Chapter 3Chapter 3Compare, Order, and Round Numbers

Information from Harcourt Math Presentation compiled by Susan Mumper 3rd grade HES

State Standards coveredState Standards covered

Demonstrate concepts of number sense by comparing, ordering, and expanding whole numbers through 9,999.

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VocabularyLesson 3.1Lesson 3.2Lesson 3.3Lesson 3.4Lesson 3.5Lesson 3.6

POD◦3.1◦3.2◦3.3◦3.4◦3.5◦3.6

Lesson 3.6 objective – to use Lesson 3.6 objective – to use rounding rules to round to the rounding rules to round to the nearest 1,000nearest 1,000

Round to the nearest 10Round to the nearest 10

1. 522. 153. 274. 685. 76

Turn to p. 52 in your math book.Turn to p. 52 in your math book.

1. Why does the number line use thousands and not other values, such as hundreds and tens?

2. How are 4,405 and 2,641 different when rounded to the nearest 1,000?

3. How is rounding to the nearest 1,000 like rounding to the nearest 100 or 10?

4. How is it different?

Guided instructionGuided instruction

Another way to look at rounding.AAAmath.com

Guided practiceGuided practice

Turn to p. 53 and we will do #’s 1-5 together.

Math TaskMath Task

1. MB p. 53 #’s 6-22 even2. Round these numbers to the nearest

thousand, hundred, and ten1. 8,1192. 6,932

3. Pick a math game from the box.

Lesson 3.5 objective – To use Lesson 3.5 objective – To use rounding rules to round numbers rounding rules to round numbers to the nearest 10 and 100.to the nearest 10 and 100.

Tell the numbers in order from Tell the numbers in order from least to greatest.least to greatest.

1. 23, 19, 162. 37, 31, 233. 29, 33, 324. 59, 57, 585. 218, 287, 278

Rounding to the nearest 10Rounding to the nearest 100How to round numbers

◦Highlight the digit that may change. ◦Underline the digit on the right.◦Round the highlighted digit

If the underlined digit is 5 or more the highlighted digit is increased by 1.

If the underlined digit is 4 or less the highlighted digit stays the same.

◦All the digits to the right of the highlighted digit are changed to zeros.

Guided practiceGuided practice

Turn to page 51, and we will do #’s 1-6 together.

Math taskMath task

1. MB p. 51 #’s 7-27 odd.2. Round these numbers to the nearest 10

and 100 in your journal:1. 1082. 6843. 2514. 345

3. Pick a game from the box.

Lesson 3.4 objective – To use the Lesson 3.4 objective – To use the problem solving skill use a bar problem solving skill use a bar graph to solve problemsgraph to solve problems

Compare. Write <, >, or = for each Compare. Write <, >, or = for each

. .

1. 124 1182. 229 2323. 224 2444. 3,156 3,1655. 4,371 4,372

LearnLearn

Look at p. 48What information do you get from the

titles and labels of a bar graph?What are you being asked to do?In step 1, how can you determine how the

numbers are related?Practice

Guided practiceGuided practice

Let’s look at p. 49 and do #’s 1-5 together.

Math taskMath task

1. MB p. 49 #’s 6-92. Answer # 10 in your math journal.3. Pick a math game from the box.

Lesson 3.3 objective – To use Lesson 3.3 objective – To use models, number lines, and place models, number lines, and place value to order numbers.value to order numbers.

Tell which number is greaterTell which number is greater

1. 37 or 292. 58 or 653. 235 or 2534. 21 or 325. 120 or 99

Order NumbersOrder Numbers

Do you need a number line with the exact points shown to order 4-digit numbers?

Where would the zero be on this number line?

How do you know where to place 3,718 on the number line?

Ordering Numbers VideoAAAmath.com practice

3,000 4,000 5,000 6,000 7,000

Guided PracticeGuided Practice

Open your books to page 46 and we will do 1-3 together.

Math taskMath task

1. MB p. 47 #4-12 even2. In your journal draw a number line to put

these numbers in order from least to greatest: 765, 983, and 503. Draw another number line and put these numbers in order from least to greatest: 7,321; 7,359; 7,366

3. Choose a math game.

Lesson 3.2 objective – to use Lesson 3.2 objective – to use models, place value, and number models, place value, and number lines to compare numberslines to compare numbers

How many tens does each number How many tens does each number have?have?

1. 152. 203. 544. 375. 83

Let’s learn some about greater Let’s learn some about greater than, less than, and equal too.than, less than, and equal too.

When you compare numbersyou can tell which is greaterand which is less.

Here are two different ways to Here are two different ways to look at comparing numbers.look at comparing numbers.

Compare numbersKahn academy

Some fun practice!Some fun practice!

Greater than, less than, or equal GumballsCOMPARING NUMBER VALUES - MORE

THAN, LESS THAN, EQUAL

Now we are going to practice. Now we are going to practice. Turn in your math book to p. 43 Turn in your math book to p. 43 and we will do 1-6 together.and we will do 1-6 together.

Math TaskMath Task

1. MB p. 44 #’s 7-19 odd2. MB p. 45 #’s 33-45 odd3. In your journal write <, >, or =

1. 60 322. 3,861 3,861

4. Play a math game from the black box.

Lesson 3.1 objective- to use Lesson 3.1 objective- to use benchmark numbers to benchmark numbers to understand the relative understand the relative magnitude of numbers.magnitude of numbers.

Let’s reviewLet’s review

Which is greater?1.29 or 922.101 or 1,0013.523 or 4984.7 or 705.64 or 65

What does estimate mean?Benchmark numbers are numbers that

help you estimate the number of objects without counting them.

What is an estimate? When might you use an estimate?

Let’s compare Jar A to Jar BLet’s compare Jar A to Jar B

Why might you estimate the number of jelly beans in Jar B instead of counting them.

Why might you use a different benchmark to estimate the number of books in the school library than you would use to estimate the number of students in your classroom?

Let’s practiceLet’s practice

Turn in your math book to p. 41 and we will do 1-4 together.

Math taskMath task

1. Math book p. 41 #’s 5-10.2. In your journal answer these questions.

Choose a benchmark number of 10, 100, or 500 to estimate each.

1. People on a bus2. Trays in the lunchroom3. Number of words in a chapter

3. Math game from the box

Benchmark Benchmark numbersnumbers

Numbers that help you estimate the number of objects without

counting them, such as 25, 50,100 and 1,000

CompareCompareto describe whether numbers are equal

to, less than, or greater than each other.

> Greater than> Greater thanA symbol used to compare two numbers, with

the greater number given first.More

< Less Than< Less ThanA symbol used to compare two numbers, with

the lesser number given first.Smaller

= Equal To= Equal ToHaving the same value.

RoundingRoundingReplacing a number with another number that tells about how many or how much.

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POD lesson 3.1POD lesson 3.1

Rearrange the digits in 57,070 to form at least 12 different numbers. Read your numbers to a neighbor.

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Lesson 3.2Lesson 3.2

Samantha is swimming across a lake to reach a diving platform that is 18 yards away. Every time she swims 6 yards, the waves push her back 2 yards. At this rate, how many times must she swim forward 6 yards to reach the platform?

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Lesson 3.3Lesson 3.3

Both Holly and Mike have 12 base-ten blocks. Mike has an equal number of hundreds, tens, and ones blocks. Holly has 3 tens and 5 ones, and the others are hundreds. Who can model a greater number?

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Lesson 3.4Lesson 3.4

Josh’s house is between Fran’s house and the school. Kay lives the closest to the school. Their houses are at 846,862, and 822 Main Street. What is the house number of each student?

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Lesson 3.5Lesson 3.5

Find the number whose thousands value is the same as the thousands value in 4,106; whose hundreds value is the same as the hundreds value in 2,039; whose tens value is the same as the tens value in 4,303; and whose ones value is the same as the ones value in 6,288.

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Lesson 3.6Lesson 3.6

Sue wrote all the numbers that can be rounded to 60. Lee wrote all the numbers that can be rounded to 600. Who wrote more numbers? How many more numbers?

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