1. Homework Folder Period 1: Purple Period 3: Yellow Period 4: Red Bring back and forth, everyday keep that day’s notes & HW Do not write on (I’ll reuse next year) I’ll give you a name sticker tomorrow

2. Go Around Name Any Pets? Yes- kind, names? No- what would you get if you could?

3. For success Hard Work Efficiency Respect

4. Vocabulary Cards Tape to thick yellow paper Definition (COACH book) Example Connection Rational number Irrational number Natural number Whole number Integer

5. Objectives: SWBAT determine which category numbers fit into Homework: See grey box on Pg 3 of notes ----------------------------------------------------------- Classifying means to put things into categories. What other things do you put into categories, or classify?

7. Real Numbers All numbers that I know now. Split into _2_ big categories: Rational numbers Irrational numbers

8. Rational Numbers Ratio means _fraction_ **R.#s can be written as a fraction** Examples: 0 5 -12 16 -567,023,234.456 Square-root 36  is a perfect square, = 6 234.2315891  has an end 54.234234234234…  has a repeating pattern -9.5623  decimals have an end -0.33333…..  decimals have a pattern

9. Irrational Numbers The prefix “IR-” means _not_, so IR- rational means not rational, or cannot be a fraction Decimals have….  No _end_And  No repeating pattern

10. Write an R (rational) or an I (irrational) next to the numbers Irrational Numbers prefix “IR-” means not So… they’re not rational, or cannot be a fraction Decimals have….  No _end_ And  No repeating pattern Rational Numbers Ratio means _fraction_ **R.#s can be written as a fraction** Decimals have… -An end or -A repeating pattern

11. R R I R R I R R R R R I R I R R R R R R =5 =3 R R I R (pattern) I I R R I ends (^no end & no pattern) (^no end & no pattern)

12. Pg 2 Perfect squares are RATIONAL I I =9 R =11 R =12R =10R I =6 R I =7R R (all fractions are ratios aka RATIONAL) R (even if they’re negative) R -ends R-pattern I-no end, no pattern I R-pattern R (entire row) R R R I R I R R –ends R R R R-pattern I-no end&no pattern I

13. More types of RATIONAL Rational numbers are split into 3 smaller categories: Natural numbers Whole numbers Integers

15. Natural number is a counting number 1, 2, 3, 4, …. 5,000 … Ways to remember: Whole number is all the natural numbers plus 0 0, 1, 2, 3, 4, …. 5,000 … Ways to remember: WhOle includes zerO Integer is all whole numbers and their negative opposites -5,000 … -4, -3, -2, -1, 0, 1, 2, 3, 4 … 5,000 Ways to remember:

16. Integers Whole Natural whole neg. 0 natural #s counting win win win i i i i i i (negatives) win i (-) none (dec) =-1 =1 =8 =-3 win i i win win i

17. Pg 2 Pg 1 -- -- win win win win -- win -- win -- -- (they’re all fractions that don’t simplify to whole #s) i i i i wn i -- i i i -- -- -- -- win win win win win i win win -- -- win -- -- -- win i

18. Putting it all together… Rational numbers can fit into more than one category RHS shirt fits into the category Red Shirts AND Shirts Red shirts is a more specific category

19. All know

20. WHITE BOARDS Only write what you are asked to Choose and answer, and write quickly Hold up the board on “BOARDS UP” Write answer with your own pencil on your paper

21. What kind of number? Write all categories 4 Rational Natural, whole, integer

22. What kind of number? Write all categories -4 Rational integer

23. What kind of number? Write all categories 0 Rational Natural, whole, integer

24. What kind of number? Write all categories 5.3 Rational (decimal, so nothing else)

25. What kind of number? Write all categories 1.2130901… Irrational (no end and no repeating pattern)

26. What kind of number? Write all categories 1.333333… Rational Has pattern

27. What kind of number? Write all categories 2.454554555… Irrational No end and no repeating pattern

28. What kind of number? Write all categories 3.43902 Rational end

29. What kind of number? Write all categories =3 Rational Natural, whole, integer

30. What kind of number? Write all categories = 2….. Irrational

31. What kind of number? Write all categories 0 Rational Natural, whole, integer

32. What kind of number? Write all categories 100 Rational Natural, whole, integer

33. Multiple Choice pg. 2 1. Which student provided the most accurate definition of the set of all natural numbers? A. Angela: “The set of all natural numbers is all real numbers except fractions.” B. Ben: “The set of all natural numbers is all positive numbers but not 0.” C. Carlene: “The set of all natural numbers is all whole numbers and their negatives.” D. Diego: “The set of all natural numbers is decimals, fractions, and negatives.” ALSO, not decimals,0, or neg.s

34. Multiple Choice, continued 2. Which name best describes the set of numbers to the right?{0, 0.5, 1, 2, 4} A. integers B. whole numbers C. natural numbers D. rational numbers

35. Multiple Choice, #3 3. Which set below is the set of all whole numbers? A. {1, 2, 3, …………….} B.{0, 1, 2, 3, 4 ……………} C.{….-3, -2, -1, 0, 1, 2, 3…..} D.{-3, -2, -1, 0} ALSO zero

36. Multiple Choice #4 4. Which statement best describes 16.23426… ? A. It is a whole number but not an integer B. It is an integer but not a rational number C. It is a natural number but not a whole number D. It is an irrational number but not a natural number

37. End of Course Exam Style Questions (on flipchart)

38. Exit Slip Silent and by yourself Done early? Silently stay seated Work on homework (see box on pg. 4) Review notes TURN IN: only exit slip, leave binder on desk

39. Practice With a partner Label #s on Pg 2 Are any i, w, n ?

40. Turn In Exit Slip Keep & Bring Back Week Sheet notes Homework See pg. 4 Finish classifying Finish multiple choice questions