MULTIPLICATION AND DIVISION

Oh yeah we’ve got this!

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!

STANDARD AND ESSENTIAL QUESTION

MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm.

How is multiplication related to division?

MULTIPLICATION BASICS BrainPop Video

http://www.brainpop.com/math/numbersandoperations/multiplication/

So now let’s move it up to a 6th grade level!

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

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

LET’S PRACTICE!

523 x41

645 x16

Solution: 21,443

Solution: 10,320

MULTIPLICATION AROUND THE WORLD

WARM-UP Find the product!

4234

x23

2198

x35Solution:

97,382Solution:

76,930

STANDARD AND ESSENTIAL QUESTION

MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm.

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.

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! :)

LEARNZILLION VIDEO http://learnzillion.com/lessons/1678-divi

de-4digit-numbers-by-2digit-numbers-using-long-division-no-remainder

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!

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.

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?

423654

Step 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!)

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

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?

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

5.0

0

.6

-300

THEN NOW

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

0

0

.25

Strategy: Guess and

Check16 • 5 = 80

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.

WARM-UP Find the quotient!

41 87248 24 2328

Solution: 2,128

Solution: 97

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.

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.

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.

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.

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

2) Use the standard division algorithm.

222420-22

1

2

01

2-22

00

0- 0

3) Check and make sure your answer is reasonable.

Estimate

240÷2=

120 Exact Answer

242÷2.2= 110

It looks very

reasonable!This step helps see

if you got your decimals in the

right place.

PRACTICE!

1250.28

.42

5.124

12.24.19

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!

3.456 x 1.3

1) Estimate! 3 • 1 = 3

2) Use your imagination and

pretend the decimals aren’t

there

3) 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.

LET’S DO A LITTLE PRACTICE

10.47 X .92

65.2 x.245

9.6324

15.974

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.

TUTORIAL http://www.khanacademy.org/math/arith

metic/multiplication-division/long_division/e/division_3