Yesterday’s Homework

1. Any questions?2. Please pass your homework to the front.

• Make sure the correct heading is on your paper.• Is your NAME on your paper?

• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.

What Do Notes Look Like?• Heading

• Date

• Section # and Title

• IWBAT (I will be able to)

• Warm-Up• Notes• You do not have to copy

the text in blue!

• Class Work• Summary

SWBAT: Identify and apply the rules for classifying numbers.

NUMBER SYSTEMS

• Positive numbers• Fractions• Roots• Numbers that

exist

• Negative numbers• Whole numbers• Not roots• Numbers that don’t

exist

RULES:

Complex

Numbers

Number Systems

All Numbe

rs

Real Numbe

rs

Imaginary

Number Systems

√−𝟒√−𝟐

All Numb

ers

Real Numb

ersRation

al Numb

ers

Irrational

Numbers

Non real

Number Systems

√−𝟒√−𝟐

−√𝟐

√𝟐𝝅

All Numb

ers

Real Numb

ersRation

al Numb

ers

Whole Fractions

Irrational

Numbers

Non Real

Number Systems

√−𝟒√−𝟐

−√𝟐

√𝟐𝝅𝟏𝟐−

𝟓𝟕𝟓𝟐

−𝟕𝟑𝟎 , �̇�

-11,50,25

All Numb

ers

Real Numb

ersRation

al Numb

ers

Integers

Whole Numb

ers

Negative

Numbers

Fractions

Irrational

Numbers

Non Real

Number Systems

√−𝟒√−𝟐

−√𝟐

√𝟐𝝅−

𝟓𝟕𝟓𝟐

−𝟕𝟑𝟎 , �̇�

-11,50,25-5 -12

−√𝟗

ComplexNumber

s

Real Number

s

Rational Number

s

Integers

Whole Number

s

Natural Number

sZero

Negative

Numbers

Fractions

Irrational

Numbers

Imaginary

Number Systems

√−𝟒√−𝟐

−√𝟐

√𝟐𝝅−

𝟓𝟕𝟓𝟐

−𝟕𝟑𝟎 , �̇�

-11,50,25-5 -12

−√𝟗121 1√𝟏𝟔𝟖𝟐

0

√𝟎𝟎𝟓

• Natural numbers• Whole numbers • Integers

• Rational numbers

• Irrational numbers

• Real numbers • Non-Real/

Imaginary numbers

• All whole numbers larger than 0

• All natural numbers plus 0• All whole numbers, both

negative & positive• All numbers that can be

written in the form: • Non-recurring, non-

terminating decimals, cannot be written as fraction

• All rational and irrational numbers

• Undefined and square roots of negatives

Number system Defi nition

DEFINITIONS

𝐼ℝ

H

ℚ

ℤ Wℕ

CLASSWORK SIDE:

Classify these numbers as rational or irrational and give your reason.

1. a. 7329 b.

2. a. 0.95832758941… b. 0.5287593593593

3. Which two numbers are irrational? How do you know?

a. b. c.

QUESTIONS

QUESTIONS:

Give an example of a number that would satisfy these rules. 4. a number that is: real, rational, whole, an integer, and natural 5. a number that is: real and irrational 6. a number that is: real, rational, an integer

H

2,5

TICK THE APPROPRIATE BOX

√ √ √√ √ √√ √√ √ √√ √ √ √√ √√ √ √

7. Place the following numbers in the Venn Diagram.

Integers

Counting

numbers

Natural numbers

Counting Numbers

Integers

Rational numbers

Irrational

Real numbers

Non-Real numbers

COMPLEX NUMBER SYSTEM

COMPLEX NUMBER SYSTEM

Pg 11 Guided Practice 1A-1D

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.

• NO WORK = NO CREDIT3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

EXIT SLIP

3 new things you learned today (MUST include at least 2 new vocabulary words, may use drawings)

 2 questions you still have from today 1 thing that you may not understand still

Complete the Ticket Out the Door without talking!!!!!

Talking = time after the bell!

Ticket Out the Door

Put your NAME on the paper.

When finished, turn your paper face DOWN.

Classify each number. Remember to include ALL possibilities.

Ex.

a. -27 b. 45 c. 1/3 d. √28 e. 25i