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Conjectures Patterns Counter- examples LinesPlanes 10 20 30 40 50.

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Presentation on theme: "Conjectures Patterns Counter- examples LinesPlanes 10 20 30 40 50."— Presentation transcript:

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2 Conjectures Patterns Counter- examples LinesPlanes 10 20 30 40 50

3 + Question conjectures - 10 The sum of any two odd numbers is? (LIST SIX EXAMPLES)

4 + Answer conjectures – 10 1 + 1 = 2 5 + 1 = 6 ETC. THE SUM OF ANY TWO ODD NUMBERS IS EVEN!!!

5 + Question conjectures - 20 The product of any two odd numbers is (LIST SIX EXAMPLES)

6 + Answer conjectures – 20 1 X 3 = 3 7 X 9 = 63 ETC. THE PRODUCT OF ANY TWO ODD NUMBERS IS ODD!!!

7 + Question conjectures - 30 The difference of any two odd numbers is _____? Show six examples!!!

8 + Answer conjectures – 30 ODD! 9/3 = 3 21/ 7 = 3 Etc.

9 + Question conjectures - 40 The sum of an odd number and an even number is? (list six examples!)

10 + Answer conjectures – 40 ODD! 2 + 3 = 5 4 + 5 = 9 Etc.

11 + Question conjectures - 50 Explain what a conjecture is!

12 + Answer conjectures – 50 An unproven statement that is based upon a pattern or observation

13 + Question patterns- 10 4, 8, 12, 16… find the next three numbers!

14 + Answer patterns – 10 20, 24, 28

15 + Question patterns - 20 35, 30, 25, 20, find the next three!

16 + Answer patterns – 20 15, 10, 5

17 + Question patterns- 30 3, 0, -3, 0, 3, 0…find the next two!

18 + Answer patterns – 30 The numbers in the odd numbered positions alternate between 3 and -3; the numbers in the even number positions are 0; -3, 0

19 + Question patterns - 40 13, 7, 1, -5…find the next two numbers!

20 + Answer patterns – 40 Each number is 6 less than the previous number; -11, -17

21 + Question patterns - 50 5, 7, 11, 17, 25…find the next number!

22 + Answer patterns – 50 Begin with 5 and add two, then 4, then 6, then 8 and so on…35!

23 + Question counterexamples - 10 The sum of two numbers is always greater than the larger of the two numbers.

24 + Answer counterexamples – 10 Not if you add 0 or –s!

25 + Question counterexamples - 20 What is a counterexample?

26 + Answer counterexamples – 20 An example that shows a conjecture if false.

27 + Question counterexamples - 30 If a four sided shape has two sides the same length then it must be a rectangle.

28 + Answer counterexamples – 30 ***draw on board

29 + Question counterexamples - 40 All shapes with four sides are the same length are squares…

30 + Answer counterexamples – 40

31 + Question counterexamples - 50 If the product of two numbers is even then the numbers must be even.

32 + Answer counterexamples – 50 Let the numbers be 2 and 3. The product 6, is even, but one of the numbers is not even. The conjecture is false.

33 + Question lines - 10 THROUGH ANY ___ POINTS THERE IS EXACTLY ONE _____.

34 + Answer lines – 10 TWO LINE

35 + Question lines - 20 GIVE THREE NAMES FOR THE LINE k G F A

36 + Answer lines – 20 AFG GFA k

37 + Question lines - 30 Coplanar lines are…

38 + Answer lines – 30 Lines that lie on the same plane!

39 + Question lines - 40 Two points create a _______ even though you can’t see it!

40 + Answer lines – 40 line

41 + Question lines - 50 NAME THE LINE THAT IS INTERSECTING THE PLANE l n y

42 + Answer lines – 50 l

43 + Question planes - 10 What are coplanar points?

44 + Answer planes – 10 Points that lie on the same plane

45 + Question planes - 20 Draw and label a plane!!!

46 + Answer planes – 20 This will vary!

47 + Question planes - 30 A plane has how many dimensions?

48 + Answer planes – 30 Two!

49 + Question planes - 40 Name three points that are coplanar A B C V

50 + Answer planes – 40 A B and C

51 + Question planes - 50 The reason that two points can’t form a plane is because with only two points there would be a _____________ number of planes.

52 + Answer planes – 50 infinite


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