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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
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