Polya's plan
how many steps are in Polya's problem solving process?
4
What is a problem solving strategy?
What is a plan used to find a solution or overcome a challenge
? > add 7 > result 16
?=9
What is a sequence?
what is "a pattern involving an ordered arrangement of numbers"
What is the purpose of making a list?
finding a way around an obstacle to reach a goal
what is step 1?
Understand the problem
What is a fixed number?
What is the amount each term is increasing or decreasing by
? > add 10 > subtract 7 > result 16
?=13
problem ex: 1,5,9,13,17...
Find the next two numbers and how much it increases by?
what is "increases by 4 and the next numbers are 21 & 25
If you are listing all combinations of a 3-digit lock using only using the number 1 ,2,3 without repetition, how any combinations will you find?
what is 6? (123,132,213,231,312,321)
why is the "look back" step important?
Helps you check your answer to make sure it's correct
What is "n"?
What is the number of terms you have
? > multiply by 6 > divide by 2 > divide by 3
?=8
problem ex: 10,7,4,1,-2...
Find the next two numbers and how much it decreases by?
the numbers decrease by 3 so the next two numbers would be -5 & -8
JT has 3 pairs of pants (blue, black, grey) and 3 shirts (red, green, white) how many combinations can be made
what is 9?
which step is "check your steps as you go" part of?
step 3
What is Gauss's strategy for sequences?
What is last term = (fixed number) (n-1) + first term
Monica gave 10 cookies to both Sandy and Rony. She then gave 14 cookies to Emma and 6 cookies to Grace. She still had 91 cookies left. How many cookies did Monica have at the beginning
131 cookies
problem ex: 100, 75, 50, 25...
Find the next two numbers and how much it decreases by?
decreases by 25, next two numbers are 0 and -25
A bakery has 3 flavors of cupcakes (Vanilla, Chocolate, Red Velvet) and 2 types of frosting (Cream Cheese, Buttercream). This is the total number of unique cupcake-frosting combinations.
What is six? (V-C, V-B, C-C, C-B, RV-C, RV-B)
What is problem solving strategy "guess and test"?
Making an educated guess for a solution and refining it until you get the correct answer
Find the 200th term (2,5,8,..)
What is 599 (3(200-1) +2)
Paul is trying to set his alarm clock for tomorrow morning. He needs 30 minutes to get ready for school and it takes him 10 minutes to bike to school. If school starts at 8:40 a.m., and he would like to be 5 minutes early, what is the time he should set his alarm clock?
7:55 a.m
what is gauss's strategy for sequences?
last term= (fixed number) (n-1) + first term
To ensure no combinations are missed when finding all 15 possible 3-topping pizzas from 6 ingredient options, this systematic, written strategy is utilized.
What is making an organized list (or "making an orderly list")?