MTE 280 Mind Map 1

Problem-solving is a process George Polya - Everyone goes through the same process to solve a problemUnderstand the problem Devise a plan Carry out the plan Look back (reflect)Discard the Old Books: How many books did he start with? Recently Mr. Smith cleaned out his office and decided to give his unwanted books to his students.His first class was told they could have 1/6 of the books.The second class was told to take 1/5 of the books that were left in the box.The third period class was told to take 1/4 of the remaining books.The fourth period class was told to take 1/3 of the remaining books.The fifth period class was told to take 1/2 of the books that were left.This left 14 books, which the sixth period took to leave no books. How many books did Mr. Smith have to begin with?Explain your solution with pictures, diagrams, sketches, so that everyone can understand your strategy.⬛️⬜⬜⬜⬜⬜ 1/6=84⬛️⬜⬜⬜⬜ 1/5=72⬛️⬜⬜⬜ 1/4=56⬛️⬜⬜ 1/3=42⬛️⬜ 1/2=28⬛️ 1/1=144 Steps to Problem Solving Video - https://www.youtube.com/watch?v=tk0Q37GDmJ8&t=19s

Problem Solving cont.Practice Problem: There are 7 people in a room If each person shakes every other person's hand, how many handshakes will take place?Red shakes hands with everyone (6 handshakes)🔴🟠🟡🟢🔵🟣⚫️ 🔴🔴🔴🔴🔴🔴Orange shakes hands with everyone but red bc they already shook hands (5 handshakes)🔴🟠🟡🟢🔵🟣⚫️ 🟠🟠🟠🟠🟠Yellow shakes hands with everyone left (4 handshakes)🔴🟠🟡🟢🔵🟣⚫️ 🟡🟡🟡🟡If this pattern were to go on, we would add up 6+5+4+3+2+1 and come to a total of 21 handshakes

Key Points A problem similar to the combination problem will be on the test. You can solve this problem by multiplying 4x3 which equals 12 and then add 4 and 3 which get you to 19 combinations. Homework

Key RemindersExpanded Notation will be on test!



Place Value - https://www.youtube.com/watch?v=a4FXl4zb3E4

Intro to Numeration Systems Video - https://www.youtube.com/watch?v=rWBEmZzhqzY

Addition & Subtraction Properties - https://www.youtube.com/watch?v=6gPybCFegKc

Multiplication Properties - https://www.youtube.com/watch?v=Doqt7bb8Gno