1 / 50

Welcome to Math 6

Welcome to Math 6. Our subject for today is… Divisibility. To be successful in Math 6, y ou must have a strong grasp of all the skills introduced in Math 5, 4, 3, 2 and 1. The Connector…. So I will frequently discuss concepts that you may already have learned before.

cheyenne-fuentes
Download Presentation

Welcome to Math 6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Welcome to Math 6 Our subject for today is… Divisibility.

  2. To be successful in Math 6, you must have a strong grasp of all the skills introduced in Math 5, 4, 3, 2 and 1. The Connector… So I will frequently discuss concepts that you may already have learned before.

  3. Divisible- means that a number can be divided by another number with no remainder.Example: “6 is divisible by 3” Divisibility- the capacity of being evenly divided, without a remainder. Key vocabulary for this lesson

  4. There are certain rules that we can use to tell if a number is divisible by another number. Divisibility rules

  5. Question:Why review divisibility? Answer: The rules for divisibility are useful in many instances, such as when looking for common factors, finding equivalent fractions, or finding equal ratios.

  6. Objective: Each student will: • State the rules for the divisibility of 2, 3, 5, 6, 9 and 10. • Apply the rules for the divisibility of 2, 3, 5, 6, 9 and 10

  7. During this lesson, I will explore some of the divisibility rules. You probably already know some of these rules. But I’ll begin with the simplest rules.

  8. A number is divisible by: 2 if the digit in the ones place is even. (If it ends in a 2, 4, 6, 8, 0.)

  9. Examples: 3978 Is divisible by 2, Since it’s an even number. 4975 Isnot divisible by 2, since it’s an odd number.

  10. A number is divisible by: 5if it ends with a 5 or a 0.

  11. Examples: These numbers are divisible by 5: 1050 600,875 These numbers arenot divisible by 5: 48,568 2,374

  12. A number is divisible by: 10 Only if it ends with a zero. (If there is a zero in its ones place.)

  13. Examples: 900 is divisible by 10 10,960 is divisible by 10 750 is divisible by 10 49,123,983 is not divisible by 10

  14. Take another look at the last two rules. If a number ends with 5 or 0, it’s divisible by 5. If a number ends with a 0, it’s divisible by 10. So every number that is divisible by 10 must also be divisible by 5.

  15. A number is divisible by: 3 if the sum of the digits is divisible by 3.

  16. Examples: 315is divisible by 3 since 3+1+5=9, and 9 is divisible be 3. 139isnotdivisible by 3 since 1+3+9=13. and 13 is not divisible by 3.

  17. A number is divisible by: 6 If it is divisible by both2and3.

  18. Examples: 330is divisible by 6, 3+3+0=6; and 6isdivisible be 3. AND It is also divisible by 2 since it is even.

  19. Examples: 233is not divisible by 6. 233 is notdivisible by 3 because 2+3+3=8. 8 is not divisible by 3. And it is not divisible by 2 because it is an odd number.

  20. Those are the simplest rulesAll of the other rules are a bit less obvious.Next comes the rulefor 9.

  21. A number is divisible by: 9 When the sum of its digits is a number divisible by 9.

  22. Examples: 3,330is divisible by 9. Since 3+3+3+0=9, and 9isdivisible by 9. That example seems pretty simple. Lets look at another example of this rule.

  23. Examples: 9,315 isdivisible by 9. Since 9+3+1+5=18, and 18isdivisible by 9.

  24. Notice Look at these basic math facts: 9 x 1=9 9 x 2=18 1+8=9 9 x 3=27 2+7=9 9 x 4=36 3+6=9 9 x 5=45 4+5=9 9 x 6=54 5+4=9 Add the digits in the product and you will get 9.

  25. Here’s something pretty interesting… You can take the rule for 9 a step further… For every number divisible by 9, if you keep adding the digits together, you will eventually get a sum of 9.

  26. If you keep adding, You will eventually get a sum of 9. Examples: 9,999 is divisible by 9. 9+9+9+9=36 and 3+6=9 59,238 is divisible by 9. 5+9+2+3+8=27 and 2+7=9. It always works.

  27. Question: What about 4, 7 and 8? Are there divisibility rules for those numbers too? Answer: Yes. But we will cover those in a future lesson. For now, let’s apply the rules we have covered so far.

  28. Guided Practice: Tell whether 610 is divisible: • a. by 2___________________ • b. by 3 __________________ • c. by 5 ____________________ • d. by 6 ____________________

  29. Guided Practice: Tell whether 610 is divisible: • a. by 2Yes, its and even number • b. by 3 __________________ • c. by 5 __________________ • d. by 6 __________________

  30. Guided Practice: Tell whether 610 is divisible: • a. by 2Yes, its and even number • b. by 3 No because 6+1+0=7 (7 is not divisible by 3) • c. by 5 __________________ • d. by 6 __________________

  31. Guided Practice: Tell whether 610 is divisible: • a. by 2Yes, its and even number • b. by 3 No because 6+1+0=7 (7 is not divisible by 3) • c. by 5 Yes because it ends in 0 • d. by 6 __________________

  32. Guided Practice: Tell whether 610 is divisible: • a. by 2Yes, its and even number • b. by 3 No because 6+1+0=7 (7 is not divisible by 3) • c. by 5 Yes because it ends in 0 • d. by 6 No, since it isn’t divisible By 3

  33. Guided Practice: Tell whether 387 is divisible: • e. by 2 ___________________ • f. by 3 ____________________ • g. by 6 ____________________

  34. Guided Practice: Tell whether 387 is divisible: • e. by 2 No. It has a 7 in the ones place (It’s and odd number) • f. by 3 ____________________ • g. by 6 ____________________

  35. Guided Practice: Tell whether 387 is divisible: • e. by 2 No, it has a 7 in the ones place (It’s and odd number) • f. by 3 Yes because 3+8+7=18 which is divisible by 3 • g. by 6 ____________________

  36. Guided Practice: Tell whether 387 is divisible: • e. by 2 No, it has a 7 in the ones place (It’s and odd number) • f. by 3 Yes because 3+8+7=18 which is divisible by 3 • g. by 6 No, because it must be divisible by both 2 and 3

  37. Guided Practice: Tell whether 387 is divisible: • h. by 9 ____________________ • i. by 10 ____________________

  38. Guided Practice: Tell whether 387 is divisible: • h. by 9 Yes because 3+8+7=18 which is divisible by 3 • i. by 10 ___________________

  39. Guided Practice: Tell whether 387 is divisible: • h. by 9 Yes because 3+8+7=18 which is divisible by 3 • i. by 10 No, since it does not have a 0 in the ones place

  40. Independent Practice: Tell whether each number is divisible by 2, 3, 5, 6, 9, and 10. 1. 508 2.17 3. 247 4. 189 Make a chart as seen on the next slide…

  41. Write yes or no in each box

  42. Independent Practice Answers

  43. Conclusion: Divisibility rules of whole numbers are useful because they help us to determine quickly if a number can be divided without doing long division.

  44. Assignment 1 Make up your own divisibility table like the one we used during the Independent Practice. (You can use the blank table on the next slide.) Let someone else try to complete the table.

  45. Write yes or no in each box

  46. Assignment- 2 Tell whether the statement is true or false. Explain your answers. a. All even numbers are divisible by 2. b. All odd numbers are divisible by 3. c. All even numbers are divisible by 5

  47. Assignment 3 Complete the exercise on the next slide “Divisibility for 3, 6 and 9. (A)”

  48. Assignments-

  49. Final thought… Learning new things in Math, as in any subject, can sometimes take lots of practice. But you will eventually succeed if you have patience. Some things will come easily, some things may not. You definitely will need persistence along the way.

  50. I hope you enjoyed the lesson today. Look back over it many times so you can master the points we covered. Also:besureto completeallofthe assignments. See you next time.

More Related