Tuesday, September 18th

Enter Quietly!DO Now on Page 23-24 of you notebook!

Convert the following to decimals!1) 5/112) 22/73) 4/54) 4 5/12 Do they repeat? Terminate? Neither?

Review from Unit 1: 5) What is angle 1?

Today’s Standard

• MCC8.NS.1 Understand informally that every number has a decimal expansion; the rational numbers are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are called irrational (non-terminating and non-repeating decimals).

EQ and Today’s Goal

• EQ: How do I distinguish between rational and irrational numbers?

• Today we are learning how to distinguish between rational and irrational numbers and will practice sorting numbers in to these two categories.

REAL NUMBERS

Rational & Irrational Numbers

There are Two Types of People….

NORMAL….

AND……

RATCHET!!!!!!!

What is the difference between the two types of

people?

Two Kinds of Real Numbers

• Rational Numbers

• Irrational Numbers

Rational and Irrational Numbers

What’s the difference?

Rational Numbers

• A rational number is a number that can be expressed as a fraction or ratio (rational).

• When the fraction is divided out, it becomes a terminating or repeating decimal.

Rational NumbersNice numbers.

1.    = 0.1

2.  7  = 7.0 or 7/1

3. -5.9 =

Rational: -6,-1/2, 0, 2/3…

Integers: …-2,-1,0,1,2..

Whole: 0,1,2,…

Natural: 1,2,3,….

10

1

Examples of Rational Numbers

•16•1/2•3.56

•-8•1.3333…

•- 3/4

Irrational NumbersAn irrational number is not expressed as a

fraction. As decimals, irrational numbers do not repeat in a pattern or terminate. 

= 3.141592654…..

= 1.414213562…..

OR = 3.25225222522225…

2

Naughty Numbers

Closing

• Each student will be given a number on an index card.

• Students will determine whether their number is rational or irrational. Students will stand up and go to the side of the class (predetermined by teacher) that is labeled rational or irrational.

• Class discussion on why students think that their number is rational or irrational.