p. 6: 1 – 6, 11, 30, 31, 44 p. 91: 2, 21, 22, 33 – 35
A conjecture is an unproven statement based on observations. Find a counterexample to prove the conjecture is false.
Conjecture: Each shape has all sides with equal lengths, but each new shape has an additional side. 3 sides4 sides5 sides 6 sides Conjecture: The blue triangle moves clockwise to the next triangle section on the star.
Conjecture: Multiply by 3 to get to the next number. x3 x3 x3 Conjecture: Add the next consecutive odd number to get the new number. +1 +3 +5 The sum of any three consecutive integers is equal to 3 times the middle integer.
The product of any two odd numbers is an odd number.
Coordinates: (0,0) (1,-0.5) (2,-1) Conjecture: The y value decreases by 0.5 each time x increases by 1. (3,-1.5)
Deductive Reasoning Inductive Reasoning. The conclusion is based on an observed pattern.
Deductive reasoning. The conclusion is based on the driving rules in the state of Nevada. The Oak Terrace apartment building does not allow dogs. Serena lives at Oak Terrace. So, Serena may not keep a dog.
The Kolob Arch is the world’s widest natural arch. The world’s widest arch is in Zion National Park. So, the Kolob Arch is in Zion. Zion National Park is in Utah. Jeremy spent a week in Utah. So, Jeremey may have visited Zion National Park.