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Classifying Numbers

Classifying Numbers. 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.

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Classifying Numbers

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  1. Classifying Numbers

  2. 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 treesREAL, FAKE, PALM, PINE, FRUIT, WOODEN • Plastic Christmas tree: ____________ ____________ Fake Pine

  3. 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 treesREAL, FAKE, PALM, PINE, FRUIT, WOODEN • Tree common in Hawaii: _____ _______ _________ Palm Wooden Real

  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? Types of treesREAL, FAKE, PALM, PINE, FRUIT, WOODEN • Apple tree: ____________ ____________ __________ Fruit Wooden Real

  5. 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.

  6. 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 #: ________________________________________________ Rational #: ____________________________________________ Irrational #: ____________________________________________ Counting #: ____________________________________________ Whole #: ______________________________________________ Integer #: ______________________________________________ Any number that can be expressed as a fraction; written as a decimal, it either ends OR repeats itself. Any numberthat 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. 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

  8. 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 23 ______ 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. 3.168229016317734…

  9. 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 repeats 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 ____________. ends repeats 4, 16, 49 root square rational 7, 10, 18 root square irrational

  10. 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.

  11. 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

  12. 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.

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