9-20 Exit Ticket – 3 minutes9-20 Exit Ticket – 3 minutesTypes of NumbersTypes of Numbers

Write on your BR/Exit Slip Sheet. This sheet will Write on your BR/Exit Slip Sheet. This sheet will be collected today.be collected today.

List as many different types of numbers List as many different types of numbers that you can think of. Be ready to share.that you can think of. Be ready to share.

Use the Bell Ringer/Exit Slip Sheet Use the Bell Ringer/Exit Slip Sheet provided.provided.

Pick a role and fill out the rubric on your Pick a role and fill out the rubric on your deskdesk

9-24 Bell Ringer - Reading Quiz 9-24 Bell Ringer - Reading Quiz 1. What is the title of Lesson 0-2?1. What is the title of Lesson 0-2? 2. What is the objective of this 2. What is the objective of this

lesson?lesson? 3. What are the 6 types of numbers 3. What are the 6 types of numbers

discussed in the lesson?discussed in the lesson? 4. How is a natural number different 4. How is a natural number different

from a whole number?from a whole number? 5. Give an example of a natural 5. Give an example of a natural

number?number?

Period 03Period 03 When you are done, look at the When you are done, look at the

group participation rubric taped to group participation rubric taped to one desk in the group. Know your role. one desk in the group. Know your role. The Facilitator should turn this into The Facilitator should turn this into the HW tray at the end of each class.the HW tray at the end of each class.

Take a look at the missing assignment Take a look at the missing assignment sheet. All are due next class. sheet. All are due next class.

Then, take out your math whiz card, Then, take out your math whiz card, book, notebook and put them on your book, notebook and put them on your desk.desk.

Period 4APeriod 4A When you are done, pick a role and When you are done, pick a role and

fill out the rubric on your desk andfill out the rubric on your desk and tape it to the edge of one desk in the tape it to the edge of one desk in the

group. Know your role. The facilitator group. Know your role. The facilitator should turn this into the HW tray at should turn this into the HW tray at the end of each class.the end of each class.

Take a look at the missing assignment Take a look at the missing assignment sheet. All are due next class. sheet. All are due next class.

Then, take out your math whiz card, Then, take out your math whiz card, book and put them on your desk.book and put them on your desk.

Types of NumbersTypes of Numbers

Complete the KWL chart Complete the KWL chart

Topic: Topic: 66 Types of NumbersTypes of Numbers

Natural, Whole, Integers, Rational, Natural, Whole, Integers, Rational, Irrational and Real Irrational and Real

KK – Tell me everything you – Tell me everything you KnowKnow or think you or think you know about these types of numbersknow about these types of numbers

WW – Tell me some things you – Tell me some things you WantWant to know to know about these types of numbersabout these types of numbers

Math PracticesMath Practices

1. Make sense of problems and 1. Make sense of problems and persevere in solving them.persevere in solving them.

6. Attend to Precision6. Attend to Precision

0-2: Real Numbers0-2: Real NumbersObjectives:Objectives:

In this lesson, students will be able toIn this lesson, students will be able to

Classify real numbersClassify real numbers

with at least an 85% accuracy.with at least an 85% accuracy.

Key TermsKey Terms

Natural NumberNatural Number Whole NumberWhole Number IntegerInteger Rational NumberRational Number Irrational NumberIrrational Number Real NumberReal Number

Natural numbers (Natural numbers (NN) – positive ) – positive numbers greater than 0numbers greater than 0

Ex. Ex. 1, 2, 3, 4, …..1, 2, 3, 4, …..

Whole numbers (Whole numbers (WW)– )– Natural Natural numbers including 0numbers including 0

Ex. 0, 1, 2, 3, 4…..Ex. 0, 1, 2, 3, 4…..

How Are Numbers Classified?How Are Numbers Classified?

Integers (Integers (ZZ) – negative and positive ) – negative and positive numbers numbers (Includes natural and whole (Includes natural and whole numbers)numbers)

Ex. …-3, -2, -1, 0, 1, 2, 3, 4…Ex. …-3, -2, -1, 0, 1, 2, 3, 4…

Rational numbers (Rational numbers (QQ)– Numbers that can be )– Numbers that can be written as a fraction a/b.written as a fraction a/b. (Includes natural, whole and integers)

Ex. ¼, ¾, 8/4 and Ex. ¼, ¾, 8/4 and 100100

Fractions can also be decimals that either Fractions can also be decimals that either terminate or repeat.terminate or repeat.

Ex. Terminating decimalEx. Terminating decimal - 0.5 = ½ or - 0.5 = ½ or 0.375 = 3/80.375 = 3/8

Ex. Ex. Repeating decimalRepeating decimal - 0.3333 = 1/3 - 0.3333 = 1/3

or 0.4444 = 4/9 or 0.4444 = 4/9 Irrational numbers (Irrational numbers (II)– Numbers that can’t )– Numbers that can’t be written as a fraction. Decimals do not be written as a fraction. Decimals do not terminate or repeat.terminate or repeat.

Ex. Ex. = 3.1415926536… or 9.56369853 = 3.1415926536… or 9.56369853 or or 2323

All of these types of numbers are called All of these types of numbers are called Real Numbers (R).Real Numbers (R).

Watch VideoWatch Video

Bell Ringer – 4 minutesBell Ringer – 4 minutesClassify these numbers Classify these numbers

Work with 1 partner.Work with 1 partner. a. 8a. 8 b. 3.555555b. 3.555555 c. 0c. 0 d. -10d. -10 e. ½ e. ½ f. f. 6060 g. g. 36 36

Sharing – Class ParticipationSharing – Class Participation a. 8a. 8

Natural, Whole, Integer, and RationalNatural, Whole, Integer, and Rational b. 3.555555b. 3.555555

RationalRational c. 0c. 0

Whole, Integer, and RationalWhole, Integer, and Rational d. -10d. -10

Integer and RationalInteger and Rational e. ½ e. ½

RationalRational f. f. 6060

IrrationalIrrational g. g. 3636

Natural, Whole, Integer, and RationalNatural, Whole, Integer, and Rational

Exit SlipExit Slip Write on your BR/Exit Slip Sheet. This sheet will be Write on your BR/Exit Slip Sheet. This sheet will be

collected next week.collected next week. Write your answer in a complete sentence.Write your answer in a complete sentence.

1. What is an integer?1. What is an integer?

2. What type(s) of number is 5? 2. What type(s) of number is 5?

3. What is the difference between a natural 3. What is the difference between a natural and a whole number?and a whole number?

4. What type of number has a terminating or 4. What type of number has a terminating or repeating decimal?repeating decimal?