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This Teach It First Kit contains a Crosswalk Plus student lesson and teacher answer
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refresher on the topic—you decide!
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Mini-Lessons
Place Value
Teach
Practice/Apply
Explain how important it is to understand place value.
A digit’s value depends on its location in a number.
When we understand this idea, we can compare and
compute better.
Distribute Reproducible R1. Ask students to do
exercise 1. Then go over this exercise to make
sure everyone understands it.
Model
1. C. 900
Show students the numbers 325, 523, and 235. These
are different even though they all have the same digits:
2, 3, and 5.
Ask Students
Ask students to explain why the three numbers
are different. Make sure they understand that the
3 of 325 is 300, the 5 of 523 is 500, and the 2 of 235
is 200. Explain also the tens and ones places for all
three numbers.
Answers to Reproducible (R1)
2. 9,817 is greater than 8,917. The 9 in 9,817 stands
for 9,000, whereas the 8 in 8,917 stands for
8,000. So, 9,817 is greater than 9,000 whereas
8,917 is less than 9,000.
3. 965
4. C. 3 hundreds
5. B. 30
Estimation
Teach
Practice/Apply
Explain why rounding is an excellent tool for
estimation. Rounding to a number ending in 0
(10, 100, 1,000) allows for good estimates. It is easier
to work with numbers ending in 0.
Distribute Reproducible R2. Ask students to do
exercise 1. Then go over this exercise to make
sure everyone understands it.
Model
1. A. 20
Explain what it means to round numbers. Show how
to round the number 87 to the nearest 10. First, place
87 on a number line that goes from 80 to 90. Then,
show that 87 is closer to 90 than to 80. So, we say
that 87 rounded to the nearest 10 is 90.
80 81 82 83 84 85 86 87 88 89 90
Ask Students
Answers to Reproducible (R2)
2. 29 is closer to 30 than to 20, so 29 rounds to 30.
26 is also closer to 30 than to 20, so 26 rounds
to 30.
3. 40
4. 480
5. 400
6. If a number is halfway between two 100s (such as
700 and 800), round the number up to the greater
100. So, 750 rounded to the nearest 100 is 800.
Ask students to round 63 to the nearest 10.
Tell them to use a number line that goes from 60 to
70. Show that 63 is closer to 60 than 70, which means
that 63 rounded to the nearest 10 is 60.
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Name:
Date:
Place Value
A number’s value depends on the place value of the digits.
63 is greater than 36 because of where the 3 and 6 are.
1. What is the value of the 9 in 8,917?
A. 9
B. 90
C. 900
2. Is 9,817 greater or less than 8,917? Explain.
3. Write the number that has 5 ones, 6 tens, and 9 hundreds.
4. How many hundreds more is 2,306 than 2,006?
A. 7 hundreds
B. 5 hundreds
C. 3 hundreds
5. What is the value of the 3 in 784,235?
A. 3
B. 30
© Triumph Learning, LLC
C. 300
R1
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Answer Keys
Domain 1
9. 4,287
10. A: False, B: True, C: True, D: False Domain 1: Diagnostic Assessment for
Lessons 1–8
11. 8,403 12. A: 40,000 1 5,000 1 300 1 8; B: 4,000 1 500 1
30 1 8, C: 40,000 1 5,000 1 800 1 30,
D: 40,000 1 5,000 1 80 1 3
13. B, F
1. B 3.OA.8, 3.NBT.2
2. B 3.OA.8, 3.NBT.2
3. A 3.NBT.1
4. D 3.OA.8, 3.NBT.2
5. C 3.OA.8, 3.NBT.2
6. C 3.NBT.1
7. B 3.NBT.2
8. D 3.OA.8
9. 31 3.OA.9
10. A. 641
Lesson 2
Coached Example
7,736
7,175
7,742
All of the thousands digits are 7.
B. 397
7 hundreds . 1 hundred
3.OA.8, 3.NBT.2
So, the least number is 7,175.
Lesson 1
3 tens , 4 tens
Coached Example
There are 3 thousands.
There are 2 tens.
There are 6 hundreds.
There are 4 ones.
Thousands
3
,
So, the greatest number is 7,742.
The order from greatest to least is 7,742, 7,736, 7,175.
Hundreds
Tens
Ones
6
2
4
Lesson Practice
1. D
2. C
3. A
The number in base-ten numerals is 3,624.
4. B
Write the thousands part in words. three thousand
5. D
Write the hundreds part in words. six hundred
6. D
Write the tens part in words. twenty
7. D
Write the ones part in words. four
8. A
The number name is three thousand, six hundred
twenty-four.
9. A. 43,892 , 43,928
Lesson Practice
1. D
10. ,, , 2. B
3. A
4. A
5. C
6. A
7. D
B. 43,392; 43,892; 43,928
11. G
reater than 81,416: 81,614; 81,417; 81,461;
Less than 81,416: 81,409; 81,146 12. A: False, B: True, C: False, D: True
13. A: No, B: No, C: Yes, D: No, E: Yes,
F: Yes, G: No
14. .; .; 5; ,
15. A, D, F, H
8. A. 4,182
B. four thousand, one hundred eighty-two
C.4,000 1 100 1 80 1 2
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Domain 1 • Lesson 1
Common Core Standard:
3.NBT.1
Read and Write Whole Numbers
Getting the Idea
Whole numbers are the numbers 0, 1, 2, 3, 4, 5, and so on. Digits are used
to write numbers.
The number 61,243 has five digits. Each digit’s value is based on its position
in the number. This is called its place value. A place-value chart can be
used to show the value of each digit in a number.
Ten
Thousands
Thousands
6
1
,
Hundreds
Tens
Ones
2
4
3
So 61,243 has 6 ten thousands, 1 thousand, 2 hundreds, 4 tens, and 3 ones.
The place-value system is based on 10s.
10 ones 1 ten
10 tens
1 hundred
10 hundreds
1 thousand
Duplicating any part of this book is prohibited by law.
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Example 1
What number do the models show?
Strategy Skip count each group of blocks. Write the value of each
group of blocks from greatest to least place-value position.
Step 1
Skip count the thousands.
1,000; 2,000; 3,000
There are 3 thousands. Write a 3 in the thousands place and a
comma to separate the thousands and hundreds places.
3,
Step 2
Skip count the hundreds.
100, 200, 300, 400
There are 4 hundreds. Write a 4 in the hundreds place.
Duplicating any part of this book is prohibited by law.
3,4
Step 3
Skip count the tens.
10, 20, 30, 40, 50
There are 5 tens. Write a 5 in the tens place.
3,45
Step 4
Count the ones.
There are 2 ones. Write a 2 in the ones place.
3,452
Solution
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The models show the number 3,452.
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Example 2
A singer’s new song was downloaded 8,495 times in one day. What is the
value of the digit 9 in the number 8,495?
Strategy Use a place-value chart.
Step 1
Write the number in the chart.
Thousands
8
Step 2
,
Hundreds
4
Tens
9
Ones
5
Find the value of the digit 9.
The digit 9 is in the tens place.
The value of the digit is 9 tens, or 90.
Solution
The value of the digit 9 in 8,495 is 9 tens, or 90.
Numbers can be written in different forms.
Base-ten numerals: 28,495
Number name: twenty-eight thousand, four hundred ninety-five
Expanded form: 20,000 1 8,000 1 400 1 90 1 5
Example 3
Strategy Use place value.
Step 1
Read the value of the digits to the left of the comma.
81 thousands 5 81,000
Write 81,000 in words, then insert a comma.
eighty-one thousand,
Step 2
Read the value of the digits to the right of the comma.
1 hundred, 7 tens, 3 ones 5 173
Write 173 in words.
one hundred seventy-three
Duplicating any part of this book is prohibited by law.
What is the number name for 81,173?
16 • Domain 1: Number and Operations in Base Ten
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Lesson 1: Read and Write Whole Numbers
Step 3
Write the number name.
eighty-one thousand, one hundred seventy-three
Solution
The number name for 81,173 is eighty-one thousand,
one hundred seventy-three.
Example 4
A library has 19,827 books. How do you write 19,827 in expanded form?
Strategy Find the value of each digit. Then list the values together.
Step 1
Find the value of each digit.
1 ten thousand 5 10,000
9 thousands 5 9,000
8 hundreds 5 800
2 tens 5 20
7 ones 5 7
Step 2
Write the expanded form. Use a 1 between each value.
10,000 1 9,000 1 800 1 20 1 7
Solution
Written in expanded form, the number 19,827 is
10,000 1 9,000 1 800 1 20 1 7.
Duplicating any part of this book is prohibited by law.
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Coached Example
What number do the models show?
Write the number using base-ten numerals and its number name.
Write the number in base-ten numerals. Count the models.
There are _______ thousands.
There are _______ tens.
There are _______ hundreds.
There are _______ ones.
Write the number in a place-value chart.
Thousands
Hundreds
Tens
Ones
The number in base-ten numerals is ___________________.
Write the number name.
Write the thousands part in words. __________________________________
Write the hundreds part in words. __________________________________
Write the tens part in words. __________________________________
Write the ones part in words. __________________________________
The number name is ________________________________________________.
Duplicating any part of this book is prohibited by law.
,
18 • Domain 1: Number and Operations in Base Ten
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Lesson 1: Read and Write Whole Numbers
Lesson Practice
Choose the correct answer.
1. Which shows 1 thousand,
5 hundreds, 9 tens, 0 ones?
○
A.    159
○
B.    951
○
C. 1,509
○
D. 1,590
2. Which is the number name
for 2,215?
4. Which shows the number
forty-five thousand,
eight-hundred nineteen in
base-ten numerals?
○
A. 45,819
○
B. 45,189
○
C. 48,591
○
D. 91,854
5. Which is the expanded form of
62,803?
○
A. two thousand, one hundred
twenty-five
○
B. two thousand, two hundred
fifteen
○
A. 6,000 1 200 1 80 1 3
○
B. 60,000 1 2,000 1 80 1 3
C. five thousand, one hundred
twenty-two
○
C. 60,000 1 2,000 1 800 1 3
○
D. 60,000 1 2,000 1
800 1 30
○
○
D. twenty-two hundred,
fifty-five
Duplicating any part of this book is prohibited by law.
3. Which number has a 6 in the
tens place?
○
A. 1,768
○
B. 2,316
○
C. 4,625
○
D. 6,184
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6. What number is shown by
the models?
○
A. 2,147
○
C. 2,417
○
B. 2,174
○
D. 7,412
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7. There are 38,072 seats in a stadium. What is the number name for 38,072?
○
A. thirty-eight thousand, twenty-seven
○
B. thirty-eight thousand, seven hundred twenty
○
C. thirty-eight thousand, seven hundred two
○
D. thirty-eight thousand, seventy-two
8. Frank modeled the number below.
A. Write the number in base-ten numerals.
B. Write the number name.
Duplicating any part of this book is prohibited by law.
C. Write the number in expanded form.
20 • Domain 1: Number and Operations in Base Ten
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Lesson 1: Read and Write Whole Numbers
9. Use digits from the box to write the number that the models show.
8
,
7
4
2
10. Select True or False for each statement.
Duplicating any part of this book is prohibited by law.
A. The number name for 12,548 is twelve
thousand, four hundred fifty-eight.
○ True ○ False
B. The number name for 10,525 is ten
thousand, five hundred twenty-five.
○ True ○ False
C. The number name for 33,702 is thirty-three ○ True ○ False
thousand, seven hundred two.
D. The number name for 21,340 is twenty-one ○ True ○ False
thousand, three hundred four.
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11. Use digits from the box to write the number eight thousand, four hundred three.
0
,
3
4
8
12. Draw a line from each base-ten numeral to its expanded form.
A. 45,308
B. 4,538
C. 45,830
D. 45,083
•
•
•
•
• 40,000 1 5,000 1 800 1 30
• 40,000 1 5,000 1 80 1 3
• 40,000 1 5,000 1 300 1 8
• 4,000 1 500 1 30 1 8
○
A. 43,851
○
B. 50,000 1 1,000 1 800 1 40 1 3
○
C. 40,000 1 3,000 1 800 1 50 1 1
○
D. 51,043
○
E. 50,000 1 1,000 1 80 1 3
○
F. 51,843
Duplicating any part of this book is prohibited by law.
13. Kenesha’s video-game score was fifty-one thousand, eight hundred forty-three.
Which shows the same number? Mark all that apply.
22 • Domain 1: Number and Operations in Base Ten
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