Inductive Reasoning and Conjecture

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Presentation transcript:

Inductive Reasoning and Conjecture Ch. 2.1

Conjecture- statement reached using inductive reasoning. Inductive Reasoning - uses a number of specific examples to arrive at a conclusion. used in applications that involve prediction, forecasting, or behavior derived using facts and instances which lead to the formation of a general opinion Conjecture- statement reached using inductive reasoning.

Write a conjecture that describes the pattern in each sequence Write a conjecture that describes the pattern in each sequence. Then use your conjecture to find the next item in the sequence. a) 8:30 A.M.., 9:45 A.M., 11:00 A.M., 12:15 P.M., … The time is increasing by one hour and 15 minutes. The next time will be 1:30pm. b) Each is increasing by 2 more than the last increase making the next number 40 + 14 = 54.

Make a conjecture about each value or geometric relationship Make a conjecture about each value or geometric relationship. List or draw some examples that support your conjecture. The sum of two odd numbers The relationship between a and b if a + b = 0 The sum of two odd number is an even number. A and b are opposite of each other. A and b are additive inverses.

#30 Carrie collected canned food for a homeless shelter in her area each day for a week. On day one, she collected 7 cans of food. On day two, she collected 8 cans. On day three, she collected 10 cans. On day four, she collected 13 cans. If Carrie wanted to give at least 100 cans of food to the shelter and this pattern of can collecting continued, did she meet her goal?

#30 Make a table

pg. 95 #13-34 Bonus: 46, 48 (4 points each) Problem Set pg. 95 #13-34 Bonus: 46, 48 (4 points each)