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Virginia SOL 4.4 a-d: Computation and Estimation using Multiplication and Division.

Virginia SOL 4.4 a-d: Computation and Estimation using Multiplication and Division. Austin Mitchell http://mrmitchell3.weebly.com mrmitchell3@gmail.com. Important *To advance within the slides click with the mouse or use the arrow keys. By PresenterMedia.com.

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Virginia SOL 4.4 a-d: Computation and Estimation using Multiplication and Division.

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  1. Virginia SOL 4.4 a-d:Computation and Estimation using Multiplication and Division. Austin Mitchell http://mrmitchell3.weebly.com mrmitchell3@gmail.com Important *To advance within the slides click with the mouse or use the arrow keys. By PresenterMedia.com

  2. Table of Content • Goals and Expectations • Key Vocabulary Multiplication Lessons Division Lessons • Basic Multiplication Facts • Multiplication: 2-digit by 2-digit • Practice • Multiplication: 3-digit by 2-digit • Practice • MultiplicationQuiz • Instructional Video • Basic Division Facts • Division 3-digit by 1-digit • Practice • DivisionQuiz Use this page to navigate your way around. Click on a section to be taken to the appropriate area. • Solving Word Problems • Practice • Unit Test • Websites of Interest • Sources *To advance within the slides click with the mouse or use the arrow keys. *This button takes you back a slide

  3. GOALS AND EXPECTATIONS What is expected of you? • Through this PowerPoint you will explore multiplication and division. • You will see step-by-step instructions on how to solve different types of problems , then you will take what you have learned and solve problems of your own. • At the end of each lesson you will have a short quiz for you to show what you know. • At the end of the whole unit you will have an assessment over everything that has been taught. • The overall goal is for you to become more confident in your ability to solve multiplication and division word problems, including multi-step questions. • *Use the printout provided by your teacher to show your work, or it can be found at http://mrmitchell3.weebly.com under the important documents tab.

  4. KEY VOCABULARY Words you willsee Vocabulary Words Dividend Divisor Estimate Factor Product Quotient Remainder *Answers Fill in the blank in your packet, with the correct vocabulary word (use any source available): _________ A whole number that is multiplied with another factor to answer a multiplication problem. _________ The answer to a multiplication problem. _________ The number being divided in a division problem _________ A whole number that divides equally into the dividend _________ The answer to a division problem _________ The amount left over after dividing a number _________ The approximate value you are looking for, usually found by rounding.

  5. Basic Multiplication Practice your basic facts and then answer the following questions Follow this link to work on some flash cards, when you are confident in your abilities come back to this page and answer the following questions in your packet. Multiplication Flash Cards *When you get to the website, click on the level 3 cards. 7 4 3 9 4 5 8 X3x9x3x7x3x8x2 4 3 5 8 10 6 9 X 7x10x7x3x 9x6x2

  6. Multiplication: 2-digit by 2-digit What do I do? This slide will help you to take the basic facts you know and use them to multiply a 2-digit number by a 2-digit number. On your paper you should be following the steps as they reveal themselves so that you get a better understanding. Example 1: 45 x 23 The first thing you need to make sure you do with a multiplication problem written horizontally is to rewrite it vertically, making sure to line up the place values. 45 x23 *To advance within the slides click with the mouse or use the arrow keys.

  7. Multiplication: 2-digit by 2-digit 1 45 x23 5 Step 1: Multiply the ones place of your bottom number by the ones place of your top number. 3 x 5 = 15, Since you cannot put a two-digit number in the ones place you need to place the 5 in the ones place of your product, and carry the 1 above the tens place of the top number. *To advance within the slides click with the mouse or use the arrow keys.

  8. Multiplication: 2-digit by 2-digit 1 45 x23 5 Step 2: Multiply the ones place of the bottom number by the tens place of the top number. If you carried from step one you will add this number AFTER you multiply. 3x4=12 12+1=13 since there is not a number in the hundreds place you will place 13 in your answer slot. 13 *To advance within the slides click with the mouse or use the arrow keys.

  9. Multiplication: 2-digit by 2-digit 1 45 x23 135 0 You have multiplied the ones place of your bottom number by each of the top numbers so you are now going to multiply the TENS place of the bottom number by each of the place values of the top number. Step 3: You will multiply the 2 of the bottom number by the 5 of the top number, however, since you are multiplying by tens you need to place a 0 in ones place of your answer. This is the same as multiplying 20 x 5. I recommend crossing out the numbers you have already used, such as the 1 you carried in step 2, and the ones place of the bottom number. *To advance within the slides click with the mouse or use the arrow keys.

  10. Multiplication: 2-digit by 2-digit 1 0 1 45 x23 135 0 Step 3 continued: You will multiply 2 x 5= 10, but we cannot place a two digit number in one place value. So the 0 goes in the tens place and as in step 1 you need to carry the 1 above the tens place of your top factor. This 1 is different from the one you have already crossed out. *To advance within the slides click with the mouse or use the arrow keys.

  11. Multiplication: 2-digit by 2-digit 1 0 1 45 x23 135 0 9 Step 4: Multiply the tens place of the bottom factor by the tens place of the top factor. If you carried from the previous step you will ADD this number AFTER you multiply. 2 x 4 = 8 8+1 = 9 This number goes in the hundreds place. *To advance within the slides click with the mouse or use the arrow keys.

  12. Multiplication: 2-digit by 2-digit 1 0 1 45 x23 135 0 9 1,035 You have now multiplied 45 x 23 but you are not finished yet. You have two numbers and these numbers need to now be ADDED together to find your total. What this method of multiplication does is break down the problem into 40 x 3, 5 x 3, 20 x 5 and 3 x 5. These numbers need to be added together to get the total. Step 5: Add the two numbers. 135 + 900 *To advance within the slides click with the mouse or use the arrow keys.

  13. Multiplication: 2-digit by 2-digit 1 0 1 45 x23 135 0 9 1,035 Your final answer is 1,035 *To advance within the slides click with the mouse or use the arrow keys.

  14. Instructional Video Steps to multiplying a 2-digit number by a 2-digit number If you are still unsure, you can watch this video for step by step instructions.

  15. Multiplication: 2-digit by 2-digit • Congratulations! • You have completed the tutorial for multiplying 2-digit by 2-digit numbers. • Now take what you know and solve the problems on the next slide in your packet. Make sure to show your work and feel free to use the tutorial to help you find the answers. *To advance within the slides click with the mouse or use the arrow keys.

  16. Multiplication: 2-digit by 2-digit • Practice Problems 37 24 28 63 50 x83x21x45x39x19 *To advance within the slides click with the mouse or use the arrow keys. Click here to go back to beginning of tutorial.

  17. Multiplication: 3-digit by 2-digit What do I do? This slide will help you to take the basic facts you know and use them to multiply a 3-digit number by a 2-digit number. On your paper you should be following the steps as they reveal themselves so that you get a better understanding. Example 1: 312 x 64 The first thing you need to make sure you do with a multiplication problem written horizontally is to rewrite it vertically, making sure to line up the place values. 312 x64 *To advance within the slides click with the mouse or use the arrow keys.

  18. Multiplication: 3-digit by 2-digit 312 x64 When multiplying 3-digit numbers by 2-digit you follow basically the same steps as 2-digit by 2-digit with a couple steps added in. Since these are related I will shorten up the steps to multiplying 3-digit by 2-digit numbers. *To advance within the slides click with the mouse or use the arrow keys.

  19. Multiplication: 3-digit by 2-digit 312 x64 12 4 8 Step 1: Multiply the ones place of the bottom factor by each number in the top factor. Remember to carry when needed and you add AFTER you multiply. 4 x 2 = 8 4 x 1 = 4 4 x 3 = 12 *To advance within the slides click with the mouse or use the arrow keys.

  20. Multiplication: 3-digit by 2-digit 312 x64 12 4 8 0 Step 2: multiply the tens place of the bottom factor by each place value of the top factor. BEFORE you begin to multiply make sure to cross out any numbers you may have carried, and place a 0 in the ones place of your answer. *To advance within the slides click with the mouse or use the arrow keys.

  21. Multiplication: 3-digit by 2-digit 312 x64 1 12 4 8 18 7 2 0 Step 2 continued: 6 x 2 = 12 carry the one 6 x 1 = 6 ADD the 1 you carried 6 + 1 =7 6 x 3 = 18 *To advance within the slides click with the mouse or use the arrow keys.

  22. Multiplication: 3-digit by 2-digit 312 x64 1 12 4 8 18 7 2 0 1 9 9 6 8 Step 3: Add the products together 1,248 + 18,720 *To advance within the slides click with the mouse or use the arrow keys.

  23. Multiplication: 3-digit by 2-digit • Congratulations! • You have completed the tutorial for multiplying 3-digit by 2-digit numbers. • Now take what you know and solve the problems on the next slide in your packet. Make sure to show your work and feel free to use the tutorial to help you find the answers. *To advance within the slides click with the mouse or use the arrow keys.

  24. Multiplication: 3-digit by 2-digit • Practice Problems 123 274 634 572 337 x21x11x52x48x66 *To advance within the slides click with the mouse or use the arrow keys. Click here to go back to beginning of tutorial.

  25. Multiplication Quiz: Answer these problems on the next page of your packet. Page 1 of 2 Try to solve these without looking back at the tutorial. • Jamie bought 25 boxes of chocolates. In each box of chocolates there were 32 chocolates. How many total pieces of chocolate were there? • For his restaurant Brian bought 44 bags of potatoes. In each bag there were 72 potatoes. How many potatoes did Brian buy for his restaurant ? • What is the term given to the whole numbers you multiply together in a multiplication problem? • A factory makes 742 paper clips in 1 hour. At this rate how many paper clips could the factory make in 32 hours? *To advance within the slides click with the mouse or use the arrow keys.

  26. Multiplication Quiz: Answer these problems on the next page of your packet. Page 2 of 2 • A greeting card company prints 342 cards every day. How many cards could this company make in 24 days? • The answer to a multiplication problem is called the________. • A college track team went to a track meet. They took 5 vans and 2 buses. If each van had 7 people in it and each bus had 34 people, how many total people were there? *Before continuing on have the Teacher check your work. *To advance within the slides click with the mouse or use the arrow keys.

  27. Basic Division Practice your basic facts and then answer the following questions Follow this link to work on some flash cards, when you are confident in your abilities come back to this page and answer the following questions in your packet. Division Flash Cards When you get to the website, click on the level 3 cards. 45 / 9 = 32 / 9 = 56 / 7 = 30 / 3 = 12 / 4 = 49 / 7 = 24 / 6 = 35 / 5 = 28 / 3 =

  28. Long Division: 3-digit by 1-digit What do I do? This slide will help you to take the basic facts you know and use them to divide a 3-digit number by a 1-digit number. On your paper you should be following the steps as they reveal themselves so that you get a better understanding. Example 1: 3)475 As with multiplication you need to make sure the problem is written in a certain way. The dividend is 375 and goes inside the division symbol, the divisor is 3 and goes on the left of the division symbol. The quotient will go on the top of the division symbol, make sure your quotient has the same number of digits as your dividend, even if one is a zero. *To advance within the slides click with the mouse or use the arrow keys.

  29. Long Division: 3-digit by 1-digit DMSB The steps to long division follow a pattern of DMSB which is an aconym for Divide Multiply Subtract Bring down. These steps may be difficult to remember so students come up with a mnumonic to remember this. Examples are: • Dead Monkeys Smell Bad • Does Mcdonalds Sell Burgers • Damp Mold Smells Bad • Try and come up with your own, or you can use one of these. *To advance within the slides click with the mouse or use the arrow keys.

  30. Long Division: 3-digit by 1-digit 1 I recommend writing DMSB vertically like this, after each step is completed place a check mark next to the letter. D M S B 3 )475 Step 1: Divide • Divide 3 into the first number of the dividend (4) • How many 3’s will go into 4? • Write the answer directly above the number you are dividing into (4) • 3 goes into 4 only one time *To advance within the slides click with the mouse or use the arrow keys.

  31. Long Division: 3-digit by 1-digit 1 x 3 )475 D M S B 3 Step 2: Multiply • Multiply the divisor by the first number in the quotient (3x1 = 3) • You can put a multiplication sign at the corner of your division symbol to remind you of this step. • Write your answer directly below the first digit in your quotient. *To advance within the slides click with the mouse or use the arrow keys.

  32. Long Division: 3-digit by 1-digit 1 x 3 )475 D M S B 3 Step 3: Subtract • Draw a line under the 9 • Write your subtraction sign • Subtract vertically (4-3=1) • Write your answer 1 *To advance within the slides click with the mouse or use the arrow keys.

  33. Long Division: 3-digit by 1-digit 1 x 3 )475 D M S B 3 Step 4: Bring Down • Go to the next number to the right in your dividend and bring this number down to the answer of your subtraction problem. 1 7 *To advance within the slides click with the mouse or use the arrow keys.

  34. Long Division: 3-digit by 1-digit 1 x 3 )475 D M S B 3 Step 5: Remainder • This new number is your new dividend. If your divisor can still go into your dividend you need to repeat the steps • If not, this is your remainder • 3 can go into 17 so you must repeat the steps. 1 7 *To advance within the slides click with the mouse or use the arrow keys.

  35. Long Division: 3-digit by 1-digit 1 5 x 3 )475 D M S B 3 Step 6: Start back over with division • Divide 17 by 3 • See how many times 3 goes into 17 • 3 goes into 17 five times, so you would place a 5 above the tens place in your quotient. • Do not forget to check off your steps. 1 7 *To advance within the slides click with the mouse or use the arrow keys.

  36. Long Division: 3-digit by 1-digit 1 5 x 3 )475 D M S B 3 Step 7: Multiply • Multiply your divisor by the number you just wrote in the quotient (3 x 5 = 15). • Write the answer (15) directly beneath the number already there (17) 1 7 15 *To advance within the slides click with the mouse or use the arrow keys.

  37. Long Division: 3-digit by 1-digit 1 5 x 3 )475 D M S B 3 Step 8: Subtract • Subtract your two numbers • (17-15 = 2) 1 7 15 02 *To advance within the slides click with the mouse or use the arrow keys.

  38. Long Division: 3-digit by 1-digit 1 5 x 3 )475 D M S B 3 Step 9: Bring Down if possible • Bring down the next number in your dividend, in this case (5) 1 7 15 5 02 *To advance within the slides click with the mouse or use the arrow keys.

  39. Long Division: 3-digit by 1-digit 1 5 x 3 )475 D M S B 3 Step 10: Remainder • If your divisor can divide into this number then you will repeat your division step. • In this case 3 can go into 25 so you will repeat the steps again. 1 7 15 5 02 *To advance within the slides click with the mouse or use the arrow keys.

  40. Long Division: 3-digit by 1-digit 8 1 5 x 3 )475 D M S B 3 Step 11: Divide • 3 goes into 25 eight times, so you would place an 8 in the next place value of your quotient, in this case the ones place. 1 7 15 5 02 *To advance within the slides click with the mouse or use the arrow keys.

  41. Long Division: 3-digit by 1-digit 8 1 5 x 3 )475 D M S B 3 Step 12: Multiply • Multiply your divisor by the most recent number you placed in your quotient. • 3 x 8 = 24 • This number goes beneath 25 so you can complete your next step. 1 7 15 5 02 24 *To advance within the slides click with the mouse or use the arrow keys.

  42. Long Division: 3-digit by 1-digit 8 1 5 x 3 )475 D M S B 3 Step 13: Subtraction • Subtract these two numbers • 25 - 24 = 1 • Write this in the correct spot. 1 7 15 5 02 24 01 *To advance within the slides click with the mouse or use the arrow keys.

  43. Long Division: 3-digit by 1-digit 8 1 5 R 1 x 3 )475 D M S B 3 Step 14: Remainder • Check to see if your divisor can go into this new number. • 3 cannot go into 1 so you are finished. • 1 is what you have left, this is called your remainder, it is written as shown. 1 7 15 5 02 24 01 *To advance within the slides click with the mouse or use the arrow keys.

  44. Long Division: 3-digit by 1-digit 8 1 5 R 1 x 3 )475 D M S B 3 You will notice on your checklist of DMSB that there is one less check mark on B, this is because you may end up with a remainder, and no other numbers to bring down. The answer will be 158 R 1 1 7 15 5 02 24 01 *To advance within the slides click with the mouse or use the arrow keys.

  45. Division : 3-digit by 1-digit • Congratulations! • You have completed the tutorial for dividing 3-digit by 1-digit numbers. • Now take what you know and solve the problems on the next slide in your packet. Make sure to show your work and feel free to use the tutorial to help you find the answers. *To advance within the slides click with the mouse or use the arrow keys.

  46. Division: 3-digit by 1-digit • Practice Problems • 465 3 723 5 382 4 • 634 4 877 8 *To advance within the slides click with the mouse or use the arrow keys. Click here to go back to beginning of tutorial.

  47. Division Quiz: Answer these problems on the next page of your packet. Page 1 of 2 Try to solve these without looking back at the tutorial. • A children’s soccer league wants to order 374 shirts for the teams. If each box holds 9 shirts, how many boxes will they need? • A restaurant needs 472 rolls of toilet paper. If each package has 3 rolls, how many packages would they need? • Your school office needs to order 278 labels for the teachers. If the pack of labels has 6 labels in it, what is the number of packs the school office needs to buy? *To advance within the slides click with the mouse or use the arrow keys.

  48. Division Quiz: Answer these problems on the next page of your packet. Page 2 of 2 Try to solve these without looking back at the tutorial. • The principal wants to get popsicles for his students. If he has to buy 552 popsicles and they come in boxes of 9, how many boxes does he need to buy? • The zookeeper needs to buy 673 fish a month for his penguins. The bags of fish hold 6 fish, how many bags of fish would he need to purchase? • Sam’s brother gave him 56 stickers, his mom gave him 124 stickers and his dad gave him 200 stickers. If Sam was going to split the stamps equally between himself and three closest friends, how many stamps would each child have? *To advance within the slides click with the mouse or use the arrow keys.

  49. Solving Word Problems Instructional for solving word problems • When it comes to solving word problems there are certain items you need to focus on. • What is the question asking you? • What operations are you going to use? • Does the information include the total, or do you need to find the total?

  50. Solving Word Problems Instructional for solving word problems • There is a good website to help you better understand problem solving at http://academic.cuesta.edu/acasupp/as/706.htm • Step 1 says to find what the problem is asking, what does it tell me that is useful and what is the problem implying. • Step 2 asks you to draw a picture representing what the question is asking • Step 3 allows you to make a table to help find the answer

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