n ca t Wo r k t e xt x
2A
for le arne arners 7 - 8 year s o l d
Let’s Do Mathematics
Re ga le du ca tio n
Let’s Do Mathematics is a series covering levels K-6 and is fully aligned to o the United States Common Core State Standards (USCCSS). Each level consists of two books boo (Book A and Book B) and combines textbook-style presentation of concepts oncepts pts as well as workbook practice.
Central to the USCCSS is the promotion of problem-solving skills ls and reasoning. Let’s Do Mathematics achieves this by teaching and presenting ng g concepts through throu a problem-solving based pedagogy and using the concrete-pictorial-abstract pictorial-abstract torial-abstract ((CPA) approach. Learners acquire knowledge and understanding a ng off concepts through thr th guided progression beginning with concrete examples and experiences which then w flow into pictorial representations and finally mastery at the and symbolic level. e abstract an a This approach ensures that learners develop a fundamental understanding of concepts damental ental understa underst rather than answering questions by learned procedures edures es and algorithms. algorit
Key features of the series include:
Anchor Task
3
Numbers to 1000
sk Anchor Task
Open-ended activities serve as the starting point for understanding new vities concepts. Learners engage in activities e and discussions to form concrete experiences before the conceptt is formalized.
141
Let’s Learn n
Concepts are presented sented in a clear and a colorful manner.. Worked rked problems problem provide learners step-by-step ers with ith guided step-by ste progression through Series gh examples. Ser mascots provide rovide de guidance through throug throu helpful comments new nts and nd observations when w concepts pts are e introduced. introduce
2-Step Word Prob lems Let’s Learn
Blake has 12 toy cars. Dominic has 3 more How many toy cars toy cars than Blake. do they have altoge ther?
In January, Jorda n saves $36. In February, he saves $15 more than in January. How much mone y did he save in total?
First, let’s find how many cars I have.
Step 1
12
3
Step 1 Find the amount of money Jordan saves in $36
Blake’s cars
February.
$15
January
13
Dominic’s cars
February
+
?
To find the numb er of cars that Domin ic has, we add. 12 + 3 = 15 Dominic has 15 toy cars. Now we can find the total number of toy cars. Step 2
?
ry.
Step 2 Add the amounts togeth
er to find the total.
$36
12
$51
15
Blake’s cars
Dominic’s cars
January
February
?
?
12 + 15 = 27 Blake and Domin ic have 27 toy cars altogether. 122
6 1 5 5 1
36 + 15 = 51 Jordan saves $51 in Februa
36 + 51 = 87 Jordan saved $87 in total.
3 6 + 5 1 8 7
123
ii
Let’s Practice
2.
Let’s Practice 1.
clarinet 60 cm
violin
ed uc ati on
36 cm
trumpet
88 cm
(a) The trumpet is
cm longer than the
clarinet.
cm longer than the
violin. vi
(b) The trumpet is
cm. has a length of (a) The toothpaste cm. length of (b) The comb has a cm. a length of has ush toothbr (c) The toothpaste. cm shorter than the (d) The comb is comb. cm longer than the is ush toothbr The (e) is the longest. (f) The is the shortest. Th (g) The
210
1.
cm shorter than the
(c) The violin iss
is the longest.
(d) The
is the shortest.
(e) The
(f) Arrange the objects
from the longest to
shortest.
21 1
At Home
Halle asked her friend s their favorite fruit. She made a table from the data she collected. What’s your favorite fruit? Apples! Mangoes!
2.
Make a bar graph aph from the tabl table. Answer the questi ons ns and use tthe space to show Class 2A’s Favor Cl
Water
Milk
10
My Friend ds’ ss’ Favor
Apple juice
8
1
3
ite Drink
ite Fruits
Mango
Apple
Banana
8
Peach
3
7
6
bar graph from m the
table. My Friend ends’ s’ Favorite Fr Fruits
Fruit
Help Halle make a
your working.
ite Drink
Orange juice
Class 2A’s Favor
Further practice designed to be completed without the guidance of a teacher. Exercises and problems in this section follow on from those completed under Let’s Practice.
clarinet.
Numb ber er of people
At Home
of the objects.
of the objects.
Compare the lengths Fill in the blanks.
Learners demonstrate their understanding of concepts through a range of exercises and problems to be completed in a classroom environment. Questions provide a varying degree of guidance and scaffolding as learners progress to mastery of the concepts.
Compare the lengths Fill in the blanks.
Type of drink
Friends
296
Hands On
Play this game in groups of
Hands On
Learners are encouraged to ‘learn by doing’ through the use of group activities and the use of mathematical manipulatives.
3 or 4.
297
o on your table. Place different 3-D shapes by saying the number of faces, One player describes a shape edges and vertices. Th This 3-D shape has 2 faces.
1. 2.
3.
shape is the winner he first player to pick the correct The ribess the next shape. describe
and
It’s a cylinder!
Solve it!
1.
Solve It!
Re g
C
80
3m
A B
Activities that require learners earners ers to apply logical lo reasoning and problem-solving. are often em-solving. solving. Problems Proble posed which do not for solving ot have e a routine strategy strate s them. Learners are encouraged ncouraged to think creatively and apply a range of problem-solving roblem-solving heuristics. heu
Looking king Back
A beetle is crawling around a garden. It starts at position A and crawls for 36 m. At which position does the beetle stop? D 9m
The beetle stops at position 2.
.
Jordan is running around the soccer field. He starts at position A and runs for 400 m. At which position does he stop? D
100 m
D
50 m
A B Jordan stops at position
.
215
(b)
Looking Back Write the number in numerals and words.
1.
(a)
+
Consolidated olidated practice w where learners demonstrate on a monstrate their understanding underst und range nge of concepts taught taugh within a unit.
+
=
Fill in the blanks. Write the number in numerals and words.
3.
Tens
Hundreds
Ones
(b)
2.
Fill in the blanks.
tens
hundreds
ones
(a) +
4.
500 +
+9=
+
=
Write the number. The digit 9 is in the ones place. The digit 8 is in the hundreds place. The digit 2 is in the tens place. 243
242
iii
Re ga le du ca tio n
Contents 1 Addition and Subtraction to 20
Adding by Counting On ble bles Adding Using Doubles and Near Doubles Adding by Making 10 Subtraction by Counting Back Subtraction Using Double Facts Subtraction by Making 10
2 Addition and Subtraction too 100
Addition Without Regrouping ouping pin Addition With Regrouping uping ping o-digit digit Numbers Num Numb Adding Multiple Two-digit 1-Step Addition Word Problems Problem Subtraction Without hout ut Regrouping Regrou Subtraction With Regrouping Regroup g 1-Step Subtraction ractio act Word Problems 2-Step Word Problems ord Problem Proble
rs to 1,00 1,000 3 Numbers
Hundreds, and Ones ndreds, eds, Tens an lace ce Value to 1,0 1,1,000 Place Comparing mparing Numbers Nu to 1,000 Even Numbers Odd and Eve Skip Co Counti Counting and Number Patterns R p Repeated Addition and Arrays
iv
2 4 14 20 28 34 37
60 65 74 84 90 100 108 114 122
140 142 158 178 198 216 229
Adding 100s and 10s Addition Without Regrouping Addition With Regrouping
248 250 2 258 272 2 27
n
4 Addition to 1,000
v
on
1
Addition and Subtraction to 20
Anchor Task
+2
+5
2
–3
–4
3
Adding by Counting On
uc ati on
Let’s Learn
How many apples are there in all? Let’s count on.
Count on from the greater number.
9
8
11
10
Re ga l
7
7 + 4 = 11 There are 11 apples ples in all.
Find 9 + 5. Count on the he number line lin to add.
8
9
9 + 5 = 14
4
10
11
12
13
14
15
16
17
18
19
20
Re ga le du ca tio n
How many books are there in all? Count on to find 15 + 4.
6 16
17
18
19
15
15 + 4 = 19 There are 19 books in all. Find 3 + 15.
Count on your fingers. 15, 16, 17, 18.
Count on from 15 on ne. a number line.
8
9
10 0
11
112 2
13
14
15
16
17
18
19
20
3 + 15 = 18
5
1.
Add by counting on. Write an addition equation. q (a)
5
+
3
=
8
+
=
Re ga
(c)
ed
(b) b)
+
=
+
=
(d)
6
ca tio n
Let’s Practice
Add by counting on. Write an addition equation. (a)
Re ga le du ca tio n
2.
+
=
+
=
+
=
+
=
(b)
(c)
(d)
3.
Use the number on from the greater number. mberr line to count coun co Complete the equation.
6
7
8
9
10
11
12 13 14 15 16 17 18 19 20
(a) a) 6 + 5 =
(b) 3 + 8 =
(c) 5 + 8 =
(d) 5 + 9 =
(e) e) 4 + 9 =
(f) 5 + 7 =
(g) 7 + 3 =
(h) 9 + 2 = 7
Use the number line to count on from the greater number. Complete the equation.
Re ga le du ca tio n
4.
6
5.
8
7
8
9
10
11
12 13 14 15 16 17 18 19 20 2
(a) 5 + 11 =
(b) 10 + 5 =
(c) 12 + 2 =
(d) 11 + 3 =
(e) 14 + 4 =
(f) 15 + 4 =
(g) 18 + 2 =
(h) 17 + 3 =
(i)
(j)
4 + 15 =
12 + 4 =
Add.
(a)
1 5 + 3
(b)
1 1 + 1
(c)
1 2 + 5
(d)
1 4 + 2
(e) (e
1 8 + 1
(f)
1 3 + 2
(g) (g
1 4 + 5
(h)
1 1 + 5
(i)
1 5 + 2
Solve It!
ati on
Which country is Steve from?
Re ga le du
Add. Then write the letters in the spaces below.
(a) 2 + 9 =
U
(b) 8 + 4 =
A
(c) 15 + 2 =
A
(d) 9 + 5 =
L
(e) 8 + 5 =
R
(f) 12 + 4 =
T
(g) 16 + 3 =
I
(h) 15 + 5 =
S
(i)
A
1 + 14 =
15
11
20
16
13
12
14
19
17 9
At Home Use the number line to count on from the greater number. mber. Complete the equation.
Re ga le du ca tio n
1.
6
2.
10
7
8
9
10
11
12 13 14 15 16 6 17 1 18 19 20
(a) 5 + 7 =
(b) 5 + 9 =
(c) 15 + 3 =
(d) 13 + 6 =
(e) 2 + 13 =
(f) 15 + 2 =
(g) 8 + 5 =
(h) 14 + 3 =
(i)
(j)
16 + 4 =
4+7=
Add.
(a)
1 1 + 3
(b) b)
1 5 + 4
(c)
1 2 + 3
(d)
1 7 + 1
(e)
1 0 + 6
(f)
1 2 + 2
(g)
1 2 + 1
(h)
1 3 + 5
(i)
1 6 + 3
3.
Color the ten frames to find the missing addend. Complete the equation.
Re ga le du ca tio n
(a)
7+
= 11
9+
= 14
12 +
= 17
16 +
= 20 0
(b)
(c)
(d)
4.
Complete the equations. equations (a) 8 + (c)
(e) 16 1 +
= 12
+ 4 = 13
= 18
(b) 9 +
= 14
(d) 15 +
= 19
(f)
(g)
+ 4 = 17
(h) 14 +
(i)
+ 2 = 20
(j)
+ 3 = 19
= 15
+ 11 = 16
11
1.
Fill in the missing numbers. (a)
Look! k! 3 + 7 = 10 1 Ca an you Can pattern? ou see a p
14 4
10 3
7
Re ga le du
1
ati on
Solve It!
(b)
((c) c))
5
0
5
8
(d)
7
8
4
(e)
15
12
12
11
13
4
13
3
1
2.
Fill in the missing numbers. (a)
Re ga le du ca tio n
5 and 11 is 16.
5
11
16
1
15
(b)
(c) (
10
3
12
4
14
2
3
16
13
8
(d)
(e)
2
20
4
4
13
Adding Using Doubles and Near Doubles Do
Re ga le du ca tio n
Let’s Learn
We can use doubles to add. A double is when both numbers we are adding are the same. same sam Double 6
6 + 6 = 12
Double 7
7 + 7 = 14
Double 8
8 + 8 = 16
Double 9
9 + 9 = 18
Double 10
10 + 10 = 20
14
tio n
We can use near doubles to add. Let’s find 8 + 9.
Re ga le du c
8 + 9 is the same me as double 8 and one more. re
8+9
= =
16 + 1 17
Let’s use near doubles to find d 8 + 7.
8 + 7 is the same as double 8 and one less.
8+7
= =
16 – 1 15 5
15
Let’s Practice Use doubles and near doubles to complete the equations.
Re ga le du ca tio n
1.
(a)
6+6=
6+7=
6+5=
7+7=
7+6=
7+8=
5+5=
5+6=
5+4=
(b)
(c)
16
Re ga le du ca tio n
(d)
8+8=
8+9=
8+7=
9+9=
9+8=
9 + 10 =
(e)
2.
Use doubles ubles es and near doubles do to complete the equations. (a) 8 + (c) c)
(e 6 + (e)
= 16
(b) 6 +
= 12
+ 7 = 15
(d) 7 +
= 14
= 11
(f)
(g)
+ 9 = 18
(h) 8 +
(i)
+ 9 = 19
(j)
+ 7 = 13
= 14
+ 10 = 20
17
At Home Use doubles and near doubles to complete the equations. quations. tions.
Re ga le du ca tio n
1.
2.
(a) 8 + 8 =
(b) 8 + 9 =
(c) 7 + 6 =
(d) 9 + 10 =
(e) 9 + 8 =
(f) 6 + 7 =
Add.
(a)
5 4
(b)
1 0 + 1 0
(e))
+
(d)
3.
1 0 + 9
(f)
+
9 9
8 7
+
nd near do doub Use doubless and doubles to complete the equations. (a) 8 +
(c)
(e)) 5 +
18
(c)
+
7 7
= 15
+ 10 = 20 = 11
((b) 6 +
= 13
(d) 8 +
= 17
(f)
+ 7 = 16
Solve It!
du c
tio n
Sophie sorted her blocks into two piles. She wanted a quick way to find out how many blocks cks she he had. had
Re ga l
(a) Her first pair of piles had 8 blocks the blocks and ocks each. Draw Dra Dr show how many she had. How many did she have in all?
Sophie has
blocks in i all. a
(b) When she e looked ooked under und the th bed, she found 3 more blocks. Show piles she had. How many did she ow the new pil have in all no now?
Sophie has
blocks in all. 19
Let’s Learn
ed uc ati on
Adding by Making 10 Halle has 8 flowers. Chelsea gives her 7 more flowers. How many flowers does Halle have in all? 8
7
Make a group of 10 and add the ten and ones.
5
g
10
10 + 5 = 15 flowers in all. Halle has 15 flo flowe
20
8+7 2
= 10 + 5 = 15 5
Re ga le du ca tio n
There are 9 orange cubes and 5 purple cubes. How many cubes are there altogether?
9
5
4
10
10 + 4 = 14 There are 14 cubes altogether.
9+5 1
= 10 10 + 4 = 14 14
4
Find 7 + 6.
7 + 6 = 13
7+6 3
= 10 + 3 = 13
3
21
Re ga le du ca tio n
How many cookies in all? Let’s find 12 + 7.
12 Make a group of 10 and add the ten and ones.
7
10
12 + 7
10
2+7=9
= 10 + 2 + 7 = 10 + 9 = 19
2
12 + 7 = 19
Find 13 + 5.
13 3
5
10 0
8
13 + 5
13 + 5 = 18
10
22
3
= 10 + 8 = 18
Let’s Practice Make a ten. Fill in the blanks.
Re ga le du ca tio n
1.
(a)
8+6=
8
+
2
= 10
2
10 +
4
= 14
4
(b)
7+5=
+
=
+
=
+
=
+
=
+
=
+
=
(c)
9+8=
(d))
8+7=
23
Make a ten. Fill in the blanks.
Re ga le du ca tio n
2.
(a)
5+8=
3
(b)
(c)
(d)
(e)
(f)
(g))
24
2
9+5=
6+8=
7+8=
9+7=
8+9=
4+7=
8
+
2
= 10
10 +
3
= 13
+
=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
Make a ten. Fill in the blanks. 13 3+4
(a)
Re ga le du ca tio n
3.
10
13 + 4 = 10 +
3
7
=
(b)
14 + 5
14 + 5 =
+
=
(c)
12 + 6
12 + 6 =
+
=
(d)
13 + 7
13 + 7 =
+
=
25
Make a ten. Fill in the blanks.
Re ga le du ca tio n
4.
(a) 15 + 4
= 10 + =
(b) 12 + 7
=
+
=
(c) 14 + 6
=
+
=
(d) 13 + 6
=
+
=
(e) 11 + 8
=
+
=
(f) 14 + 4
=
+
=
(g) ( 12 + 5
=
=
26
+
9
At Home Complete the equations.
Re ga le du ca tio n
1.
2.
(a) 7 + 9 =
(b) 11 + 9 =
(c) 14 + 5 =
(d) 13 + 5 =
(e) 7 + 6 =
(f) 9 + 8 =
Add.
(a)
(d)
3.
1 5 + 4
(b)
1 2 + 6
(e)
+
7 8
(c)
1 4 + 4
1 4 5 +
(f)
1 2 + 5
Complete the he equations. (a) 9 + (c)
= 15
(b) 6 +
= 19
+ 8 = 17
(d) 3 +
= 17
e) 5 + (e)
= 12
(f)
((g) 6 +
= 18
(h) 6 +
= 15
(j)
= 20
(i)
+ 15 = 17
+ 7 = 18
8+
27
Subtraction by Counting Back
Re ga le du ca tio n
Let’s Learn
Sophie has 12 flowers. She gives her friend 4 flowers. How many flowers does she have left?
Count back 4 flowers.
8
9
10
11
12 – 4 = 8 werss left. Sophie has 8 flowers
olates in a box. bo There are 14 chocolates hocolates. Blake eats 5 chocolates. How many ny chocolates ocolates are a left?
nt back from 14 1 to find the answer. Let’s count 8
9
10
11
12
13
14 – 5 = 9 There are left. re 9 chocolates c
28
14
15
16
17
18
19
20
12
Re ga le du c
n
A butterfly lays 18 eggs. 4 eggs hatch. w many eggs did not hatch? How
Let’s t’s count back from 18. 18
8
9
10
11
12
13
14 4
15 5
16
17
18
19
20
18 – 4 = 14 tch. h. 14 of the eggs did not hatch.
0 by y counting counti coun Find 5 less than 20 back on a number line.
8
9
10
11
12 12
13
14
15
16
17
18
19
20
20 – 5 = 15
29
Let’s Practice Count back to subtract.
Re ga le du ca tio n
1.
(a)
12 13 14 15 16
16 – 4 =
(b)
8 9 10 11 12 13 3
13 – 5 =
(c)
15 16 17 18 19
19 – 4 =
(d)
12 13 14 15 16 17
17 – 5 =
(e)
17 18 19 20
0–3= 20
30
2.
Complete the subtraction equation.
Re ga le du ca tio n
(a)
–
=
–
=
(b)
3.
4.
Subtract.
(a) 11 – 5 =
(b) 17 – 4 =
(c) 12 – 5 =
(d) 15 – 2 =
(e) e) 20 – 4 =
(f) 18 – 5 =
Subtract.
(a)
1 2 5 –
(b (b)
1 1 – 3
(c)
1 4 – 5
(d)
1 7 – 2
(e)
1 3 – 4
(f)
1 9 – 5
31
Play this game in pairs.
ca tio n
Hands On
Take 20 linking cubes, 10 in each color.
2.
Now make two stories that involve subtraction, action, tion, or taking takin away. Give them to your partner to solve.
Re ga le
1.
3.
Change roles and solve stories. e your partner's pa p
4.
Draw picturess of the cubes cube cub to show the subtraction, and write a number sentence. entence. ence.
32
At Home Use the number line to count back. Complete the equation.
Re ga le du ca tio n
1.
6
2.
7
8
9
10
11
12 13 14 15 16 6 17 18 19 20
(a) 11 – 2 =
(b) 12 – 3 =
(c) 15 – 4 =
(d) 16 – 4 =
(e) 17 – 3 =
(f) 20 0–5=
(g) 18 – 2 =
(h) h) 20 0–1=
(i)
(j)
18 – 5 =
19 9–3=
Subtract.
(a)
1 5 – 3
(b) b)
1 6 3 –
(c)
1 7 – 3
(d)
1 3 – 4
(e)
1 4 – 5
(f)
1 8 – 5
(g)
2 0 – 2
(h)
1 9 – 2
(i)
1 1 – 3
33
Subtraction Using Double Facts
Re ga le du ca tio n
Let’s Learn
Use double facts to help find 16 – 8. Double 8 is 16.
8
8
16
We know 8 + 8 = 16. So, we can see that 16 – 8 = 8 8
8
16
Double facts help with th adding ng and subtracting mentally. Double
Adding g
Su Subtracting
2
2+2=4
4–2=2
3
3+3=6
6–3=3
4
4+4=8
8–4=4
5
5 + 5 = 10
10 – 5 = 5
6
6 + 6 = 12
12 – 6 = 6
7
7 + 7 = 14
14 – 7 = 7
8
8 + 8 = 16
16 – 8 = 8
9
9 + 9 = 18
18 – 9 = 9
10
10 + 10 = 20
20 – 10 = 10
34
You can use number bonds to help you.
9
18
9
Let’s Practice
Re ga le du ca tio n
Use doubles to add and subtract. Complete the equations. (a)
4
4
+
4 =
8
8
–
4
4
=
8
4
(b)
+
=
–
=
+
=
–
=
+
=
–
=
+
=
–
=
(c)
(d)
(e))
35
At Home Use doubles to add and subtract. Match the equations.
Re ga le du ca tio n
1.
2.
(a) 5 + 5 =
18 – 9 =
(b) 9 + 9 =
10 – 5 =
(c)
6+6=
14 – 7 =
(d) 8 + 8 =
12 – 6 =
(e) 10 + 10 =
16 – 8 =
(f) 7 + 7 =
20 – 10 =
Subtract. act.
(a) (a
36
1 8 – 9
(b)
1 4 – 7
(c)
1 2 – 6
Subtracting by Making 10 Let’s Learn We can subtract by taking away the ones and adding to a 10.
Re ga le du c
There are 18 apples on a tree. Halle picks 5 apples. How many apples are left?
18
18 is 10 and 8.
10
8–5=3
13 18 – 5 = 13
10
8
8 – 5 =3 110 0 + 3 = 13 13
18 – 5 = 13 3 apples left. There are 13
37
We can subtract by getting 10 first.
Re ga le du ca tio n
A baker has 14 cupcakes. She sells 6 cupcakes. How many cupcakes does the baker have left?
First, subtract 4 to make 10.
10
4
8
14 – 6 = 8 4
2
14 4 – 4 = 10 10 10 0–2=8
14 – 6 = 8 The baker has h 8 cupcakes left.
38
Then, subtract 2 from the 10.
We can also subtract from 10 first.
Re ga le du ca tio n
Ethan has 13 goldfish. He gives 6 goldfish to Dominic. How many goldfish does Ethan have now? First, make a group of 10 goldfish. 13 is 10 and 3.
10
3
You cannot subtract 6 from 3. You can subtract 6 from 10. Now add 4 and 3.
4
3
13 – 6 = 7
10
3
10 – 6 = 4 4+3=7
13 3–6=7 goldfish now. Ethan has 7 g goldf
39
Let’s Practice Subtract by taking away the ones and adding to the he 10. 0. Fill in the blanks and complete the equations. (a)
al ed uc ati on
1.
15 – 2 = 13
10 (b)
R 40
2
=
3
10 +
3
=
13
5
18 – 6 =
(c)
–
5
116 – 3 =
–
=
+
=
–
=
+
=
Re ga le du ca tio n
(d)
17 – 4 =
–
=
+
=
–
=
+
=
–
=
+
=
(e)
15 – 3 =
(f)
119 – 6 =
41
2.
Subtract by getting 10 first. Fill in the blanks and complete the equations.
Re ga le du ca tio n
(a)
14 – 5 =
–
=
–
=
–
=
–
=
–
=
–
=
(b)
15 – 8 =
(c)
16 – 7 =
42
Subtract by first subtracting from 10. Fill in the blanks and complete the equations. (a)
Re ga le du ca tio n
3.
12 – 7 =
–
=
+
=
–
=
+
=
–
=
+
=
(b)
15 – 8 =
(c)
16 – 9 =
43
At Home Cross out the objects to get 10 first. Complete the equations.
Re ga le du ca tio n
1.
(a)
9
14 – 5 =
4
1
14 – 4
=
10
10 –
=
9
1
(b)
16 – 9 =
–
=
–
=
–
=
–
=
(c)
13 – 8 =
44
Re ga le du ca tio n
(d)
14 – 6 =
–
=
–
=
–
=
–
=
–
=
–
=
(e)
13 – 6 =
(f)
17 – 9 =
45
2.
Subtract by taking away the ones and adding to the 10. Fill in the blanks and complete the equations.
Re ga le du ca tio n
(a)
10
(b)
(c)
(d)
(e) e)
46
18 – 4 =
8
17 – 4 =
16 – 5 =
19 – 6 =
19 9–4=
14
8 –
4
=
10 +
4
= 14
–
=
+
=
–
=
+
=
–
=
+
=
–
=
+
=
4
Subtract by first subtracting from 10. Fill in the blanks and complete the equations. (a)
Re ga le du ca tio n
3.
10
(b)
(c)
(d)
(e) e)
13 – 8 =
3
12 – 9 =
14 – 6 =
15 – 7 =
13 3–9=
5
10 – 8
=
2
2 +
3 =
5
–
=
+
=
–
=
+
=
–
=
+
=
–
=
+
=
47
Let’s Practice
Re ga le du ca tio n
Complete the number bond. Write the number fact family. (a)
6
14
8
6
+
8
= 14
14 –
6
=
8
8
+
6
= 14
4 – 14
8
=
6
(b)
+
=
–
=
+
=
–
=
+
=
–
=
+
=
–
=
(c)
48
Re ga le du ca tio n
(d)
+
=
–
=
+
=
–
=
+
=
–
=
+
=
–
=
+
=
–
=
+
=
–
=
(e)
(f)
49
Hands On
ed uc ati on
Using number cards 1-10 and a one-minute timer, play y Sum m War. 1.
Divide the pack into two, shuffled and face down. wn.
2.
Each player turns over one card.
3.
entences ences as they th can in Both players make as many addition sentences 1 minute.
4.
If they run out of addition sentences, many ces,, write as m subtraction sentences as they can.
5.
When one minute is over, the he player with the most sentences takes the cards.
6.
Repeat until all the cards rds are e gone.
50
Ethan and Blake counted their coins.
ati on
Solve It!
du
They found they had 18 coins altogether.
Re ga
(a) Make two different addition subtraction sentences on and subtra ns each ach of the th showing how many coins them could have.
(b) If Ethan n has as 6 c coins, oins, how many does Blake have? Make a number number sentence showing how you know. ber bond ond and a n
51
At Home
Re ga le du ca tio n
Complete the number bond. Write the number fact family. (a)
12
5
5
7
12
7
+
=
–
=
+
=
–
=
(b)
6
8
14
+
=
–
=
+
=
–
=
(c)
9
52
16
7
+
=
–
=
+
=
–
=
(d)
15
+
(e)
6
+ +
(f)
4
le du ca tio n
+
11
=
–
=
=
–
=
=
–
=
=
–
=
18
19
Re g
5
12
114
+
=
–
=
+
=
–
=
53
Looking Back Add by counting on. Write an addition equation.
Re ga le du ca tio n
1.
(a)
+
=
+
=
(b)
2.
Use the number line e to count on from f the greater number. Complete the equations. ions. ns. 6
54
7
8
9
10
11
12 13 14 15 16 17 18 19 20
(a) 7 + 5 =
((b) 12 + 5 =
(c) 12 + 4 =
(d) 13 + 3 =
(e) 3 + 16 =
(f ) 11 + 2 =
(g) 18 + 2 =
(h) 4 + 14 =
(i)
(j)
5+9=
14 + 5 =
Add. (a) 1 1 + 5
(b) 1 5 + 2
(c) 1 2 4 +
(d) 1 5 + 1
(e) 1 0 + 5
(f) 1 4 + 3
Re ga le du ca tio n
3.
4.
Make a ten. Fill in the blanks. (a) 6 + 8 =
(b) 9 + 8 =
5.
+
=
+
=
+
=
+
=
Make a ten. Fill in the he blanks. blanks.
11 + 8
11 11 + 8 =
+
=
55
6.
Complete the equations. (a) 12 + 7 =
Re ga le du ca tio n
(b) 11 + 6 =
7.
(c) 14 + 3 =
(d) 15 + 3 =
(e) 7 + 9 =
(f) 9 + 8 =
Add.
(a)
(d)
8.
1 5 + 2
(b)
1 1 + 7
(e)
1 3 6 +
1 4 + 2
(f)
1 2 + 7
Complete the equations. qu qua
(c)
= 14
(b) 6 +
= 18
+ 2 = 17
(d) 5 +
= 17
(e) 13 +
= 19
(f)
+ 8 = 16
Use e the he number line to count back. Complete the equations. 6
56
(c)
+
(a) 9 +
9.
7 4
7
8
9
10
11
12 13 14 15 16 17 18 19 20
(a) a) 1111 – 3 =
(b) 14 – 6 =
(c) 15 – 7 =
(d) 13 – 7 =
10. Use doubles to add and subtract. Complete the equations.
Re ga le du ca tio n
(a)
+
=
–
=
+
=
–
=
+
=
–
=
(b)
(c)
11.
Subtract by taking away the e ones and adding a to the 10. Fill in the blanks and complete mplete ete the equations. eq e (a)
18 – 4 =
–
=
+
=
–
=
+
=
(b)
117 – 5 =
57
12. Subtract by taking away the ones and adding to the 10. Fill in the blanks and complete the equations.
Re ga le du ca tio n
(a)
(b)
(c)
18 – 7 =
17 – 4 =
16 – 3 =
–
=
+
=
–
=
+
=
–
=
+
=
irst subtracting subtractin subtract 13. Subtract by first from 10. Fill in the blanks ankss and complete comple the equations. com (a)
(b)
58
12 – 5 =
15 – 9 =
–
=
+
=
–
=
+
=
14.
Subtract. 1 5 – 2
(b)
1 1 – 7
(e)
1 7 – 4
(c)
1 4 – 2
(f)
1 3 – 6
Re ga le du ca tio n
(a)
(d)
1 2 – 7
15. Complete the number bond. Write the number fact family. ly. (a)
12
5
5
7
12
7
+
=
–
=
+
=
–
=
(b)
6
8
14
+
=
–
=
+
=
–
=
59
Addition and Subtraction to 100
Re ga le du ca tio n
2
Remember this!
How many cubes in all?
Add by counting on.
10
9
11
12
9 + 5 = 14 There are 14 cubes in all.
10 Find 13 + 5. Add by making 10.
13
5
10
8
13 + 5
13 + 5 = 18
10
60
3
= 10 + 8 = 18
13
14
Re ga le du ca tio n
Find 5 less than 20 by counting back on a number line. 8
9
10
11
12
13
14
15
16
17
18
19
20
20 – 5 = 15
Subtract by taking away the ones and adding to a 10. There are 17 apples on a tree. Halle picks 6 apples. How many apples are left?
17
17 is 10 and 7.
17 – 6 = 11
10
10
7–6=1
7
7–6 = 1 10 + 1 = 11
17 7 – 6 = 11 There apples left. here a are 11 app
61
Re ga le du ca tio n
Subtract by getting 10 first. Find 15 – 7.
10
5
15 – 7 = 8 5
2
115 5 – 5 = 110 0 10 – 2 = 8 10
10
15 – 7 = 8
rst. st Subtract from 10 first. Find 13 – 6.
10
3
13 – 6 = 7
10
4
13 – 6 = 7
62
3
3
10 – 6 = 4 4+3=7
Have a go! mber. Use the number line to count on from the greaterr number. Complete the equation.
Re ga le du ca tio n
1.
6
2.
7
8
9
10
11
(a) 7 + 4 =
(b) 11 + 5 =
(c) 13 + 3 =
(d) 16 + 2 =
(e) 14 + 5 =
(f) 15 5+5=
Make a 10. Fill in the blanks.
(a) 9 + 7 =
(b) 8 + 9 =
3.
12 13 14 15 16 6 17 18 19 20
+
=
+
=
+
=
+
=
Use the number mber line to count co back. Complete lete the equation. equa 6
7
8
9
10
11
12 13 14 15 16 17 18 19 20
( (a) 15 – 2 =
(b) 12 – 5 =
(c) 18 1 –2=
(d) 16 – 4 =
(e) 17 – 3 =
(f) 20 – 5 =
63
4.
Subtract by taking away the ones and adding to the 10. Fill in the blanks and complete the equations.
Re ga le du ca tio n
(a)
(b)
5.
18 – 6 =
19 – 6 =
+
=
–
=
+
=
–
=
–
=
Subtract by firstt subtracting subt su ing from fr 10. Fill in the blanks the equations. ks and complete com co (a)
(b) b)
64
=
Subtract by getting 10 first. Fill in the blanks and complete ete the equations. equatio equat 17 – 9 =
6.
–
15 – 8 =
13 – 9 =
–
=
+
=
–
=
+
=
Addition Without Regrouping
al ed uc ati on
Anchor Task
Tens
Ones e
65
Let’s Learn
Re ga le du ca tio n
Find 45 + 4.
Count nt on 4 ones 45. nes from 45
46
47
48 8
49 49
45
43 45 46 47 48 49 50
51
45 + 4 = 49
Find 62 + 6.
es. Then, add the t tens. First add the ones. 62 + 6 = 68 8
60
Tens Ones
6
2
2+6= 8 6 0 + 8 = 68 68 60
62 + 6 = 68
66
You can c also add like this.
+
6
2 6 8
Re ga le du ca tio n
Find 33 + 24.
First, add the ones.
Add the ten tens.
Tens Ones
+
3 2
3 4 7
Tens ens Ones
+
3 2 5
3 4 7
33 + 24 = 57
Find 62 + 37. Add the ones. Tens Ones
+
6 3
2 7 9
Add the tens. ens. Tenss Ones es
+
6 3 9
2 7 9
62 + 37 = 99 9
67
Let’s Practice Fill in the missing numbers. Complete the equation.
Re ga le du ca tio n
1.
(a)
18
19
20
21
22
23 3
24
25
43
44
45
46
47
48
49
72
73 3
74
75
76
77
78
92
93 9
94
95
96
97
98
61
62
63
64
65
66
67
21 + 3 =
(b)
42
43 + 4 =
(c)
71
75 + 2 =
(d)
91
91 + 5 =
(e) e)
60 6 0
62 + 4 =
68
Complete the equations. (a) 72 + 3 =
(b) 2 + 77 =
(c)
(d) 72 + 4 =
Re ga le du ca tio n
2.
3.
54 + 2 =
(e) 4 + 34 =
(f) 5 + 611 =
(g) 85 + 4 =
(h) 93 + 4 =
Add.
(a)
3
+
(c)
4
+
(e)
8
+
(g) g)
2
+
2 4
b) (b)
4 5
(d) (
3 1
6 2
5
7 2
8
6 3
5
2 5
8
3 4
+
+
(f)
+
(h)
+
69
4.
Add. 2 4
(b)
+
3 1
4 3
(d)
+
4 3
+
4 4
6 1
+
2 4
3 2
+
1 1
5 2
+
6 2
6 3
+
5 3
2 5
+
8 1
3 4
Re ga le du ca tio n
(a)
(c)
(e)
(g)
5.
70
(f)
(h)
Complete e the he equations. equatio (a) 23 3 + 13 3=
(b) 42 + 15 =
(c) 35 5 + 34 =
(d) 21 + 46 =
(e) 71 + 14 =
(f) 66 + 23 =
(g) 85 + 11 =
(h) 34 + 64 =
Fill in the blanks. Add.
Re ga le du ca tio n
6.
(a) 18 + 31 =
+
(c) 52 + 27 =
+
(e) 63 + 36 =
+
(g) 44 4 + 45 =
+
(b) 45 + 14 =
+
(d) 13 + 8 85 =
+
(f) 24 + 53 =
+
(h) 26 + 62 =
+
71
Solve It!
du c
tio n
Riley and Halle wanted to make sure they have enough gh counters ounters for a game. They y have 23 blue counters and 25 green g en ones. nes.
Re ga
(a) Show the ways: h totall number b off counters nters in in two off these h • a drawing • using number bonds • using addition with a place ce e value chart char
(b) If the game ame e needs needs a total ttota of 45 counters, do they have enough counters? ters? Tell how you y know.
72
At Home Complete the equations.
Re ga le du ca tio n
1.
(a) 23 + 13 =
(b) 42 + 15 =
(c)
(d) 21 + 46 =
35 + 34 =
(e) 12 + 72 =
2.
(f) 64 + 24 =
Fill in the blanks. Add. (a) 18 + 31 =
+
(c) 52 + 27 =
+
(e) e)) 62 2 + 36 =
+
(b) 45 + 14 =
+
(d) 13 + 85 =
+
(f) 24 + 53 =
+
73
Addition With Regrouping
Re ga le du ca tio n
Let’s Learn
Add 45 and 7. Tens
Tens ens ns Ones
Ones
4
+
5 7
First, add the on ones.
5 ones + 7 ones = 12 ones. Regroup oup the ones. 12 ones = 1 ten 2 ones Tens
Tens Ones
Ones
1
4
+
5 7 2
Tens
Tens Ones
Ones O
1
4
5 7
5
2
+
Add the e tens. te 4 tens + 1 ten = 5 tens 45 + 7 = 52
74
Add 16 and 28. Tens Oness
Ones
1 2
6 8
Re ga le du ca tio n
Tens
+
6 ones + 8 ones = 14 ones. Regroup the ones. es. 14 ones = 1 ten 4 ones Tens
Tens ens O Ones
Ones
1
+
1 2
6 8 4
Tens
Tens Ones
Ones
1
+
1 2
6 8
4
4
Add the tens. s. 1 tens + 2 tens + 1 ten = 4 tens 16 + 28 = 44
75
Let’s Practice Fill in the blanks.
Re ga le du ca tio n
1.
(a) Find 17 + 4.
Add the ones.
ones +
ones nes =
Regroup the ones.
Add the tens.
ones =
ten +
ones
ten te
ten =
one
tens
17 + 4 =
(b) Find 66 + 6.
Add dd the he ones.
ones. Regroup egroup the o on tens. Add th the ten
66 + 6 =
76
ones +
ones =
ones
ten
ones
ones =
tens +
ten =
tens
Fill in the blanks. Add.
Re ga le du ca tio n
2.
(a) 18 + 3 =
+
(c) 26 + 6 =
+
(e) 6 + 44 =
+
8+9= (g) 68
+
(b) 17 + 9 =
+
(d) 34 + 9 =
+
(f) 7 + 75 =
+
(h) 88 + 8 =
+
77
3.
Fill in the blanks.
Re ga le du ca tio n
(a) Find 45 + 18.
Add the ones.
Regroup the ones.
Add the tens.
ones +
ones es =
ones =
tens +
ones
ten en
ten =
ones
tens
45 + 18 =
(b) Find 28 + 56.
Add the ones.
Regroup up the ones. one Add dd the tens. te
28 + 56 =
78
ones +
ones =
ones
ten
ones
ones =
tens +
ten =
tens
Fill in the blanks. Add.
Re ga le du ca tio n
4.
(a) 12 + 18 =
+
(c) 17 + 36 =
+
(e) 38 + 38 =
+
(g) 66 6 + 17 =
+
(b) 24 + 19 =
+
(d) 54 + 2 27 =
+
(f) 15 + 55 =
+
(h) 47 + 47 =
+
79
At Home Add.
Re ga le du ca tio n
1.
(a)
3
+
(c)
4
+
2.
(b)
4 7
(d)
2
6 7
6
6 9
+
+
Fill in the blanks. Add using columns. (a) 32 + 8 =
+
(c) 67 + 7 =
+
80
5 5
(b) ( 43 + 8 =
+
(d) 49 + 9 =
+
3.
Add. 5 6
(b)
+
1 1
9 9
(d)
+
5 2
+
2 1
8 7
+
3 1
6 4
Re ga le du ca tio n
(a)
(c)
4.
Fill in the blanks. Add using columns. (a) 26 + 36 =
+
(c) 42 + 28 8=
+
(b) 28 2 + 18 =
+
(d) 75 + 15 =
+
81
Hands On
ca tio n
Materials • One set of problem cards per pair of partnered students udents ts • Place value chart • Counters or Rekenrek
Re g
Instructions One partner takes a card and reads the problem. roblem. lem. The other partner models the problem using g the counters count cou and place value chart or Rekenrek. Work ork together ogether to find the answer.
Finally, ally, complete the equation. (a) a) 24 + 15 =
(b) 34 + 15 =
(c) 28 + 5 =
(d) 28 + 15 5=
(e) 28 + 25 =
(f) 17 + 48 =
82
Solve It!
ca tio n
Sophie bakes 3 types of cookies for her party. She bakes 24 pistachio cookies, 38 chocolate chip cookies, ookies, es, and an 18 sugar cookies.
al
Her sister eats 6 cookies before the party starts. s. How many cookies does Sophie have for herr party when iti starts? Show how you know with a drawing along with computations. th computa
83
Adding Multiple Two-digit Numbers ers
Re ga le du ca tio n
Let’s Learn
Let’s find 23 + 16 + 45.
Tens Ones
2 1 4
First, align the ones and tens.
+
Add the ones. Remember to regroup the ones.
3 6 5
Tens Te Ones nes
1
+
Finally, add F the tens.
2 1 4
3 6 5 4
Tens Ones
1
+
3 6 5 4
2 1 4 8
23 + 16 + 45 = 84
Find 36 + 22 + 28 + 13. 3. Tens Ones
+
3 2 2 1
6 2 8 3
36 + 22 + 28 8 + 13 = 99 84
+
Tens T Te Ones
Tens Ones
1
1
3 2 2 1
6 2 8 3 9
+
3 2 2 1 9
6 2 8 3 9
Let’s Practice Add.
Re ga le du ca tio n
1.
(a)
1 5 6
(b)
+
1 2 4
3 8 2
(d)
+
2 4 2
1 9 0
(f)
+
6 1 1
3 2 9
(h)
+
3 2 3
2 1 8
(j)
+
1 6 1
(c)
(e)
(g)
(i)
+
3 1 3
9 2 3
+
2 5 1
7 5 2
+
2 3 2
7 4 8
+
5 1 2
6 9 2
+
2 2 3
1 7 8
85
2.
Add. (a)
(b)
1 2 7 6
+
3 2 2 1
5 2 2 8
1 0 8 8
(f (f)
+
2 1 4 1
2 1 8 3
(h)
+
3 1 2 1
5 6 5 2
(j)
+
4 2 1 1
+
2 3 1 2
5 4 7 1
+
3 1 2 2
1 3 9 5
+
1 1 2 3
7 8 3 1
+
3 2 1 1
4 6 0 7
+
1 1 2 2
2 3 9 2
Re ga le du ca tio n +
1 2 4 1
(c)
(e)
(g)
(i)i)
86
(d)
At Home Fill in the blanks. Add using columns.
Re ga le du ca tio n
1.
(a) 16 + 36 + 45 =
+
(c) 19 + 16 + 31 =
+
(e) 50 0 + 15 5 + 18 =
+
(b) 35 + 27 + 20 0=
+
(d) 14 + 25 + 38 =
+
(f) 43 + 29 + 22 =
+
87
Fill in the blanks. Add using columns.
Re ga le du ca tio n
2.
(a) 11 + 16 + 25 + 20 =
+
(c) 22 + 27 + 24 + 21 =
+
(e) 16 + 16 6 + 13 + 25 =
+
88
(b) 31 + 27 + 13 + 11 =
+
(d)) 12 + 39 3 + 21 + 15 =
+
(f) 26 + 17 + 21 + 22 =
+
Solve It!
al
ati on
Blake stored his books on three shelves. The top shelf had 19 books. elf. The middle shelf had 12 more books than the top shelf. ddle shelf. s The bottom shelf had 5 more books than the middle Find out how many books were on each shelf and how many man books he had altogether.
89
1-Step Addition Word Problems
ion
Let’s Learn
Re ga le du
A baker makes 42 chicken pies and 37 pumpkin pies. How many pies does the baker bake altogether? r??
42
37
chicken pies
pumpkin pumpki pies
?
Add 42 and 37 to find the total.l.
4 2 + 3 7 7 9
42 + 37 = 79 The baker ker bakes bak 79 pies altogether.
90
Keira and Riley go shopping. Keira has $56. Riley has $15 more than Keira. How much money does Riley have? $15
ed uc ati o
$56
more
Keira’s money
15
Riley’s money
+
?
56 + 15 = 71 Riley has $71.
6 1 5
7
1
Re g
Halle and Sophie visit the zoo. Halle takes 68 photographs. phs. Sophie takes 27 photographs. S How many photographs do Halle and Sophie take in total?
68
27
Halle’s photos H
Sophie’s photos ?
16
8 + 2 7 9 5
68 + 27 = 9 95 Halle and Sophie take 95 photos in total. 91
Let’s Practice Fill in the blanks to complete the word problems.
on
1.
Re ga le du ca
(a) Ethan borrows 12 books from the school library on Monday. He borrows another 6 books on Tuesday. How many books did he borrow in total?
Monday
Tuesda Tuesday
?
+
+
=
Ethan borrowed we
books in total. boo
(b) A green grocer cer sells 28 2 green apples and 29 red apples. How many any y apples does do he sell in all?
green apples
red apples
?
+
=
The he green grocer sells
92
apples in all.
+
Re ga le du ca tio n
(c) Movie tickets cost $19 for adults and $15 for children. et? What is the total price for 1 adult and 1 child ticket?
Adult
Child
?
+
+
=
The total price for 1 adultlt and 1 c ch child is
2.
.
Use the space provided ded d to complete comple the word problems. s (a) Dominic has 24 coins. 2 coins. coin Blake has 32 How many have in all? ny coins do they the t
+
Dominic om and Blake have
coins in all.
93
le du ca tio n
(b) There are 33 seagulls on the beach. Another 27 seagulls fly in to join them. How many seagulls are on the beach now?
+
There are
seagulls ulls ls on the beach bea now.
Re g
ashells hells in his collection. c (c) Wyatt has 67 seashells ach, he collects co c On a trip to the beach, another 14 shells. How many shells she does shell es Wyatt Wy have?
Wyatt W has
94
+
shells.
Solve It!
ati on
Make a bar model. Then use counting cubes or a Rekenrek enrek ek to solve. Show your work with a drawing.
al
0-egg cartons carton Riley’s chickens laid enough eggs to fill up two 10-egg on Friday. The next day they laid enough eggs to fill up one gs did they llay carton and half of another one. How many eggs on the two days.
95
Solve It!
al
ion
Halle cared for 18 kittens on her first day at the animall shelter. elter. In h time. me. How Ho the next two days, she cared for 5 more kittens each many kittens did she care for over the three days??
96
At Home Fill in the blanks to complete the word problems.
Re ga le du ca tio n
1.
(a) Riley picked flowers in her garden. She picked 25 daisies and 8 roses. How many y flowers did she pick p in total? l?
daisies
roses rose
+
?
+
=
Riley picked
flowers owers in total.
(b) Michelle walks ks 18 steps ste to the garden. She then n walks another anoth 36 steps to the pond. How many ny steps did di she sh walk in total? ?
to garden
to pond
+
+
=
Michelle ch walks
steps in total.
97
Re ga le du ca tio n
(c) A coffee shop sells 42 cups of coffee and 39 cups of tea. How many hot drinks did they sell in total?
coffee
tea
+
?
+
=
The coffee shop sold
2.
hot drinks drin in total.
Use the space provided ed to complete the word problems. ht some ome chairs chai cha for his office. (a) Mr. Olsen bought k chairs and 28 blue chairs. He ordered 25 black How many y chairs did d he buy in all?
Mr. M Olsen O bought
98
chairs in all.
They carried
ed uc ati on
(b) Jordan helps his father carry boxes to the car. 6 boxes. boxe oxe Jordan carries 14 boxes and his father carries 26 How many boxes did they carry in all?
boxes xes es in all.
Re g
mburger ger resta (c) Super Dooper Hamburger restaurant sold 24 d 67 spicy burgers. b cheeseburgers and How many hamburgers burgers rgers did they sell in all?
The restaurant rest sold
hamburgers in all.
99
Subtraction Without Regrouping
Re ga le du ca tio n
Let’s Learn
Find 38 – 6.
Let’s count back and cross out the ones. 8 ones – 6 ones = 2 ones. Tens
Tens Ones
Ones
3
–
8 6 2
Subtract the tens. Tens
Tens Ones
Ones
3
8 6
3
2
–
There are no tens to o subtract. subt sub 3 tens – 0 tens = 3 tens. 38 – 6 = 32 We can subtract btract the ones mentally. entally.
100
8–6=2 38 – 6 = 32
Subtract 34 from 57.
Re ga le du ca tio n
Subtract the ones. 7 ones – 4 ones = 3 ones. Tens
Ones
Tens ens Ones
–
5 3
7 4
3
Subtract the tens. Tens
Ones
Tens Ones
–
5 3
7 4
2
3
5 tens – 3 tens = 2 tens. ns. 57 – 34 = 23 Subtract thee ones and tens mentally.
1 01
Let’s Practice Cross out blocks to subtract. Fill in the blanks.
Re ga le du ca tio n
1.
(a) Find 29 – 6.
Subtract the ones. ones –
ones =
ones
Subtract the tens.
tens – 0 tens =
tens ens
29 – 6 =
(b) Find 63 – 22.
ones. Subtract act the ones one ones – one
ones =
ones
Subtra th Subtract the tens. tens te –
63 – 22 =
1 02
tens =
tens
2.
Subtract. (a)
8 7
(b)
9 5
(d)
–
3 1
7 6
–
7 5
4 3
Re ga le du ca tio n
2
–
(c)
8 4
–
3.
Fill in the blanks. Subtract using columns. (a) 55 – 14 =
–
(c) 42 – 30 0=
–
(b) ( 78 – 21 =
–
(d) 96 – 92 =
–
1 03
Hands On
Re ga le du ca tio n
Start with 48 cubes. Now take away 20.
Now take away 3 more.
How many do you have left?
Write a subtraction sentence showing what at you did.
Model 67 - 33 with chips on n the place value va chart. Tens
Ones
Then n write your ssteps and the final equation.
104
Solve It!
eg a
Step 1
ed uc ati on
Blake has 47 toy trucks, and Ethan has 35 toy trucks. Together ether they give away 52 toy trucks. How many toy trucks are they hey left with together?
Step 2
1 05
At Home Subtract.
Re ga le du ca tio n
1.
(a)
1
–
(c)
–
2.
3 1
(b)
7 1
(d)
–
2 1
4 3
–
6 2
8 2
Fill in the blanks. Subtract vertically.
(a) 52 – 21 =
–
(c) 93 3 – 30 =
–
106
6 5
(b) 66 – 44 =
–
(d) 65 – 53 =
–
Fill in the blanks. Subtract vertically.
Re ga le du ca tio n
3.
(a) 76 – 16 =
–
(c) 82 – 60 =
–
(e) 66 – 34 4=
–
(b) 78 – 45 =
–
(d) 94 – 92 =
–
(f) 88 – 17 =
–
1 07
Subtraction With Regrouping
Re ga le du ca tio n
Let’s Learn
Find 34 – 8. Tens
Tens ens ns Ones
Ones
3
–
4 8
There are not enough ones to subtract!
We cannot subtract 8 ones es from om 4 ones. ones one Regroup 1 ten into 10 ones. es. Tens
Tens Ones
Oness
2
3
–
14 4
8
We now have ave 14 ones. es = 6 ones. one 14 ones – 8 ones Tenss
Tens Ones
Ones O
2
3
–
8
2
There are to subtract. are no tens t 34 – 8 = 26
108
14 4
6
Subtract 25 from 62. Ones
Re ga le du ca tio n
Tens
Tenss Ones ne
6 2
–
2 5
We cannot subtract 5 ones from 2 ones. es. Regroup 1 ten into 10 ones. Tens
Ones
Tens Ones
5
–
6 2
12 2
5 7
12 ones – 5 ones = 7 ones. nes. Subtract the tens. s. Tens
Ones On
Tens Ones
5
–
6 2
12 2
3
7
5
5 tens ens – 2 tens = 3 tens. 62 – 25 5 = 37 3
1 09
Let’s Practice Cross out the blocks and fill in the blanks.
Re ga le du ca tio n
1.
(a) Find 22 – 8.
Regroup 1 ten into 10 ones. ones – ten –
ones =
tens =
ones one
ten
22 – 8 =
(b) Find 34 – 15.
group up 1 ten into 10 ones. Regroup ones –
ones =
tens –
ten =
34 – 15 =
110
ones
ten
2.
Subtract. (a)
4 6
(b)
2 9
(d)
–
3 1
3 4
–
6 2
5 8
Re ga le du ca tio n
2
–
(c)
–
3.
4 1
Fill in the blanks. Subtract vertically.
(a) 72 – 24 =
–
(c) 88 – 59 9=
–
(b) 55 – 17 =
–
(d) 92 – 46 =
–
111
At Home Cross out the blocks and fill in the blanks.
Re ga le du ca tio n
1.
(a) Find 33 – 17.
Regroup 1 ten into 10 ones. ones –
ones =
tens –
ten =
ones
t ten
33 – 17 =
(b) Find 45 – 28.
Regroup group up 1 ten into 10 ones. ones –
ones =
tens –
tens =
45 – 28 =
112
ones
ten
Fill in the blanks. Subtract vertically.
Re ga le du ca tio n
2.
(a) 71 – 15 =
–
(c) 50 – 32 =
–
(e) 82 – 28 8=
–
(b) 64 – 46 =
–
(d) 90 – 54 =
–
(f) 41 – 14 =
–
1 13
1-Step Subtraction Word Problems ms
Re ga le du ca tio n
Let’s Learn
Keira scored 93 points on her spelling test. Michelle scored 12 points less than Keira. How many points did Michelle score on her spelling test? 93
Keira’s spelling score
Michelle’s spelling score
fewer points ffe
?
12
Subtract the difference to find Michelle’s scor score.
9 3 – 1 2 8
93 – 12 = 811 Michelle elle scored cored 81 points poin on the spelling test.
114
1
on
Re ga le du ca
Mr. McDonald has 85 animals on his farm. There are 48 sheep. The rest of the animals are cows. How many cows are on Mr. McDonald’s farm?
85
sheep
cows co
48
?
Regroup 1 ten into 10 ones es before you subtract.
7
8 15 5 – 4 8 3 7
85 – 48 = 37 There are re 37 cows on Mr. M McDonald’s farm.
1 15
Let’s Practice Fill in the blanks to complete the word problems.
ed uc ati on
1.
(a) There are 76 children in the playground. 33 children are boys. How many girls are in the playground?? ?
boys
girls
–
– There are
=
girls rls in the playground. playg
(b) A fisherman takes kes 60 crabs crab to t the market. He sells 46 crabs. a How many crabs crab does d s he have left?
Re ga
?
remaining aining
–
–
=
The fisherman fish has
116
sold
crabs left.
Re ga le du ca tio n
(c) Halle spends $64 on a pair of shoes. Riley buys a pair of shoes for $15 less. How much did Riley’s shoes cost?
Cost of Halle’s shoes
Cost of Riley’s shoes
–
?
–
=
Riley’s shoes cost $
2.
.
ed to complete the word problem. Use the space provided
urant nt sells 82 8 bowls of ice cream, On Sunday, a restaurant res rant ant sel On Monday, the restaurant sells 16 fewer bowls of ice cream. How many bowls wls ls of ice i cream a were sold on Monday?
bowls bo of ice cream were sold on Monday.
1 17
At Home Fill in the blanks to complete the word problems.
Re ga le du ca tio n
1.
(a) A baker bakes 92 donuts. She sells 55 donuts. How many donuts does she have left? ?
donuts sold
donuts left ft
–
–
=
There are
donuts nuts left. le
(b) On Saturday, 74 4 customers stomers visit v a clothing store. On Sunday, 26 fewer visit the store. er customers custo How many customers visit custo custom vis the store on Sunday?
Customers on Saturday Custome
Customers on Sunday
–
?
–
On n Sunday, S
118
=
customers visited the clothing store.
Use the space provided to complete the word problems. (a) There are 41 passengers on a bus. At the next stop, 9 passengers get off. s? How many passengers are left on the bus?
Re ga le du ca tio n
2.
passengers are left eft on the bus.
(b) Sophie scores 86 her Science test. 6 points oints on h fe r points on her English test. She scores 177 fewer How many y points did d she he score on her English test?
Sophie oph scored
points on her English test.
1 19
Solve It!
n
aturday or At the lemonade stand, the class raised $34 on Sat Saturday turday day for fo earthquake victims. On Sunday, they raised $48.
du
1.
Re ga
(a) How much more did they ey raise on Sunday than on Saturday?
(b) How ow much did they raise over the entire weekend?
120
Dominic and Wyatt had a tag sale. Dominic made $39 on his items. Wyatt made $53. They both agree that Wyatt tt made mad more.
Re ga le du ca tio n
2.
Dominic said Wyatt made than him because he did e $26 more tha the subtraction like this.
$53 53 – $39 $26
Wyatt said he made ade $14 $ more because 39 + 1 = 40, and 40 + 13 = 53, so add the partial addends to make $14. part p
$39
+1
+13
$40 $53 1 + 13 = 14
Who iss correct? error did the other one make? correct? What W Show Show your thinking. thinkin th
121
2-Step Word Problems
ati on
Let’s Learn
Blake has 12 toy cars. Dominic has 3 more toy carss than an Blake. How many toy cars do they have altogether?
Re ga le du
First, let’s t’s find how have manyy cars I have.
Step 1
3
12
Blake’s cars
Dominic’s cars ars ?
To find the number ber of cars that th Dominic has, we add. 12 + 3 = 15 Dominic has 15 toy oy cars. Now we can number of toy cars. an find nd the total tota nu
Step 2
12
15
Blake’s cars c
Dominic’s cars
?
12 + 15 = 27 2 Blake and Dominic have 27 toy cars altogether.
122
Re ga le du ca tio n
In January, Jordan saves $36. In February, he saves $15 more than in January. How much money did he save in total?
Step 1 Find the amount of money Jordan n saves ves in February. Febr Feb $36
5 $15
January
13
+
February y
6 1 5
5 1
?
36 + 15 = 51 Jordan saves $51 in February. February
Step 2 Add the amounts mounts nts together togethe to find the total. $36
$51
January anuary
February
?
3 6 + 5 1 8 7
36 + 51 = 87 8 Jordan saved $87 in total.
123
Re ga le du ca tio n
Halle has 53 stickers. Sophie has 12 fewer stickers than Halle. How many stickers do they have combined?
Step 1 Subtract to find Sophie’s stickerr amount. amoun 53
Halle’s stickers rs
rs Sophie’s stickers
fewer
5 3 – 1 2 4
?
1
12
53 – 12 = 41 Sophie has 41 stickers. ers. We can add to find the combined number of stickers. comb co Step 2
?
Halle’s sstickers
Sophie’s stickers
53
41
5 3 + 4 1 9 4
53 + 41 = 94 9 Halle and Sophie have 94 stickers combined.
1 24
tio n
In the morning, a florist sells 45 roses. She sells 16 fewer roses in the afternoon. Find the total number of roses sold in the day.
Re ga le du
Find the number of roses sold in the afternoon.
Step 1
45
Roses sold in the morning
Roses sold in the afternoon oon
fewer sold
?
16
4 15 5 – 1 6 3
2 9
45 – 16 = 29 29 roses were sold in the afternoon. aft afterno Now we can add d to find the th total to number of roses sold in the day.
Step 2
45
29
Morning
Afternoon
?
1
4 5 + 2 9 7 4
45 + 29 = 74 7 The florist sold 74 roses in the day.
125
Let’s Practice Fill in the blanks to complete the word problems.
Re ga le du ca tio n
1.
(a) There are 38 visitors to the museum on Saturday. aturday. rday. There are 17 more visitors on Sunday. How many people visited the museum m on the weekend? weeke Step 1 Find the number of visitors on Sunday. unday. ay.
Saturday
Sunday
+
?
+
=
On Sunday,
people ople visited the museum.
Step 2 Add the for both days. he number umber of visitors visit
Saturday
Sunday
?
+
+
=
people visited the museum on the weekend.
1 26
Re ga le du ca tio n
(b) There are 33 ducks swimming on the lake. There are 15 fewer geese than ducks. e lake. Find the total number of ducks and geese on the Step 1 Find the number of geese on the lake.
ducks
geese
fewerr
–
?
–
=
There are
geese eese se on the lake. l
Step 2 Add to find the of ducks and geese. e total number num nu
ducks cks
geese
?
+
There are
+
=
ducks and geese on the lake. 127
2.
Use the space provided to complete the word problems.
Step 1
Re g
Step 2
There T are a
1 28
ed uc ati on
(a) In a treasure chest there are 32 silver coins. ns. There are 8 more gold coins than silver coins. oins. s. Find the total number of silver and gold coins.
silver and gold coins.
Step 1
Re g
Step 2
There are a
ed uc ati on
(b) On a farm there are 60 goats. There are 43 fewer sheep than goats. Find the total number of goats and sheep on the farm.
goats and sheep on the farm.
129
ed uc ati on
Solve It!
The second graders went to an amusement usement p park. When they got o to the teacup teacu ride first. The other there, 24 students wanted to go e Ferris whe 36 students wanted to go to the wheel first.
Re ga
(a) How many students went park? nt to the amusement am
(b) How students wanted to go to the Ferris wheel w many any more stud stu than ride? an the he teacup ride
130
Hands On
Re ga le du ca tio n
Working with a partner and your number cards, draw w 2 cards ards em with the t each. Then one of you write an addition word problem ne. Give each numbers and the other one writes a subtraction one. other the problems, and solve them.
Do it again after drawing new cards, but switch roles with ain aft the operations.
1 31
At Home Fill in the blanks to complete the word problem.
Re ga le du ca tio n
1.
(a) At a restaurant, 18 people are sitting inside. 14 more people are sitting outside. How many people are at the restaurant? nt? Step 1 Find the number of people sitting g outside. tside.
people inside
people outside de
+
?
+
=
There are e
people ple sitting outside.
Step 2 Add people sitting inside and outside. d the e number of p
people ople inside
people outside
?
+
+
There Th are
132
=
people at the restaurant.
ed uc ati on
(b) A bakery sold 57 cookies. It sold 28 fewer cupcakes than cookies. n total? tal? How many cookies and cupcakes were sold in Step 1 Find the number of cupcakes sold.
? cupcakes
fewer er
cookies
–
–
=
cupcakes es were sold. sold
Re ga
Step 2 Add the and cupcakes sold. e number umber of cookies c
cupcakes pcakes
+
cookies ?
+
=
cookies and cupcakes were sold in total. 1 33
2.
Use the space provided to complete the word problems.
Step 1
Re g
Step 2
ed uc ati on
(a) A juice shop sold 45 bottles of orange juice. It sold 16 fewer bottles of apple juice. How many bottles of juice were sold in all??
bottles of juice were sold in all. bo
1 34
Step 1
Re g
Step 2
Halle saved save $
du ca tio n
(b) In March, Halle saved $44. She saved $8 more in April. ril? How much money did Halle save in March and April?
in March and April.
1 35
Looking Back Fill in the blanks. Add.
Re ga le du ca tio n
1.
(a)
3
+
(c)
5 1
+
1 7
(b)
8 5
(d)
+
2 1
4 3
+
3 4
6 4
(e) 67 + 9 =
(f) 18 + 27 =
+
+
(g) 33 + 48 =
(h) 5 + 6 + 7 =
+
+
1 36
Fill in the blanks. Subtract. (a)
2
9 6
(b)
2 5
(d)
–
4 1
7 7
–
4 3
1 5
Re ga le du ca tio n
2.
–
(c)
5 2
–
(e) 74 – 38 =
–
(f) 38 – 19 =
–
(g) 82 – 48 =
–
(h) 95 – 67 =
–
1 37
3.
Fill in the blanks to complete the word problems.
Re ga le du ca tio n
ket. (a) Mrs. Lombard takes 85 candles to sell at the market. She sells 38 candles. How many candles does she have left?
candles sold
candles left ft ?
–
–
=
She has
candles les left. eft
(b) Halle and Sophie cookies for the school fair. e make cooki coo Halle bakes 33 cookies okies kies and Sophie bakes 18 cookies. How many cookies do coo cooki o they the bake in all?
cookies Halle’s co
Sophie’s cookies
?
+
+
=
Halle Ha and Sophie bake
1 38
cookies in all.
Re ga le du ca tio n
(c) On a farm there are 42 chickens in the yard. There are 15 fewer chickens in the coop. How many chickens are there in all? Step 1 p. Find the number of chickens in the coop.
chickens in yard
fewer few
chickens in coop
–
?
-
=
There are
chickens ckens in tthe coop.
Step 2 Add to find of chickens. nd the total tota number n
chickens in y yard
chickens in coop
?
+
There er are
+
=
chickens in all.
1 39
Numbers to 1,000
Anchor Task
140
on
3
1 41
Hundreds, Tens and Ones
Re ga le du ca tio n
Let’s Learn
We can put 10
together to make one
.
10 ones nes makes 1 ten ten.
10 ones
How many
1 ten
altogether?
Tens One Ones 2
4
20
4
2 tens 4 ones = 24 20 + 4 = 24 We write: 24 We read: twenty-four How many
altogether??
Tens Ones 6
60
ns 8 ones = 68 6 tens 60 0 + 8 = 68 6 We write: 68 We read: sixty-eight read sixty-
142
8
8
Let’s put 10
Re ga le du ca tio n
together.
10 tens make 1 hundred. ndred.
10 tens
1 hundred
10 tens = 1 hundred We write: 100 We read: one hundred
Let’s put some hundredss together ogether and a an count. How many blocks are re there? t ?
100, 200, 300, 400.
We write: 400 hundred We read read: four h
1 43
altogether?
Re ga le du ca tio n
How many
500
60 0
5 hundreds 6 tens 5 ones = 565 500 + 60 + 5 = 565 We write: 565 We read: five hundred and d sixty-five xty-five Let’s put 10
together. er.
10 hu hundreds make 1 thousand.
We wr write: 1000 ead: one thousand We read:
1 44
5
Let’s Practice Write the number of sticks.
Re ga le du ca tio n
1.
(a)
(b)
(c)
(d)
(e)
1 45
Match.
Re ga le du ca tio n
2.
146
six hundred and twenty-one
523 52
one hundred and six
951
five hundred and twenty-three tw wenty-three nty-three nty thre
621
three hundred ndred and sixty-three sixt
106
nine hun hundred ndred and fifty-one
363
3.
Write the number. (a)
Re ga le du ca tio
two hundred and twenty-nine
(b)
nine hundred and ninety-three ty-three thre
(c)
five hundred dred d and sixty-nine sixt sixty
(d)
five ve hundred hundre a and twenty-three
( (e)
three hundred and fifty-one th
1 47
4.
Write the number in words.
Re ga le du ca tio n
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h) (
148
5.
Write the number in numerals and words.
Re ga le du ca tio n
(a)
(b)
(c)
(d)
1 49
6.
Fill in the blanks.
Re ga le du ca tio n
(a)
100 + 30 + 4 =
(b)
300 + 40 + 8 =
(c)
400 + 20 + 1 =
(d)
700 0 + 40 + 9 =
150
Re ga le du ca tio n
(e)
+
+
=
+
+
=
(f)
1 51
Hands On
Re ga le du ca tio n
Model these numbers.
(a) 42
(b) 321 (
(c) 586
(d) 907
152
Solve It!
Re ga le du ca tio n
Match the numbers in 2 ways.
Nine hundred dred and hree e forty-three
300 00 + 50 + 4
Three hundred and Th fifty-four f
300 + 40 + 2
900 + 40 + 3
Three hundred and forty-two
153
1.
Match.
du ca tio n
At Home
five hundred and forty
four hundred and fifty
two hundred and twenty-six ty-six -six i
an thirty-six y-six i five hundred and
undred dred d d and d twenty-two twen t six hundred
R
two hundred and forty t h hund d
154
622 6 2
450
536
240
540
226
2.
Write the number in numerals and words.
Re ga le du ca tio n
(a)
(b)
3.
Write the number in words.
(a)
(b)
(c)
(d)
155
4.
Fill in the blanks.
Re ga le du ca tio n
(a)
500 + 30 + 8 =
(b)
0+5= 600
(c)
+
156
+
=
Re ga le du ca tio n
(d)
+
+
=
+
+
=
(e)
157
Place Value to 1,000
Re ga le du ca tio n
Let’s Learn
How many buttons are there altogether? Hundreds
100
Tens
Ones O
10
110 0
110 0
10 0
110 0
10
100
100
100
10
4
4
0
7
0
7
4
8
0
8
0 7 0 8
8 ones or 8
7 tens or 70
4 hundreds or 400
400 + 70 0 + 8 = 478 There are 478 4 buttons altogether.
1 58
What number is shown in the place value chart? Tens
Ones
6
9
5
Re ga le du ca tio n
Hundreds
6
0
0
9
6
0
5
0 9 0 5
5 ones or 5
9 tens or 90
6 hundreds or 600
6 hundreds tens 5 ones = 695 undreds 9 te undre 600 + 90 + 5 = 695
159
Let’s Practice Fill in the blanks. Write the number in numerals and words.
Re ga le du ca tio n
1.
(a)
Hundreds
Tens
hundreds
+
(b)
+
Tens
h hu hundreds u
160
+
ones
=
Hundreds nd
+
te tens
Ones On
=
tens
Ones
ones
(c)
Tens
Ones
Re ga le du ca tio n
Hundreds
hundreds
+
(d)
+
Tens
hundreds hu +
ones
=
Hundreds
+
tens
tens
Ones
ones
=
1 61
2.
Fill in the missing numbers.
267
(b)
506
(c)
ed uc ati o
(a)
200 +
+7=
+
+6=
400 4 00 + 40 + 9=
(d)
987 9 87
+ 80 +
=
790
+ 90 +
=
(e) (e
1 62
3.
Write the value of the digit. (b)
Re ga le du ca tio n
(a)
(c)
(d)
(e)
(f)
(g)
(h)
(i))
(j)
1 63
Match.
1
0
0 6
0
3
3
8 5 9 8
3
0
0 8
0
5
8
0 4 9 8
9
0
0
1
0
8
5
0 2 9 8 2
8
0
0 4
0
8
1
6 3
5
0
0 2
0
2
9
01 9 8
2
0 0 9
0
9
9 5 8 5 9 8
9
0
0 5
0
5
2
Re ga le du ca tio n
4.
1 64
0 9 9 8
Fill in the blanks. (a)
4 0 8
Re ga le du ca tio n
5.
+
(b)
7
1
=
+
=
+
=
8
+
(c)
+
2 7 0
+
1 65
Fill in the blanks. (a)
ed uc ati on
6.
The value of the digit igit 3 is
132
(b)
206 (c)
879
e digit 1 is The value of the
.
.
The value off the he digit 2 is
.
The digit 6 is e value ue of the d
.
The e value of tthe digit 0 is
.
The value of the digit 2 is
.
The value of the digit 8 is T
.
The value of the digit 9 is
.
The value of the digit 7 is
.
The value of the digit 0 is
.
(d)
The value of the digit 1 is
610 1 66
The value of the digit 6 is
. .
(e) is 90 900.
The value of the digit
is 2. 2
The value of the he e digit
is i 80.
The value digit alue e of the dig
is 0.
e value ue of the th digit The
is 90.
The e value of o the digit
is 400.
The value of the digit Th
is 10.
T The value of the digit
is 700.
The value of the digit
is 5.
The value of the digit
is 300.
The value of the digit
is 8.
The value of the digit
is 40.
Re ga le du ca tio n
The value of the digit
982
(f)
490
(g)
715
(h)
348
1 67
(i)
906 (k)
is in the hundreds undreds dreds place. plac
The digit
is in the e ones nes place.
The digit
is in n the tens place. plac
The digit
is in the ones place.
git The digit
is in tthe tens place.
e digit The
is in the hundreds place.
The Th he digit dig
is in the tens place.
he digit The
is in the ones place.
The digit Th The
is in the hundreds place.
The digit
is in the hundreds place.
The digit
is in the ones place.
The digit
is in the tens place.
ed uc ati on
672
(j)
The digit
194 94
(l)
837
168
Color the circles to show each number. Color a circle green to show 1. Color a circle red to show 10. Color a circle blue to show 100. (a)
ed uc ati on
7.
285
Re g
(b)
729
1 69
ca tio n
(c)
four hundred and sixty-threee
(d)
Re ga le
seven hundred ndred and n nine
(e)
eeight eig igght h hun hundred and twenty-four
170
Hands On
Re ga le du ca tio n
Materials Place value cards Number disks (ones, tens, hundreds) Place value charts to 100 (unlabelled)
Activity ng the number num nu In partners, Partner A models a number using disks. p to the number. num Starting with the Hundreds, they countt up rds to model the t number. Partner B uses the Place Value cards o the page. Partner A writes the number in the blanks on oles. Then the partners switch roles. Numbers to model: a) 125 (a) b) 379 (b) c) 638 (c) d) 904 (d)
1 71
At Home Fill in the blanks. Write the number in numerals and words.
Re ga le du ca tio n
1.
(a)
Hundreds
Tens
hundreds
+
(b)
+
Tens
hundreds
172
+
ones
=
Hundreds
+
tens ens
Ones On
=
tens
Ones
ones
Match.
2
0
0
1
0
1
7 6 4
3
0
0 8
0
4
7 4 6
9
0
0 5
0
2
2
7
0
0 4
0
6
3 8 4
7
0
0 6
0
4
2 9 2
2
0 0 9
0
2
4 6
4
0
0 6
0
1
9 5 2
Re ga le du ca tio n
2.
1
1
1
1 73
3.
Fill in the blanks.
3 5 9
Re ga le du ca tio n
(a)
+
(b)
1
5 0
+
174
=
+
=
+
=
6 2
+
(c)
+
1
Write the number. (a) The digit 6 is in the tens place. The digit 1 is in the ones place. The digit 8 is in the hundreds place.
Re ga le du ca tio
4.
ds place. ce. (b) The digit 5 is in the hundreds e The digit 0 is in the ones place. The digit 2 is in the tens place.
(c) The digit 9 is in the ones place. o The digitt 7 iss in the tens te place. git 4 is in the hundreds hund h The digit place.
dig 8 is in the tens place. (d) The digit The digit 9 is in the hundreds place. The Th digit dig 3 is in the ones place.
1 75
Solve It!
Re ga le du ca tio n
Sophie and Jordan made their own place value chart.t. Our place value poster showss 3324.
Find the value of each sticker.
= = =
Find the values ues on each place pla p value chart. (a)
176
Re ga l
(c)
ca tio n
(b)
(d)
1 77
Comparing Numbers to 1,000
Re ga le du ca tio n
Let’s Learn
Compare 42 and 34.
This sign means greater than.
42
34
42 is greater than 34. 42 > 34
Compare 55 and 63.
55
55 is smaller maller tthan 63. mal 55 < 63
178
This sign m means ssmaller than.
63
Compare 627 and 569. Which number is smaller? Tens
Ones
eg al ed uc ati on
Hundreds
6 2 7
First, compare thee hundreds.
5 6 9
5 hundreds is smaller maller ler than 6 hundreds. hun So, 569 69 is smaller than han 627.
569 < 627
1 79
Compare 446 and 478. Which number is greater? Tens
Ones
Re ga le du ca tio n
Hundreds
The hundreds are the same.
Compare mpare the values in the tens place.
4 4 6 4 7 8
7 ttens is greater than 4 ones.
So, 478 is greater than 446.
478 > 446
180
Compare 629 and 626. Which number is greater? Tens
Ones
Re ga le du ca tio n
Hundreds
The hundreds and tens are the same.
C Com Compare the values in the ones place.
6 2 9
6 2 6
9 ones is greater than 6 ones. So, 629 is greater than 626.
629 > 626
1 81
Re ga le du ca tio n
Compare 418, 246 and 273. Which is the greatest? Which is the smallest? Hundreds
Tens
Ones
4 hundreds is greaterr than t 2 hundreds. hundr So, 418 is the greatest. est. st.
Let’s arrange numbers from the range ge the numbe greatest smallest. est to o the smalles
1
8
greatest est
182
2
7
3
2
1
8
2
4
6
2
7
3
First, compare the hundreds.
Compare the tens ens in 246 and 273. 27 4 tens is smaller ler than an 7 tens. tens So, 246 is the e smallest mallest number. numbe num
4
4
4
6
smallest
Let’s Practice Tick the set that shows the greater number.
Re ga le du ca tio n
1.
(a)
(b)
(c)
(d)
1 83
How many buttons are there? Which is the greater number?
Re ga le du ca tio n
2.
(a)
10
100
100
10
10
110 0
10
100
The greater number is
.
(b)
100
100
1100 00
100
1100 10 00
100 0
1100 00
1100 00
100
10
10
10
1100 00
100
100
The number is Th greater g
184
.
How many cubes are there? Which is the smaller number?
Re ga le du ca tio n
3.
(a)
The smaller number is
.
number is The smaller sma
.
(b)
1 85
4.
Circle the greater number.
Re ga le du ca tio n
(a)
(b)
(c)
(d)
5.
Circle the smaller number. mber. er. (a)
(b)
(c))
(d)
186
6.
Use the word ‘greater’ or ‘smaller’ to complete the sentences. than 102.
Re ga le du ca tio n
(a) 120 is (b) 604 is
than 601.
(c) 393 is
than 939..
than 770. 0.
(d) 713 is
7.
(e) 645 is
than n 644. 6
(f) 892 is
than 889 889.
Use > or < to fill in the blanks. anks. s. (a) 450
550
(b) 604
640
(c) 548
640 0
(d) 802
820
(e) 761
768
(f) 151
(g) 998
899
(h) 627
276
(i)
2877
279
(j)
333
44
0 (k) 710
829
(l)
509
951
515
1 87
Which is the greatest? Which number is the smallest?
Re ga le du ca tio n
8.
(a)
Hundreds
Tens
Ones
4
6
1
4
6
1
5
6
5
5
6
5
1
8
9
1
8
9
is the greatest.
(b)
is the smallest. sm
Hundreds
Tens
Ones On
7
7
9
7
7
9
9
7
9
9
7
9
7
8
1
7
8
1
is the e greatest greatest. greate
(c)
Hundreds reds
Tens T
Ones
6
0
3
6
0
3
3
0
7
3
0
7
3
7
9
3
7
9
is the greatest.
188
is the smallest.
is the smallest.
9.
Circle the greatest number.
Re ga le du ca tio n
(a)
(b)
(c)
(d)
10. Circle the smallest number. umber. ber. (a)
(b)
(c))
(d)
1 89
11.
Arrange the numbers in order from the greatest to the smallest.
Re ga le du ca tio n
(a)
234
greatest
(b)
671
greatest
432
125
smallest
716
677
smallest mallest est
12. Arrange the numbers ers in n order fro from the smallest to the greatest. (a)
767
smallest allestt
777
670
g greatest
(b)
480
smallest sm smalles
190
484
greatest
508
At Home Tick the set that shows the greater number.
Re ga le du ca tio n
1.
(a)
(b)
(c)
1 91
How many buttons are there? Fill in the blanks.
Re ga le du ca tio n
2.
(a)
100
100
100
100
100
10
The greater number is
10
10 10
.
(b)
100
100
110 0
110 0
10
110 0
10 0
10
1100 00
110 0
10
10
10 10
10
10
10
The number is Th smaller sm
192
.
10
10
Use the word ‘greater’ or ‘smaller’ to complete the sentences. (a) 80 is
than 100.
(b) 67 is
than 49.
Re ga le du ca tio n
3.
4.
(c) 163 is
than 139.
(d) 222 is
than n 202. 2.
(e) 775 is
than n 879. 8
(f) 946 is
than 941 941.
s. Use > or < to fill in the blanks. (a) 102
15
(b) 221
237
(c) 878
780 0
(d) 610
650
(e) 861
468 8
(f) 110
111
(g) 474
747
(h) 538
629
3 203
205
(j)
355
299
(k) 799 9
800
(l)
647
640
(i)
1 93
5.
Circle the greatest number.
Re ga le du ca tio n
(a)
(b)
(c)
(d)
6.
Circle the smallest number. umber. ber. (a)
(b)
c) (c)
(d) d)
1 94
7.
Arrange the numbers in order from the greatest to the smallest. (a)
378
Re ga le du ca tio n
376
greatest
309
smallest
(b)
580
greatest
8.
485
558
smallest allest
Arrange the numbers in n order der from tthe smallest to the greatest. (a)
176
smallest st
98
112
grea greatest
(b)
400
smallest
387
510
greatest
1 95
Solve It!
Re ga le du ca tio n
Cross out the numbers that do not match the clues. Find each child’s number. (a)
Sophie’s clues: • between 300 and 800 • less than 710 • more than 603
Sophie’s number is
(b)
Halle’s clues: • between 110 and 670 • more than 425 • less than 640
Halle’s number iss
(c)
.
Keira’ss cclues: lues: tween 4 20 an aand nd 8 40 • between 420 840 ore tthan h an 5 50 •m more 550 • lless ess tthan han 7790 90
Keira’s number is K eira’s numb eir
196
.
.
Wyatt’s clues: • between 525 and 905 • less than 750 • more than 700
Re ga le du ca tio
(d)
Wyatt’s number is
(e)
Ethan’s clues: • between 680 and 1,000 • more than 830 • less than 899
Ethan’s number is
(f)
.
.
Jordan’s clues: uees: • between 980 n 7700 00 aand nd 9 80 • more tthan 900 h an 9 00 • less than than 970 970
Jordan’s Jo ordan’s num number is
.
1 97
Odd and Even Numbers
Re ga le du ca tio n
Let’s Learn
Count the cubes in each set. 2
Notice that the cubes d evenly. can be paired
4
6
8
110 0
2, 4, 6, 8 and 10 are even numbers. mbers.
Count the cubes in each ea set. 1
In each set, there is 1 cube that cannot be paired evenly.
3
5
7
9
1, 3, 5, 7 and 9 are odd numbers. 1 98
Re ga le du ca tio n
Is 24 an odd or an even number?
All of the cubes cu can be paired evenly.
mber. So, 24 is an even number.
er? r? Is 19 an odd or an even number?
One cube cannot be paired.
So, 19 9 is an odd number. numb nu ber. b
1 99
eg al ed uc at
Numbers that end in 0, 2, 4, 6 or 8 are even numbers.
20 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
9 19
20
21
22
23
24
25
26
27 2
28
29
30
31
32
33
34
35
6 36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56 5
57
58
59
60
61
62
63
64 4
65 6
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92 2
93
94 9
95
96
97
98
99 100
eg al ed uc at
Numbers that end in 1, 3, 5, 7 or 9 are odd numbers.
1
2
3
4
5
6
7
8
9
10 0
11
12
13
14
15
16
17
8 18
9 19
20
21
22
23
24
25
26
27 7
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57 5
58
59
60
61
62
63
64 4
65 6
66
67
68
69
70
71
72
73
74 7
75
76
77
78
79
80
81
82
83
84
85 8
86
87
88
89
90
91
92 2
93
94
95
96
97
98
99 100
2 01
Let’s Practice Circle pairs of buttons. Circle odd or even.
Re ga le du ca tio n
1.
odd dd
odd
even
odd dd
odd
eve even ven n
even
even
odd
odd
20 2
even
odd
even
even
2.
Write ‘odd’ or ‘even’. (b)
(c)
Re ga le du ca tio n
(a)
(d))
(e) e)
(f)
2 03
Write the number and circle odd or even.
Re ga le du ca tio n
3.
odd
even eve
odd
even
odd
even
odd
even
odd
even
20 4
Re ga le du ca tio n odd d
even ev
odd
even
odd
even
odd
even
odd
even
2 05
Circle the odd numbers. 2
6
9
7
11 1
5
12
18
19
10
3
20
15
1
4
8
13
16
17
14
Re ga le du ca tio n
4.
5.
6.
Circle the even numbers. 4
8
11
3
15
1
7
12
16
20
13
2
5
9
10
6
14
17
18
19
Write 4 even numbers between m mb etwee 20 and 40. ,
7.
,
Write 4 odd d numbers between be 50 and 70. ,
206
,
,
,
Color even numbers to find a path down the cliff.
Re ga le du ca tio
8.
5
4
7
9
11
1
14
22
13
3
5
17
46
45 5
51 5
13
15
40
75
83
23
37
6 16
41
69
93
79
66
63
39
97
31
28
57
15
99
72
94
35
87
39
30
71
67
11
9
62
20
53
43
85
29 2
78
77
63
41 4
23
100
35
87
2 07
Color the balloons with even numbers red. Color the balloons with odd numbers blue.
tio n
9.
655
324
Re ga le du ca
103
561
789
2 902
208
350
du ca tio n
742
292
121
766
Re ga l
317
999
674
2 09
At Home Write the number and circle odd or even.
Re ga le du ca tio n
1.
odd
even
odd
even
odd
even
odd
even
odd
even
210
Color the odd numbers blue. Color the even numbers yellow.
Re ga le du ca tio n
2.
34 8 70 25
3.
61 43 3 90
Write 4 even 60 and 80. n numbers umbers between betw be ,
4.
7 2 16 6 52
,
,
Write ite 4 odd number numbe numbers between 80 and 100. ,
,
,
211
Solve It! Draw lines to deliver the letters to the correct mailboxes. boxes. es. The first one has been done for you.
Re ga le du ca tio n
1.
• odd number • greater than 400 • digit in tens place is larger than digit in ones place
• odd number • smaller than 360 • sum of all of the digits is 6
e • 2 digits are the sam • 1 digit is even o digits is 5 • sum of the first tw
233
212
434
785
Re ga le du ca tio n
mber • even nu than 400 • greater ss lace is 1 le p s n e t in • digit ce in ones pla it ig d n a h t
• smaller ler tthan han 4 400 00 ery d iiggit iiss oodd dd • every digit
• 2 digits are the sa me • even number
359
321
778
213
2.
Color the numbers the animals take to cross the pond. pond. Use a different color for each animal. ng on on 6 (a) The squirrel crosses the pond by stepping even numbers. y stepping stepping on o 6 (b) The hedgehog crosses the pond by odd numbers.
he hedgehog squirrel
Re ga le
24
7
10
12
15
11
8
16
19
21 4
1
2
13
14
20 17
(c) The rabbit crosses the pond by stepping on 5 even numbers. n (d) The monkey crosses the pond by stepping on 4 odd numbers.
rabbit
232
ga le d
m o on monkey
186
715
653
708 70
158
543
222
337
458
769
R
250 600
835
431 43
215
Skip Counting and Number Patterns ern
Re ga le du ca tio n
Let’s Learn
Let’s count in 2s. What number comes next?
2
4
6
8
10 0
12
In each step we add 2. 12 + 2 = 14. The next number is 14.
Try starting at 1 and skip counting in 2s.
Start at 16. Skip count in 2s to 30. 0 16, 18, 20, 22, 24, 26, 28, 30 Start at 31. Skip count in 2s to 45. 31, 33, 35, 37, 39, 41, 43, 45 5
The numbers in the show w e blue boxes bo b skip counting in 2s from 2 to 50. 5 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33 3
34
35
36
37
38
39
40
41
42 2
43
44
45
46
47
48
49
50
21 6
Re ga le du ca tio n
Let’s count in 5s. What number comes next?
5
10
15
20
25
In each step we add 5. 25 + 5 = 30. The next number is 30!
Start at 35. Skip count in 5s to o 70. 0. 0 35, 40, 45, 50, 55, 60, 65, 70
Each number ends in 5 or 0!
Start at 78. Skip count in 5s to 113. 08,, 113 78, 83, 88, 93, 98, 103, 108,
he green boxes b The numbers in the show skip counting in 5s from 5 to 50. 50 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32 3
33
34
35
36
37
38
39
40
41
42 2
43
44
45
46
47
48
49
50
217
Re ga le du ca tio n
Let’s count in 10s. What number comes next?
10
20
30
40
50
60 6
60 + 10 = 70. The next number is 70!
Start at 80. Skip count in 10s to 150. 150 0. 80, 90, 100, 110, 120, 130, 140, 0, 150 50
The numbers in t ones place the d don’t change!
Start at 237. Skip count in n 10ss to 307. 237, 247, 257, 267, 277, 287, 7, 297, 307 3 The numbers in the red boxes b s show sho h skip counting in 10s 0s from om 60 to t 100.
51
52
53 3
54
55 5
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
711
72
73
74
75
76
77
78
79
80
81
82 8
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
21 8
100
200
300
400
Re ga le du
500 + 100 = 600. The next number is 600!
ati on
Let’s count in 100s. What number comes next?
500
Start at 400. Skip count in 100s 0s to o 1000. 400, 500, 600, 700, 800, 900, 1,000 00s to 982. 982 98 Start at 382. Skip count in 100s 382, 482, 582, 682, 782, 882, 82, 2, 982
he yellow ellow boxes bo b The numbers in the show skip counting in 100s 0s from 600 60 to t 1,000.
The numbers in the ones and tens places don’t change!
510
520 530 30 540 550 560 570 580 590
600
610
620 0 630 640 650 660 670 680 690
700
710 0
720 730 740 750 760 72
790
800
810
820 830 840 850 860 870 880 890 8
900
910
920 930 940 950 960 970 980 990 1,000
770
780
219
Let’s Practice Skip count in 2s. Fill in the blanks.
Re ga le du ca tio n
1.
(a) 2, 4, 6, 8,
,
,
(b) 46, 48, 50, 52,
,
(c) 83, 85, 87, 89,
2.
,
,
,
,
,
(c) 46, 51, 56, 61,
,
,
,
,
,
Skip count in 10s. Fill in the he blanks. blanks blan
0, (a) 10, 20, 30, 40,
,
,
,
(b) 23, 33, 43, 3, 53, 3,
,
,
,
(c) 6, 16, 26, 36,
,
,
,
Skip p count ount in 100s. Fill Fi in the blanks. F 300 400, (a) 100, 200, 300, (b) 54, 54 154, 154 254, 25 354,
(c)) 170, 170 270, 27 370, 470,
22 0
,
,
,
(b) 75, 80, 85, 90,
4.
,
Skip count in 5s. Fill in the blanks. (a) 5, 10, 15, 20,
3.
,
,
,
,
,
,
,
,
,
,
5.
Fill in the blanks. (a)
12
17
277 2
22
Re ga le du ca tio n
7
The numbers show skip counting by
.
re The next 2 numbers in the pattern are
(b)
34
36
38 8
The numbers show skip p counting unting by
and
40 4 0
56
66 6
76
The numbers mbers ers show skip s counting by
and
20
1120
220
numbers show skip counting by The n numb
next 2 numbers in the pattern are Th ne The
.
96
86
.
numbe in the pattern are The nextt 2 numbers
(d)
42
.
The next 2 numbers in the he pattern are
(c)
.
and
.
420
320 .
and
.
221
222
227
232
The numbers show skip counting by
.
The next 2 numbers in the pattern are
(f)
75
175
275 5
The numbers show skip counting ounting ting by
and
375 375
356
36 366 66
376 37
The numbers bers show skip s counting by
801 801
803 8
805
The nu numbers show skip counting by numb Th nex The next 2 numbers in the pattern are
222
475
and
386
.
396
.
The next ext 2 numbers in tthe pattern are
(h)
.
.
ar The next 2 numbers in the pattern are
(g)
24 24 242
237
ed uc ati on
(e)
and
807
.
809
. and
.
Find the missing number. Fill in the blanks. (a) 44
46
48
50
ati on
6.
?
52
The numbers show skip counting by
56 5 6
.
rn iss The missing number in the pattern (b) ?
495
505
515 515 5
525 5 25 5
Re ga le du
475
b The numbers show skip counting by
58 5 8
.
535
545
.
ber in the pattern patt The missing number is
.
(c)
94
96 6
98
?
102
104
m ers show skip sk counting by The numb numbers
106
108
.
he missing numb num The number in the pattern is
.
(d)
?
270 27
370
470
570
670
Th nu The numbers show skip counting by The missing number in the pattern is
770
870
. . 223
(e) ?
195
200
205
210
215
2 20 220
Re ga le du ca tio n
185
The numbers show skip counting by
.
.
The missing number in the pattern is
(f)
302
304
306
308
0 310
?
The numbers show skip counting unting by
3 114 314
316
.
The missing number in the he pattern is
.
(g)
299
399
499 4 99
599 5 99 99
?
799
bers rs show skip s The numbers counting by
899
999
.
The missing sing numb number in the pattern is
.
(h)
1160 60 60
260 2 60
360
460
560
The nu numb numbers show skip counting by
missing number in the pattern is Th mi The
224
?
760
.
.
860
At Home Skip count. Fill in the blanks.
Re ga le du ca tio n
1.
(a) Continue skip counting in 2s.
53
104
p counting co ng in 100s. 1 (b) Continue skip
17
360
225
ed uc ati on
(c) Continue skip counting in 5s.
102
633
(d) Continue skip counting ounting ting in 10s. 10s 10
Re g
11
888
22 6
2.
Fill in the blanks.
304
ed uc ati on
(a) Skip count in 2s.
(b) Skip count in 10s.
130
(c) Skip count in 5s.
Re ga
707
(d) Skip count unt in 100s. 100s
95 9 5
227
le du ca tio n
Solve It! I’m thinking of a number, see if you can guess It!
Wyatt thinks of a number for you to guess. uess. Here are the clues he gave. Can you guess uess the number? • • • • •
22 8
Between 300 and 360. You can get there if you u start rt counting countin by 3s at 300. The sum of the digits is 12. 2. It is even. Two of the digits are the he e same number.
Repeated Addition and Arrays
Re ga le du ca tio n
Let’s Learn
How many cherries are there altogether?
In each group, there are 2 cherries. es. 2+2+2=6 3 groups of 2 = 6 There are 6 cherries altogether. ther..
How many bananas are e there ere altogether? altoget altoge
In each group, oup, there are 3 bananas. 3 + 3 + 3 + 3 = 12 4 groups oups of 3 = 12
How many bananas banan are there altogether? ba
229
Re ga le du ca tio n
The frogs are arranged in rows. There are 5 frogs in each row. There are 2 rows. How many frogs are there?
5 + 5 = 10 2 groups of 5 = 10 There are 10 frogs.
How many beetles are there? e?
4 + 4 + 4 + 4 + 4 = 20 5 groups oups of o 4 = 20 There are re 20 beetles.
2 30
Let’s Practice Match.
Re ga le du ca tio n
1.
2 groups of 4
4+4+4
5 groups of 3
4+4
3 groups of 4
3+3+3+3
2 groups of 5
5+5+5
4 groupss of of 2
3+3+3+3+3
3g groups roup ups o off 5
2+2+2+2
4 groups groups of 3
5+5
2 31
Fill in the blanks. a) (a)
3+3+3= There are
groups of 3.
Re ga le d
b) (b)
ca tio n
2.
2+2+2+2= There are
groupss of gr o 2.
(c)
5+5+5+5= There er are
23 2
groups of 5.
Re ga le du ca tio n
(d)
+
+
There are
+
=
groups of 4.
(e)
+
+
=
groups g ps of o
There are
.
(f)
+
There are Th
+
+
groups of
+
=
.
2 33
3.
Circle to make equal groups. Complete the equation.
Re ga le du ca tio n
(a) Circle 3 groups g of 4.
+
+
=
(b) Circle 5 groups of 2.
+
+
+
+
+
=
le 4 groups of 4. (c) Circle
+
2 34
+
=
Re ga le du ca tio n 4. Match.
2 35
Color the arrays. Write an addition equation.
Re ga le du ca tio n
5.
(a) Show 2 rows of 5.
5 + 5 = 10
(b) Show 3 rows of 3.
(c) Show 5 rows ws of 4.
23 6
Re ga le du ca tio n
(d) Show 5 rows of 3.
(e) Show 4 rows of 3.
(f) Show 5 rows of o 5.
2 37
At Home
+
n
Fill in the blanks. (a))
+
+
uc a
1.
groups of 4.
There are
Re ga le
(b)
+
=
+
re There are
=
grou of groups
.
(c)
+
There are Th
238
+
+
groups of
+
= .
Circle to make equal groups. Complete the equation. (a) Circle 2 groups of 5.
Re ga le du ca tio n
2.
+
=
(b) Circle 5 groups of 4.
+
+
+
+
=
+
+
=
le 5 groups of 3. (c) Circle
+
+
2 39
Color the grid. Write an addition equation.
Re ga le du c
(a) There are 3 eggs in each nest. There are 4 such nests. How many eggs are there re altogether?
on
3.
There are
nestss altogether. together.
(b) The children sit in rows ws of 4. There are 5 rows ws off children. childre How many children en are there the altogether?
There are a
24 0
children altogether.
Solve It!
ed uc ati on
Ethan put 9 counting bears in 2 rows on his desk. He said he had more bears than Blake did.
Blake had 3 rows of 6 bears each. He disagreed ed d with Ethan e rows. rows and said he had more because he had more
a
Who was correct? Why? Draw a picture and to d use equations equa equ show your thinking.
2 41
Looking Back Write the number in numerals and words.
Re ga le du ca tio n
1.
(a)
(b)
2.
Fill in the blanks. (a)
500 50 +
242
+9=
Re ga le du ca tio n
(b)
+
3.
+
=
Fill in the blanks. Write the number in numerals and words. ords. s. Hundreds
Tenss
hundreds dreds
+
4.
+
tens
Ones
ones
=
Write the number.
The digit 9 is in the ones place. The digit 8 is in the hundreds place. The digit di 2 is in the tens place.
2 43
Fill in the blanks. The digit
is in the hundreds place.
The digit
is in the ones place.
837 83 37
Re ga le du ca tio
5.
is in the tens place.
The digit
6.
Fill in the blanks. (a)
9 0 2
+
(b)
+
=
Use > or < to fill f in the blanks.
((a) 131
244
=
7 6 4
+
7.
+
30 301
(b) 673
678
(c) 793 7
727
(d) 902
920
8 (e) 528
509
(f) 897
907
8.
Arrange the numbers in order. (a)
907
890
Re ga le du ca tio n
900
greatest
smallest
(b)
655
666
smallest
9.
566
greatest est
Color the even numbers red.. e. Color the odd numberss blue. 11
310
243 990
45
54
101
128
499 590
823
642 64
751
888
778
186
6377
256
368 700
bla 10. Skip count.. Fill in the blanks. (a) 18, 20, 22, 24,
,
,
(b) 655, 5, 660, 665, 670, 6 670 7
,
(c) c) 860, 870, 8 0, 880, 890,
,
(d) 8, 108, 208, 208 308,
,
,
,
,
,
,
,
,
2 45
11.
Circle to make equal groups. Complete the equation.
+
ed uc ati on
(a) Circle 2 groups of 5.
=
Re g
(b) Circle 5 groups of 5.
+
246
+
+
+
=
Re ga le du ca tio n
12. Color the grid. Write an addition equation. (a) There are 4 beetles on a leaf. There are 3 such leaves. How many beetles are there in all?
+
+
There are
=
beetles etless in all.
ns in a box. (b) There are 5 buns oxes There are 4 such boxes. How many buns in all? bun are there h here
+
are Th There a
+
+
=
buns in all.
2 47
Addition to 1,000
Re ga le du ca to n
4
Anchor Task
Hundreds
248
Tens
du ca tio n +
Ones
+
Re ga l
+
+
+
2 49
Let’s Learn Find 400 + 200.
ed uc ati on
Adding 100s and 10s
4+2=6 2 = 600 400 + 200
Add the hundreds. 400 + 200 = 600
Find 225 + 300.
+
Add the hundreds. undreds 225 25 + 300 = 525 52
2 50
+
H
T
O
4 2 6
0 0 0
0 0 0
H
T
O
2 3 5
2 0 2
5 0 5
ion
Find 253 + 10. 5+1=6 50 + 10 = 60
Add the tens.
H
T
O
2
5 1 6
3 0 3
Re ga le du c
+
253 + 10 = 263
2
Find 534 + 40.
Add the tens. ns. H
T
O
5
3 4 7
4 0 4
+
5
524 534 544 554 564 574 584
534 + 40 0 = 574 57
2 51
Let’s Practice Add the hundreds.
Re ga le du ca tio n
1.
(a)
0 0
0 0
(b)
+
1 2
0 0
0 0
(d)
+
4 4
0 0
0 0
(f) (f
+
4 5
(c)
(e)
(g)
300 + 400 =
500 + 100 =
+
25 2
0 0
0 0
+
6 3
0 0
0 0
+
6 2
0 0
0 0
(h)
+
(i)
+
2 3
800 + 100 =
+
(j)
400 + 500 =
+
2.
Add the tens. (a)
5 2
0 0
(b)
1 6
0 0
(d)
5 4
2 0
(f) f)
4 5
0 0
2
2 3
7 0
9
3 5
9 0
7
Re ga le du ca tio n
1 +
(c)
5
+
(e)
6
+
(g)
322 + 40 =
+
+
+
(h)
+
(i)
649 49 + 40 =
+
864 + 30 =
+
(j)
727 + 60 =
+
253
3. Fill in the missing numbers.
Re ga le du ca tio n
(a)
600
+
300
+
100
=
(b)
=
600
(c)
+
400
=
800
+
200
=
900
(d)
25 4
Fill in the missing numbers. (a)
Re ga le du ca tio n
4.
=
652
+
10
+
=
556
628
+
=
698
40
+
=
774
10
(b)
(c)
(d)
255
Solve It!
Re ga le du ca tio n
Fill in the blanks. What is the rule? (a)
200
600
The rule is
(b)
412
700
25 6
5 0 500
.
938 938
462 46 62 2
The rule is
500 0 500
300
447
988
.
674
At Home Complete the equation.
Re ga le du ca tio n
1.
2.
(a) 500 + 300 =
(b) 300 + 300 00 =
(c) 700 + 100 =
(d) 400 + 200 =
(e) 300 + 400 =
(f) 100 00 0 + 800 =
Fill in the missing numbers. (a) 200 + (c)
= 400
+ 400 = 800
= 900
(e) 300 + (g)
3.
4.
+ 100 = 200
(b) b) 300 + (d)
= 800
+ 400 = 500
(f)) 300 3 + 30 (h)
= 600
+ 700 = 900
Complete the equation. tion..
(a) 534 + 10 =
(b) 10 + 879 =
(c) 453 + 40 =
(d) 80 + 616 =
(e) 60 + 328 28 =
(f) 80 + 911 =
Fill in the he missing numbers. numb nu (a) 10 + (c)
(e) 50 + g) (g)
= 225
+ 652 6 = 672 = 883
+ 113 = 183
(b) 356 +
(d)
(f) 465 + (h)
= 366
+ 50 = 570
= 495
+ 777 = 797
257
Addition Without Regrouping
Re ga le du ca tio n
Remember this!
Find 35 + 44.
Add the ones. A
d th Add the tens.
Tens Ones
+
35 + 44 = 79
Find 62 + 27. Add the ones. Tens Ones
+
6 2
2 7 9
Add the he tens. ens. Tens Ones
+
6 2 8
2 7 9
62 + 27 = 89 2 58
3 4
5 4 9
Tens Ones
+
3 4 7
5 4 9
Have a go!
Re ga le du ca tio n
Fill in the blanks. (a) 28 + 51 =
+
(c) 64 + 25 =
+
(e) 54 + 32 =
+
8= (g) 71 + 28
+
(b) 21 + 74 =
+
(d) 33 + 35 =
+
(f) 71 + 18 =
+
(h) 25 + 53 =
+
259
Let’s Learn
Re ga le du ca tio n
Farmer Joe picked 245 apples in the morning. Add thee on ones. He picked 23 apples in the afternoon. r? How many apples did Farmer Joe pick altogether? Let’s add 245 and 23. Hundreds
Tens
Ones
H
T
O
2
4 2
5 3 8
+
Add the tens.
H
T
O
2
4 2 6
5 3 8
+
Hundreds
Tens
Ones
245 + 23 = 268 Farmer 268 apples altogether. mer Joe Jo picked pic
260
Add the hundreds.
H
T
O
2
4 2 6
5 3 8
+
2
Re ga le du ca tio n
There are 255 pupils in Year 2. There are 314 pupils in Year 3. gether? her? How many pupils are there in Year 2 and Year 3 altogether?
dd the on Add ones.
Let’s add 255 and 314. Hundreds
Tens
Ones
+
H
T
O
2 3
5 1
5 4 9
Add the tens.
Hundreds
Tens
Ones
+
H
T
O
2 3
5 1 6
5 4 9
Add the hundreds.
255 55 + 314 3 = 569 There are 569 pupils in Year 2 and Year 3 altogether.
+
H
T
O
2 3 5
5 1 6
5 4 9 2 61
Let’s Practice Add.
Re ga le du ca tio n
1.
(a)
Hundreds
Tens
Ones
4
5
2 6
7
5 3
6 2
+
(b)
Hundreds
Tens ns
Ones
+
2 62
Hundreds
Tens
Ones
Re ga le du ca tio n
(c)
(d)
Hundreds
Tens n
+
5 1
2 5
4 4
+
6 3
4 2
5 3
Ones
2 63
2.
Add. (a)
2 6
(b)
3 1
2 5
(d)
1 5
1 4
(f)
+
4 1
4 0
2 4
(h)
+
2 7
6 3
0 9
(j)
+
1 4
7
5 3
6 2
(l)
5
2
9
1 8
4
3 5
5 2
+
5 2
7 2
9 0
+
2 6
3 2
1 6
+
6 3
5 2
4 4
+
7 1
5 4
6 3
Re ga le du ca tio n
1
+
(c)
2
+
(e)
(g)
(i)
(k) k)
+
26 4
+
+
Add. (a) 251 + 32 =
(b) 308 + 71 =
Re ga le du ca tio n
3.
2
+
5 3
1 2
(c) 163 + 114 = +
1 1
+
6 1
3 4
+
(i)
6 2
+
+
4 4
6 2
2 6
0 7
+
1 7
5 3
2 5
4 4
6 2
5 4
4 5
(h) 446 + 342 =
1 0
0 1
469 + 210 = 4 2
8 1
(f) 152 15 + 735 =
(g) 110 + 801 = 1 8
+
0 7
(d) 620 0 + 267 =
(e) 264 + 624 = 2 6
3
+
(j)
6 1
9 0
4 3
354 + 645 = +
3 6
2 65
Re ga
Use number disks to represent the additions. Write the numbers in the equation.
(a) 112 + 5 =
(b) 235 + 4 =
06 + 12 = (c) 306
(d) 237 + 22 =
(e) 471 + 18 =
(f) 645 + 43 =
(g)) 832 + 65 =
(h) 701 + 95 =
26 6
on
Hands On
Tens
Ones
ed uc ati on
Hundreds
Re ga
What connection do you notice e between betwee the Base Ten blocks and the disks?
How can n you use each of o them to help you solve addition problems? ms??
2 67
At Home Fill in the blanks. Add.
Re ga le du ca tio n
1.
(a)
252 + 6 =
(b)
+
(c)
122 + 156 =
+
(d) (d
+
(e)
530 + 306 =
471 + 426 =
+
268
703 7 + 104 = 70
+
(f) 624 + 342 =
+
(g))
421 + 53 =
+
(h)
154 + 742 =
+
Add. Show your working. (a) 654 + 14 =
(b) 972 + 6 =
+
+
(c) 125 + 152 =
(d) d) 313 + 362 =
+
+
Re ga le du ca tio n
2.
(e) 703 + 254 =
+
(g) 85 5 + 912 =
+
(f) 540 + 307 =
+
(h) 563 + 432 =
+
2 69
438 + 61 =
(j)
606 + 271 =
Re ga le du ca tio n
(i)
+
(k) 416 + 552 =
27 0
+
(l))
818 + 151 =
+
+
(m) 18 + 981 =
(n) 180 + 717 =
+
+
32 + 656 = (o) 332
(p) 541 + 436 =
+
+
Solve It! Ethan left his mathematics notebook outside. Rain has washed away some of the numbers. Write the missing numbers. (a)
1 1 0 + 4 4 5 5 5
(b)
2 4 1 7 + 4 6 6 8
(c)
6 1 4 + 3 3 4 9 4 8
(d) (d d)
2 1 0 + 4 7 8 6 8 8
(e)
2 5 2 + 2 4 6 4 9 8
(f) (f)
7 3 4 + 1 5 1 8 8 5
(g)
6 0 2 + 3 9 5 9 9 7
(h)
2 6 3 + 5 2 3 7 8 6
((i)i)
3 8 6 + 5 0 1 8 8 7
(j)
5 1 2 + 2 7 6 7 8 8 2 71
Addition With Regrouping
Re ga le du ca tio n
Remember This!
Add 36 and 28. Tens
Ones
Tens ens Ones
3 2
+
6 ones + 8 ones = 14 ones. Regroup the ones. 14 ones = 1 ten 4 ones Tens Ones
6 8
Add the on ones.
Tens Ones 1
+
3 2
6 8 4
Tens
Ones On
Add the tens.
Tens Ones
Add d the tens. t 1 tens + 3 tens + 2 tens = 6 tens 36 + 28 = 64
27 2
1
+
3 2
6 8
6
4
Have a Go!
Re ga le du ca tio n
Fill in the blanks. (a) 27 + 53 =
+
(c) 18 + 56 =
+
(e) 37 + 35 =
+
(g) 27 + 48 8=
+
(b) 56 + 25 =
+
(d) 66 + 29 =
+
(f) 64 + 17 =
+
(h) 28 + 59 =
+
2 73
Let’s Learn
Re ga le du ca tio n
Find 236 + 207. Hundreds
Tens
Ones
nes. Add the ones. on o 6 ones + 7 ones = 13 ones H
+
2 2
1
T
O
3 0
6 7 3
Regroup the ones.
13 ones = 1 ten 3 ones
Hundreds
Tens
Ones On
Add the tens. 1 ten + 3 tens + 0 tens = 4 tens H
+
2 2
1
T
O
3 0 4
6 7 3
Add the hundreds. 2 hundreds + 2 hundreds = 4 hundreds H
236 + 207 = 443
27 4
+
2 2 4
1
T
O
3 0 4
6 7 3
Find 262 + 155. Tens
Ones
Add the ones. 2 ones + 5 oness = 7 ones
Re ga le du ca tio n
Hundreds
+
H
T
O
2 1
6 5
2 5 7
Add d the tens. 6 tens ens + 5 te tens = 11 tens Regroup the tens. Regr
Hundreds
Tens
Ones
11 tens = 1 hundred 1 ten 1
+
H
T
O
2 1
6 5 1
2 5 7
Add the hundreds. 1 hundred + 2 hundreds + 1 hundred = 4 hundreds 1
+
H
T
O
2 1 4
6 5 1
2 5 7
262 + 155 = 4 417 2 75
Find 358 + 286. Tens
Ones
Add the ones. s. 8 ones + 6 oness = 14 ones
Re ga le du ca tio n
Hundreds
H
+
3 2
1
T
O
5 8
8 6 4
Regroup the t ones.
114 ones = 1 ten 4 ones
Hundreds
Tens
Ones O
Add the tens. 1 ten + 5 tens + 8 tens = 14 tens
+
27 6
H
T
O
13
15
2
8 4
8 6 4
Tens
Ones
Re ga le du ca tio n
Hundreds
Regroup p the tens.
14 tens = 1 h hundred 4 tens
Hundreds
Tens
Ones O
Add the hundreds. 1 hundred + 3 hundreds + 2 hundreds = 6 hundreds
+
H
T
O
13
15
2 6
8 4
8 6 4
358 + 286 = 64 644
2 77
Let’s Practice Add.
Re ga le du ca tio n
1.
(a)
Hundreds
Tens
Ones
4
4
8 6
3 4
8 4
2 5
+
(b)
Hundreds
Tens ns
Ones
+
2 78
Hundreds
Tens
Ones
Re ga le du ca tio n
(c)
(d)
Hundreds
Tens ns
+
5 2
8 5
8 9
+
6 3
6 2
5 5
Ones On
2 79
2.
Add. (a)
8 6
(b)
7 7
2 5
(d)
1 5
1 4
(f)
+
4 1
4 3
4 9
(h)
+
2 7
6 6
7 9
(j)
+
2 4
8 3
3 8
(l)
+
3 5
5
5
2
7 8
8
5 5
5 1
+
5 2
7 2
9 0
+
2 6
3 2
7 8
+
6 1
5 9
6 4
+
2 2
9 9
6 2
Re ga le du ca tio n
3
+
(c)
6
+
(e)
(g)
(i)
(k) k))
280
+
+
Add. (a) 451 + 52 =
(b) 658 + 81 =
Re ga le du ca tio n
3.
4
+
5 5
1 2
(c) 776 + 114 = +
7 1
+
7 1
6 4
+
(i)
7 6
+
+
9 8
5 3
7 6
0 7
+
5 2
5 6
5 8
4 6
8 2
6 7
7 6
(h) 348 + 362 =
1 7
5 7
869 + 94 = 8
8 1
(f) 555 55 + 268 =
(g) 115 + 877 = 1 8
+
5 8
(d) 570 70 + 367 =
(e) 179 + 168 = 1 1
6
+
(j)
6 9
9 4
3 3
267 + 576 = +
2 5
2 81
Hands On
Re ga le du ca tio n
Let’s add mentally! Hundreds
282
Tens
Ones
Set up this expression on your chart.
Re ga le du ca tio n
327 + 53
Let’s add by place value! Start by adding the tens disks. 327 + 50
Then add the ones disks: 377 + 3
Remember to make a ten!
Do these too, using the disks to compose a ten or a hundred when you can. (a) 253 + 27
(b) 253 + 127
(c) 149 + 28
(d) 149 1 + 128
(e) 186 + 36
(f) 186 + 136
(g) 337 + 15
(h) 337 + 115
(i)
(j)
246 + 163
(l)
186 + 197
246 + 63
(k) 517 17 + 97
2 83
At Home Fill in the blanks. Add.
Re ga le du ca tio n
1.
(a) 554 + 9 =
+
(c) 366 + 108 =
+
(e) 578 + 289 =
+
(g) g) 479 79 + 453 =
+
284
(b) 681 + 53 =
+
(d) (d 505 50 + 105 =
+
(f) 699 + 176 =
+
(h) 287 + 668 =
+
Add. Show your working. (a) 654 + 77 =
(b) 372 + 86 =
+
+
Re ga le du ca tio n
2.
(c) 725 + 108 =
(d) d) 383 + 332 33 =
+
+
(e) 745 + 189 =
(f) 549 + 375 =
+
+
5 + 836 = (g) 85
+
(h) 508 + 432 =
+
2 85
558 + 268 =
(j)
696 + 174 =
Re ga le du ca tio n
(i)
+
(k) 487 + 365 =
+
(m) 58 + 268 =
286
+
(l))
376 + 530 =
+
(n) 654 + 258 =
+
+
63 + 198 98 = (o) 763
(p) 676 + 264 =
+
+
Solve It! Ethan left his mathematics notebook outside again! Rain has washed away some of the numbers. Write the missing numbers. (a)
1 1 7 + 4 4 5 5 6 2
(b)
2 4 1 + 4 9 7 7 3 8
(c)
5 6 7 + 3 3 4 9 0 1
(d) (d)
6 5 7 + 1 7 8 8 3 5
(e)
6 3 8 + 2 4 8 8 8 6
(f) (f
1 7 9 + 1 5 9 3 3 8
(g)
5 6 6 + 3 9 7 9 6 3
(h)
2 6 6 + 5 9 9 8 6 5
( i) (i)
3 8 6 + 2 4 8 6 3 4
(j)
2 7 9 + 5 1 2 8 0 1 2 87
Looking Back Complete the equation.
Re ga le du ca tio n
1.
2.
(a) 100 + 200 =
(b) 100 + 500 0=
(c) 600 + 300 =
(d) 400 + 300 =
(e) 200 + 700 =
(f) 100 0 + 100 =
(g) 200 + 300 =
(h) 500 0 + 300 =
(i)
(j)
300 + 300 =
Complete the equations. (a) 140 + 10 =
140 + 100 =
(c) 407 + 30 =
407 + 300 =
(e) 889 + 10 =
889 + 100 00 =
3.
28 8
400 + 500 =
(b) 230 23 + 40 =
230 + 400 =
(d) ( 66 + 20 =
66 + 200 =
(f) 520 + 30 =
520 + 300 =
Complete lete the equations. equations equa
(a) 2311 + 10 =
(b) 10 + 549 =
(c) 432 + 50 =
(d) 60 + 311 =
(e) 60 + 328 32 =
(f) 90 + 909 =
(g) g) 47 + 40 =
(h) 50 + 717 =
4.
Add. (a)
6 1
8 1
(b)
2 1
1 7
(d)
+
4 2
3 1
3 3
+
6 2
3 4
4 4
0 4
8 1
Re ga le du ca tio n
4
+
(c)
2 7
+
(e) 553 + 234 = 5 2
+
(g) 456 + 232 =
(f) f) 308 + 441 4 =
5 3
3 4
+
(h) 751 + 206 =
+
(i)
1577 + 131 =
+
3 4
+
(j)
324 + 324 =
+
2 89
5.
Add. 1 1
7 7
(b)
+
2 1
4 7
6 8
(d)
+
1 7
+
4 4
6 5
5 2
+
2 3
8 9
5 7
9 8
8 7
Re ga le du ca tio n
(a)
(c)
(e) 459 + 142 = +
4 1
(g) 275 + 275 =
(f) f) 398 + 487 4 =
5 4
9 2
+
(h) 536 + 74 =
+
(i)
677 77 + 296 =
+
29 0
3 4
+
(j)
187 + 655 =
+
Add. Show your working. (a) 186 + 68 =
(b) 326 + 77 =
+
+
(c) 268 + 54 =
(d) d) 649 + 123 =
+
+
(e) 78 + 769 =
(f) 421 + 179 =
+
+
Re ga le du ca tio n
6.
8 + 685 = (g) 38
+
(h) 543 + 369 =
+
2 91
Re ga le du ca tio n © Blue Ring Media edia Pty Ltd td ACN 161 590 496 4 2013 - 2021.
This publication possible without the tireless effort of our production team. ation would not have been pos Special thanks to: Daniel Hui Guan, Kevin Mahoney, Winston Goh, Jesse Singer, el Cole, Matthew Cole, Wang W Joseph Taylor-Pritchard, Sophie Taylor-Pritchard, Tejal Thakur, eph Anderson, Halle T Taylor-Pr Natchanuch atchanuch Nakapat,Var Nakapat,Varasinun Mathanattapat, Kanungnit Pookwanmuang, Saijit Lueangsrisuk
Original Illustrations: Natchanuch Nakapat, GraphicsRF, Blue Ring Media and Interact Images Illustrat Nat Royalty-free images: Shutterstock, Adobe Stock imag S