Understanding Odd Numbers and Conjectures in Mathematics

JEOPARDY CHAPTER 1 SECTIONS 1.1-1.3 QUIZ REVIEW!!!

Question conjectures - 10 • The sum of any two odd numbers is? (LIST SIX EXAMPLES)

Answer conjectures – 10 • 1 + 1 = 2 • 5 + 1 = 6 • ETC. • THE SUM OF ANY TWO ODD NUMBERS IS EVEN!!!

Question conjectures - 20 • The product of any two odd numbers is (LIST SIX EXAMPLES)

Answer conjectures – 20 • 1 X 3 = 3 • 7 X 9 = 63 • ETC. • THE PRODUCT OF ANY TWO ODD NUMBERS IS ODD!!!

Question conjectures - 30 • The difference of any two odd numbers is _____? Show six examples!!!

Answer conjectures – 30 • ODD! • 9/3 = 3 • 21/ 7 = 3 • Etc.

Question conjectures - 40 • The sum of an odd number and an even number is? (list six examples!)

Answer conjectures – 40 • ODD! • 2 + 3 = 5 • 4 + 5 = 9 • Etc.

Question conjectures - 50 • Explain what a conjecture is!

Answer conjectures – 50 • An unproven statement that is based upon a pattern or observation

Question patterns- 10 • 4, 8, 12, 16… find the next three numbers!

Answer patterns – 10 • 20, 24, 28

Question patterns - 20 • 35, 30, 25, 20, find the next three!

Answer patterns – 20 • 15, 10, 5

Question patterns- 30 • 3, 0, -3, 0, 3, 0…find the next two!

Answer patterns – 30 • The numbers in the odd numbered positions alternate between 3 and -3; the numbers in the even number positions are 0; -3, 0

Question patterns - 40 • 13, 7, 1, -5…find the next two numbers!

Answer patterns – 40 • Each number is 6 less than the previous number; -11, -17

Question patterns - 50 • 5, 7, 11, 17, 25…find the next number!

Answer patterns – 50 • Begin with 5 and add two, then 4, then 6, then 8 and so on…35!

Question counterexamples - 10 • The sum of two numbers is always greater than the larger of the two numbers.

Answer counterexamples – 10 • Not if you add 0 or –s!

Question counterexamples - 20 • What is a counterexample?

Answer counterexamples – 20 • An example that shows a conjecture if false.

Question counterexamples - 30 • If a four sided shape has two sides the same length then it must be a rectangle.

Answer counterexamples – 30 • ***draw on board

Question counterexamples - 40 • All shapes with four sides are the same length are squares…

Answer counterexamples – 40

Question counterexamples - 50 • If the product of two numbers is even then the numbers must be even.

Answer counterexamples – 50 • Let the numbers be 2 and 3. The product 6, is even, but one of the numbers is not even. The conjecture is false.

Question lines - 10 • THROUGH ANY ___ POINTS THERE IS EXACTLY ONE _____.

Answer lines – 10 • TWO • LINE

Question lines - 20 • GIVE THREE NAMES FOR THE LINE A F G k

Answer lines – 20 • AFG • GFA • k

Question lines - 30 • Coplanar lines are…

Answer lines – 30 • Lines that lie on the same plane!

Question lines - 40 • Two points create a _______ even though you can’t see it!

Answer lines – 40 • line

Question lines - 50 • NAME THE LINE THAT IS INTERSECTING THE PLANE l y n

Answer lines – 50 • l

Question planes - 10 • What are coplanar points?

Answer planes – 10 • Points that lie on the same plane

Question planes - 20 • Draw and label a plane!!!

Answer planes – 20 • This will vary!

Question planes - 30 • A plane has how many dimensions?

Answer planes – 30 • Two!

Question planes - 40 • Name three points that are coplanar B A C V

Answer planes – 40 • A B and C

Understanding Odd Numbers and Conjectures in Mathematics