Inductive Reasoning
What is the conjecture for the pattern: 3, 6, 9, 12, 15...
What is adding 3 or multiples of 3?
What conclusion can you make? If Johnny makes a 90 on his Test, then he will get an A in the class. Johnny makes a 93.
What is Johnny gets an A in the class?
Let p be "You play the flute" and q be "You are in the band." How would you write the conditional statement?
What is "If you play the flute, then you are in the band."
What is the difference between complementary and supplementary angles?
What is Complementary angles add up to 90 degrees and Supplementary angles add up to 180 degrees?
What is always the first step in all two-column proofs?
What are the next two numbers in the pattern: 1, 4, 5, 9, 14...
What is 23 and 37?
Is the following an example of Law of Detachment or Law of Syllogism:
If Mary gets her homework done, then she can go to the movies. Mary gets her homework done. Mary can go to the movies.
Let p be "You play the flute" and q be "You are in the band." How would you write the converse statement? Then determine whether it is true or false.
What is "If you are in the band, then you play the flute." FALSE
If Angle A and Angle B are complementary and Angle A is 33 degrees, what is Angle B?
What is 57 degrees?
What property is being used in the following statement:
a(b+c)=ab+bc
What is Distributive Property?
What are the next two numbers in the pattern: 1/4, 1/2, 3/4, 1...
What is 1 1/4, 1 1/2?
Is the following an example of Law of Syllogism or Law of Detachment:
If you get a job, then you will earn money. If you earn money, then you can buy a car. If you get a job, then you can buy a car.
What is Law of Syllogism?
Let p be "You play the flute" and q be "You are in the band." How would you write the inverse statement? Then determine whether it is true or false.
What is "If you don't play the flute, then you are not in the band." ? FALSE
If Angle A and Angle B are a Linear Pair and Angle A is (2x + 3) and Angle B is 45 degrees. What is x?
What is 66?
What Property is being used?
If x=30 and y=30, then x=y.
What is Transitive Property?
What is the conjecture for the pattern: 1, 4, 9, 16, 25, 36....
What is perfect squares?
Use the Law of Syllogism to make a conclusion: If it is Monday, then I have school today. If I have school today, then I have to go to Math Class.
What is If it is Monday, then I have to go to Math Class?
Let p be "You play the flute" and q be "You are in the band." How would you write the contrapositive statement? Then determine whether it is true or false.
What is "If you are not in the band, then you don't play flute." TRUE
If Angle A and Angle B are vertical angles and Angle A is (8x-6) and Angle B is (7x+3), what is x? and What is the measure of the Angles?
What is x=9 and 66?
Write a Two-Column Proof for the following equation:
2x+4 = -5x+18
Answers may vary.
1) 2x+4=-5x+18 Given
2) 7x+4=18 Addition Property
3) 7x=14 Subtraction Property
4) x=2 Division Property
Write a counterexample: If a number is odd, it is a prime number.
What is 2?
Use the Law of Syllogism to write a conclusion:
If two angles are congruent, then they have the same measure.
If two angles are vertical, then they are congruent.
What is If two angles are vertical, then they have the same measure?
Write the converse of the statement. Is the converse of the statement true? Give a counterexample if it is false.
"If Aiden is looking at TVs, then he is at Best Buy."
What is "If Aiden is at Best Buy, then he is looking at TVs"
No, Aiden could be looking at phones, laptops, etc.. Best Buy has more than just TVs.
What is x=12 and Angle A= 75 degrees?
What theorem is the following?
If Angle A and Angle B are Complementary and Angle B and Angle C are Complementary, then Angle A and Angle C are congruent.
What is the Congruent Complements Theorem?