Common Core Algebra Unit 1: The Real Number System 9/14/16Lesson 2: Classifying NumbersObjective: SWBAT classify numbers by identifying and defining which real number subsets a number belongs to. (8.NS.1)Do Now: Group the pictures below into two categories. Explain your reasoning on the lines below.

________________________________________________________________________________________________________________________

__________________________________________________________________________________________

Group Task:In your envelopes you are going to classify the numbers based on shared characteristics.

Discussion Points: Explain your reasoning for your groups on the lines below. Is there only one correct

classification?

________________________________________________________________________________________________________________________

__________________________________________________________________________________________

_______________________________________________________________________________________________________________________

Brainstorm: Write down all the types of numbers that you know in the box below.

Subset:

RATIONAL NUMBERS

INTEGERS

WHOLE NUMBERS

COUNTING/NAUTRAL NUMBERS

IRRATIONAL NUMBERS

Model Example: Classifying Numbers

Identify which subsets the following numbers belong to.

a) 1218 b) √25 c) 0 . 1234543456

Check for Understanding:

Identify the all the subsets each number belongs to.

1. -8

2. √2

3. -51.1

4. 22.4242

5. -4/7

6. √4

7. 42/6

8. 1/3

Early Finisher Challenge:

Problem Set:1. Tell whether the given statement is true or false. If false, explain why.

All irrational numbers are real numbers: True or False Explanation:

All rational numbers are whole numbers: True or False Explanation:

The 3√−8is an irrational number: True or False Explanation:

2. Are the following numbers part of the real number system? Justify your response.

a. −√8b. √−8

3. Write all names that apply to each real number.

Irrational, Rational, Integer, Whole, Natural

Name_________________________ Exit SlipCommon Core Algebra Unit 1: The Real Number System 9/14/16Lesson 2: Classifying NumbersObjective: SWBAT classify numbers by identifying and defining which real number subsets a number belongs to. (8.NS.1)

What is the best sequence of words that describes the set of numbers listed below?

(1) rational,integer,irrational,irrational,natural (2) rational, irrational, rational, irrational, whole (3) rational, real, rational, real, natural(4) real, integer, rational, rational, natural

Name_________________________ Exit SlipCommon Core Algebra Unit 1: The Real Number System 9/14/16Lesson 2: Classifying NumbersObjective: SWBAT classify numbers by identifying and defining which real number subsets a number belongs to. (8.NS.1)

What is the best sequence of words that describes the set of numbers listed below?

(1) rational,integer,irrational,irrational,natural (2) rational, irrational, rational, irrational, whole (3) rational, real, rational, real, natural(4) real, integer, rational, rational, natural

Class Project:Brainstorm your own drawing to represent the different number systems within the set of REAL NUMBERS.

a) For homework, transfer your visual representation on to poster board or loose leaf paper and decorate your representation.

b) On the back of the poster, write a 2-3 sentences explaining the picture and how it relates to the Real Number Subsets.

Below is a Model Sample. You may not use the same example!!

SPORTS is a big category that corresponds to Real Numbers.MAJOR LEAGUE BASEBALL is a subset of SPORTS, so it corresponds to Rational Numbers.THE YANKEES is a subset of MAJOR LEAGUE BASEBALL, so it corresponds to Integers.YANKEE INFIELDERS is a subset of THE YANKEES, so it corresponds to Whole Numbers.JETER is a subset of YANKEE INFIELDERS, so he corresponds to Counting Numbers.