an odd number of socks?
1. Use
to show 11.
Group them into pairs.
2. Circle to show if Cory has an even
number or an odd number of socks.
even
odd
even
odd
even
odd
even
odd
by twos.
There are none left over. Does Yuri have
an even number or an odd number of ? even
odd
Use
to show the number.
Group them into pairs.
Circle even or odd.
3. Sumi has 18 gloves.
Does she have an even number
or an odd number of gloves?
4. Kurt has 14 shoes.
Does he have an even number
or an odd number of shoes?
5. Kate has 17 boots.
Does she have an even number
or an odd number of boots?
6. Challenge Yuri counts his
PS78
Problem Solving
© Harcourt • Grade 1
Lesson 12.7
Name
I\X[`e^
Jb`cc
Use Graphic Aids
You can make a chart to solve a problem.
There are 7 sailboats.
Each boat has 2 sails.
How many sails are there in all?
1. Make a chart to show 7 boats.
Count by twos to find the number of sails.
number of boats
number of sails
2. There are
1
2
3
4
2
4
6
8
14
5
6
7
10 12 14
sails in all.
Complete the chart to solve the problem.
3. There are 6 cats.
Each cat has 5 kittens.
How many kittens are there in all?
1
number of cats
number of kittens
There are
2
3
4
5
6
kittens in all.
4. There are 8 vases.
Each vase has 10 flowers.
How many flowers are there in all?
1
number of vases
2
3
4
5
6
7
8
number of flowers
There are
flowers in all.
PS79
Reading Skill
© Harcourt • Grade 1
Lesson 13.1
Name
Sort Solid Figures
Sunny has a solid figure with only a curved surface.
All the other figures belong to Peter.
1. Cross out Sunny’s figure.
2. Look at the other figures.
Do some have a curved surface?
Do some have flat surfaces?
3. Circle the sorting rule to show the
figures Peter has.
only curved surfaces
curved and flat surfaces
Cross out figures to solve. Circle the rule.
4. Leo has solid figures with curved
and flat surfaces. All the other
figures belong to Mindy.
Which sorting rule shows the
figures Mindy has?
only flat surfaces
curved and flat surfaces
5. Challenge Cross out figures
that are in the wrong place.
Only Flat Surfaces
Curved and Flat Surfaces
PS80
Problem Solving
© Harcourt • Grade 1
Lesson 13.2
Name
Classify Solids
Vicki uses solid figures to make a tower.
All the solids have flat surfaces.
All the solids have more than 5 corners.
Which figures does she use?
1. Cross out figures that have no flat surfaces.
2. Cross out figures that have fewer than 6 corners.
3. Circle the figures that Vicki uses.
Cross out solids that are not used.
Circle solids that are used.
4. Art uses solid figures to make a tower.
All his solids have more than 1 flat surface.
All his solids have fewer than 6 corners.
Which figures does he use?
5. Challenge Jenna puts a rectangular prism
on a table. She stacks another solid on top of it.
She can not stack any more on top.
Which figure did Jenna use? Circle.
PS81
Problem Solving
© Harcourt • Grade 1
Lesson 13.3
Name
Plane Figures on Solids
Rita traces solids to make a picture.
Which solid was not used?
1. Color the solids that Rita could
trace to make her picture.
2. Which solid is left? Circle it.
Look at the picture. Circle the solid to solve.
3. Ed traces solids to make a picture.
Which solid was not used?
4. Challenge Zack makes a picture.
He only traces a cone and cube.
Draw a picture Zack could make.
PS82
Problem Solving
© Harcourt • Grade 1
Lesson 13.4
Name
Sort Plane Figures
Emma draws a picture with only
rectangles and circles. Which
picture did Emma draw?
1. Look at the first picture.
Does it have only rectangles and circles?
no
2. Look at the next picture.
Does it have only rectangles and circles?
3. Look at the last picture.
Does it have only rectangles and circles?
4. Color the picture Emma drew.
Color the picture to solve.
5. Jonas draws a picture with only rectangles
and triangles. Which picture did Jonas draw?
6. Challenge Find the figure that is different.
Color it.
PS83
Problem Solving
© Harcourt • Grade 1
Lesson 13.5
Name
Classify Plane Figures
Becca has these plane figures.
Which figure has more corners?
How many more?
1. Count the corners on each figure. Write how many.
5
3
2. Which has more corners? Circle.
3. Subtract to find how many
more.
more
Label the number of sides for each figure.
Circle the figure that has more.
Subtract to find how many more.
4. Tariq has these plane figures.
Which figure has more sides?
How many more?
sides
sides
more
5. Challenge Circle the figure that has the
fewest corners.
PS84
Problem Solving
© Harcourt • Grade 1
Lesson 13.6
Name
I\X[`e^
Jb`cc
Use Picture Clues
You can use picture clues to
help you solve problems.
Vera has a solid with a curved surface.
It also has flat surfaces.
Which figure does Vera have?
Use the picture to compare the figures.
Cross out the figure with no curved surface.
Cross out the figure with no flat surfaces.
Circle the solid Vera has.
Use picture clues to solve.
Cross out figures that do not match.
Circle the figure that is left.
1. Glenn has a figure with corners.
It has more than 5 corners.
Which figure does Glenn have?
2. Amy has a plane figure with
straight sides. It has more
than 4 sides. Which figure
does Amy have?
PS85
Reading Skill
© Harcourt • Grade 1
Lesson 14.1
Name
Algebra: Describe Patterns
Sue made a pattern with cubes.
What is the pattern unit?
1. Look at the pattern.
2. Circle the part that repeats.
Circle the first pattern unit.
3. Ben made a pattern with cubes.
What is the pattern unit?
4. Challenge Use 3 blue cubes and 6 red cubes to make a
pattern. Draw the cubes. Circle the first pattern unit.
PS86
Problem Solving
© Harcourt • Grade 1
Lesson 14.2
Name
Algebra: Extend Patterns
Joe sees these windows
on a train. If the pattern
continues, what window
comes next?
1. Draw to show the pattern.
2. Circle the pattern unit.
3. Draw what comes next.
4. Draw to show what comes next.
Matt sees these windows on a train.
If the pattern continues,
what window comes next?
5. Challenge The pattern unit is circled.
Draw the next four figures in the pattern.
PS87
Problem Solving
© Harcourt • Grade 1
Lesson 14.3
Name
Algebra: Pictorial Patterns
Mary lines up her toy cars this way.
1. Circle the pattern unit.
2. What is the last car? Circle.
3. Circle the car that comes next.
Circle what comes next.
4. Chris lines up his toy trains this way.
Which train comes next?
5. Challenge
comes next. Circle the first
pattern unit.
PS88
Problem Solving
© Harcourt • Grade 1
Lesson 14.4
Name
Algebra: Identify Patterns
Paul made this number pattern.
What number is missing?
4
4
5
4
5
4
4
5
4
1. Circle the first pattern unit.
2. What is the last number before the missing number?
Circle.
4
5
3. Write the missing number.
Circle the pattern unit.
Write the missing number.
4. Val made this number pattern.
7
8
8
8
7
8
8
8
What number is missing?
Challenge Write the missing numbers.
5.
6.
2
2
2
1
3
2
2
1
3
2
3
PS89
2
2
Problem Solving
© Harcourt • Grade 1
Lesson 14.5
Name
Algebra: Create New Patterns
Elena makes this sticker pattern.
1. Circle the pattern unit.
2. Count the number of each figure.
3
6
3. Which shows a different pattern
with the same figures?
4. Don makes this sticker pattern.
Which shows a different pattern with the same figures?
Circle.
5. Challenge Use the same figures to make two different
patterns. Draw the patterns. Circle each pattern unit.
PS90
Problem Solving
© Harcourt • Grade 1
Lesson 14.6
Name
Algebra: Transfer a Pattern
Mrs. Vargas has children stand and sit
to show this pattern. How can she use
letters to show the pattern?
1. Use A for standing.
Use B for sitting.
A
B
A
2. Write the new pattern.
B
A
B
A
B
ABABABAB
3. Mr. Johnson has children stand and sit
to show this pattern. Use letters to show
the same pattern.
4. Challenge Draw a pattern of circles and squares
to show the same pattern as A A B A A B A A B.
PS91
Problem Solving
© Harcourt • Grade 1
Lesson 14.7
Name
I\X[`e^
Jb`cc
Use Picture Clues
Use pictures to help you solve problems.
Tara uses beads to make a bracelet.
There is one mistake in her pattern.
How can you correct the pattern?
Circle the mistake in the pattern.
Draw the correct pattern.
Circle the mistake in the pattern.
Draw the correct pattern.
1. Randy uses beads to make a necklace.
2. Ellen uses beads to make a bracelet.
PS92
Reading Skill
© Harcourt • Grade 1
Lesson 15.1
Name
Position Words
Oscar buys a fish.
.
It is outside the
It is in front of the
.
Which fish does Oscar buy?
1. Cross out fish that are not
outside the
.
2. Look at the fish that are left.
Which is in front of the
? Circle it.
Color the correct child to solve.
3. Amy is in front of a boy.
She is between a girl and a boy.
Which child is Amy?
4. Challenge Alma puts a picture on the table.
Geza puts a picture behind it.
Circle the statement that is true.
Geza has a bigger picture.
Alma has a bigger picture.
PS93
Problem Solving
© Harcourt • Grade 1
Lesson 15.2
Name
Give and Follow Directions
Laura walks home from school.
She goes right 3.
She goes down 2.
Which house does she go to?
1. Start at the school.
Draw a line to go right 3.
2. Draw a line to go down 2.
3. Where did Laura go? Circle the house.
Follow directions. Circle your answer.
4. Sam walks from his house to a store.
He goes up 2.
He goes left 4.
Which store does he
go to?
5. Challenge Dani goes down
1 and left 3 to go to school.
Circle the house where
Dani lives.
PS94
Problem Solving
© Harcourt • Grade 1
Lesson 15.3
Name
Congruent Figures
Ivy and Celia have
congruent blocks.
Which blocks do they have?
1. Circle the figures that have
the same shape.
2. Color the figures that are
also the same size.
Color to show your answer.
3. Roy and Sue have congruent
blocks.
Which blocks do they have?
4. Challenge Draw 2 figures in the boxes below.
Are they congruent? Circle.
congruent
not congruent
PS95
Problem Solving
© Harcourt • Grade 1
Lesson 15.4
Name
Symmetry
Tia chooses a figure
with a line of symmetry.
Which figure did Tia choose?
1. Does the
have a line of symmetry?
2. Does the
have a line of symmetry?
3. Does the
have a line of symmetry?
4. Draw a line of symmetry on the
no
.
5. Which figure did Tia choose?
Try to draw lines of symmetry.
Circle the correct figure.
6. Cal chooses a figure
with a line of symmetry.
Which figure did Cal choose?
7.
Challenge Draw a figure around
this line of symmetry.
PS96
Problem Solving
© Harcourt • Grade 1
Lesson 15.5
Name
Slides, Flips, and Turns
Clyde puts his
down.
Then he moves it.
?
How did Clyde move the
Use a
to show the
1. Did Clyde slide it?
.
no
2. Did Clyde flip it?
3. Did Clyde turn it?
4. How did Clyde move the
slide
flip
?
turn
Circle to name the move.
5. Aram draws a picture.
Then she moves it.
How did Aram move her picture?
slide
turn
flip
6. Challenge Juan slides and traces a
to make cars on
a train. How many times did he slide the to make this
picture?
times
PS97
Problem Solving
© Harcourt • Grade 1
Lesson 15.6
Name
I\X[`e^
Jb`cc
Sequence
Sequence clues to solve a problem.
Kyla chooses a figure.
It has a line of symmetry.
It is above another figure.
Which figure did Kyla choose?
Use the clues in order.
1. Cross out figures that do not
have a line of symmetry.
2. Cross out figures that are
not above.
3. Circle the figure that is left.
Sequence the clues to solve.
Circle your answer.
4. Stan chooses a flip.
It is above a turn.
Which flip did Stan choose?
5. Eric has a figure with no
symmetry. It is between
other figures. Which
figure does Eric have?
PS98
Reading Skill
© Harcourt • Grade 1
Lesson 16.1
Name
Equal Parts
Jack and Jill share a pizza.
They get equal parts.
1. How many equal parts are there?
2
2. Draw a line to show equal parts.
Draw a line to show equal parts of the sandwich.
3. Bill and Ted share a sandwich.
They get equal parts.
4. Challenge Draw a line on each figure
to show 2 unequal parts.
PS99
Problem Solving
© Harcourt • Grade 1
Lesson 16.2
Name
Halves
Mario eats half of a sandwich.
1. 2 equal parts are halves.
How many equal parts are there?
2
2. Draw a line to show halves.
1
2
3. Color _.
1
Draw a line to show halves. Color _.
2
4. Laura eats half of a pizza.
5. Challenge Draw a figure that can not
be divided in half. Explain.
PS100
Problem Solving
© Harcourt • Grade 1
Lesson 16.3
Name
Fourths
1
Carl paints _ of his room.
4
1. 4 equal parts are fourths.
How many equal parts of Carl’s room are there?
4
2. Draw lines to show fourths.
1
4
3. Color _.
1
Draw lines to show fourths. Color _.
4
4. Kayla’s family paints one fourth
of her pool.
5. Challenge Write the missing numbers
to complete the pattern.
1
4
4
4
PS101
Problem Solving
© Harcourt • Grade 1
Lesson 16.4
Name
Thirds
Maria plants one third of her garden.
1. 3 equal parts are thirds.
How many equal parts are there?
3
2. Draw lines to show thirds.
1
3
3. Color _.
1
Draw lines to show thirds. Color _.
3
4. David mows one third of his lawn.
5. Challenge Write your own problem about thirds.
PS102
Problem Solving
© Harcourt • Grade 1
Lesson 16.5
Name
Parts of a Group
Eddie has these stickers.
What fraction of the group of stickers is the star?
1. How many stickers are a star?
2. How many stickers are there in all?
3. Write the fraction:
1
3
1
3
Write a fraction to solve.
Ty has these stickers.
What fraction of the group of stickers is the heart?
4. How many stickers are a heart?
5. How many stickers are there in all?
6. Write the fraction:
7.
Challenge Draw and color
1.
a group of circles to show __
2
PS103
Problem Solving
© Harcourt • Grade 1
Lesson 16.6
Name
I\X[`e^
Jb`cc
Use Picture Clues
In some problems, the answer choices
are given as picture clues.
4 friends share a pizza.
They each get an equal share.
Which could be their pizza?
Cross off pictures that do not match the problem.
Circle the answer.
Cross off pictures that do not match the problem.
Circle the answer.
1. 2 friends share a sandwich.
They each get an equal share.
Which could be their sandwich?
2. Jan, Greg, and Cindy share a cake.
They each get an equal share.
Which could be their cake?
PS104
Reading Skill
© Harcourt • Grade 1
Lesson 17.1
Name
Doubles and Near Doubles
Rosa is setting up
for a party.
6 girls are coming.
6 boys are coming.
in all?
How many children need
1. How many girls will need chairs?
7
Don’t forget to add Rosa.
girls 2. Add.
girls
boys children
3. What kind of fact did you use to solve? Circle.
doubles
near doubles
Solve. Circle to tell which kind of fact you used.
4. There are
and at a vet’s office.
There are 8 .
There is 1 less than .
How many pets are there in all?
doubles
pets in all
near doubles
5. Challenge Write numbers to show a doubles fact.
Then write the doubles fact.
Lori has
Cam has
How many
.
.
in all?
PS105
Problem Solving
© Harcourt • Grade 1
Lesson 17.2
Name
Add 10 and More
Reba needs 16
to make
.
She has 10
.
She buys 7 more
?
Does she have enough
1. Use
.
and the ten frame to
. Draw the
show each
2. How many
in all?
.
10 7 3. Does Reba have more or less than 16?
Use
more
less
and the ten frame. Write the sum.
Circle yes or no.
4. Tod has 17
Each
.
needs
Tod has 10
.
.
He makes 5 more
. 10 5 Does he have enough
?
yes
no
to solve. Circle front or back.
18 children are in a class picture.
10 children are in the front row.
The rest are in the back row.
5. Challenge Draw
Which row has more children?
front
back
PS106
Problem Solving
© Harcourt • Grade 1
Lesson 17.3
Name
Make a 10 to Add
Max has 8
plus 5
Beth has 10
.
plus 3
.
?
Do they have the same number of
1. Use
Add.
and
and
to show Beth’s
.
10 3 3. Do they have the same number of
Circle. yes
Use a
.
8 5 13
2. Use
Add.
to show Max’s
and
?
no
to show the numbers.
Add. Circle yes or no.
4. Challenge Dina has 6
Can she make a ten to add?
Circle. yes
plus 3
.
no
PS107
Problem Solving
© Harcourt • Grade 1
Lesson 17.4
Name
Algebra: Add 3 Numbers
Pat picks 4 . She picks 6 . She picks 3
How many flowers does she pick in all?
.
4
1. Write the three numbers.
3
6
2. Circle the numbers you will add first.
3. Will you use make a ten or doubles
to add them? Circle.
4. Add.
make a ten
doubles
Use make a ten or doubles.
Circle the numbers you will add first.
5. Scott has 5
, 3 , and 3 .
How many pieces of fruit
does he have in all?
6. Challenge The pictures show the figures
each child has. Which child can choose
whether to make a ten or use doubles to
find how many figures in all? Circle.
Billy
Matt
Patti
PS108
Problem Solving
© Harcourt • Grade 1
Lesson 17.5
Name
Practice Sums to 20
Ms. Betts has 6 boys and 6 girls in her class.
Mr. Patel has 5 boys and 9 girls in his class.
Which class has more children?
1. Ms. Betts has how many
2. Mr. Patel has how many
children in her class? Add.
Circle the way you added.
6
make a ten
6
doubles
12
children in his class? Add.
Circle the way you added.
make a ten
doubles
doubles plus one
3. Which class has more children?
doubles plus one
Ms. Betts Mr. Patel
Add. Show your work. Write the way you added.
4. Sal’s Pet Store has 7
and 5
Kim’s Pet Store has 9
.
and 8
.
Which store has more fish? Sal’s
Kim’s
5. Challenge Write a problem for which you
could not use doubles plus one.
PS109
Problem Solving
© Harcourt • Grade 1
Lesson 17.6
Name
I\X[`e^
Jb`cc
Reread
Reread a problem for important information.
Two teams play a game.
The blue team gets 15 points.
The red team gets 9 points.
Then the red team gets 7 more points.
Which team has more points?
Reread the problem for important information.
Write the number sentence to find
how many points the red team has.
Which team has more points? Circle.
9 + 7 = 16
red
blue
Reread the problem for important information.
Solve.
1. The child who finds more
pennies wins all of the pennies.
Sam picks up 12 pennies.
Vic picks up 4 pennies and 7
more pennies.
Who wins all of the pennies?
Sam
Vic
Sue
Ali
2. The child who reads more
stories wins a contest.
Ali reads 13 stories.
Sue reads 9 stories
and 3 more stories.
Who wins the contest?
PS110
Reading Skill
© Harcourt • Grade 1
Lesson 18.1
Name
Use a Number Line to Subtract
There are 15 children
at the park. 7 go home.
How many children are left?
15
1. Use a number line. Make a dot at
.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
2. Move left
spaces.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
3. Write the difference: 15
7
children
Use the number line to subtract.
Write the difference.
There are 16 children
at the park. 9 go home.
How many children are left?
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
4. Write the difference: 16 9 children
Challenge Write the missing number
in each subtraction sentence.
5.
6.
4
7
7.
8
5
15
17
9
PS111
8.
8
Problem Solving
© Harcourt • Grade 1
Lesson 18.2
Name
Subtract to Compare
Tom sees 11 birds in the park.
He sees 6 deer.
How many more birds does he see than deer?
1. Use circles to show the birds.
Use squares to show the deer.
Draw lines to match.
2. Subtract to compare. Write the difference.
11 6 more
Draw circles and squares to show the picture.
Draw lines to match.
Subtract to compare. Write the difference.
Anna sees 14 ants in the park.
She sees 8 bees.
How many more ants does she see than bees?
3.
14 8 more
4. Challenge How many fewer circles
are there than squares?
fewer
PS112
Problem Solving
© Harcourt • Grade 1
Lesson 18.3
Name
Think Addition to Subtract
There are 14 birds in the park.
7 birds fly away.
How many birds are left?
1. Solve the addition fact.
7
7
B
B
14
2. Use the addition fact to find the related subtraction fact.
14
7
birds are left
3.
Add. Then subtract to solve.
There are 15 butterflies in the park.
6 butterflies fly away.
How many butterflies are left?
4. Solve the addition fact.
6
B
B
15
5. Use the addition fact to find the related subtraction fact.
15
6.
7.
6
butterflies are left
Challenge Write an addition fact
with a sum of 13. Then write the related
subtraction fact.
BBBBBB
PS113
Problem Solving
© Harcourt • Grade 1
Lesson 18.4
Name
Practice Differences from 20
Mary is building 17 benches for the park.
She has built 8 benches so far.
How many more benches does she have to build?
1. You can use a number line.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
2. You can think addition to subtract.
8
17 9
B
17
8
more benches
3.
Use any strategy to solve.
Bret is putting together 20 swings for the park.
He has completed 10 swings so far.
How many more swings does he have to put together?
more swings
4.
5. Challenge Mark an X on the facts that are not true.
15
8
7
17
9
6
14 8 6
16 9 8
12 8 5
PS114
Problem Solving
© Harcourt • Grade 1
Lesson 18.5
Name
I\X[`e^
Jb`cc
Use Graphic Aids
Graphic aids, such as
and calculators,
can help you solve problems.
You can choose which one to use.
There are 9 red birds, 3 blue birds, and
4 brown birds in the park.
How many birds are there in all?
Choose a method to solve the problem.
Write the answer.
16
birds
Choose a method to solve the problem.
Write the answer.
1. There are 14 tables in the park.
9 tables have umbrellas.
The rest do not.
How many do not have umbrellas?
tables
2. There are 6 red benches, 5 blue benches, and
7 green benches in the park.
How many benches are there in all?
benches
3. There are 20 kites in the park.
10 kites are red.
The rest are blue.
How many kites are blue?
kites
PS115
Reading Skill
© Harcourt • Grade 1
Lesson 19.1
Name
Fact Families to 20
Ed invited 11 people to a party.
5 could not come. How many did come?
1. Write a number sentence to solve.
11
5
6
2. Write the other number sentences in the fact family.
3. How many people came to Ed’s party?
Write a number sentence to solve.
Then write the other sentences in the fact family.
4. There are 9 children in class.
8 more come.
How many children are in class?
How many children are in class?
5. Challenge Write a fact family
to go with the picture.
PS116
Problem Solving
© Harcourt • Grade 1
Lesson 19.2
Name
Algebra: Missing Numbers
There were 15
on the tree.
Some fell on the ground.
on the tree.
Now there are 7
fell?
How many
7 ?
15
1. Solve a related fact to help you find
the missing number.
2. How many
15 7 8
fell?
Use the related fact to solve.
3. There are 14 children.
Some children go home.
9 children stay.
How many children went home?
9 ?
14
14 9 children
4. Challenge Solve. Show your work.
Ned takes 4 flowers.
Nell takes 9 flowers.
There are no flowers left.
How many flowers were there?
flowers
PS117
Problem Solving
© Harcourt • Grade 1
Lesson 19.3
Name
Algebra: Ways to Make Numbers to 20
Roy has 6
and 8
Lucy has 5
,2
Celia has 14
.
.
, and 5
.
Which children have the same number of marbles?
1. Use
Roy
to show each number. Write how many.
14
Lucy
12
Celia
14
2. Circle the children with the same number.
Roy
Lucy
3. What is the number?
Use
Celia
marbles
to solve.
4. Nancy finds 4
and 8
Faraz finds 3
Sid finds 2
and 7
,3
.
.
, and 7
.
Which children find the same number of leaves?
Nancy
How many leaves?
Faraz
Sid
leaves
5. Challenge Lee puts 6
,9 ,
and 5 in a jar. Children guess
how many beans there are in all. Who is correct?
19
16
20
Kayla
Gus
Dora
PS118
Problem Solving
© Harcourt • Grade 1
Lesson 19.4
Name
Algebra: Follow the Rule
Min has 4
,6
, and 9
.
She buys 5 more of each kind.
How many of each does she have now?
1. Follow a rule to solve.
Add 5
9
11
14
4
6
9
2. Write the numbers for each bead.
Follow a rule to solve.
Subtract 4
3. Wes has 6
,8 ,
and 10 . He gives
4 of each kind to his
friend. How many of
each does Wes have
now?
6
8
10
4. Challenge Han
followed a rule to add.
What rule did
he follow?
3
6
8
PS119
7
10
12
Problem Solving
© Harcourt • Grade 1
Lesson 19.5
Name
Create Addition and
Subtraction Problems
Kristy has these cars.
Tonya has these cars.
How many cars do they have in all?
1. Kristy has
6
2. Tonya has
cars.
cars.
3. Write the number sentence.
4. How many cars are there?
Use the pictures to write the numbers.
Write the number sentence to solve.
5. There are
Tonya has
cars in all.
cars.
How many cars
does Kristy have?
cars.
6. Challenge Write the missing numbers.
Fred has 3
Dana has
The children have 5
. Tony has
.
.
in all.
PS120
Problem Solving
© Harcourt • Grade 1
Lesson 19.6
Name
I\X[`e^
Jb`cc
Use Context Clues
Some words tell you to add.
Some words tell you to subtract.
Leah puts 9 cherries in a bowl.
Then she puts 6 more in the bowl.
How many cherries are there in all?
Circle the words that tell
whether to add or subtract.
add
Will you add or subtract?
9 + 6 = 15
Write a number sentence
to solve.
15
cherries
Write a number sentence to solve.
1. Curtis has 5 apples.
His brother has 7 apples.
How many apples do they
have in all?
apples
2. Ella had 12 eggs.
She used 8 in a cake.
How many eggs does she
have left?
eggs
PS121
Reading Skill
© Harcourt • Grade 1
Lesson 20.1
Name
Pennies and Nickels
Joe finds 4 pennies in his pocket.
What is the total value of his coins?
1. Draw the coins.
2. Count by ones.
1
,
2
,
3
3. Write the total value.
4
,
4¢
Draw and label coins to solve.
Cara finds 5 nickels in her pocket.
What is the total value of her coins?
4.
5. Challenge Linda needs 30¢. She has 2 nickels.
How many more nickels does she need?
nickels
PS122
Problem Solving
© Harcourt • Grade 1
Lesson 20.2
Name
Pennies and Dimes
Kate uses 3 dimes to buy a pencil.
How much does the pencil cost?
1. Draw the coins.
2. Count by tens.
10
,
20
,
30
3. Write the total value.
30¢
Draw and label coins to solve.
Greg uses 6 dimes to buy an apple.
How much does the apple cost?
4.
5. Challenge Paul needs 40¢ to buy a balloon.
He has 1 dime.
How many more dimes does he need?
dimes
PS123
Problem Solving
© Harcourt • Grade 1
Lesson 20.3
Name
Count Collections
Al has 3 dimes, 1 nickel, and 2 pennies.
What is the value of his coins?
1. Draw the coins.
2. Count by tens, fives, and ones.
, 20 , 30 , 35 ,
37¢
3. Write the total value.
10
36
,
37
Draw and label coins to solve.
Maria has 1 dime, 3 nickels, and 3 pennies.
What is the value of her coins?
4.
5. Challenge Tom has 31¢.
Draw and label two sets of coins he could have.
PS124
Problem Solving
© Harcourt • Grade 1
Lesson 20.4
Name
Quarters
Andy uses a quarter to buy juice.
Marla uses nickels to buy juice.
How many nickels does Marla need?
1. Draw nickels to show 25¢.
2. Count the nickels.
5
nickels
Draw and label coins to solve.
Joey uses a quarter to buy a plum.
Lisa uses dimes and pennies to buy a plum.
How many dimes and pennies could Lisa use?
3.
dimes
pennies
4. Challenge Chris has a quarter and a nickel.
Dan has pennies with the same value.
How many pennies does Dan have?
pennies
PS125
Problem Solving
© Harcourt • Grade 1
Lesson 20.5
Name
Dollar
A notebook costs one dollar.
Bill has 3 quarters.
How many more quarters does he need?
1. Draw quarters to show one dollar.
2. Cross out the three quarters Bill has.
3. How many are left?
4. Bill needs
1
1
quarter.
Solve.
Anna needs one dollar to buy juice.
She has 8 dimes.
How many more dimes does she need?
5.
dimes
6. Challenge A pen costs 85¢.
Julie pays with 3 quarters and one other coin.
What is the other coin?
PS126
Problem Solving
© Harcourt • Grade 1
Lesson 20.6
Name
Compare Amounts
Rachel has 4 dimes.
Jack has 1 quarter and 2 nickels.
Who has the greater amount?
1. Draw the coins Rachel has.
Write the total value.
40¢
2. Draw the coins Jack has.
Write the total value.
3. Compare the amounts.
Write , , or .
4.
Rachel
Jack
has the greater amount.
Compare the amounts to solve.
5. David has 3 dimes and 3 nickels.
Laura has 2 quarters.
Who has the greater amount?
David
Laura
has the greater amount.
6. Challenge Chuck has less
than 28¢ and more than
26¢. He has 1 quarter.
Draw and label the coins that
Chuck has.
PS127
Problem Solving
© Harcourt • Grade 1
Lesson 20.7
Name
Make Equal Amounts
Carl wants to buy a banana for 55¢.
What is the fewest number of coins he can use?
1. Show the amount different ways.
2. Choose the combination with the fewest coins.
2
quarters
0
dimes
1
3. What is the fewest number of coins?
nickels
3
0
pennies
coins
Use coins to solve.
Bonnie wants to buy an orange for 65¢.
What is the fewest number of coins she can use?
4.
coins
5. Challenge How many ways can you make 35¢?
Use nickels, dimes, or quarters.
List or draw the ways.
ways
PS128
Problem Solving
© Harcourt • Grade 1
Lesson 20.8
Name
I\X[`e^
Jb`cc
Reread
Reread a problem to decide how to solve it.
List the steps you will take.
Jill wants to buy a yo-yo for 40¢.
Show two different ways she can
use coins to buy the toy.
1. Make 40¢ one way.
Draw and label the coins.
2. Make 40¢ another way.
Draw and label the coins.
Draw and label coins to solve.
3. Rick buys a pencil for 27¢.
Show two ways he can pay for the pencil.
4. Kit buys a puzzle for 61¢.
Show two ways she can buy the puzzle.
PS129
Reading Skill
© Harcourt • Grade 1
Lesson 21.1
Name
Time to the Hour
Carmen starts to read when her watch shows
She reads for 1 hour.
At what time does she stop reading?
1. Use a
.
Show the time Carmen starts to read.
Write the time.
11 12 1
2
10
9
3
4
8
7 6 5
.
11 12 1
2
10
9
3
4
8
7 6 5
3:0 0
2. Show one hour later.
:
Write the time Carmen stops reading.
Use a
to show the times.
Write the time to solve.
11 12 1
2
10
9
3
4
8
7 6 5
3. May starts to draw when her watch shows
She draws for 2 hours.
11 12 1
2
10
9
3
4
8
7 6 5
.
:
At what time does she stop drawing?
4. Challenge Circle to solve.
Amy and Tom start to clean their rooms at 2:00.
Amy stops when her watch shows
Tom stops when his watch shows
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
.
Amy
Who took a longer time to
clean their room?
PS130
.
Tom
Problem Solving
© Harcourt • Grade 1
Lesson 21.2
Name
Time to the Half Hour
11 12 1
2
10
9
3
4
8
7 6 5
Dave gets to the park when his watch shows
Sheena gets there a half hour later.
At what time does Sheena get to the park?
1. Use a
.
Show the time David gets to the park.
Write the time.
.
11 12 1
2
10
9
3
4
8
7 6 5
4:00
2. Show the time a half hour later.
:
Write the time Sheena gets to the park.
Use a
to show the times.
Write the time to solve.
11 12 1
2
10
9
3
4
8
7 6 5
3. Dan gets home when his watch shows
His sister gets home a half hour earlier.
11 12 1
2
10
9
3
4
8
7 6 5
What time does his sister get home?
.
:
4. Challenge
A test starts when the clock shows
11 12 1
2
10
9
3
4
8
7 6 5
.
The first part of the test takes a half hour.
The second part takes 1 hour.
What time does the test end?
PS131
:
Problem Solving
© Harcourt • Grade 1
Lesson 21.3
Name
Time to the Hour and Half Hour
Evan gets to the park a half hour before Ben.
Ben gets to the park at 12:00.
What time did Evan get to the park?
1. Use a
.
Show the time Ben gets to the park.
Draw the hands.
11 12 1
2
10
9
3
4
8
7 6 5
2. Show the time a half hour earlier.
11 12 1
2
10
9
3
4
8
7 6 5
11 12 1
2
10
9
3
4
8
7 6 5
Draw the hands.
3. Write the time Evan gets to the park.
:
Draw hands and write the time to solve.
4. Zack gets to the train station at 8:00.
He waits a half hour for the train.
What time does the train get to
the station?
:
11 12 1
2
10
9
3
4
8
7 6 5
5. Challenge Lisa goes to a movie that starts at 3:00.
It is two and a half hours long.
Greta goes to a movie that starts at 4:00.
It is one hour long.
Who gets out of the movies first? Circle.
Lisa
Greta
PS132
Problem Solving
© Harcourt • Grade 1
Lesson 21.4
Name
Use a Calendar
October
Sunday
4
11
18
25
Monday
5
12
19
26
Tuesday
Wednesday
Thursday
Friday
7
14
21
28
1
8
15
22
29
2
9
16
23
30
6
13
20
27
Saturday
3
10
17
24
31
Ella will have a party on a Friday.
Her party will not be on an even numbered day.
She will not have it on the second Friday.
Which day will Ella have her party?
1. Cross out the Fridays that have even numbered dates.
2. Cross out the second Friday of the month.
3. Color the Friday that is left.
Use
.
Use the calendar to solve.
4. Ray has soccer practice on odd numbered days.
He has soccer practice only on Monday and Wednesday.
Color the days Ray has soccer practice.
Use
.
5. Challenge Tim will have a party on October 10 at 2:30.
Kayla has ballet class on Saturdays at 2:30.
Can she go to the party? Circle.
yes
PS133
no
Problem Solving
© Harcourt • Grade 1
Lesson 21.5
Name
Order Events
It is afternoon. Which shows something Miles has
already done?
night
morning
night
1. Label each picture morning or night.
2. Circle the picture that shows
a time of day before afternoon.
Circle the correct picture to solve.
3. Rita is at school.
Which shows something she has not done yet today?
4. Challenge Draw a picture of something
you do in the morning and also in the evening.
PS134
Problem Solving
© Harcourt • Grade 1
Lesson 21.6
Name
I\X[`e^
Jb`cc
Use Graphic Aids
Charts give information you can use
to solve problems.
Dara gets to the fair
at 12:30. Which activity
can she do?
Activity
Parade
Town Fair
Start
Sand Painting
Barnyard Bingo
End
1:00 3:00
3:30 4:30
12:30 1:30
Look at the chart.
Can Dara see the parade?
Can Dara do sand painting?
Which activity can Dara do?
Use the chart above to find information. Solve.
1. Frank went to the fair at 4:00.
Which activity could he do?
2. Nell did an activity for
2 hours. Which activity
did she do?
PS135
Reading Skill
© Harcourt • Grade 1
Lesson 22.1
Name
Compare Length
Joe puts these flowers in a vase.
Which is shortest? Which is longest?
1. Circle the shortest flower.
2. Mark an X on the longest flower.
Ann puts these tools in a closet.
3. Circle the shortest tool.
4. Mark an X on the longest tool.
5. Challenge Draw a knife, fork, and spoon.
Draw the spoon shortest and the knife longest of the tools.
PS136
Problem Solving
© Harcourt • Grade 1
Lesson 22.2
Name
Use Nonstandard Units
Jan uses
to measure a pencil.
About how many
1. Lay
long is the pencil?
under the pencil.
2. Count: about
Use
to measure. Write the number.
About how many
long is this chalk?
3. about
4. Challenge Use
.
Estimate an object in the classroom
that is about 5
long.
Measure to check. Draw the object.
PS137
Problem Solving
© Harcourt • Grade 1
Lesson 22.3
Name
Compare Nonstandard Units
Phil measures a real branch.
Should he use
or
?
1. Is the branch short or long?
long
2. Circle the better tool:
Circle the better tool to measure.
Carla measures a real leaf.
3. Is the leaf short or long?
4. Circle the better tool:
5. Challenge Choose 4 objects.
Sort them by the tool you would use to measure.
Write each name in the correct column.
PS138
Problem Solving
© Harcourt • Grade 1
Lesson 22.4
Name
Inches
How many inches longer is the spotted ribbon
than the striped ribbon?
1. Use an inch ruler to measure each ribbon.
spotted:
2. Subtract:
5
inches
striped:
3
inches
inches longer
Use an inch ruler to measure.
How many inches longer is the gray ribbon
than the checked ribbon?
3. checked:
inches
4. Subtract:
gray:
inches
inches longer
5. Challenge Measure 5 classroom objects.
Identify the objects longer than 8 inches.
Draw each one or write the name.
PS139
Problem Solving
© Harcourt • Grade 1
Lesson 22.5
Name
Centimeters
How many centimeters longer is the black string
than the gray string?
1. Use a centimeter ruler to measure each ribbon.
black:
2. Subtract:
12
centimeters gray:
9
centimeters
centimeters longer
Use a centimeter ruler to measure.
How many centimeters longer is the striped string
than the spotted string?
3. striped:
4. Subtract:
centimeters spotted:
centimeters
centimeters longer
5. Challenge Measure 5 classroom objects.
Identify the objects shorter than 15 centimeters.
Draw each one or write the name.
PS140
Problem Solving
© Harcourt • Grade 1
Lesson 22.6
Name
Temperature
Kate measures the temperature of cups of tea.
Which one is the hottest?
70
F
95
85
F
F
1. Write each temperature.
2. Circle to show which is the hottest.
Eddie measures the temperature of bowls of soup.
Which one is the hottest?
F
F
F
3. Write each temperature.
4. Circle to show which is the hottest.
5. Challenge Order the six temperatures
on this page from coldest to hottest.
F,
F,
F,
PS141
F,
F,
F
Problem Solving
© Harcourt • Grade 1
Lesson 22.7
Name
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Jb`cc
Compare and Contrast
Compare means to tell how things are alike.
Contrast means to tell how they are different.
About how many
long is the eraser?
Write an estimate
that makes sense.
2
4
3
is too short.
is too long.
is about right.
ERASER
3
cubes
About how many is each object?
Compare and contrast to estimate.
1.
about
cubes
about
cubes
about
cubes
about
cubes
2.
3.
4.
PS142
Reading Skill
© Harcourt • Grade 1
Lesson 23.1
Name
Use a Balance
It takes 2 to balance Joe’s object.
It takes 3 to balance Sam’s object.
Which object did Sam measure?
1. Cross out Joe’s balance above.
2. Which object is Sam’s? Circle.
Look at the balances to solve.
Circle the correct object.
3. It takes 5
to balance Eva’s object.
It takes 2 to balance Brent’s object.
Which object did Brent measure?
4. Challenge Jared uses
and
a balance to measure the object below.
Does he need more or fewer to
make it balance? Circle.
more
PS143
fewer
Problem Solving
© Harcourt • Grade 1
Lesson 23.2
Name
Use Nonstandard Units to Estimate
and Measure Weight
Anya is using a to measure.
She balances one of these objects with 1 .
Which object does Anya measure?
1. Cross out lighter objects.
2. Measure the objects that are left.
3. Which object takes 1
to balance? Circle.
Cross out objects for which the unit is too big.
Measure the others. Circle the correct object.
4. Greg uses a
to measure.
It takes 2 to balance one of these objects.
Which object does Greg measure?
5. Challenge Tara and Rob both measure
a
. Tara uses as her unit.
Rob uses
as his unit.
Who will use more units to measure? Circle.
Tara
Rob
PS144
Problem Solving
© Harcourt • Grade 1
Lesson 23.3
Name
Use Nonstandard Units to Compare Weight
Joe and Bill use
and
a balance to measure the objects below.
Joe’s object is heavier than Bill’s.
Which object is Joe’s?
about
46
about
5
1. Use
and a balance
to measure the objects.
2. Circle the object that is heavier.
3. Which is Joe’s object? Circle.
Measure the objects. Circle the correct object.
4. Ann and Jeff use
and
a balance to measure the objects below.
Ann’s object is lighter than Jeff’s.
Which object is Ann’s?
about
about
5. Challenge Ray uses 88 paper clips to measure
an object. Which of these objects do you think he
measured? Circle.
PS145
Problem Solving
© Harcourt • Grade 1
Lesson 23.4
Name
Pounds
Tia, Yan, and Cara each weigh
one of the objects below.
The object Tia weighs is about 10 pounds.
The object Yan weighs is about 1 pound.
Which object belongs to Cara?
1. Cross out the object that weighs about 10 pounds.
2. Cross out the object that weighs about 1 pound.
3. Which object is left? Circle it above.
Estimate. Circle the correct object.
4. Omar, Sam, and Dina each weigh
one of the objects below.
The object Dina weighs is about 10 pounds.
The object Omar weighs is about 1 pound.
Which object belongs to Sam?
5. Challenge Tim and Hana weigh objects.
Together their objects weigh about 11 pounds.
Which objects did they weigh? Circle.
PS146
Problem Solving
© Harcourt • Grade 1
Lesson 23.5
Name
Use Nonstandard Units to Estimate
and Measure Capacity
Mark measures the milk container below.
He writes his measurement.
Which unit did he use to measure?
about
2
about
10
about
2
1. Look at each unit.
About how many it would take to measure the object?
2. Measure with each unit to check.
3. Circle the unit Mark used.
Write your estimates next to each unit.
Then measure. Circle the correct unit.
4. Dan measures the juice container below.
He writes his measurement.
Which unit did he use to measure?
about
about
6
about
5. Challenge Draw a container
you can use
to measure.
Measure how many it takes to fill.
PS147
about
Problem Solving
© Harcourt • Grade 1
Lesson 23.6
Name
Use Nonstandard Units to Compare Capacity
Rita uses 3
to fill her container.
Ed uses more
than Rita to fill his container.
The container Clay has holds the most.
Which of these containers belongs to Ed?
3
5
6
1. Cross out Rita’s container.
2. Cross out the container that holds the most.
3. Which container is left? Circle it.
Compare. Circle the correct container.
4. Amy uses 8
to fill her container.
Jim uses less
than Gavin to fill his.
The container Jim has holds the least.
Which of these containers belongs to Jim?
3
5
8
5. Challenge Wendy uses 8 paper cups to fill a bowl.
Ram uses 3 paper cups to fill the same bowl.
Who has the cup with greater capacity?
PS148
Problem Solving
© Harcourt • Grade 1
Lesson 23.7
Name
Cups, Pints, and Quarts
The container Leah has holds 2 cups.
The container Enzo has holds 1 quart.
Whose container holds more?
1. How many pints equal 2 cups?
1
2. How many pints equal 1 quart?
pint
pints
3. Whose container holds more?
Use cup, pint, and quart containers to measure.
Circle.
4. The container Nick has holds 2 pints.
The container Seth has holds 6 cups.
Whose container holds more?
Nick
Seth
5. Challenge Use cup, pint, and quart containers
if you need to.
Jill is making lemonade for a party.
She needs 1 cup for each guest.
There are 16 guests coming to the party.
How many quarts of lemonade should she make?
quarts
PS149
Problem Solving
© Harcourt • Grade 1
Lesson 23.8
Name
Choose the Measuring Tool
Rob and Liz are making a pie.
Rob measures the weight of the
Liz fills a container with .
Which tools do they use?
.
Fahrenheit
100
90
80
70
60
50
40
30
20
10
0
Ð10
¡F
1. What is Rob measuring? Circle.
how heavy
how long
how hot
how much to fill
how hot
how much to fill
2. What is Liz measuring? Circle.
how heavy
how long
3. Which tool belongs to Rob? Color it red.
Which tool belongs to Liz? Color it blue.
Color the first tool red. Color the second tool blue.
4. Tom and Mia cook soup.
Tom measures how much soup the pot holds.
Mia measures how hot the soup is.
Which tools do they use?
Fahrenheit
100
90
80
70
60
50
40
30
20
10
0
Ð10
¡F
5. Challenge Tamara uses a
to
measure things outside. What is one thing
she could measure with her tool?
PS150
Problem Solving
© Harcourt • Grade 1
Lesson 23.9
Name
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Jb`cc
Make Predictions
When you predict, you use clues
to decide what will happen.
Zoe makes 7 cups of lemonade.
She needs 10 cups.
Can she fit 3 more cups in her pitcher?
Predict. Then use cups to test.
Can Zoe fit 3 more cups? Circle
to show your prediction.
yes
no
yes
no
Test your prediction.
Can Zoe fit 3 more cups? Circle.
Circle your prediction.
Use cups to test.
Write your answer on the line.
1. Vic filled the container with 2 cups of
water for soccer practice.
yes
no
yes
no
Can he fit 2 more?
2. Jess puts 3 cups of juice
in a container.
She wants to add 1 more cup.
Can she fit 1 more?
PS151
Reading Skill
© Harcourt • Grade 1
Lesson 24.1
Name
Use Mental Math to Add Tens
Pat picks up 40 twigs.
Cal picks up 30 twigs.
How many twigs do they pick up in all?
40 30 70
1. Add.
2. Write how many tens.
4
3.
70
tens 3
tens 7
tens
twigs in all
Mary picks up 20 twigs.
Jake picks up 60 twigs.
How many twigs do they pick up in all?
4. Add.
20 60 5. Write how many tens.
tens 6.
7.
tens tens
twigs in all
Challenge Write three different addition
sentences with tens so that the sum is 60.
PS152
60
60
60
Problem Solving
© Harcourt • Grade 1
Lesson 24.2
Name
Add Tens and Ones
There are 24 birds in a tree.
5 birds join them.
How many birds are there now?
tens ones
1. Look at the numbers in a chart.
Add the ones.
2. Write the tens.
3. There are
2
4
5
9
birds.
Add. Write the sum.
4. There are 31 birds in a tree.
4 more join them.
How many birds are there in all?
tens ones
There are
3
1
4
birds.
Challenge Write the missing numbers.
5.
tens ones
5
6.
tens ones
tens ones
3
5
7.
7
3
PS153
1
8
4
0
4
2
Problem Solving
© Harcourt • Grade 1
Lesson 24.3
Name
Add 2-Digit Numbers
There are 12 red birds.
There are 16 brown birds.
How many birds are there in all?
tens ones
1. Look at the numbers in a chart.
Add the ones.
2. Add the tens.
3. There are
1
1
2
6
2
8
birds in all.
Add. Write the sum.
4. There are 36 blue birds.
There are 22 black birds.
How many birds are there in all?
tens ones
There are
3
2
6
2
birds.
Challenge Write 3 ways to make 64.
5.
tens ones
6.
tens ones
6
4
7.
tens ones
6
PS154
4
6
4
Problem Solving
© Harcourt • Grade 1
Lesson 24.4
Name
Use Mental Math to Subtract Tens
Troy will plant 60 trees.
He has planted 20 trees so far.
How many trees does he have left to plant?
1. Subtract.
60 20 40
2. Write how many tens.
6
3.
40
2
tens tens 4
tens
trees are left
Ava will plant 40 trees.
She has planted 10 trees so far.
How many trees does she have left to plant?
4. Subtract.
40 10 5. Write how many tens.
tens 6.
7.
ten tens
trees are left
Challenge Use the numbers 30, 80, and 50.
Write two addition and two subtraction sentences.
PS155
Problem Solving
© Harcourt • Grade 1
Lesson 24.5
Name
Subtract Tens and Ones
There are 47 birds in a tree.
2 birds fly away.
How many birds are left?
tens ones
1. Look at the numbers in a chart.
4
Subtract the ones.
2. Write the tens.
3. There are
7
2
5
birds left.
Subtract. Write the difference.
4. There are 28 birds in a tree.
5 birds fly away.
How many birds are left?
tens ones
2
There are
8
5
birds left.
Challenge Write the missing numbers.
5.
tens ones
7
6.
tens ones
tens ones
9
7
7.
7
3
PS156
1
4
4
6
4
3
Problem Solving
© Harcourt • Grade 1
Lesson 24.6
Name
Subtract 2-Digit Numbers
There are 49 birds.
27 birds fly away.
How many birds are left?
tens ones
1. Look at the numbers in the chart.
Subtract the ones.
4
2
2
2. Subtract the tens.
3. There are
9
7
birds left.
Subtract. Write the difference.
4. There are 57 birds.
36 birds fly away.
How many birds are left?
tens ones
There are
7
6
5
3
7.
tens ones
birds left.
Challenge Write 3 ways
to make a difference of 21.
5.
tens ones
6.
tens ones
2
1
2
PS157
1
2
1
Problem Solving
© Harcourt • Grade 1
Lesson 24.7
Name
I\X[`e^
Jb`cc
Make Predictions
An estimate is a best guess.
It is a prediction of the answer.
There are 26 nests in a tree.
Birds build 5 more nests.
About how many nests
are there now?
about 3 nests
about 30 nests
about 300 nests
3 nests is too few.
300 nests is too many.
30 nests is about right.
Circle the best estimate.
1. There are 41 red birds in a tree.
There are 7 white birds.
About how many birds
are there in all?
2. There are 83 birds near a pond.
9 fly away.
About how many birds
are left?
3. There are 58 oak trees in a park.
There are 40 pine trees.
About how many trees
are there in all?
4. There are 65 oak trees in a park.
There are 24 pine trees.
About how many more oak trees
are there than pine trees?
PS158
about 5 birds
about 50 birds
about 500 birds
about 7 birds
about 70 birds
about 700 birds
about 1 tree
about 10 trees
about 100 trees
about 4 more
about 40 more
about 400 more
Reading Skill
© Harcourt • Grade 1