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Tuesday, September 21

Tuesday, September 21. Agenda. Bell Work. Fill in planner Practice 4-1 Enrichment 4-1 (E.C.) Bell Work Go over Ch. 1 Test Notetaking WS (Divisibility and Factors) Group Work. Objective: Students will be able to identify factors and use divisibility rules.

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Tuesday, September 21

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  1. Tuesday, September 21 Agenda Bell Work • Fill in planner • Practice 4-1 • Enrichment 4-1 (E.C.) • Bell Work • Go over Ch. 1 Test • Notetaking WS (Divisibility and Factors) • Group Work

  2. Objective: Students will be able to identify factors and use divisibility rules

  3. “Divisible BY”What does it mean?

  4. “Divisible by” means: If you divide one number by another, the result is a whole number WITHOUT a remainder. Examples: 12 ÷ 6 = 2 No remainder 15 ÷ 5 = 3 No remainder

  5. Divisibility Rule 2 A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8. Examples: 78 3470

  6. Now You Try: Which number IS NOT divisible by 2? 572 1464 249 Need More Practice: Numbers Divisible by 2

  7. WONDERFUL

  8. It ends in a 0, 2, 4, 6, or 8.

  9. Divisibility Rule 5 A number is divisible by 5 if it ends in 0 or 5. Examples: 615 ends in a 5 1480 ends on a 0

  10. Now You Try: Which number IS NOT divisible by 5? 9820 779 560 Need More Practice: Numbers Divisible by 5

  11. The number ends in a zero or a five.

  12. Divisibility Rule 10 A number is divisible by 10 if it ends in 0 Examples: 1320 1320 ÷ 10 = 132 100 100 ÷ 10 =10

  13. Now You Try: Which number IS NOT divisible by 10? 560 4101 180

  14. WONDERFUL

  15. The last digit is 0.

  16. numbers end in 0, 2, 4,6, or 8 and are divisible by Even 2

  17. numbers end in 1, 3, 5, 7, or 9 and are not divisible by 2 Odd

  18. Divisibility Rule 3 A number is divisible by three if the sum of the digits is divisible by 3. Examples: 75 7 + 5 = 12 12 ÷ 3 = 4 No Remainder 369 3 +6 + 9 = 18 18 ÷ 3 = 6 No Remainder

  19. Now You Try: Which number IS NOT divisible by 3? 572 1464 279 Need More Practice: Numbers Divisible by 3

  20. The sum is divisible by 3.

  21. WONDERFUL

  22. Divisibility Rule 9 A number is divisible by 9 if the sum of the digits is divisible by 9. Examples: 963 9 + 6 + 3 = 18 18 ÷ 9 = 2 5445 5 + 4 + 4 + 5 =18 18 ÷ 9 =2

  23. Now You Try: Find the number that IS NOT divisible by 9. 9873 630 5541 Need More Practice: Numbers Divisible by 9

  24. The sum of the digits is divisible by 9.

  25. Great Job!!!

  26. Factors One integer is a factor of another integer if it divides that integer with a remainder of zero. Ex. factors of 20 1, 20 2, 10 4,5 The factors of 20 are 1, 2, 4, 5, 10, 20

  27. Examples1) Divisibility by 2, 5, and 10 • 1028 by 2 ; 1028 ends in • 572 by 5 ; 572 doesn’t end in or c) 275 by 10 ; 275 doesn’t end in 8 yes no 5 0 no 0

  28. Examples2) Divisibility by 3 and 9 • 1028 by 3 1+0+2+8=11; 11 is not divisible by • 522 by 9 ; 5+2+2=9; 9 is divisible by no 3 yes 9

  29. Examples3) Using Factors Find pairs of factors of 35 1 x 35 5 x 7 There can be 5 rows of students or 7 rows of students. 7 5

  30. Quick Check • Yes; the last digit is 0 • No; the last digit is not 0 • No; the last digit is not 0, 2, 4, 6, or 8 • Yes; the last digit is 2 • No; the sum of the digits is not divisible by 9 • No; the sum of the digits is not divisible by 3 • Yes; the sum of the digits is divisible by 3 • Yes; the sum of the digits is divisible by 9

  31. Quick Check (2) • 1, 2, 5, 10 • 1, 3, 7, 21 • 1, 2, 3, 4, 6, 8, 12, 24 • 1, 31

  32. Quick Check (3) • There could be 6 rows of 6 students, 4 rows of 9 students or 9 rows of 4 students.

  33. Objective: Students will be able to identify factors and use divisibility rules

  34. Definition • Prime Number – a number that has only two factors, itself and 1. 7 7 is prime because the only numbers that will divide into it evenly are 1 and 7.

  35. Examples of Prime Numbers 2, 3, 5, 7, 11, 13, 17, 19 Special Note: One is not a prime number.

  36. Definition • Composite number – a number that has more than two factors. 8 The factors of 8 are 1, 2, 4, 8

  37. Examples of Composite Numbers 4, 6, 8, 9, 10, 12, 14, 15 Special Note: Every whole number from 2 on is either composite or prime.

  38. Our Lonely 1 It is not prime because it does not have exactly two different factors. It is not composite because it does not have more than 2 factors. Special Note: One is not a prime nor a composite number.

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