Topic 3 PLACE VALUE

Review What You Know - Vocabulary Choose the best term from the box. A group of three digits in a number separated by a comma is a ___. A ___ is a line that shows numbers in order using a scale. The number 8 is an ___ number. The number 3 is an ___ number. odd even period number line

Review What You Know – Comparing Numbers Compare each set of numbers using >, <, or =. 13 ___ 10 7 ___ 7 43 ___ 34 0 ___ 1 52 ___ 52

Review What You Know – Place Value Tell if the underlined digit is in the ones, tens, or hundreds place. 346 17 921 1,006 999 1,405

Lesson 3.1 Representing Numbers

Number Talk 5 – 15 minute session 20 – 15 20 – 14 20 – 9 20 – 8

Fact Fluency

Lesson 3.1 Learning Target I can compare two multi-digit numbers based on meanings of the digits in each place, using <, >, or = symbols to record the results of comparisons. Record and deconstruct standard in math notebook!

What are some ways to represent numbers in the thousands? Lesson 3.1 Focus What are some ways to represent numbers in the thousands?

Lesson 3.1 Purpose You know how to read and write numbers in the thousands using standard form. Today, you will learn how to read and write those numbers in other ways.

When have you seen or heard about numbers in the thousands? Lesson 3.1 Connect When have you seen or heard about numbers in the thousands?

Expanded Notation

Pose the Problem An airplane flies at an altitude of 1,358 feet. How can you represent this number using the smallest number of place-value blocks?

Academic Vocabulary Write 1,358 as the sum of the values of each of its digits. Why do you think this form of a number is called expanded form?

Extend What number is 2,000 more than 1,358? Write your answer in expanded form.

Visual Learning Animation

What is 2,000 + 300 + 70 + 8 written in standard form? A. 2,378 B. 2,387 C. 2,738 D. 3,278

Carly drew the four cards shown below Carly drew the four cards shown below. What is the greatest possible number that can be made with the cards if each card is used only once? A. 9,851 B. 9,815 C. 8,951 D. 1,589

What is 1,000 + 500 + 60 + 9 written in standard form? A. 1,569 B. 1,596 C. 1,659 D. 5,169

Which digit is in the hundreds place in the number 4,385?

Which number has a seven in the tens place? A. 2,367 B. 4,736 C. 5,673 D. 7,863

Practice Time Complete Practice page. Complete Enrichment page.

Formative Assessment Quick Check 3-1

Thank you for your dedication. You may now visit mobymax Thank you for your dedication! You may now visit mobymax.com to practice.

Place Value Relationships Lesson 3.2 Place Value Relationships

Number Talk 5 – 15 minute session 50 – 44 50 – 39 50 – 29 50 – 24

Fact Fluency

Lesson 3.2 Learning Target I can recognize that a multi-digit whole number in the ones place represents ten times what it represents in the place to its right. Record and deconstruct standard in math notebook!

How do the digits in a multi-digit number relate to each other? Lesson 3.2 Focus How do the digits in a multi-digit number relate to each other?

Lesson 3.2 Purpose You know about representing numbers in the place- value system and the names of each place. Today, you are going to look more closely at those places and see how they relate to each other.

In the number 1,234, what is the value of each of the digits? Lesson 3.2 Connect In the number 1,234, what is the value of each of the digits?

Pose the Problem In the number 770, what is the relationship between the value of the first 7 and the value of the second 7?

Pose the Problem In the number 3,300, what is the relationship between the value of the first 3 and the second 3?

Extend In the number 3,554, does having a 3 in the thousands place and a 4 in the ones place change the relationship between the value of the two 5s?

Visual Learning Animation

Which of the following names the value of the 8s in 8,870? A.    80 and 8 B.    800 and 8 C.    8,000 and 80 D.    8,000 and 800

Which of the following names the value of the 4s in 5,404? A. 40 and 4 B. 400 and 40 C. 400 and 4 D. 4,000 and 400

In the number 5,332, how many times greater is the 3 in the hundreds place than the 3 in the tens place? A. three B. ten C. one hundred D. one thousand

Which of the following shows a number with digits having the value of 60 and 6? A. 4066 B. 4660 C. 6640 D. 4606

What is the relationship between the values of the 4s in the number 4,438? A. One number value is 10 times greater than the other. B. One number value is 100 times greater than the other. C. One number value is 100 times greater than the other. D. One number value is 10,000 times greater than the other.

Practice Time Complete Practice page. Complete Enrichment page. Check all work with a partner.

Formative Assessment Quick Check 3-2

Thank you for your dedication. You may now visit mobymax Thank you for your dedication! You may now visit mobymax.com to practice.

Lesson 3.3 Comparing Numbers

Number Talk 5 – 15 minute session 100 – 89 100 – 69 100 – 49 100 - 37

Fact Fluency

Lesson 3.3 Learning Target I can compare two multi-digit numbers based on meanings of the digits in each place, using <, >, or = symbols to record the results of comparisons. Record and deconstruct standard in math notebook!

How can place value help you compare whole numbers? Lesson 3.3 Focus How can place value help you compare whole numbers?

Lesson 3.3 Purpose You already know how to write a number in a place- value chart, in expanded form, and in word form. Today, you will learn how to compare numbers by using place value.

Lesson 3.3 Connect Suppose I have a group of 40 pens and a group of 60 pens. How can I compare the number of pens in each group?

Pose the Problem Suppose I have a group of 1,345 pens and a group of 1,380 pens. How can you use place-value blocks and a place-value chart to find which group has more?

Academic Vocabulary When you compare numbers, you find out which number is greater and which number is less. 25, 26 Which number is greater? How do you know?

Extend How can you use a place-value chart to compare 32,473 and 32,375.

Visual Learning Animation

Which number makes the comparison true? A. 380 B. 308 C. 38 D. 3,800

The driving distance from Daytona Beach to Orlando is 58 miles The driving distance from Daytona Beach to Orlando is 58 miles. The driving distance from Daytona Beach to St. Augustine is 65 miles. Which of these tells you that the distance from Daytona Beach to St. Augustine is greater than the distance from Daytona Beach to Orlando? A. 58 > 65 B. 65 > 58 C. 65 < 58 D. 65 = 58

Which symbol makes the comparison true? A. + B. = C. < D. >

Which number makes the comparison true? A. 7,800 B. 780 C. 708 D. 78

Which symbol makes the comparison true? A. > B. = C. + D. <

Practice Time Complete Practice page. Complete Enrichment page. Check all work with a partner.

Formative Assessment Quick Check 3-3

Thank you for your dedication. You may now visit mobymax Thank you for your dedication! You may now visit mobymax.com to practice.

Lesson 3.4 Ordering Numbers

Number Talk 5 – 15 minute session 50 – 29 55 – 29 55 – 48 55 - 37

Fact Fluency

Lesson 3.4 Learning Target I can compare two multi-digit numbers based on meanings of the digits in each place, using <, >, or = symbols to record the results of comparisons. Record and deconstruct standard in math notebook!

How do you compare numbers? Lesson 3.4 Focus How do you compare numbers?

Lesson 3.4 Purpose You know how to compare and order 4-digit numbers. Today, you will learn how to use a number line to compare and order greater numbers.

When might you want to order numbers? Lesson 3.4 Connect When might you want to order numbers?

Pose the Problem These are the depths of the Atlantic, Indian, and Pacific Oceans. A robotic submarine can dive to a depth of 26,000 feet below sea level. Work with a partner to decide which ocean(s) the sub can explore all the way to the bottom.

Extend Work with 3 other scholars. Each scholar will write a number between 100,000 and 900,000 in their math notebook. Order the numbers from least to greatest by making a human number line.

Visual Learning Animation

Order the numbers from least to greatest. 88,630 88,360 87,783

Which number does NOT come between 13,130 and 13,371? A. 13,007 B. 13,172 C. 13,241 D. 13,349

Which number sentence is NOT true? A. 5,813 < 8,513 B. 5,813 < 5,831 C. 5,813 > 5,183 D. 5,813 < 5,318

The chart gives the number of books in some city libraries The chart gives the number of books in some city libraries. Which library has more volumes, Baton Rouge or El Paso? What number sentence shows the comparison? A. El Paso; 1,232,185 < 1,277,003 B. Baton Rouge; 1,232,185 < 1,277,003 C. El Paso; 1,232,185 > 1,277,003 D. Baton Rouge; 1,232,185 > 1,277,003

The chart gives the diameters of Earth and the five closest planets The chart gives the diameters of Earth and the five closest planets. Which of these statements is NOT true about the diameter of Mars? A. It is less than the diameter of Venus. B. It is less than the diameter of Earth. C. It is less than the diameter of Saturn. D. It is greater than the diameter of Jupiter.

Practice Time Complete Practice page. Complete Enrichment page. Check all work with a partner.

Formative Assessment Quick Check 3-4

Thank you for your dedication. You may now visit mobymax Thank you for your dedication! You may now visit mobymax.com to practice.

Rounding Whole Numbers Lesson 3.5 Rounding Whole Numbers

Number Talk 5 – 15 minute session 35 – 10 35 – 13 35 – 20 35 – 22

Fact Fluency

Lesson 3.5 Learning Target I can use place value understanding to round multi-digit whole numbers to any place. Record and deconstruct standard in math notebook!

How can you round numbers? Lesson 3.5 Focus How can you round numbers?

Lesson 3.5 Purpose You have used place value to read numbers. Today, you will learn to use place value to round numbers.

Lesson 3.5 Connect What does it mean to round a number? When might you want to round a number?

Pose the Problem In your math notebook, list 5 numbers that are greater than 300 and that round to 300. Then, list 5 numbers greater than 300 that round to 400. Use a variety of digits. Below the lists, write what you notice about the digits in the tens place of the numbers.

Small-Group Interaction In your math notebook, list 5 numbers that are greater than 6,000 and that round to 6,000. Then, list 5 numbers greater than 6,000 that round to 7,000. Use a variety of digits. Below the lists, write what you notice about the digits in the hundreds place of the numbers.

Extend Based on your work for this activity, write some rules for using place value to round numbers.

Visual Learning Animation

Round 345,229 to the nearest thousand. A. 300,000 B. 340,000 C. 345,000 D. 346,000

Round 185,340 to the nearest ten-thousand. A. 200,000 B. 190,000 C. 185,000 D. 180,000

Round 3,547,019 to the nearest million. A. 2,000,000 B. 3,000,000 C. 3,500,000 D. 4,000,000

Round 683,492 to the nearest hundred thousand. A. 700,000 B. 680,000 C. 683,000 D. 600,000

Round 7,340,208 to the nearest million. A. 7,000,000 B. 8,000,000 C. 6,000,000 D. 7,400,000

Practice Time Complete Practice page. Complete Enrichment page. Check all work with a partner.

Formative Assessment Quick Check 3-5

Thank you for your dedication. You may now visit mobymax Thank you for your dedication! You may now visit mobymax.com to practice.

Problem Solving: Make An Organized List Lesson 3.6 Problem Solving: Make An Organized List

Number Talk 5 – 15 minute session 53 – 40 53 – 42 56 – 30 56 – 34

Fact Fluency

Lesson 3.6 Learning Target I can recognize that a multi-digit whole number in the ones place represents ten times what it represents in the place to its right. Record and deconstruct standard in math notebook!

How can you use a list to find possible combinations? Lesson 3.6 Focus How can you use a list to find possible combinations?

Lesson 3.6 Purpose You know there are different ways to solve word problems. Today, you are going to use organized lists to solve word problems.

When have you made a list? Why did you make a list? Lesson 3.6 Connect When have you made a list? Why did you make a list? What did you include on the list?

Pose the Problem Daryl has 5 shirts and 2 pairs of pants. Name all the possible combinations of shirts and pants he can wear together. How many different outfits can he make?

Small-Group Interaction For lunch, Sarah can choose from 2 salads and 3 soups. How many different combinations of soup and salad can she have?

Extend There are 3 finalists in a skating competition. In how many different ways can they be scheduled to perform?

Visual Learning Animation

Ms. Jacobs is buying sandwich meats for her family Ms. Jacobs is buying sandwich meats for her family. She can choose from turkey, salami, chicken, bologna, and ham. If she is going to purchase two different kinds of sandwich meats, how many different combinations does she have to choose from? A. 15 B. 10 C. 8 D. 5

Maria is shopping for an outfit to wear on the first day of school Maria is shopping for an outfit to wear on the first day of school. For tops, she finds yellow, blue, red, white, and green shirts. For bottoms, she finds a skirt, a pair of brown pants, and a pair of blue jeans. How many different outfits are possible with the items Maria found? A. 8 B. 10 C. 15 D. 20

The Lunch Stop is offering combination specials including a sandwich and a side order. The sandwiches choices are meatball, chicken, turkey, and tuna. The side orders include potato salad, an apple, or carrot sticks. How many different combination specials are possible? A. 12 B. 7 C. 18 D. 9

Samantha, Kelly, Jenni, and Melissa want to go on an amusement ride at the fair. How many different ways can they line up single file to go on the ride? A. 4 B. 12 C. 20 D. 24

Nick, John, Carlos, Steven, and Sean are swimming in a race Nick, John, Carlos, Steven, and Sean are swimming in a race. In how many different ways can these five boys come in first, second, and third? A. 60 B. 30 C. 20 D. 5

Practice Time Complete Practice page. Complete Enrichment page. Check all work with a partner.

Formative Assessment Quick Check 3-6

Thank you for your dedication. You may now visit mobymax Thank you for your dedication! You may now visit mobymax.com to practice.

End of Topic 3 Topic 3 Assessment