# Chapter 3 Test Advanced Math

Course 2 Chapter 3: integers; absolute value; adding, subtracting, multiplying, dividing integers

# Variables and Expressions

Want to know more about algebra, check out the mathisfun site.

Help with the homework, see example problems:
Class Notes Example Problems for C1 L6 Variables and Expressions

Variables and Expressions You Tube link for following video. Thank you Mrs. Griffin at www.nutshellmath.com

This video is a good introduction to algebra, but it goes far beyond this lesson. No need to purchase the full lesson.

# Homework August 31 2009

Note: Period 1 and 7: MUST HAVE BOOK for homeroom and dismissal silent reading. This counts as a grade.
Period 1: No homework.
Period 2: No homework
Period 4: Finish Sieve of Eratosthenes (look under divisibility pattern post for directions)
Period 5: Practice Skills workbook 5-1
Period 6: Practice Skills workbook 1-2 #27 to 29 odd only.
Period 7: Finish Sieve of Eratosthenes (look under divisibility pattern post for directions)

# Prime Factorization Course 1 Chapter 1 Lesson 3 Course 2 Chapter 5 Lesson 1

Class Notes:

Class Handouts:

Use this hundreds chart worksheet to solve the Sieve of Eratosthenes Credit: This worksheet was obtained from themathworksheetsite.com

Prime Numbers

How can I tell if a number is prime?
Solve the Sieve of Eratosthenes:

Directions:
1. Use the hundreds worksheet with numbers from 1 to 100.
2. Use a highlighter to color in the number 1. It is NOT a prime number.
3. The number 2 is a prime number. Only 2 x 1 = 2.
Do NOT highlight the number 2.
4. Color in with a highlighter ALL of the multiples of 2. Remember Do NOT highlight 2. Begin with 4, 6, 8, 10, etc. To find these numbers skip count by 2.
5. DO NOT highlight the number 3. 3 is a prime number. ONLY 3 x 1 = 3.
6. Color in with a highlighter ALL of the multiples of 3 or every third number after three. 6, 9, 12, 15, 18, etc.
7. DO NOT highlight the number 5. 5 is a prime number. ONLY 5 x 1 = 5.
8. Color in with a highlighter ALL of the multiples of 5 beginning with the number 10, 15, 20, 25, etc.
9. DO NOT highlight 7.
10. Color in with a highlighter ALL of the multiples of 7 beginning with the number 14, 21, 28, etc.
IF you have highlighted your worksheet correctly, all of the non-highlighted numbers are prime numbers. All of the highlighted numbers are composite numbers.

You can check to see if your worksheet is correct at the end of this blog post.

Prime Numbers, Composite Numbers, Neither Prime nor Composite numbers:

Here is a slideshow presentation that helps explain how to tell if a number is prime or composite.

Prime Factorization

How to find the prime factors of a number (called prime factorization)

TEACHERS: This site has a great bulletin board for prime factorization called Mt. Factor:
Math work stations/bulletin board ideas
http://faculty.kutztown.edu/schaeffe/BulletinBoards/bbs.html
Great upper-level math bulletin board ideas each with purposeful, engaging content; interactivity; and accessibility. Could be used for math work stations as well.

Check this handout to see if you solved the Sieve of Eratosthenes correctly. Prime Numbers 100s chart (numbers 1-100-prime numbers highlighted; composite numbers NOT highlighted) Prime numbers 100s chart .jpg

Factor Tree Game at www.mathgoodies.com

Prime Factorization Calculator at www.mrnussbaum.com

# Divisibility Patterns Course 1 Chapter 1 Lesson 2

Glencoe Mathematics Applcations and Concepts: Florida Edition Course 1 p.10-13; Course 2 p. 554; Pre-Algebra 4.1 p.148-152

Knowing these tricks for deciding whether a number can be divided by another number (factor) or not will help you when we do factoring and need to find the least common multiple (LCM) and greatest common factor (GCF) of two or more numbers.

Class Handouts:

Another version with rules from 0 to 12 with an accompanying worksheet.
Divisibility Rules 1 -12 Plus Worksheet

This PowerPoint shows the divisibility rules for numbers from 1 to 10:

Can I divide this number by that number

This cartoon is fun to watch! It shows the rule for seeing if a number can be evenly divided by 11. Something you don’t have on your sheet!

Remember, start by subtracting the first digit from the second. It’s kind of like the rule for the 3 and the 9, only it goes – + – +

This video shows how to use all of the divisibility rules from 2 to 10! It’s really good.

Another video that shows divisibility rules 2, 3, 4, 5, 6, and 9.

This video shows a teacher explaining how to use the rules for 3 and for 9.

This video shows a teacher explaining how to use the divisibility rule for 6. I think you’ll like it:

Is a number divisible by 10?

# Homework Tuesday Aug 25 2009

All periods: 1-1 both workbooks.
1-1 Stands for chapter number-lesson number listed at the top left hand corner of a workbook page.
1st and 7th periods: A book for silent reading during homeroom and dismissal.