Problem solving - Using different strategies
Problem solving strategies:
- Look for a pattern
- Make an organized list
- Draw a table
- Guess and check (Trial and improvement)
- Work backwards
- Use logical reasoning
- Draw a diagram
- Solve a simpler problem
In the next few lessons we will look at the different strategies to solve mathematical problems:
- Lesson 1- Look for a pattern and make an organized list
- Lesson 2 - Draw a table and Guess and check
- Lesson 3 - Work backward and use logical reasoning
- Lesson 4 - Draw a diagram and solve a simpler problem
1. Look for a pattern:
Sometimes the numbers in a problem form a pattern. To solve the problem, you need to find the rule that creates that specific pattern and then you can find the answer.
Example:
The netball team of a school wants to sell raffle tickets. There are 8 players in a team. Each player has to sell 5 tickets.
How many tickets will 2 teams sell?
NOTE: The 1st player sells 5 tickets, The 2nd player 10 tickets, 3rd player 15 tickets etc, 8 players will sell 40 tickets in total. Therefore 2 teams will sell 80 tickets in total.
Activity:
A ball drops from a building that is 40 meters high. On the first bounce, the ball reaches a height of 25 meters. On the second bounce, it reaches a height of 20 meters. On the third bounce it reaches a height of 15 meters. How high will the ball rebound on bounce 4 and 5?
2. Make an organized list:
Sometime we have to find a number of ways in which something can be done. To solve this specific problem, we have to list all the different ways in which it can happen.
Example:
Toss a coin up in the air 3 times. Write the possible outcomes for this event
- Turn 1: Heads or tails
- Turns 2: Heads or tails
- Turn 3: Heads or tails
Because a coin can only land on either heads or tails, the outcome for each event will be heads or tails. There will be 6 possible outcomes for this event.
Activity:
The Primary School has 4 grade 1 classes. 4 Teachers must be allocated to be these grade 1's register teachers. In how many different ways can the 4 teachers be allocated to the classes?
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Hello, @apteacher, I love the easy way to make see the solution of mathematical problems ideal for the little ones to learn without problems. Thanks for sharing. Regards!!
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Greetings.
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