multiplication and division
DESCRIPTION
Multiplication and Division. Oh yeah we’ve got this! . Warm-Up . Write down 3 goals that you have for this unit! Then write down 3 things you will do to help you reach those goals. Make sure to set high expectations for yourself and then do what it takes to meet those goals!. - PowerPoint PPT PresentationTRANSCRIPT
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MULTIPLICATION AND DIVISION
Oh yeah we’ve got this!
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WARM-UP 1) Write down 3 goals that you
have for this unit!2) Then write down 3 things you will
do to help you reach those goals.
Make sure to set high expectations for yourself and then do what it takes to meet
those goals!
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STANDARD AND ESSENTIAL QUESTION
MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm.
How is multiplication related to division?
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MULTIPLICATION BASICS BrainPop Video
http://www.brainpop.com/math/numbersandoperations/multiplication/
So now let’s move it up to a 6th grade level!
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MULTIPLICATION Problem: 625 34
625 x34
Step 1: Multiply 625 4
Step 2: Multiply 625 30
625 x34
250018750
Step 3: Add 2500 + 18750
625 x34
2500+1875021250
Solution: 21,250
2500
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MULTIPLICATION Problem: 492 28
492 x28
Step 1: Multiply 492 8
Step 2: Multiply 492 20
492 x28
3936 9840
Step 3: Add 3936 + 9840
492 x28
3936 +984013776
Solution: 13,776
3936
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LET’S PRACTICE!
523 x41
645 x16
Solution: 21,443
Solution: 10,320
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MULTIPLICATION AROUND THE WORLD
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WARM-UP Find the product!
4234
x23
2198
x35Solution:
97,382Solution:
76,930
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STANDARD AND ESSENTIAL QUESTION
MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm.
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WARM-UP
5 425 3 522
Solution: 85
Solution: 174
Please pick up all 3 papers on the warm-up table. Then, find the quotient of the following two problems.
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WORD OF THE DAY! Algorithm a specific set of instructions for carrying
out a procedure or solving a problem Method, procedure, technique
Now you can sound super
smart! :)
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LEARNZILLION VIDEO http://learnzillion.com/lessons/1678-divi
de-4digit-numbers-by-2digit-numbers-using-long-division-no-remainder
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SO WHAT’S THE MOST IMPORTANT INFO? In long division, there are three steps
that you keep doing until you reach your goal! Divide
Multiply
Subtract
Bring it Down
Zero after subtraction and no number to bring
down!
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LONG DIVISION Think of it as an 18-wheeler truck.
You are the driver and know how many boxes the
company needs delivered.
In the back are all of your supplies that
haven’t been placed in boxes yet.
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DIVISION!! You need to deliver 3654 boxes of Girl
Scout cookies. You have been able to find 42 large cardboard boxes to put the cookies in. How many boxes of cookies can go in each cardboard box?
423654Step one: How many times does 42 go into 365? (Divide)
Strategy: Guess and Check
42 • 5 = 210 (way too small)
42 • 9 = 378 (over!)42 • 8 = 336 (Oh YEAH!)
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4236548
-3362
94
Step two: Place the 8 above the final place value of the 365. Multiply 8 and 42 to get 336.
Step three: Subtract 336 from 365.
Strategy: Guess and Check
42 • 5 = 210 (way too small)
42 • 7 = 294 (Perfect!)
7
-2940
Complete AnswerYou can put 87 boxes of
Girl Scout cookies in each cardboard box.
Step four: Bring down the 4
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WHAT IS A REMAINDER ANYWAY? Remainder: is what fraction of the
whole is going to be left over.
You are buying a game with your 4 friends that costs $28. How much does each person owe?
How do you set up this problem?
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SAY GOODBYE TO (R) REMAINDERS Instead of using a R remainder, just keep dividing and form a decimal.
5 285
-253
R35 28-25
3
5.00
.6
-300
THEN NOW
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LET’S PRACTICE
16452-32
Strategy: Guess and
Check16 • 2 = 32 16 • 3 = 48 132
2
-128
8
Strategy: Guess and
Check16 • 9 = 144 16 • 8 = 128
4
.0
0-32-808
0
00
.25
Strategy: Guess and
Check16 • 5 = 80
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MORE PRACTICE! YAY!! Our class with 28
people wants to go on a trip to the aquarium. They gave us a group rate of $595 for everyone. How much does each student have to pay?
My 3 roommates and I want to buy new living room furniture. We found some that costs $2499. How much would each of us have to pay?Each student in the
class would pay $21.25.
Each roommate would have to pay
$624.75.
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WARM-UP Find the quotient!
41 87248 24 2328
Solution: 2,128
Solution: 97
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WARM-UP Sarah’s annual
salary is $65,013. If she works all 52 weeks of the year, how much is she paid each week?
The distance from New York to Tokyo is 6,375 miles. If it takes 15 hours to fly from NY to Tokyo, how many miles per hour is the plane flying? Sarah makes
$1250.25 per week.
The plane flies at 425 miles per
hour.
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WARM-UP In 2012, Taylor Swift’s concert tour
grossed approximately $26,310,144 over her 21 shows. How much money did each concert make on average?
Taylor Swift’s concerts made $1,252,864 on
average.
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WARM-UP MAKE SURE TO PICK UP THE
NOTETAKING SHEET AND HOMEWORK FROM THE BACK TABLE!!
Last year, Abby made $33,300. How much money did Abby make each
month?
Abby made $2775 per month.
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KEY TO MULTIPLYING AND DIVIDING DECIMALS
The key is ESTIMATION!!! Estimation helps you make sure that
your answer makes sense.
242÷2.2= ?
240÷2= 120
Now make sure that your answer is reasonably close to the
estimation.
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HOW TO DIVIDE WITH DECIMALS1) You cannot have any decimals on the
outside of the division sign, so you have to move the decimal.
2.2
2420
Move the decimal until it is a whole
number!
Then move the decimal the same
amount of spaces on the number under the division sign.
Place a 0 in each place
value where you moved the
decimal
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2) Use the standard division algorithm.
222420-22
1
2
01
2-22000
- 0
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3) Check and make sure your answer is reasonable.
Estimate240÷2=
120 Exact Answer
242÷2.2= 110It looks very
reasonable! This step helps see if you got your decimals in the right place.
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PRACTICE!
1250.28
.42
5.124
12.24.19
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MULTIPLYING DECIMALS There is only one difference between
multiplying whole numbers and decimals…
You have to remember to move the decimal once you get the answer!!!
So for your last step, you have to do the DECIMAL DANCE!
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3.456 x 1.3
1) Estimate! 3 • 1 = 3
2) Use your imagination and
pretend the decimals aren’t
there3) Use the standard
multiplication algorithm
4) Count the number of digits
located to the right of the decimal
5) Do the Decimal Dance!
10368 34560+ 44928 44928
.
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LET’S DO A LITTLE PRACTICE
10.47 X .92
65.2 x.245
9.6324
15.974
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WARM-UP Sawyer is saving $6.35 a week to buy
a video game that costs $57.15. How many weeks will he have to save to buy the video game?
Sawyer will have to save for 9 weeks to afford the video
game.
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TUTORIAL http://www.khanacademy.org/math/arith
metic/multiplication-division/long_division/e/division_3