1. Classifying Numbers

2. Types of trees REAL, FAKE, PALM, PINE, FRUIT, WOODEN Plastic Christmas tree: ____________ ____________ Fake Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number? Pine

3. Types of trees REAL, FAKE, PALM, PINE, FRUIT, WOODEN Tree common in Hawaii: _____ _______ _________ Real Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number? PalmWooden

4. Types of trees REAL, FAKE, PALM, PINE, FRUIT, WOODEN Apple tree: ____________ ____________ __________ Real Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number? FruitWooden

5. Vocabulary – Shoot For The Stars 30 seconds I got this! I know this word AND I could even teach it to somebody else. I think I know this word, but I need more practice. I am clueless! I have no idea what this word means. Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number?

6. Vocabulary – Abbreviate when you can. Real #: ________________________________________________ Rational #: ____________________________________________ Irrational #: ____________________________________________ Counting #: ____________________________________________ Whole #: ______________________________________________ Integer #: ______________________________________________ Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number? Almost every number is Real. Not until H.S. will a # not be real. Any number that can be expressed as a fraction; written as a decimal, it either ends OR repeats itself. Any number that cannot be expressed as a fraction; written as a decimal, it goes on forever AND never repeats. Any number used for counting things… 1, 2, 3, 4… All counting numbers PLUS the number zero… 0, 1, 2, 3, 4… All positive whole numbers PLUS the number zero PLUS all negative whole numbers… …, -3, -2, -1, 0, 1, 2, 3, 4….

7. Commercial Break Quote of the Day: “You have brains in your head. You have feet in your shoes. You can steer yourself any direction you choose. You’re on your own. And you know what you know. And YOU are the one who’ll decide where to go…” – Dr. Seuss Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number?

8. Practice Sentence Frames ______ is a rational number, but ______ is an irrational number. ______ is a rational number, but _____________________ is an irrational number. ______ is a rational number, but ______ is an irrational number. Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number? 23 3.168229016317734…

9. Important Notes The decimal form of a rational # always ______ OR ________. The decimal form of irrational # never ______ AND never ____________. The square________ of a perfect _________ is ___________. The square ________ of a NON perfect __________ is ____________. Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number? endsrepeats endsrepeats rootsquarerational rootsquareirrational 7, 10, 18 4, 16, 49

10. Quickwrite IN YOUR OWN WORDS, WRITE A COMPLETE SENTENCE THAT DESCRIBES WHY THE NUMBER PI IS AN IRRATIONAL NUMBER. Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number?

11. Modeling – Thinking Map Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number? All numbers are REAL NUMBERS All numbers are REAL NUMBERS Irrational Rational Pi, 2.35231…, square root of 22 Pi, 2.35231…, square root of 22 Counting Whole Integer 1,2,3.. 0,1,2.. -1,0,1

12. THINK / PAIR / SHARE Step 1 – Spend 20 seconds thinking silently. Step 1 – Spend 20 seconds thinking silently. Come up with your own example of a rational # and irrational #. Step 2 – Spend 30 seconds pairing up with your learning partner filling in the sentence… “_____ is a rational #, but _____ is irrational because the decimal form of _____ ends or repeats; while the decimal form of ____ never ends and never repeats.” Step 3 – Volunteer to share your answer with the class… Volunteers will receive a Goodybuck. Essential Question (EQ): How is the process of classifying trees and the process of classifying numbers similar? What is the difference between a rational number and an irrational number?