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.

1. Wednesday, August 10thTurn in Einstein of the Month on the top bin

2. Grab a warm up sheet from me

3. Write down HOMEWORKWarm UpWrite each number as a product of two whole numbers in as many ways as possible.1. 24 2. 7

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

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

6. Question of the DayHow 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 ofslices without any pizza left over?How do you know?

9. Table of ContentsDate: 8/10Section 4-1Title: Divisibility, Prime, & CompositePage: 1 - 4

10. Vocab word #1 DIVISIBILITYHow 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 5The last digit, 2, is even.DivisibleThe sum of the digits is 4 + 6 + 2 = 12. 12 is divisible by 3.DivisibleNot divisibleThe last two digits form the number 62. 62 is not divisible by 4.Not divisibleThe last digit is 2.So 462 is divisible by 2 and 3.

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

14. Finding the Missing DigitCreate 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 9123,98______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 2At your tables you will find snap cubes, please be respectful of these fun math manipulatives! Each person will complete the table on the backLet’s do 1 and 2 together!

16. DiscussionFor which numbers can youmake only one array? These are ourprimeFor instance, 3 is prime since only one array can be made For which numbers can youmake more than 1 array? These are our compositeFor instance, 4 is compositesince 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 3CompleteWhen 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?