1. Numbers

A) WHOLE NUMBERS

OBJECTIVES: know and use the concept of factor, multiple, common factor, lowest common multiple, prime and composite numbers

FACTORS

A number may be made by multiplying two or more other numbers together. The numbers that are multiplied together are called factors of the final number. All numbers have a factor of one since one multiplied by any number equals that number. All numbers can be divided by themselves to produce the number one. Therefore, we normally ignore one and the number itself as useful factors.
The number fifteen can be divided into two factors which are three and five.
The number twelve could be divided into two factors which are 6 and 2. Six could be divided into two further factors of 2 and 3. Therefore the factors of twelve are 2, 2, and 3.
If twelve was first divided into the factors 3 and 4, the four could be divided into factors of 2 and 2. Therefore the factors of twelve are still 2, 2, and 3.

There are several clues to help determine factors.
Any even number has a factor of two
Any number ending in 5 has a factor of five
Any number above 0 that ends with 0 (such as 10, 30, 1200) has factors of two and five.
To determine factors see if one of the above rules apply (ends in 5, 0 or an even number). If none of the rules apply, there still may be factors of 3 or 7 or some other number.

LESSONS

•  Factors and Primes

Divisibility Rules

Easily test if one number can be evenly divided by another

Divisible By:
"Divisible By" means "when you divide one number by another the result is a whole number"

Examples:
14 is divisible by 7, because 14÷7 = 2 exactly

But 15 is not divisible by 7, because 15÷7 = 2 1/7 (i.e., the result is not a whole number)
"Divisible by" and "can be evenly divided by" mean the same thing

LESSONS

• apply the rules of divisibility of 2, 3 and 5

 Multiples of numbers smaller than 10

Multiply and Divide Whole Numbers

Distributive Property
The Distributive Property states that when you multiply the sum of two or more addends by a factor, the product is the same as if you multiplied each addend by the factor and then added the partial products. The Distributive Property is illustrated below graphically, arithmetically, and algebraically. At this time, students do not need to know the algebraic explanation of the Distributive Property.

LESSONS

• Multiply and Divide Whole Numbers

 Exponential Notation

This lesson is foundation for the topic of properties of integer exponents. For the first time in this lesson, students are seeing the use of exponents with negative valued bases. It is important that students explore and understand the importance of parentheses in such cases, just as with rational base values. It may also be the first time that students are seeing the notation (dots and braces) used in this lesson. If students have already mastered the skills in this lesson, it is optional to move forward and begin with Lesson 2 or provide opportunities for students to explore how to rewrite expressions in a different base, 4 2 as 2 4 , for example. 

LESSONS

• Exponential Notation

Generate common whole number sequences, including oddand even numbers, prime numbers, multiples, square numbersand cube numbers.

LESSONS

• Multiples, factors and powers

Assessments

1.Whole Numbers questions
2.This is worksheet on whole numbers.
3.Exponential Notation
4.Paper from columbus high school, (Scientific Notation)

Shirts

Shirt is the clothing line that people wear when they want to go in formal occasion. The shirt for men and women are different. If you look at the men’s shirt, you will see that it has the button on the right side. The women’s shirt is equipped with the button on the left side.

longest name

The largest name in the world is Adolph Blaine Charles David Earl Frederick Gerald Hubert Irvin John Kenneth Lloyd Martin

We can never truly measure the circumference or the area of a circle because we can never truly know the value of pi. Pi is an irrational number, meaning its digits go on forever in a seemingly random sequence.

Romans thought that not owning slaves was a sign of extreme poverty. Many people would take three slaves with them just to go to the baths.

FACT ON ROMANS

Romans thought that not owning slaves was a sign of extreme poverty. Many people would take three slaves with them just to go to the baths.