Transcript Document 7277621

Chapter 1
Place Value and Number Sense
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1
Place Value and Number Sense
Lesson 1-1
Place Value Through Hundred
Thousands
Lesson 1-2
Place Value Through Millions
Lesson 1-3
Problem-Solving Strategy: The
Four-Step Plan
Lesson 1-4
Compare Whole Numbers
Lesson 1-5
Order Whole Numbers
Lesson 1-6
Round Whole Numbers
Lesson 1-7
Problem-Solving Investigation:
Choose a Strategy
1-1
Place Value Through Hundred Thousands
Five-Minute Check
Main Idea and Vocabulary
California Standards
Example 1: Identify Value of Digits
Example 2: Read and Write Numbers
Example 3: Read and Write Numbers
1-1
Place Value Through Hundred Thousands
• I will read and write whole numbers to hundred
thousands.
• digit
• standard form
• place value
• word form
• period
• expanded form
1-1
Place Value Through Hundred Thousands
Standard 4NS1.1 Read and write whole
numbers in the millions.
1-1
Place Value Through Hundred Thousands
Write the value of the underlined digit in 26,513.
Step 1 Write the number in a place-value chart.
2
6
5
1
3
1-1
Place Value Through Hundred Thousands
Step 2 Identify the column in which the 6 is located.
Circle it.
2
6
5
1
3
1-1
Place Value Through Hundred Thousands
Step 3 Replace all the digits that are to the right of
the 6 with zeros.
2
6
0
0
0
Answer: The underlined digit has a value of 6,000.
This is because the 6 is in the thousands
place.
1-1
Place Value Through Hundred Thousands
Write the value of the underlined digit in 14,317.
A. 30,000
B. 3,000
C. 300
D. 30
1-1
Place Value Through Hundred Thousands
Write 86,012 in word form and expanded form.
8
6
0
1
2
Answer:
Word form:
eighty-six thousand, twelve
Expanded form: 80,000 + 6,000 + 10 + 2
1-1
Place Value Through Hundred Thousands
Write 413,610 in word form and expanded form.
A.
four hundred thirteen thousand, 6 hundred ten;
40,000 + 10,000 + 3,000 + 610
B.
four hundred thirteen thousand, 6 hundred ten;
400,000 + 10,000 + 3,000 + 600 + 10
C.
four hundred thirteen, 6 hundred ten;
400,000 + 10,000 + 3,000 + 600 + 10
D.
four hundred thirteen, 6 hundred ten;
40,000 + 10,000 + 3,000 + 610
1-1
Place Value Through Hundred Thousands
Write five thousand, four hundred six in standard
form and expanded form.
Answer:
Standard form:
5,406
Expanded form: 5,000 + 6,000 + 10 + 2
1-1
Place Value Through Hundred Thousands
Write four thousand, eight hundred twenty-one in
standard form and expanded form.
A.
482,001; 400,000 + 80,000 + 2,000 + 1
B.
40,821; 40,000 + 800 + 20 + 1
C.
4,801; 4,000 + 800 + 1
D.
4,821; 4,000 + 800 + 20 + 1
1-2
Place Value Through Millions
Five-Minute Check (over Lesson 1-1)
Main Idea
California Standards
Example 1: Read and Write Numbers
Example 2: Real-World Example
How Big is One Million?
1-2
Place Value Through Millions
• I will read and write whole numbers through the
millions.
1-2
Place Value Through Millions
Standard 4NS1.1 Read and write whole
numbers in the millions.
1-2
Place Value Through Millions
The students at Harvey Elementary School have
saved 3,100,750 pennies. Write 3,100,750 in
standard form, word form, and expanded form.
Answer:
Standard form:
3,100,750
Word form:
three million, one hundred
thousand, seven hundred fifty
Expanded form: 3,000,000 + 100,000 + 700 + 50
1-2
Place Value Through Millions
A person’s heart that beats 65 beats per minute
on average, beats 34,187,400 per year. Write
34,187,400 in standard form, word form, and
expanded form.
A. Standard form:
Word form:
34,187,400
thirty-four million, one
hundred eighty-seven
thousand, four hundred
Expanded form: 30,000,000 + 4,000,000 +
100,000 + 80,000 + 7,000
+ 400
1-2
Place Value Through Millions
B. Standard form:
Word form:
34,187,400
thirty-four hundred million,
one hundred seven thousand
and four
Expanded form: 300,000,000 + 40,000,000 +
100,000 + 80,000 + 7,000
+ 400
1-2
Place Value Through Millions
C. Standard form:
Word form:
34,187,400
thirty-four million, one
hundred eighty-seven
thousand, four hundred
Expanded form: 30,000,000 + 4,000,000 +
100,000 + 80,000 + 4
1-2
Place Value Through Millions
D. Standard form:
Word form:
34,187,400
thirty-four million, one
hundred eighty-seven
thousand, four hundred
Expanded form: 30,000,000 + 40,000,000 +
100,000 + 800,000 +
700,000 + 400
1-2
Place Value Through Millions
Answer:
A. Standard form:
Word form:
34,187,400
thirty-four million, one
hundred eighty-seven
thousand, four hundred
Expanded form: 30,000,000 + 4,000,000 +
100,000 + 80,000 + 7,000
+ 400
1-2
Place Value Through Millions
The total area of China is three million, seven
hundred five thousand, four hundred seven square
miles. Write this number in standard form.
This number is written in the place-value chart below.
3
7
0
Answer:
Standard form: 3,705,407
5
4
0
7
1-2
Place Value Through Millions
The population of the state of New York is about
nineteen million, two hundred fifty-four thousand,
six hundred thirty. Write this number in standard
form.
A.
190,254,630
B.
19,254,630
C.
1,924,630
D.
1,254,630
1-3
Problem-Solving Strategy: The Four-Step Plan
Five-Minute Check (over Lesson 1-2)
Main Idea
California Standards
Example 1: Problem-Solving Strategy
1-3
Problem-Solving Strategy: The Four-Step Plan
• I will solve problems using a four-step plan.
1-3
Problem-Solving Strategy: The Four-Step Plan
Standard 4MR1.1 Analyze problems by
identifying relationships, distinguishing relevant
from irrelevant information, sequencing and
prioritizing information, and observing patterns.
1-3
Problem-Solving Strategy: The Four-Step Plan
Standard 4NS3.0 Students solve problems
involving addition, subtraction, multiplication, and
division of whole numbers and understand the
relationships among the operations.
1-3
Problem-Solving Strategy: The Four-Step Plan
There are six girls in Dina’s scout troop. They
are planning a trip to the local amusement park.
Admission for children is $12. What is the total
cost of admission for everyone to go?
1-3
Problem-Solving Strategy: The Four-Step Plan
Understand
What facts do you know?
• There are six scouts who want to go.
• The price of admission is $12 for each girl.
What do you need to find?
• The total cost of admission for all the girls.
1-3
Problem-Solving Strategy: The Four-Step Plan
Plan
To find the total cost, you can use addition. There
are 6 girls, and it will cost $12 each. So, add 12
six times.
1-3
Problem-Solving Strategy: The Four-Step Plan
Solve
$12 + $12 + $12 + $12 + $12 + $12 = $72
or
6 × $12 = $72
Answer: So, the troop needs $72 to go to the
amusement park.
1-3
Problem-Solving Strategy: The Four-Step Plan
Check
Look back at the problem. One way to check the
answer is to use a drawing.
There are 6 × 12 or 72 squares, so the answer is correct.
1-4
Compare Whole Numbers
Five-Minute Check (over Lesson 1-3)
Main Idea and Vocabulary
California Standards
Example 1: Use a Number Line
Example 2: Use Place Value
1-4
Compare Whole Numbers
• I will compare whole numbers.
• number line
• is less than ( )
• is greater than ( )
• is equal to ( )
1-4
Compare Whole Numbers
Standard 4NS1.2 Order and compare
whole numbers and decimals to two decimal
places.
Standard 4NS1.1 Read and write numbers
in the millions.
1-4
Compare Whole Numbers
A middle school principal earns $97,032 in one
year. An elementary school principal earns $94,485
in one year. Who gets paid more?
On a number line, numbers to the right are greater
than numbers to the left.
1-4
Compare Whole Numbers
97,032 is to the right of 94,485.
So, 97,032 is greater than 94,485.
Therefore, 97,032 > 94,485.
Answer: So, the middle school principal gets paid
more than the elementary principal.
1-4
Compare Whole Numbers
A secretary earns $32,567 in one year and a bus
driver earns $31,622 in one year. Who gets paid
more?
A.
secretary
B.
bus driver
C.
Both get paid the same.
D.
Not enough information is given.
1-4
Compare Whole Numbers
Jorge traveled 1,296 miles during his summer
vacation. Kai traveled 1,967 miles during her
summer vacation. Who traveled more miles?
1-4
Compare Whole Numbers
Step 1 Line up the numbers so that the digits in the
ones place align.
1,296
1,967
1-4
Compare Whole Numbers
Step 2 Begin at the greatest place. Compare the
digits.
1,296
1,967
Since 1 = 1, go to the next place.
1-4
Compare Whole Numbers
Step 3 Compare the digits in the next place.
1,296
1,967
9>2
Answer: So, 1,967 is greater than 1,296. Therefore,
Kai traveled more miles during her summer
trip than Jorge.
1-4
Compare Whole Numbers
Maria traveled 2,432 miles over spring break to
visit her grandparents. Jamal traveled 2,498 miles
to visit his grandparents over spring break. Who
traveled more miles?
A.
Maria
B.
Jamal
C.
Both traveled the same amount.
D.
Not enough information is given.
1-5
Order Whole Numbers
Five-Minute Check (over Lesson 1-4)
Main Idea
California Standards
Example 1: Use a Number Line
Example 2: Use Place Value
1-5
Order Whole Numbers
• I will order whole numbers through the millions.
1-5
Order Whole Numbers
Standard 4NS1.2 Order and compare whole
numbers and decimals to two decimal places.
Standard 4NS1.1 Read and write numbers
in the millions.
1-5
Order Whole Numbers
Refer to the table. Order
the dog breeds from
least popular to most
popular.
Graph each number on a number line.
1-5
Order Whole Numbers
42,592 is the farthest to the left, so it is the least
popular.
45,868 is between 42,592 and 47,238.
47,238 is the farthest to the right, so it is the most
popular.
Answer: The order from least popular to most
popular is Beagle, German Shepherd,
Yorkshire Terrier.
1-5
Order Whole Numbers
Order the following numbers from least to greatest.
21,465; 21,333; 24,899; 24,751
A.
21,465; 21,333; 24,751; 24,899
B.
21,333; 21,465; 24,899; 24,751
C.
21,465; 21,333; 24,899; 24,751
D.
21,333; 21,465; 24,751; 24,899
1-5
Order Whole Numbers
The populations of three cities are listed below.
Use place value to order the population numbers
from least to greatest.
1-5
Order Whole Numbers
1,223,400
886,671 least
1,463,281
1,223,400
1,463,281
greatest
Answer: The numbers ordered from least to greatest
are 886,671; 1,223,400; and 1,463,281.
1-5
Order Whole Numbers
Use place value to order the following numbers
from least to greatest. 2,651,866; 2,571,322;
1,444,739; 1,498,200
A.
1,444,739; 1,498,200; 2,651,866; 2,571,322
B.
2,571,322; 2,651,866; 1,444,739; 1,498,200
C.
1,444,739; 1,498,200; 2,571,322; 2,651,866
D.
2,651,866; 2,571,322; 1,444,739; 1,498,200
1-6
Round Whole Numbers
Five-Minute Check (over Lesson 1-5)
Main Idea and Vocabulary
California Standards
Key Concept: Rounding Whole Numbers
Example 1: Round Whole Numbers
Example 2: Round Whole Numbers
Example 3: Round Whole Numbers
1-6
Round Whole Numbers
• I will round whole numbers through the millions.
• estimate
• rounding (or round)
1-6
Round Whole Numbers
Standard 4NS1.3 Round whole numbers
through the millions to the nearest ten, hundred,
thousand, ten thousand, or hundred thousand.
1-6
Round Whole Numbers
1-6
Round Whole Numbers
A library has 95,876 books. To the nearest
thousand, how many books does the library have?
On the number line, 95,876 is closer to 96,000 than
95,000. So, round 95,876 to 96,000.
Answer: The library has about 96,000 books.
1-6
Round Whole Numbers
A local radio station has a collection of 38,245 CDs.
To the nearest thousand, how many CDs does the
radio station have?
A.
38,200 CDs
B.
39,000 CDs
C.
37,000 CDs
D.
38,000 CDs
1-6
Round Whole Numbers
A local radio station claims that it has 571,394
loyal listeners. How many listeners is this rounded
to the nearest ten thousand?
On the number line, 571,394 is closer to 570,000
than 580,000. So, round 571,394 to 570,000.
Answer: The radio station has about 570,000 listeners.
1-6
Round Whole Numbers
A television show has 947,821 viewers per week.
How many viewers is this rounded to the nearest
ten thousand?
A.
900,000 viewers
B.
950,000 viewers
C.
940,000 viewers
D.
948,000 viewers
1-6
Round Whole Numbers
A wildlife refuge is said to be home to 569,400
birds. Round 569,400 to the nearest thousand.
You need to round 569,400 to the nearest thousand.
Step 1 Underline the digit in the
place to be rounded. In this
case, the 9 in the thousands
place needs to be rounded.
569,400
1-6
Round Whole Numbers
Step 2 Look at the digit to the
right of the underlined
digit, which is 4.
569,400
Step 3 Since this digit is less
than 5, do not change
the underlined digit.
569,400
1-6
Round Whole Numbers
Step 4 Replace all digits after the
underlined digit with zeros.
569,000
Answer: To the nearest thousand, 569,400 is
rounded to 569,000.
Check
The number line shows that the answer is correct.
1-6
Round Whole Numbers
Round 731,600 to the nearest thousand.
A.
730,000
B.
731,000
C.
732,000
D.
740,000
1-7
Problem-Solving Investigation: Choose a Strategy
Five-Minute Check (over Lesson 1-6)
Main Idea
California Standards
Example 1: Problem-Solving Investigation
1-7
Problem-Solving Investigation: Choose a Strategy
• I will choose the best strategy to solve a problem.
1-7
Problem-Solving Investigation: Choose a Strategy
Standard 4MR1.1 Analyze problems by
identifying relationships, distinguishing
relevant from irrelevant information,
sequencing and prioritizing information,
and observing patterns.
1-7
Problem-Solving Investigation: Choose a Strategy
Standard 4NS3.0 Students solve problems
involving addition, subtraction, multiplication, and
division of whole numbers and understand the
relationships among the operations.
1-7
Problem-Solving Investigation: Choose a Strategy
TORY: My family is going on
vacation to Mexico. Before we go,
we have to trade our dollars for
Mexican pesos. For every dollar
we will get about 11 pesos.
YOUR MISSION: Find about how
many pesos Tory’s family will
get for $8.
1-7
Problem-Solving Investigation: Choose a Strategy
Understand
What facts do you know?
• You know that one dollar is about 11 pesos.
What do you need to find?
• You will need to find about how many pesos
they will get for $8.
1-7
Problem-Solving Investigation: Choose a Strategy
Plan
For every 1 dollar, they get 11 pesos. Make a
table to solve the problem.
1-7
Problem-Solving Investigation: Choose a Strategy
Solve
There is a pattern of +11.
Answer: The family can expect to get about
88 pesos for $8.
1-7
Problem-Solving Investigation: Choose a Strategy
Check
There is a second pattern in the table. When the
digit in the dollar row is changed to pesos, the
dollar digit is repeated twice. For example, $5 is
55 pesos. $8 is 88 pesos follows this pattern.
So, the answer is correct.
1
Place Value and Number Sense
Five-Minute Checks
Math Tool Chest
Image Bank
How Big is One Million?
1
Place Value and Number Sense
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1
Place Value and Number Sense
1
Place Value and Number Sense
1
Place Value and Number Sense
1
Place Value and Number Sense
1
Place Value and Number Sense
Lesson 1-1
Lesson 1-2
(over Lesson 1-1)
Lesson 1-3
(over Lesson 1-2)
Lesson 1-4
(over Lesson 1-3)
Lesson 1-5
(over Lesson 1-4)
Lesson 1-6
(over Lesson 1-5)
Lesson 1-7
(over Lesson 1-6)
1
Place Value and Number Sense
Find the value of 10 × 3.
A. 30
B. 3
C. 300
D. 10
1
Place Value and Number Sense
Find the value of 100 – 30.
A. 130
B. 3,000
C. 3
D. 70
1
Place Value and Number Sense
Find the value of 16 ÷ 4.
A. 64
B. 4
C. 12
D. 20
1
Place Value and Number Sense
Find the value of 15 + 10.
A. 25
B. 5
C. 150
D. 75
1
Place Value and Number Sense
(over Lesson 1-1)
Write the value of the underlined digit.
131,166
A. 6
B. 600
C. 60
D. 66
1
Place Value and Number Sense
(over Lesson 1-1)
Write the value of the underlined digit.
72,015
A. 70,000
B. 7,000
C. 72
D. 7
1
Place Value and Number Sense
(over Lesson 1-1)
Write the value of the underlined digit.
999,760
A. 999
B. 90,000
C. 900,000
D. 9
1
Place Value and Number Sense
(over Lesson 1-1)
Write the value of the underlined digit.
62,824
A. 2,000
B. 2
C. 200
D. 2,824
1
Place Value and Number Sense
(over Lesson 1-2)
Write 5,376 in two different ways.
A.
five hundred seventy-six; 500 + 70 + 6
B.
five thousand three hundred seventy-six;
5,000 + 300 + 70 + 6
C.
five thousand three seventy-six; 5,000 + 376
D.
three thousand five hundred seventy-six;
3,000 + 500 + 70 + 6
1
Place Value and Number Sense
(over Lesson 1-2)
Write twenty-five thousand, seven hundred
eighty-nine in two different ways.
A.
25,700,089; 25,000 + 700 + 89
B.
2,789; 2,000 + 700 + 80 + 9
C.
257,809; 25,000 + 700 + 80 + 9
D.
25,789; 20,000 + 5,000 + 700 + 80 + 9
1
Place Value and Number Sense
(over Lesson 1-2)
Write 200,000 + 30,000 + 1 in two different ways.
A.
230,001; two hundred thirty thousand, one
B.
2,301; two thousand three hundred one
C.
230,100; two hundred thirty thousand, one
hundred
D.
500,001; five hundred thousand, one
1
Place Value and Number Sense
(over Lesson 1-2)
Write 765,149,372 in two different ways.
A.
seven hundred sixty-five thousand, one
hundred forty-nine, three hundred seventy-two;
700,000 + 60,000 + 5,000 + 100 + 40 + 9 + 300 +
70 + 2
B.
seven hundred sixty-five million, one hundred
forty-nine thousand, three hundred seventytwo; 700,000,000 + 60,000,000 + 5,000,000 +
100,000 + 40,000 + 9,000 + 300 + 70 + 2
1
Place Value and Number Sense
(over Lesson 1-2)
C.
seven hundred sixty-five billion, one hundred
forty-nine thousand, three hundred seventytwo; 765,000,000,000 + 100,000 + 40,000 + 9,000
+ 300 + 70 + 2
D.
seven hundred sixty-five thousand, one
hundred forty-nine thousand, three hundred
seventy-two; 700,000 + 60,000 + 5,000 +
100,000 + 40,000 + 9,000 + 300 + 70 + 2
1
Place Value and Number Sense
(over Lesson 1-2)
Answer:
B.
seven hundred sixty-five million, one hundred
forty-nine thousand, three hundred seventytwo; 700,000,000 + 60,000,000 + 5,000,000 +
100,000 + 40,000 + 9,000 + 300 + 70 + 2
1
Place Value and Number Sense
(over Lesson 1-3)
Solve. Use the four-step plan. A hamster can travel
about 5 times as fast as a roach. A roach can go 1
mile in an hour. How far can a hamster travel in
one hour?
A.
12 miles in one hour
B.
10 miles in one hour
C.
5 miles in one hour
D.
25 miles in one hour
1
Place Value and Number Sense
(over Lesson 1-4)
Compare. Use <, >, or =.
4,908
4,718
A.
4,908 < 4,718
B.
4,908 > 4,718
C.
4,908 = 4,718
D.
4,718 > 4,908
1
Place Value and Number Sense
(over Lesson 1-4)
Compare. Use <, >, or =.
16,547
62,050
A.
16,547 > 62,050
B.
62,050 < 16,547
C.
16,547 < 62,050
D.
16,547 = 62,050
1
Place Value and Number Sense
(over Lesson 1-4)
Compare. Use <, >, or =.
8,342
8,342
A.
8,342 = 8,342
B.
8,342 > 8,342
C.
8,342 < 8,342
D.
You can not compare these two numbers.
1
Place Value and Number Sense
(over Lesson 1-4)
Compare. Use <, >, or =.
42,610
41,619
A.
42,610 < 41,619
B.
41,619 > 42,610
C.
42,610 = 41,619
D.
42,610 > 41,619
1
Place Value and Number Sense
(over Lesson 1-5)
The Nile River is about 4,160 miles long. The
Mississippi River is about 2,340 miles long. The
Amazon River is about 4,000 miles long. Order the
rivers from shortest to longest.
A.
Nile, Mississippi, Amazon
B.
Amazon, Mississippi, Nile
C.
Mississippi, Nile, Amazon
D.
Mississippi, Amazon, Nile
1
Place Value and Number Sense
(over Lesson 1-6)
Round 4,236 to the nearest thousand.
A. 4,200
B. 4,000
C. 5,000
D. 3,000
1
Place Value and Number Sense
(over Lesson 1-6)
Round 2,699 to the nearest thousand.
A. 2,000
B. 2,700
C. 3,000
D. 1,000
1
Place Value and Number Sense
(over Lesson 1-6)
Round 189,022 to the nearest hundred thousand.
A. 189,000
B. 200,000
C. 190,000
D. 100,000
1
Place Value and Number Sense
(over Lesson 1-6)
Round 435,001 to the nearest hundred thousand.
A. 435,000
B. 500,000
C. 440,000
D. 400,000
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