1. 2.1 Patterns/Inductive Reasoning

2. 2.1 Patterns/Inductive Reasoning

3. Vocabulary: Inductive Reasoning Conjecture Pattern Counterexample
2.1 Patterns/Inductive Reasoning

4. Provide the solutions!
2.1 Patterns/Inductive Reasoning

5. Now try to explain the patterns in words!
Are you understanding?
Now try to explain the patterns in words!
2.1 Patterns/Inductive Reasoning

6. Try it!
2.1 Patterns/Inductive Reasoning

7. Try it!
2.1 Patterns/Inductive Reasoning

8. 2.1 Patterns/Inductive Reasoning

9. 2.1 Patterns/Inductive Reasoning

10. 2.1 Patterns/Inductive Reasoning

11. 2.1 Patterns/Inductive Reasoning

12. Did you get it?
The following questions are designed to help you determine if you understood today’s lesson.
Be sure to talk to Mr. Torres if you missed more than you got right and you do not understand why the answers you had were wrong.
2.1 Patterns/Inductive Reasoning

13. 1. Find a counterexample to show that the conjecture is false
1. Find a counterexample to show that the conjecture is false. Conjecture: The product of two positive numbers is greater than the sum of the two numbers.
3 and 5
2 and 2
A counterexample exists, but it is not shown above.
There is no counterexample. The conjecture is true.
Non-Response Grid
2.1 Patterns/Inductive Reasoning

14. 2. Based on the pattern, what are the next two terms of the sequence
33, 972
39, 45
162, 972
33, 39
Non-Response Grid
2.1 Patterns/Inductive Reasoning

15. 3. Based on the pattern, what is the next figure in the sequence?
Non-Response Grid
2.1 Patterns/Inductive Reasoning

16. 4. Based on the pattern, make a conjecture about the sum of the first 20 positive even numbers.=
1*2
2 + 4 6
2*3 12
3*4 20
4*5 30
5*6
The sum is 20*21
The sum is 19*20
The sum is 21*22
The sum is 20*20
Non-Response Grid
2.1 Patterns/Inductive Reasoning

17. 39 words per minute 29 words per minute 35 words per minute
5. Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice.
39 words per minute
29 words per minute
35 words per minute
32 words per minute
Non-Response Grid
2.1 Patterns/Inductive Reasoning

18. Assignment
2-1 p.85 #6-36 even
2.1 Patterns/Inductive Reasoning