The document contains notes from a math class discussing divisibility, prime and composite numbers, and using manipulatives like snap cubes to explore arrays and the Sieve of Eratosthenes method to determine prime numbers. Key topics covered include defining divisibility, rules of divisibility, finding missing digits in numbers to make them divisible by given factors, exploring prime and composite numbers using snap cubes, and determining which of two given numbers is prime and why.

2. Grab a warm up sheet from me

4. Joke of the Day What did the pencil say to the other pencil? “You’re looking sharp”

5. What to Expect an Accelerated Math Syllabus must be signed by Friday!

6. Question of the Day How can we describe the differences in today’s two warm up numbers?

7. By the end of the day….. 1,407 or 2,303 Which one is primeand why

8. What is divisibility?!?! Example 1: Let’s say….3 brothers bought a pack of 24 baseball cards to share. Can they each get the same number of cards? How do you know? Example 2: Five friends decide to order a pizza. If the pizza is cut into 8 slices. will they each be able to get the same number of slices without any pizza left over?How do you know?

9. Table of Contents Date: 8/10 Section 4-1 Title: Divisibility, Prime, & Composite Page: 1 - 4

10. Vocab word #1 DIVISIBILITY How would you Define it? Ms. Evans: a number is divisible by another if you can divide it and the quotient is a whole number

11. Rules of Divisibility

12. You try! Tell whether 462 is divisible by 2, 3, 4, and 5 The last digit, 2, is even. Divisible The sum of the digits is 4 + 6 + 2 = 12. 12 is divisible by 3. Divisible Not divisible The last two digits form the number 62. 62 is not divisible by 4. Not divisible The last digit is 2. So 462 is divisible by 2 and 3.

13. You try! Tell whether 540 is divisible by 6, 9, and 10 The number is divisible by both 2 and 3. Divisible The sum of the digits is 5 + 4 + 0 = 9. 9 is divisible by 9. Divisible The last digit is 0. Divisible So 540 is divisible by 6, 9, and 10

14. Finding the Missing Digit Create a number that is divisible by 2 AND 5 32,07__ Create a number that is divisible by 4 and 6 26,95____ Create a number that is divisible by 8 and 9 123,98______ Work on this with your groups. When you think you have the answers raise your hand & then help others around you 

15. Snap Cube Discovery page 2 At your tables you will find snap cubes, please be respectful of these fun math manipulatives! Each person will complete the table on the back Let’s do 1 and 2 together!

16. Discussion For which numbers can you make only one array? These are ourprime For instance, 3 is prime since only one array can be made For which numbers can you make more than 1 array? These are our composite For instance, 4 is composite since more than one array can be made.

17. What about 1 and 2?? 1 is it prime or composite? 2 is it prime or composite?

18. Sieve of Erathosthenes page 3 Complete When done raise your hand! Help others around you 

19. Can you answer this now? 1,407 or 2,303 Which one is prime? How do you know?