1 / 17

RULES

RULES. Classroom Rules No gum/food/drink No cell phone/computer No distracting other people First offense – verbal warning Second offense – 10 minute time out Third offense – eat dinner with adults. Homework Rules Weekly homework. How to count. WB Math Group.

braden
Télécharger la présentation

RULES

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. RULES • Classroom Rules • No gum/food/drink • No cell phone/computer • No distracting other people • First offense – verbal warning • Second offense – 10 minute time out • Third offense – eat dinner with adults • Homework Rules • Weekly homework

  2. How to count WB Math Group

  3. Don’t we know how to count already? • Not Really… • Ancient people could only count to three • But they know how to compare numbers that are larger than three • How to count huge numbers? Can’t use your fingers! • How to count tricky numbers? • Even majority of the adults don’t know how to count certain things

  4. How many people are there? • Warren • ~ 15,000 • Basking Ridge • ~ 21,000 • New Jersey • ~ 9,000,000 (6) • US • ~ 300,000,000 (8) • World • ~ 7,000,000,000 (9)

  5. Some big numbers • Number of Web Pages Google Searches ~ 50,000,000,000 (10) • Number of stars in the Milky Way Galaxy ~ 400 billion 400,000,000,000 (11) • Number of atoms in a drop of water ~ 2,000 billion billions (21) • Number of atoms in the universe 1,000… (80) • Number of Permutations of a 7x7 cube 1,000,…(160)

  6. Now Let’s Dive In!

  7. How to count natural numbers • How many integers are between 1 ~ 100 ? • How many integers are between 1 ~ 100 inclusive? • How many integers are between 1 ~ 100 exclusive? • How many integers are between 1 ~ n inclusive? Natural numbers are positive integers

  8. How to count natural numbers • How many integers are between 234 ~ 1011 inclusive? • How many integers are between 234 ~ 1011 exclusive? • How many integers are between 0 ~ 50 inclusive? • How many integers are between r ~ r + n inclusive?

  9. Deal with negative numbers • How many integers are between -50 ~ 50 inclusive? • How many integers are between -50 ~ -10 inclusive?

  10. Arithmetic sequence An arithmetic (or linear) sequence is a sequence of numbers in which each new term is calculated by adding a constant value to the previous term • 2, 6, 10, 14, 18, 22, … • -5, -3, -1, 1, 3, 5 … • -1, 10, 21, 32, … • 1, 2, 4, 8, 16, …

  11. Arithmetic sequence a little algebra

  12. Arithmetic sequence • How many even numbers are between 2 ~ 200 inclusive? 2, 4, 6, …., 198, 200 • How many integers are in the sequence 3,6,9,…,300? • How many even numbers are between 50 ~ 199 inclusive?

  13. Arithmetic sequence • How many odd numbers are between 1 ~ 101, inclusive? 1, 3, 5, 7, 9, 11, …., 99, 101 1(2x1-1), 3(2x2-1), …, 99(2x50-1), 101(2x51-1) • How many odd numbers are between 3 ~ 123 inclusive? 3(2x2-1), 5(2x3-1), …., 121(2x61-1), 123(2x62-1) 3(2x1+1), 5(2x2+1), …, 121(2x60+1), 123(2x61+1) • How many numbers are in the following sequence: 5, 9, 13, 17, …, 401 ?

  14. geometric sequence A geometric sequence is a sequence of numbers in which each new term (except for the first term) is calculated by multiplying the previous term by a constant value. • 1, 2, 4, 8, 16, 32, 64, 128 • 1, 10, 100, 1000, 10000, • 1, 3, 9, 27, ??, ?? • 2, 3, 5, 9, 17, 33, 65, 129

  15. Geometric sequence

  16. geometric sequence • 1, 2, 4, 8, … 1024 • 3, 6, 12, 24, 48, …, 300 • 64, 32, 16, 8, … ½, ¼ Slightly Trickier … • 4, 5, 7, 11, 19, …, 2051

  17. Some exercises • How many integers are there from 25 to 79 inclusive? • What is the 53rd integer in the sequence 86, 87, 88, …? • The largest of 123 consecutive integers is 307. What is the smallest? • The smallest of r consecutive integers is n, what is the largest integer? • The largest of r consecutive integers is k. what is the smallest? • How many integers are there in the sequence n, n+1, n+2, …, n+r ?

More Related