slide1
Download
Skip this Video
Download Presentation
1.1 Inductive and Deductive Reasoning

Loading in 2 Seconds...

play fullscreen
1 / 11

1.1 Inductive and Deductive Reasoning - PowerPoint PPT Presentation


  • 362 Views
  • Uploaded on

1.1 Inductive and Deductive Reasoning. Inductive reasoning is the process of arriving at a general conclusion based on observations of specific examples.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '1.1 Inductive and Deductive Reasoning' - marnina


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide2
Inductive reasoning is the process of arriving at a general conclusion based on observations of specific examples.

A scientist takes a piece of salt, turns it over a burning candle, and observes that it burns with a yellow flame. She does this with other pieces of salt, finding they all burn with a yellow flame. She therefore makes the following conjecture: “All salt burns with a yellow flame.”

slide3
Caveperson Stony Grok picks up a rock, drops it into a lake, and watches it sink. He picks up a second rock, drops it into the lake and it also sinks. He does this five more times, and each time the rock heads straight to the bottom of the lake. Stony conjectures: :Ura nok seblu,” which translates as: ___________________
slide4
A mathematician lands at the airport of the kingdom of Moravia. He desperately needs to use the bathroom, but he is very shy, and social customs of the kingdom would not permit him to use the wrong bathroom. He locates the doors to what appear to be two bathrooms. He observes men enter the door marked “Warvan” and women enter the door marked “Cupore.” He is finally ready to make his conjecture. How does he spell relief?
slide5
The sum of two two-digit numbers is a three-digit number.

A counterexample will show this conjecture to be false.

slide6
Find the next number:

3, 7, 11, 15, 19, ___

2, 6, 18, 54, ____

1, 4, 9, 16, 25, 36, ___

slide7
What is the maximum number of regions formed when points are connected by line segments on a circle?

10

Points Regions

11

9

1

1

1

12

17

18

13

19

2

2

20

4

3

14

16

4

3

22

24

21

23

4

8

7

25

26

5

5

16

6

30

15

29

27

28

31

6

31

2

8

slide8
What is the maximum number of regions formed when chords are constructed on a circle?

5

Chords Regions

1

0

1

4

1

2

3

6

4

2

8

11

9

3

7

2

10

4

11

7

5

16

slide9
1: A, E, F, H, I, K, L, M, N, T, V, W,

2: B, C, D, G, J, O, P, Q, R, S, U, Where should X, Y, and Z be placed?

slide10
Deductive reasoning is the process of proving a specific conclusion from one or more general statements. A conclusion that is proved true by deductive reasoning is called a theorem.

Select a number. Multiply the number by 6. Add 15 to the product. Divide the sum by 3. Subtract 5 from the quotient. Divide the difference by 2.

Conjecture:

Examples will not prove the conjecture. We need to use deductive reasoning.

slide11
Select a number. Multiply the number by 6. Add 15 to the product. Divide the sum by 3. Subtract 5 from the quotient. Divide the difference by 2.

Call the selected number n.

The first operation will give us 6n.

The second operation yields 6n+15

The third operation, 2n+5

The fourth operation, 2n

Finally n

ad