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Master Arizona’s 15 most challenging mathematics skills with
SkillBridge. With lesson topics chosen based on actual state test
data, SkillBridge offers help in the skills that truly are the most
troublesome. As students move through each lesson, they are
equipped with guidance and connections that allow them to show
independent skill mastery by the end of the lesson. Arizona
references in each lesson offer a unique and familiar
point of entry into difficult skills.
Mathema
tics
Arizona’s 15 most challenging skills
in mathematics, grade 4
• Place Value
• Solving Problems
• Comparing and Ordering
Numbers
• Number Patterns
• Adding Whole Numbers
• Units of Length
• Subtracting Whole
Numbers
• Basic Multiplication Facts
• Dividing Whole Numbers
• Estimating
• Writing Expressions
• Area
• Naming Triangles
• Bar Graphs
• Vertex-Edge Graphs
London Bridge over Lake Havasu, Arizona
Catalog Number AZB2060W1
ISBN 0-7836-6514-8
P.O. Box 2180
Iowa City, Iowa 52244-2180
50599
STUDENT NAME
PHONE: 800-776-3454
FAX: 877-365-0111
www.BuckleDown.com
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Table of Contents
Place Value (S1.C1.PO5, S1.C1.PO6)............................................ 4
Comparing and Ordering Numbers (S1.C1.PO7, S1.C1.PO8)..... 8
Adding Whole Numbers (S1.C2.PO1).................................. 12
Subtracting Whole Numbers (S1.C2.PO2).......................... 16
Basic Multiplication Facts (S1.C2.PO7).............................. 20
Dividing Whole Numbers (S1.C2.PO6)................................ 24
Estimating (S1.C3.PO1)........................................................ 28
Solving Problems (S1.C2.PO3, S1.C2.PO4, S5.C1)........................ 32
Number Patterns (S3.C1.PO1, S3.C1.PO2, S3.C1.PO3).................... 36
Writing Expressions (S3.C3.PO2)........................................ 40
Units of Length (S4.C4.PO5, S4.C4.PO6)................................... 44
AZ4 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW.
Area (S4.C4.PO9).................................................................. 48
Naming Triangles (S4.C1.PO1, S4.C1.PO4, S4.C1.PO5)................... 52
Bar Graphs (S2.C1.PO3, S2.C1.PO4, S2.C1.PO7)............................. 56
Vertex-Edge Graphs (S2.C4.PO1)........................................ 60
Acknowledgments......................................................... 64
S1.C1.PO5
AZ
At the beginning of each lesson, you will see a box with the shape of
Arizona and a performance objective code in it. This code tells you
what is being covered in the lesson.
3
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S1.C1.PO5,
S1.C1.PO6
Place Value
AZ
Place value tells you about the value of each
digit in a number.
You can show a number in many ways.
1) S
tandard form is the way you usually write
a number.
Arizona became a state in
1912. The number 1,912 has
a 1 in the thousands place,
a 9 in the hundreds place, a
1 in the tens place, and a 2 in
the ones place.
3,513
2) E
xpanded form shows the value of each digit
in a number.
3,000 1 500 1 10 1 3
3) Word form shows the number with words.
three thousand five hundred thirteen
one ten
hundred
thousand
Example 1
How many tens and ones are in the
number 53? Use place-value blocks.
There are 5 tens and 3 ones in the number 53.
Build A Bridge 1
How many ones are the
same as 1 ten?
AZ4 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW.
You can also use blocks to show place value.
You can show that 10 ones make 1 ten, 10 tens make 1 hundred, 10 hundreds
make 1 thousand, and 10 thousands make 1 ten thousand.
4
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Place-value tables can help you see the value of each digit in a number.
example 2
Show 238 in expanded form.
BUILD A BRIDGE 2
Write the digits of 238 in a place-value table.
Write 194 in expanded
form.
Hundreds Tens Ones
2
3
8
In 238, there are 2 hundreds, 3 tens, and
8 ones. Write the value of each digit in the
number to show it in expanded form.
200 1 30 1 8
example 3
Write the number below in expanded form and
standard form.
twenty-one thousand four hundred seventy
Read from left to right. The first part is
twenty-one thousand. This means 21,000.
BUILD A BRIDGE 3
Write 12,693 in
expanded form and
word form.
AZ4 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW.
The next part is four hundred. This means 400.
The last part is seventy. This means 70.
To show the number in expanded form, write
the values together in an addition sentence.
expanded form: 20,000 1 1,000 1 400 1 70
To show the number in standard form, add all
the values together.
20,000 1 1,000 1 400 1 70 5 21,470
standard form: 21,470
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Guided Practice
1 How many tens and ones are in the number 85?
2 In the number 27,950, what digit is in the thousands place? 3 Draw a model that shows 234.
For Numbers 4 and 5, write the number shown by the place-value model.
4
5
6 Write 14,136 in expanded form.
7 Write 2,398 in word form.
expanded form: standard form: 9 Write the digits of 39,876 in the place-value table.
Ten
Thousands Thousands Hundreds Tens Ones
Write the number in expanded form. Write the number in word form. AZ4 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW.
8 Write forty-one thousand six hundred eighty-two.
6
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Practice
1 How many hundreds, tens, and ones are in 965?
2 In the number 85,241, what digit is in the ten thousands place?
3 Draw a model that shows 1,123.
4 Write 72,208 in expanded form.
5 Write 18,734 in word form.
6 Write sixty-eight thousand one hundred seventeen.
expanded form: standard form: AZ4 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW.
7 Show 10,000 1 5,000 1 400 1 80 1 8 with digits in the place-value table.
Ten
Thousands Thousands Hundreds Tens Ones
Write the number in standard form. Write the number in word form. 8 When Arizona became a state in 1912, Phoenix became the state capital.
Two years before this, the 1910 census showed Phoenix’s population
as 11,314. Write 11,314 in expanded form and word form.
expanded form: word form: 7
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