WHOLE NUMBERS

Key Words

Expanded

Form

Standard Form

Front – End Rounding

Compatibl

e Num

bers

Compensation

Place Value

Numbers to 100 000

Student Outcome: I can describe numbers to 100 000

hundred ten onethousand

Place Value

In the base ten number system, each place has ten times the value of the place to its right.

Numbers to 100 000

Student Outcome: I can describe numbers to 100 000

Describe using words or drawing blocks the following numbers:

54376 9025

Numbers to 100 000

Student Outcome: I can describe numbers to 100 000

Describe using words or drawing blocks the following numbers:

54 3769025

Numbers to 100 000

Student Outcome: I can describe numbers to 100 000

http://www.learnalberta.ca/content/memg/index.html?term=Division02/Place_Value/index.html

Learn Alberta Site – Type in a number and it will display using blocks.

Numbers to 100 000Student Outcome: I can describe numbers to 100 000 More on Place Value

Large whole numbers are arranged in groups of threes called periods. Each period has a hundred(s), ten(s) and one(s) position.See the number 123 456 789 below as an example. The 8 is in the tens position, the 5 is in the ten-thousands position.

Challenge Information

Student Outcome: I can describe numbers less than 0 Decimal numbers are also arranged in groups of threes called periods. Each period has a ten(th), hundred(th) and thousand(th) position.See the number 0.123 456 789 below as an example. The 2 is in the hundredths position, the 5 is in the hundred-millionths position.

Numbers to 100 000Student Outcome: I can describe numbers to 100 000

http://www.beaconlearningcenter.com/weblessons/ThereMustBeThousands/default.htm

Site showing place values and intro to standard form.

Numbers to 100 000

Student Outcome: I can describe numbers to 100 000

TextbookPractice

Page 38 #2, 3, 4, 5, 7

Numbers to 100 000

Student Outcome: I can describe numbers to 100 000

AIM for 100 000

Exploring One Million

Student Outcome: I can describe numbers to 1 000 000

Exploring One Million

Student Outcome: I can describe numbers to 1 000 000

Explain the following:

1 000 000 = 1000 thousands

$1 000 000 = ten thousand $100 bills

1 000 000 min is about 2 years

1 000 000 € (cents) = $10 000

Exploring One Million

Student Outcome: I can describe numbers to 1 000 000

TextbookPractice

Page 41 #1,2,3Page 42 #5,6,7

Representing Numbers

Student Outcome: I can describe whole numbers in different ways

Place the digit in the proper place value cell to complete the number.

65289 045789 433

Representing Numbers

Student Outcome: I can describe whole numbers in different ways

Standard Form

Shows the written number3 864

Expanded Form

Shows a number as a sum of the values of its digits(3x1000) + (8x100) + (6x10) + (4x1)

Representing NumbersStudent Outcome: I can describe whole numbers in different ways

Show these numbers using expanded form

65289 045789 433

Representing NumbersStudent Outcome: I can describe whole numbers in different ways

ExampleIn the number 1 329:the one is in the thousands position the three is in the hundreds position the two is in the tens position the nine is in the ones position.

Representing NumbersStudent Outcome: I can describe whole numbers in different ways

http://www.crickweb.co.uk/assets/resources/flash.php?&file=Toolkit%20index2a

Learn Alberta Interactive Block and expanded form site

http://www.learnalberta.ca/content/memg/index.html?term=Division02/Place_Value/index.html

Place Value Calculator

Representing Numbers

Student Outcome: I can describe whole numbers in different ways

TextbookPractice

Page 45 # 3,6,7Page 46 # 8,10,12,13Page 47 #14

Estimating SumsStudent Outcome: I can use different ways to estimate when adding

How can you find the answer to 459 + 201 =

Front – End RoundingUsing the first digit from each number to get an estimate

Compatible NumbersUsing multiples of 10, 100.. to make a number easier to add

CompensationRounding a number up then the next number down

Estimating SumsStudent Outcome: I can use different ways to estimate when adding

Front – End RoundingUsing the first digit from each number to get an estimate

Examples:465 + 301 + 198 = 400 + 300 + 100 = 800 (first digit in each number)

23 056 + 42 982 = 20 000 + 40 000 = 60 000

72 x 23 = 70 x 20 = 1400

356 + 887 =

Estimating SumsStudent Outcome: I can use different ways to estimate when adding

Compatible Numbers

Using multiples of 10,100 to make a number easier to add

Examples:11 090 + 10 651 = 11 100 + 10 650 = 21 750 (multiples of 10)

27 x 41 = 30 x 40 = 1 200 (multiples of 10)

10 320 + 9 997 + 8 465 = 10 300 + 10 000 + 8 500 = 28 000 (multiples of 100)

67 + 43 + 39 =

Estimating SumsStudent Outcome: I can use different ways to estimate when adding

CompensationRounding a number up then the next down

Example:11 090 + 10 651 + 10 320 + 9 956 = 11 000 + 11 000 + 10 000 + 10 000 = 40 0000

(down) (up) (down) (up)

476 + 2389 + 56 + 589 =

59 + 126 + 17 =

Estimating SumsStudent Outcome: I can use different ways to estimate when adding

http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=23

Math Live – Front-end Rounding – Compatible Numbers

Estimating Sums

Student Outcome: I can use different ways to estimate when adding

TextbookPractice

Page 51 #1,4a,b,7,8Page 52 #10,11,12

Using Benchmarks to Estimate

Student Outcome: I can use benchmarks of 10’s, 100’s, 1000’s, 10 000’s BenchmarkDefinition

A benchmark is something (for example a number) that serves as a reference to which something else (another number) may be compared. The most common use for benchmarks is in estimation.

Example:

Is 258 closer to 250 or 260?Is 258 closer to 200 or 300?

Is 46 380 closer to 46 300 or 46 400?Is 46 380 closer to 46 000 or 47 000?

Using Benchmarks to Estimate

Student Outcome: I can use benchmarks of 10’s, 100’s, 1000’s, 10 000’s

Medicine Hat’s Population 200961,097

What kind of benchmark would you use to describe Medicine Hat’s Population?

Medicine Hat’s Population for the year 2009 is ……………..?

Using Benchmarks to Estimate

Student Outcome: I can use benchmarks of 10’s, 100’s, 1000’s, 10 000’s

http://www.learnalberta.ca/content/memg/index.html?term=Division02/Benchmark/index.html

Benchmarks - percent

Using Benchmarks to Estimate

Student Outcome: I can use benchmarks of 10’s, 100’s, 1000’s, 10 000’s

TextbookPractice

Page 55 #1, 2, 3a,b, 4a,b, 5a,bPage 56 #6, 9, 11

Estimating DifferencesStudent Outcome: I can use different ways to estimate when subtracting

How can you find the answer to 3 818 - 2 079 =

Front – End RoundingUsing the first digit from each number to get an estimate

Compatible NumbersUsing multiples of 10, 100.. to make a number easier to add

CompensationRounding a number up then the next number down

Estimating DifferencesStudent Outcome: I can use different ways to estimate when subtracting

How can you find the answer to 3 818 - 2 079 =

Front – End RoundingUsing the first digit from each number to get an estimate

3 000 - 2 000 = 1 000

OR

Look at the last 3 digits of each number (to be more accurate)

3 818 800 = 3 800 2 079 100 = 2 100

3 800 - 2 100 = 1 700

Estimating DifferencesStudent Outcome: I can use different ways to estimate when subtracting

How can you find the answer to 3 818 - 2 079 =

Compatible NumbersUsing multiples of 10, 100.. to make a number easier to add

3 818 = 3 8002 079 = 2 100 3 800 – 2 100 = 2 700

OR to be more accurate

3 818 = 3 8202 079 = 2 080 3 820 – 2 080 = 1740

Estimating Differences

Student Outcome: I can use estimation strategies to subtract

TextbookPractice

Page 58 #1ab,2ab,3ab,4Page 59 #5,6,7

Using Estimation to Check Answers

Student Outcome: I can use estimation to check my work

Mr. Bosch earned $34.00, $120.00 and $210.00.About how much did he earn?

What strategies can you use to solve this answer?

Using Estimation to Check Answers

Student Outcome: I can use estimation to check my work

Practice

Page 62 #1cd,2cd,5,7Page 63 #9,10,13

Strategies Toolkit

Student Outcome: I can understand a problem and pick a way to solve it

Practice

Page 65 #1,2

Show What You Know

Student Outcome: I will solve questions using ways I learned in unit 2

Textbook

Page 66 #2, 3a,b, 4a,b, 5a,b, 6, 7a,b, 8Page 67 #9, 10, 12, 13