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STUDENT NAME
Table of Contents
Comparing and Ordering Numbers (TEKS: 1.4.1.A).............. 4
Basic Multiplication Facts (TEKS: 2.4.6.A)............................. 8
Multiplying Whole Numbers (TEKS: 1.4.4.D). ....................... 12
Adding and Subtracting Decimals (TEKS: 1.4.3.B). ............ 16
Equivalent Fractions (TEKS: 1.4.2.A).................................... 20
Comparing and Ordering Fractions (TEKS: 1.4.2.C)........... 24
Solving Problems (TEKS: 6.4.14.B)........................................ 28
Problem-Solving Strategies (TEKS: 6.4.14.C)....................... 32
Patterns (TEKS: 2.4.7.A)......................................................... 36
Translations (TEKS: 3.4.9.B).................................................. 40
Reflections (TEKS: 3.4.9.B).................................................... 44
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Rotations (TEKS: 3.4.9.B)....................................................... 48
Measuring Length (TEKS: 4.4.11.A). ...................................... 52
Temperature (TEKS: 4.4.12.A)................................................. 56
Bar Graphs (TEKS: 5.4.13.B). ................................................. 60
Acknowledgments......................................................... 64
1.4.1.A
TX
At the beginning of each lesson, you will see a box with the shape of
Texas and a TAKS Objective/TEKS Student Expectation code in it.
This code tells you what is being covered in the lesson.
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1.4.1.A
TX
Comparing and
Ordering Numbers
Place value is the value of the position of a digit
in a number.
For example, 5 is in the hundred-thousands
place value in the number below. So, the digit
has a value of 500,000.
On
Hu
Te
ns
On
es
2,
5
3
6,
9
7
8
nd
Te
ns
1
es
Hu
nd
red
s
On
es
4
ns
Te
red
red
Hu
nd
Ones
s
Thousands
s
Millions
Corpus Christi is a large,
coastal city in southern
Texas. It had an estimated
population of 285,267 in
2006. You can compare
numbers to find which cities
in Texas have a larger
population than Corpus
Christi.
To compare numbers, start with the digits in the largest place value. Move to
the right and look for which digit is greater than (.), less than (,), or equal to
(5) the digit with the same place value in the other number.
Write ., ,, or 5 to compare 28,956 and
28,413.
Line up the numbers by the ones place.
28,956
28,413
Start with the largest place value. Both of the
numbers have a 2 in the ten thousands place.
Move to the right. Both numbers have an 8 in
the thousands place. Move to the right. The
digits in the hundreds place are different.
9.4
So, 28,956 . 28,413.
Build A Bridge 1
Write ., ,, or 5 to
compare 3,208 and
3,217.
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Example 1
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Example 2
Which sentence matches “four thousand
eighteen is less than four thousand eighty”?
A 4,018 , 4,008
B 4,008 , 4,018
C 4,080 . 4,080
Build A Bridge 2
Write the math sentence
for “twenty thousand six
hundred fifty is greater
than twelve thousand
six hundred fifteen.”
D 4,018 , 4,080
First, write each number and reread the word
sentence to make sure the digits are in the
correct place value. Then, look at the phrase
that tells you which symbol to use. “Less than”
means ,. Choice D has the correct numbers
and symbol.
To order a set of numbers, compare each number to the others in the set.
Example 3
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The table shows the number of seats in four
baseball parks. Order the numbers from least
to greatest.
Stadium
Capacity
Busch Stadium
46,861
Citizens Bank Park
43,500
HHH Metrodome
46,564
Progressive Field
43,863
Build A Bridge 3
Use the table in
Example 3. Write the
names of the baseball
parks in order from least
to greatest numbers.
All four numbers have a 4 in the ten
thousands place. Two numbers have a 6 in
the thousands place. Compare those two first,
and then compare the other two numbers.
Then, write all four numbers in order from
least to greatest.
43,500; 43,863; 46,564; 46,861
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Guided PractiCE
1 What place value is the 4 in the number 143,209?
2 When you compare two numbers, where do you begin?
3 If two numbers have the same digit in the largest place value, describe
what to do next.
4 Explain how to compare 72,816 and 72,825.
5 3,019
h 3,190
7 68,741
h 63,817
654,982
h 54,982
81,721,640
h 1,731,109
9 Which sentence matches “thirty thousand six hundred two is greater than
thirteen thousand seven hundred sixty”?
A 13,602 , 30,716
B 30,602 . 13,760
C 30,620 . 13,760
10 Write the math sentence for “five hundred twenty-seven thousand, three
hundred ninety is less than five hundred seventy-two thousand, three
hundred nineteen.”
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For Numbers 5 through 8, write , , or 5 to compare the numbers.
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Practice
For Numbers 1 through 4, write , , or 5 to compare the numbers.
1 25,387
h 26,140
3 913,042
h 913,042
2467,092
h 465,318
46,051,384
h 6,182,453
5 Which sentence matches “eighteen thousand seven is less than eighty
thousand seventy”?
A 18,007 , 80,007
B 80,070 . 18,007
C 18,007 , 80,070
6 Write the math sentence for “one million, three hundred fifty thousand, four
hundred eleven is greater than one million, two hundred twenty-nine
thousand, three hundred forty.”
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7 Four students guessed the number of jelly beans in a container. Order
their estimations from least to greatest.
Student
Isaiah
Zoey
Justin
Leah
Number
512,094
521,387
515,260
512,073
8 The table shows the 2006 U.S. Census Bureau population estimates for
several Texas cities. Write the cities from least to greatest population.
City
Corpus Christi
Garland
Lubbock
Plano
Population
285,267
217,963
212,169
255,009
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