Problem solving it isnt scary The four step
Problem solving, it isn’t scary!
The four step problem solving process. Step 1. Understand the problem. Step 2. Devising a plan. Step 3. Carrying out the plan. Step 4. Looking back.
What problem solving strategies are there? • Example: guess and check.
Common strategies may include… • Drawing a picture • Use a model • Act it out • Look for a pattern • Make a table or chart • Try a simpler form of the problem • Make an organized list • Write an equation • Look at similar problems
Step 1. Step 2. Step 3. How many triangles are needed for step ten? Step 20? Step 100? Write a rule (in words and/or symbols) That gives the total number of pieces to build any step number (n).
How many tiles will length 10 need? How many tiles will length 20 need? Can you write a rule for the number of tiles needed for length n.
True or false. 2+1=1+2 9÷ 3=3÷ 9 8=2+6 5 -2=2 -5 7+4=15 -4 17 -9=18 -10 12 -5=9 2× 3=2× 3 8+2=10+4
Lab mice on mars! In our laboratory we have eight mice living in two cages that are joined by a tunnel. Cage x. Cage y
The mice are free to move between the two cages as they please. What are all the different combinations of mice present in the two cages that are possible? Find the number of Possibilities. What are the possibilities for 7 mice? Possible strategies could be… Draw a picture or graph representing the combinations. Make a list. Make an equation representing the combinations.
The hand shake problem. At the end of their teams football game against the Magpies, Hawthorns coach wanted every player on his team to shake hand with every player on the Collingwood team to show good sportsmanship. Collingwood’s coach wanted his team to show the same sportsmanship and asked his players to shake the hands of every Hawthorn player also. How many handshakes would happen after 3 Hawthorn players shook the hands of 3 Collingwood players?
- Slides: 10