are you ready?...you can order three numbers by deciding which number is the greatest or least. then...
TRANSCRIPT
For the student For the teacher
Teacher Edition
Math on the Spot Video Tutor Online Assessment
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Resources
e
Texas Essential Knowledge and Skills
Number and Operations—3.2.D Compare and order whole numbers up to 100,000 and represent comparisons using the symbols >, <, or =MATHEMATICAL PROCESSES3.1.A Apply mathematics to problems 3.1.E Create and use representations 3.1.G Display, explain, and justify mathematical ideas and arguments
Are You Ready?Access Prior KnowledgeUse the Are You Ready? 1.5 in the Assessment Guide to assess students’ understanding of the prerequisite skills for this lesson.
Vocabularygreater than >, less than <, equal to =
Go to Multimedia eGlossary at thinkcentral.com
1.5 Compare and Order Whole Numbers What are some ways you can compare and order whole numbers?
Essential Question?
Lesson OpenerMaking ConnectionsInvite students to talk about clouds. Pose the following questions.
What kinds of clouds have you seen? Can you describe them? Have you ever looked for shapes in a cloud? What shapes have you seen?
Using the Digital LessonThe problem in the lesson opener compares the heights of two clouds. When discussing the kinds of clouds students may have seen, describe what each of three common types of clouds means in terms of the weather. For example, puffy white clouds [cumulus] are fair weather clouds; thin, wispy clouds [cirrus] indicate a coming change in the weather; gray clouds that cover the sky [stratus] indicate light rain.
Learning Task• Ask students to explain what it means to compare two numbers.
• Have students explain how they can decide whether one number is greater than another. Is there a model they can use?
• Ask students to read each number in the problem aloud.
Literacy and Mathematics• Have students write a short story about two trips they’ve either taken or they would
like to take one day. Provide students with an atlas to find the approximate distance of each trip from where they live to the destination.
• Have students illustrate their stories showing how distances of the two trips compare.
What are some ways you can compare and order
whole numbers?
Lesson 1.5 29A
Unlock the ProblemUnlock the Problem
32,000 33,000 34,000 35,000 37,00036,000
32,102 34,373
32,000 33,000 34,000 35,000 37,00036,000
36,96032,102 34,373
Essential Question?
1.5Name
What are some ways you can compare and order whole numbers?
Compare and Order Whole Numbers
Number and Operations—3.2.D
MATHEMATICAL PROCESSES3.1.A, 3.1.E, 3.1.G
The Sunshine Skyway bridge is 34,373 feet
long. The W. K. Wilson bridge is 32,102 feet
long. Which bridge is shorter?
You can use symbols to compare numbers.
> < = greater than less than equal to
Use a number line. Compare 34,373 and 32,102.
32,102 is to the left of 34,373. 32,102 ● 34,373
So, the W. K. Wilson bridge is shorter.
To find the longest bridge in the table, look for the
bridge with the greatest length.
One Way Use a number line. Order 34,373; 32,102; and 36,960.
Which number is greatest? Explain how you know.
________
Which bridge is the longest?
________
Bridges in the United States
Bridge State Length (in feet)
Sunshine Skyway FL 34,373
W. K. Wilson AL 32,102
San Mateo-Hayward CA 36,960
RememberWhen you write numbers in order, you write them from greatest to least or from least to greatest.
<
36,960; it is to the right of the other numbers.
San Mateo-Hayward
Module 1 29
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English Language Learners Language SupportELL
4, 25, 46
ELPS 2.C.4, 2.I.3, 3.B.3Leveled Activities ELPS
Beginning: Activity 2 2.I.4, 3.C.4, 3.G.2
Intermediate: Activity 24 3.D.1, 3.F.2, 4.F.9
Advanced: Activity 12 2.I.4, 3.F.1, 3.F.2
Advanced High: Activity 6 2.I.5, 3.G.2, 4.G.2
Go to thinkcentral.com for the ELL Activity Guide containing these leveled activities.
Strategy: Restate• Restate key vocabulary to make sure students can work on the lesson.• Tell students that the greatest number in a set is the number that is
greater than all other numbers in the set. Say and write: 4, 25, 46. Ask: Is 46 greater than 4 and 25? yes Which is the greatest number? 46
• Tell students that the least number in a set is the number that is less than all other numbers in the set. Is 4 less than 25 and 46? yes Which is the least number? 4
• Have students repeat the steps to compare other sets of numbers aloud.
Verbal / LinguisticSmall Group
Unlock the Problem Discuss the problem. Tell students that they must compare the lengths of two bridges in the table in order to determine which is shorter.
In previous grades, students have learned to compare 3- and 4-digit numbers using base-ten blocks, number lines, and place value. Review with them the greater than (>), less than (<), and equal to (=) symbols.
• How is using a number line to compare numbers helpful? If two numbers are on a number line, the lesser number is on the left and the greater number is on the right.
One WayStudents use the number line and the information in the first problem to order the lengths of the bridges.
• How is using a number line to order numbers helpful? Explain. Possible explanation: The numbers on a number line are in order from least to greatest, with the least number on the left and the greatest number on the right. This makes seeing the order easy.
• If you are ordering three numbers from greatest to least or least to greatest, does the number in the middle change? Explain. No. Possible answer: the number in the middle is always greater than the least number and less than the greatest number.
29 Module 1
Share and ShowShare and Show
Mathematical ProcessesMath Talk
7. 32,090; 31,390; 32,009
__ ; __ ; __
8. 68,006; 47,891; 24,962
__ ; __ ; __
Another Way Use place value.
Order 34,373; 32,102; and 36,960 from greatest to least.
STEP 1
34,373
32,102
36,960
Compare the ten thousands. They are the same.
So, look at the thousands.
STEP 2
34,373
32,102
36,960
Compare the thousands.
● > ● > ●.
So, the order from greatest to least is __; __; __.
Compare the numbers. Write <, >, or = in the ●.
1. 897 ● 1,321
3. 13,751 ● 13,766
2. 1,604 ● 1,604
4. 64,007 ● 46,007
Write the numbers in order from greatest to least.
Write the numbers in order from least to greatest.
5. 685; 3,482; 1,907
_, _, _
6. 2,597; 4,698; 4,689; 3,851
_ ; _ ; _ ; _
When you compare numbers with the same
number of digits, why do you compare the digits
with greatest value first? Explain.
32,00931,390 32,090 24,962 47,891 68,006
36,960 34,373 32,102
<
6 4 2
< >
=
Possible explanation: if the digits of greatest value are in the same place but are not the same, then you can compare the numbers without having to look at the other place values.
3,482 1,907 685 4,698 4,689 3,851 2,597
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Go to Go to thinkcentral.com for additional enrichmentactivities in the Enrich Activity Guide.
Enrich
Materials: number cube, Place-Value Charts (see Teacher Resources)
• Have each student toss a number cube five times and use the numbers on the cubes to make a 5-digit number. Have them record the number in a place-value chart.
• Have students repeat this process until they have recorded six different 5-digit numbers in their place-value charts.
• Have students use the place-value charts to help them write the six numbers in order from least to greatest.
• Encourage students to share the methods they used to order the numbers.
VisualIndividual / Partners
Math Talk Use Math Talk to focus on students’ understanding of place value. Point out that any 4-digit whole number will always be greater than any 3-digit whole number, and any number with fewer than three digits.
Mathematical Processes
Another Way • Why do you need to compare the digits in the ten
thousands place first? The ten thousands place is a greater place value position than the thousands, hundreds, tens, or ones.
• In what order will you compare the remaining digits? thousands, hundreds, tens, then ones
• How would the order change if you were ordering the lengths of the bridges from shortest to longest? Possible answer: they would be written in the opposite order.
Share and ShowUse the checked exercises for Quick Check. Students should show their answers for the Quick Check on the MathBoard.
1
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a student misses the checked exercises
Quick Check
IF
THENDifferentiate Instruction withRtI Tier 1 Lesson 5
COMMON ERRORSError Students compare numbers by digit rather than place value.
Example Students may say that 897 is greater than 1,321 because 8 is greater than 1.
Springboard to Learning Have students write 1,321 above 897 so that the digits in each place align. Remind students that when they compare numbers they must compare digits in the same value place.
CE
Lesson 1.5 30
Problem SolvingProblem Solving
40,00038,00036,00034,00032,000
35,81733,254 39,65038,297
Name
Use the number line for 13–15.
Algebra Write <, >, or = in the ●.
Write two numbers so that the numbers are in order.
9. 1,385 ● 1,300 + 30 + 105 10. 20,104 ● 20,000 + 4 + 100
11. _ ; 6,010; _ ; 5,060 12. 13,005 ; __; 16,475 ; __
13. Multi-Step There were 35,817 visitors at an aquarium
in March; 39,650 in April; 38,297 in May; and 33,254 in
June. In which month did the least number of visitors
go to the aquarium? Use the number line to solve
the problem.
14. What if there were 39,475 visitors in July?
Compare the number of visitors in July to the number of
visitors in April.
15. Pose a Problem Look back at Problem 14. Write
a similar problem by comparing two different
numbers of visitors.
< =
7,054 5,871 13,821 18,397
Possible answers given.
June
39,475 < 39,650
Possible answer: Compare the number of visitors in March to
the number of visitors in May. 35,817 < 38,297
Module 1 • Lesson 5 31
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Enrich© Houghton Mifflin Harcourt Publishing Company
Name Enrich 5
E5
Comparing Roman Numerals
Roman numerals use letters to stand for numbers.
Add the value of each letter to fi nd the values of the Roman
numerals below.
XVI 5 10 1 5 1 1 5 16
Compare the Roman numerals. Write ,, ., or 5 in the .
1.
I II
2.
X V
3.
XIII XII
4.
C M
5.
C X
6.
CC XX
7.
M CCC
8.
I V
9.
XV C
10.
VII X
11.
CV CI
12.
VI MV
13. Explain how many Cs are equal to one M.
14. Stretch Your Thinking The symbol # means is less than or equal to. The symbol $ means is greater than or equal to. Use the same Roman numeral to make each of the following comparisons true.
$ C # C
M 5 1,000 C 5 100 X 5 10 V 5 5 I 5 1
10 Cs; there are 10 hundreds in 1 thousand, so 10 Cs 5 1 M.
C C
.
.
.
.
, ,
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LESSON 5 3.2.D
You compare two numbers to decide whether one number is greater than (> ), is less than (< ), or is equal to (= ) the other number.
Use a place-value chart to compare 54,237 and 54,537.
Step 1 The ten thousands digits are the same. The thousands digits are the same.
Step 2 Compare hundreds.
2 hundreds are less than 5 hundreds.
So, 54,237 < 54,537.
You can order three numbers by deciding which number is the greatest or least. Then compare the remaining two numbers.
Order 237, 451, and 405 from least to greatest. 237, 405, 451
Compare the numbers. Write < , > , or = in the .
1. 378 387 2. 3,275 3,257
3. 2,078 989 4. 64,367 67,251
Write the numbers in order from greatest to least.
5. 421, 197, 724
, ,
6. 1,946; 5,632; 8,105
, ,
7. 246, 190, 249
, ,
8. 94,531; 94,852; 94,850
, ,
Compare and Order Whole NumbersOBJECTIVE Use place value to compare multi-digit numbers.
Ten Thousands
Thousands Hundreds Tens Ones
54,237 5 4, 2 3 7
54,537 5 4, 5 3 7
54, 2 37
54, 5 372 < 5
>
>
<
<
8,105
94,852249
724 5,632
94,850246
421 1,946
94,531190
197
Number and Operations 9
Enrich 5RtI Tier 1 Lesson 5
Problem SolvingProblems
Exercises 9–10 and 11–12 require students to evaluate given information. For Exercises 9–10, they must compare pairs of numbers when one of the numbers is written in expanded form. For Exercises 11–12, students apply what they know about ordering numbers to write numbers greater than or less than the given numbers.
Have students use the information and number line from Problem 13 to complete Problems 14 and 15.
Math on the Spot Video Tutor
Through the Math on the Spot Video Tutor, students will be guided through an interactive solving of this type of H.O.T. problem. Use this video to also help students solve the H.O.T. problem in the Interactive Student Edition. With these videos and the H.O.T. problems, students will build skills needed in the TEXAS assessment.
MV
Math on the Spot videos are in theInteractive Student Edition and atthinkcentral.com.
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31 Module 1
Mathematical Processes
Daily Assessment TaskDaily Assessment Task
TEXAS Test Prep 19. The dolphin exhibit had 5,346 visitors in the winter;
4,437 in the spring; 6,107 in the summer; and 5,275 in
the fall. In which season did the most visitors go to
the exhibit?
A winter C summer
B spring D fall
Fill in the bubble for the correct answer choice.
16. Apply During a football game, fans bought 8,542 bags
of popcorn. They bought 5,398 pieces of fruit. They also
bought 7,208 sandwiches. Which shows the snacks in
order from the least number to the greatest number?
A fruit, sandwiches, popcorn
B sandwiches, fruit, popcorn
C fruit, popcorn, sandwiches
D popcorn, sandwiches, fruit
17. Evaluate Nina needs to know which is greater, 41,381 or
35,927. Which place should she look at first to compare
the numbers?
A the hundreds place C the thousands place
B the tens place D the ten thousands place
18. Multi-Step Luke’s book has 182 pages. Elena’s book has
208 pages. Corey’s book has more pages than Luke’s and
fewer pages than Elena’s. Which could be the number of
pages in Corey’s book?
A 179 C 194
B 224 D 210
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Games
THENIF
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NO
Daily Assessment Task 1
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Differentiated Centers Kit
• Soar to Success MathWarm-Up 7.32; 7.33
ActivitiesRoll to 100!Students complete orange Activity Card 1 by finding the sum of three numbers.
LiteratureConcert Halls of the WorldStudents read about and compare the number of seats in the great music centers of the world.
GamesBuilding NumbersStudents practice comparing numbers using a place-value chart.
TEXAS Test Prep CoachTest Prep Coach helps teachers to identify common errors that students can make.
In the Test Prep exercises, if students selected:
A, D They chose a season that was between the least and greatest number of visitors.
B They chose the season with the least number of visitors.
Essential Question? WriteMathWriteMath
What are some ways you can compare and order whole numbers? Use a number line, or use place value.
• Enrich 5
• Homework and Practice Lesson 1.5
Can students compare and order whole numbers up to 100,000 in different ways?
Lesson 1.5 32
TEXAS Test PrepLesson CheckLesson Check
673518 7295,078 6,147?
13. Martine puts number cards in the
order shown below.
Which number can Martine put on
the empty card?
A 659
B 821
C 722
D 584
14. Daryl writes these numbers on a
number line.
Which number can Daryl write to fill
in the blank?
A 5,780
B 5,049
C 6,417
D 6,704
15. At the state fair, visitors bought 3,671
vanilla yogurts, 4,032 blueberry
yogurts, and 2,978 strawberry
yogurts. Which show the flavors in
order from least to greatest?
A vanilla, blueberry, strawberry
B strawberry, vanilla, blueberry
C vanilla, strawberry, blueberry
D blueberry, strawberry, vanilla
16. An airplane travels 45,890 miles. The
next week it travels 37,604 miles.
The following week it travels 40,098
miles. Which shows the miles in
order from greatest to least?
A 40,098; 37,604; 45,890
B 45,890; 37,604; 40,098
C 37,604; 40,098; 45,890
D 45,890; 40,098; 37,604
17. Multi-Step Marco has 342 photos
in an album. Rosa has 297 photos.
Hideki has more photos than both
Marco and Rosa. Which shows how
many photos Hideki could have?
A 189 C 287
B 382 D 314
18. Multi-Step A company ships
35,809 pears and 21,790 plums.
It also ships more apples than
plums, but fewer apples than pears.
Which shows how many apples
could have been shipped?
A 35,908 C 34,118
B 21,097 D 40,055
Fill in the bubble completely to show your answer.
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34
Problem SolvingProblem Solving
Homeworkand Practice
Name
Compare the numbers. Write <, >, or = in the ●.
1. 467 ● 381 2. 4,167 ● 4,590 3. 718 ● 7,180
4. 1,970 ● 1,970 5. 2,398 ● 736 6. 5,067 ● 567
Write <, >, or = in the ●.
7. 592 ● 500 + 80 + 7 8. 3,724 ● 3,000 + 800 + 30 + 9
9. There are 29,148 people at the
baseball game on Saturday. On
Sunday, 25,974 people are at the
game. Compare the number of
people at each game.
10. A great white shark weighs
5,038 pounds. A blue fin tuna
weighs 1,759 pounds. Compare
the weight of the fish.
11. Four students play a video game.
Luke scores 5,789 points, Janell scores
3,980 points, Rashid scores 5,067
points, and Dara scores 4,690 points.
Who scores the most points?
12. A car company makes 5,689 red cars,
3,607 blue cars, 5,968 black cars, and
3,706 white cars. Which color is the
least number of cars?
Number and Operations—3.2.D MATHEMATICAL PROCESSES 3.1.A, 3.1.E, 3.1.G
1.5 Compare and Order Numbers
Luke
1,759 < 5,03829,148 > 25,974
blue
<
>
=
>
> >
< <
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Module 1 • Lesson 5 33
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Homework and PracticeUse the Homework and Practice pages to provide students with more practice on the concepts and skills of this lesson.
33-34 Module 1
Module 1 Assessm
entName
Module 1 Assessment
Vocabulary
expanded form
standard form
word form
VocabularyVocabulary
Choose the best term from the box to complete the sentence.
1. The _____ of a number
is a way to write a number by showing the value of
each digit. (p. 11)
2. The _____ of a number
is a way to write a number by using words. (p. 11)
Concepts and SkillsConcepts and Skills
Complete the chart to show three forms of the number. q TEKS 3.2.A
Round to the nearest hundred. q TEKS 3.2.C
Round to the nearest thousand. q TEKS 3.2.C
Compare the numbers. Write <, >, or = in the ●. q TEKS 3.2.D
5. 409 __ 6. 876 __ 7. 399 __
8. 4,397 __ 9. 8,222 __ 10. 7,656 __
11. 891 ● 5,902 12. 6,812 ● 6,812 13. 18,001 ● 17,897
3.
4.
Standard Form Expanded Form Word Form
32,706 _ + 2,000 + __ thousand, __ hundred six
800,034 800,000 + 30 + 4 __ thousand, __
expanded form
word form
400
4,000 8,000 8,000
900 400
thirty-two seven
eight hundred
700 + 630,000
thirty-four
>=<
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Module 1 35
Based on the results of the Module 1 Assessment, use the following resources to strengthen individual or whole class instruction.
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Data-Driven Decision Making
*TEKS—Texas Essential Knowledge and Skills; RtI—Response to Intervention
Item Lesson TEKS* Common Error Intervene With RtI* Tier 1 Lessons
Soar to Success Math
3, 4 1.2 3.2.A May confuse the different forms of writing numbers 2 2.25
5–10 1.4 3.2.C May not identify correct multiples of 100 or 1,000 4 35.17
11–13 1.5 3.2.D May incorrectly place number on a number line 5 7.32; 7.33
Formative AssessmentUse the Module Assessment to assess students’ learning and progress in the module. The formative assessment provides the opportunity to adjust teaching methods for individual or whole class instruction.
Module 1 Assessment 35
Mod
ule
1 As
sess
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tTEXAS Test Prep
80 907060
Fill in the bubble for the correct answer choice. You may use models to solve.
14. Anorderfor875,380toysisbeingshippedtoawarehouseintheUnitedStates.Howmanytenthousandsarein875,380? q TEKS 3.2.B
A 8 C 87
B 875 D 8,753
15. Therewere4,619studentsenrolledinamilitaryserviceacademyinColorado.Whichisthenumberofstudentswritteninexpandedform? q TEKS 3.2.A
A 4,000+600+10+9
B 9,000+100+60+4
C 400+600+10+9
D 4,000+600+9
16. OnekillerwhaleattheSeaCenterweighed9,485pounds.Whichisawaytomodel9,485withbase-tenblocks? q TEKS 3.2.A
A 9thousands48hundreds5ones
B 94thousands85ones
C 9,485tens
D 9thousands48tens5ones
17. Alexisrounded73tothenearestten.Whatis73roundedtothenearestten? q TEKS 3.2.C
Recordyouranswerandfillinthebubblesonthegrid.Besuretousethecorrectplacevalue.
.0 0 0
1 1 1
2 2 2
3 3 3
4 4 4
5 5 5
6 6 6
7 7 7
8 8 8
9 9 9
07
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DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A
3_MTXESE061873_M01A.indd 36 1/28/15 3:11 PM
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Data-Driven Decision Making
*TEKS—Texas Essential Knowledge and Skills; RtI—Response to Intervention
Depth of Knowledge
DOK Level Items
1 3–4, 5–7, 8–10, 11–13, 17
2 14, 15–16
Item Lesson TEKS* Common Error Intervene With RtI* Tier 1 Lessons
Soar to Success Math
14 1.3 3.2.B May incorrectly rename ten thousands 3 2.26
15 1.2 3.2.A May confuse the different forms of writing numbers 2 2.25
16 1.1 3.2.A May incorrectly decompose numbers 1 2.24
17 1.4 3.2.C May not identify correct multiples of 10 4 35.17
36 Module 1 Assessment
DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A