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Multiplication and Division

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!.

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Multiplication and Division

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  1. Multiplication and Division Oh yeah we’ve got this!

  2. 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!

  3. Standard and essential question • MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. How is multiplication related to division?

  4. Multiplication Basics • BrainPop Video • http://www.brainpop.com/math/numbersandoperations/multiplication/ So now let’s move it up to a 6th grade level!

  5. Multiplication Problem: 625  34 Step 1: Multiply 625  4 Step 2: Multiply 625  30 625 x34 Step 3: Add 2500 + 18750 625 x34 2500 2500 625 x34 2500 18750 +18750 Solution: 21,250 21250

  6. Multiplication Problem: 492  28 Step 1: Multiply 492  8 Step 2: Multiply 492 20 492 x28 Step 3: Add 3936 + 9840 492 x28 3936 3936 492 x28 3936 9840 +9840 Solution: 13,776 13776

  7. Let’s practice! 645 x16 523 x41 Solution: 10,320 Solution: 21,443

  8. Multiplication around the world

  9. Warm-up • Find the product! 4234 x23 2198 x35 Solution: 97,382 Solution: 76,930

  10. Standard and essential question • MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm.

  11. Warm-UP Please pick up all 3 papers on the warm-up table. Then, find the quotient of the following two problems. 425 522 5 3 Solution: 85 Solution: 174

  12. 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! :)

  13. Learnzillion video • http://learnzillion.com/lessons/1678-divide-4digit-numbers-by-2digit-numbers-using-long-division-no-remainder

  14. So what’s the most important info? • In long division, there are three steps that you keep doing until you reach your goal! Divide Bring it Down Multiply Subtract Zero after subtraction and no number to bring down!

  15. Long division • Think of it as an 18-wheeler truck. In the back are all of your supplies that haven’t been placed in boxes yet. You are the driver and know how many boxes the company needs delivered.

  16. 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? 3654 42 Strategy: Guess and Check 42 • 5 = 210 (way too small) 42 • 9 = 378 (over!) 42 • 8 = 336 (Oh YEAH!) Step one: How many times does 42 go into 365? (Divide)

  17. Step three: Subtract 336 from 365. Step two: Place the 8 above the final place value of the 365. Multiply 8 and 42 to get 336. Step four: Bring down the 4 8 7 -336 29 4 42 -294 3654 0 Strategy: Guess and Check 42 • 5 = 210 (way too small) 42 • 7 = 294 (Perfect!) Complete Answer You can put 87 boxes of Girl Scout cookies in each cardboard box.

  18. 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?

  19. Say goodbye to (R) remainders • Instead of using a R remainder, just keep dividing and form a decimal. 5 R3 5 .6 .0 -25 -25 28 28 5 5 3 0 3 -30 0 THEN NOW

  20. Let’s practice 5 .2 8 2 .0 0 Strategy: Guess and Check 16 • 2 = 32 16 • 3 = 48 -32 13 2 -128 Strategy: Guess and Check 16 • 9 = 144 16 • 8 = 128 16 452 Strategy: Guess and Check 16 • 5 = 80 0 4 -32 8 0 -80 0

  21. 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 roommate would have to pay $624.75. Each student in the class would pay $21.25.

  22. Warm-up • Find the quotient! 87248 2328 41 24 Solution: 2,128 Solution: 97

  23. 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.

  24. 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.

  25. 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.

  26. Key to multiplying and dividing decimals • The key is ESTIMATION!!! • Estimation helps you make sure that your answer makes sense. 240÷2= 120 242÷2.2= ? • Now make sure that your answer is reasonably close to the estimation.

  27. How to divide with decimals • You cannot have any decimals on the outside of the division sign, so you have to move the decimal. Place a 0 in each place value where you moved the decimal 0 242 2.2 Then move the decimal the same amount of spaces on the number under the division sign. Move the decimal until it is a whole number!

  28. 1 1 0 2) Use the standard division algorithm. -22 2 2 -22 2420 22 0 0 -0 0

  29. 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.

  30. Practice! 50.28 12 .42 5.124 4.19 12.2

  31. 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!

  32. 2) Use your imagination and pretend the decimals aren’t there 1) Estimate! 3 • 1 = 3 3.456 x 1.3 3) Use the standard multiplication algorithm 10368 3456 0 + 4) Count the number of digits located to the right of the decimal 44928 44928 5) Do the Decimal Dance! .

  33. Let’s do a little practice 10.47 X .92 65.2 x.245 9.6324 15.974

  34. 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.

  35. Tutorial • http://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/e/division_3

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