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Oh yeah we’ve got this! 1) 2) 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! MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. How is multiplication related to division? BrainPop Video http://www.brainpop.com/math/numbersandop erations/multiplication/ So now let’s move it up to a 6th grade level! Step 1: Multiply 625 4 625 x34 2500 Solution: 21,250 Problem: 625 34 Step 2: Multiply 625 30 625 x34 2500 18750 Step 3: Add 2500 + 18750 625 x34 2500 +18750 21250 Step 1: Multiply 492 8 492 x28 3936 Solution: 13,776 Problem: 492 28 Step 2: Multiply 492 20 492 x28 3936 9840 Step 3: Add 3936 + 9840 492 x28 3936 +9840 13776 523 x41 Solution: 21,443 645 x16 Solution: 10,320 Find the product! 4234 x23 Solution: 97,382 2198 x35 Solution: 76,930 MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. Please pick up all 3 papers on the warm-up table. Then, find the quotient of the following two problems. 5 425 Solution: 85 3 522 Solution: 174 Algorithm a specific set of instructions for carrying out a procedure or solving a problem Method, procedure, technique Now you can sound super smart! :) http://learnzillion.com/lessons/1678-divide- 4digit-numbers-by-2digit-numbers-using-longdivision-no-remainder 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! 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. 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? 42 3654 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!) 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 87 42 3654 -336 294 -294 Strategy: Guess and Check 42 • 5 = 210 (way too small) 42 • 7 = 294 (Perfect!) 0 Complete Answer You can put 87 boxes of Girl Scout cookies in each cardboard box. 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? Instead of using a R remainder, just keep dividing and form a decimal. 5 R3 5 28 -25 3 5.6 5 28.0 -25 30 -30 0 THEN NOW Strategy: Guess and Check 16 • 2 = 32 16 • 3 = 48 Strategy: Guess and Check 16 • 9 = 144 16 • 8 = 128 28.2 5 16 452.0 0 -32 132 -128 40 -32 80 -80 0 Strategy: Guess and Check 16 • 5 = 80 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? Each student in the class would pay $21.25. 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. Find the quotient! 41 87248 Solution: 2,128 24 2328 Solution: 97 Sarah’s annual salary is $65,013. If she works all 52 weeks of the year, how much is she paid each week? Sarah makes $1250.25 per 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? The plane flies at 425 miles per hour. 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. 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. The key is ESTIMATION!!! Estimation helps you make sure that your answer makes sense. 242÷2.2= ? Now 240÷2= 120 make sure that your answer is reasonably close to the estimation. 1) You cannot have any decimals on the outside of the division sign, so you have to move the decimal. 2.2 242 0 Move the decimal until it is a whole number! Place a 0 in each place value where you moved the decimal Then move the decimal the same amount of spaces on the number under the division sign. 2) Use the standard division algorithm. 110 22 2420 -22 22 -22 00 -0 0 3) Check and make sure your answer is reasonable. 12 50.28 .42 5.124 4.19 12.2 There is only one difference between multiplying whole numbers and decimals… 1) Estimate! 3 • 1 = 3 3.456 x 1.3 10368 +34560 44928 44928 . 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! 10.47 X .92 9.6324 65.2 x.245 15.974 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. http://www.khanacademy.org/math/arithme tic/multiplicationdivision/long_division/e/division_3