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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? Types of trees REAL, FAKE, PALM, PINE, FRUIT, WOODEN Fake Pine Plastic Christmas tree: ____________ ____________ 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? Types of trees REAL, FAKE, PALM, PINE, FRUIT, WOODEN Palm 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? Types of trees REAL, FAKE, PALM, PINE, FRUIT, WOODEN Fruit Wooden Real Apple tree: ____________ ____________ __________ 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? 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? Vocabulary – Abbreviate when you can. Almost every number is Real. Not until H.S. will a # not be real. Real #: ________________________________________________ Any number that can be expressed as a fraction; written as a decimal, it either ends OR repeats itself. ____________________________________________ Rational #: Irrational #: 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… Counting #: ____________________________________________ All counting numbers PLUS the number zero… 0, 1, 2, 3, 4… Whole #: ______________________________________________ Integer #: All positive whole numbers PLUS the number zero PLUS all negative whole numbers… …, -3, -2, -1, 0, 1, 2, 3, 4…. ______________________________________________ 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? 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? Practice Sentence Frames ______ is a rational number, but ______ is an irrational 23 number. 3.168229016317734… ______ 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? Important Notes ends OR ________. repeats The decimal form of a rational # always ______ ends AND never ____________. repeats The decimal form of irrational # never ______ 4, 16, 49 root of a perfect _________ square is ___________. rational The square________ 7, 10, 18 root irrational The square ________ of a NON perfectsquare __________ 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? 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? Modeling – Thinking Map All numbers are REAL NUMBERS Rational Irrational Pi, 2.35231…, square root of 22 Counting Whole Integer 1,2,3.. 0,1,2.. -1,0,1 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? THINK / PAIR / SHARE 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.