Patterns and Inductive Reasoning
The next two terms in the sequence of 1,3,5,8,11,15,19,24, ______, _______
What is 29, 35
Identify the hypothesis and conclusion of the following conditional statement. If the sidewalks are wet, then it has been raining.
What is the sidewalks are wet and it has been raining
Write an equation for the nth term of the arithmetic sequence: 10, 15, 20, 25, ....
What is 5n + 5
Make a conclusion if possible... If cats prowl, mice will scatter. Cats are prowling
What is mice will scatter
Find a counterexample for: If a month starts with J, then it is the summer.
What is January
Double Jeopardy...The next term in the sequence of 1/2, 2/6,3/18,4/54, ____
What is 5/162
Determine if the conditional statement is true or false..if false provide a counter example If the figure has four congruent angles, then the figure is a square.
What is a rectangle
Write an equation for the nth term of the arithmetic sequence: 91, 84, 77, 70, ...
What is -7n + 98
Make a conclusion (if-then statement) if possible. To take Algebra II, you must first take Geometry. To take Geometry, you must first take Algebra I.
What is to take Algebra II you must first take Algebra I
What is the negation of "The grass is green."
What is the grass is not green.
A counter example for the following statement: The sum of two integers is always positive.
What is -13 + 2
Write the converse of the following conditional: If the temperature outside is below freezing, then ice can form on the sidewalks.
What is ..if ice can form on the sidewalks, then the temperature outside is below freezing.
Write an equation for the nth term of the arithmetic sequence and find a45. 3, 7 , 11, 15, ...
What is 4n - 1 and 179
Make a conclusion if possible. If you pass the road test then you will get your driver's license. Samantha passed the road test.
What is Samantha will get her driver's license
What is the negation of "It is not my birthday."
What is It is my birthday.
Find the next two terms in the sequence....B, C, D, F, G, H, ...
What are J and K
Write the contrapositive of the following conditional: If the shoe fits, then you can wear it.
What is if you can't wear it, then the shoe does not fit.
Write an equation for the nth term for the arithmetic sequence and find a25. 50, 41, 32, 23,...
What is -9n + 59 and -166
Double Jeopardy... Make a conclusion if possible... If Billy goes to the gym, then he will wear athletic socks. Billy is wearing athletic socks
What is not possible.
Is this inductive or deductive reasoning and why? When I was a freshman, I ate first lunch. When I was a sophomore, I at first lunch. When I was a junior, I ate first lunch. So next year, I think I will eat first lunch.
What is inductive reasoning because it follows from a pattern.
Provide a counterexample for: All states in the United States share a border with another state.
What is Hawaii or Alaska?
Given the following conditional: If it is snowing then it is cloudy.... The following statement is the converse, inverse, or contrapositive.... If it is not snowing then it is not cloudy.
What is inverse
Write an equation for the nth term of the arithmetic sequence and find a200. 17, 14, 11, 8
What is reversible, clear and precise-3n + 20 and -580
Write a new conditional (if-then) statement...If I go to the movies, then I will order popcorn. If I order popcorn, then I am happy.
What is If I go to the movies, then I am happy.
Is this inductive or deductive reasoning and why? All prime numbers are divisible by itself and 1. So 7 is a prime number.
What is deductive reasoning because it follows from a fact.