Here is a suggestion:
1. Read the problem 3 times.
2. Draw a picture if you can.
3. Define a variable, preferably the quantity you are trying to find. {eg "Let x cm be the length of the rectangle."
4. Write down any formulas related to the problem, and define other quantities in terms of x. {eg A=lw, w=l-4
5. Write an equation involving the expressions from steps 3 and 4.
6. Solve the equation. {eg x=7
7. Answer the question in words. {eg "The length of the rectangle is 7cm."
8. Check your answer in the words of the question (not in the equation you wrote in step 5).
Checking your answer for reasonableness helps ensure that your solution is logical and aligns with the context of the problem. It can reveal errors in calculations or assumptions, allowing you to catch mistakes before finalizing your work. Additionally, a reasonable answer enhances confidence in your solution and aids in effective communication of results. Overall, this practice promotes accuracy and critical thinking in problem-solving.
not always,sometimes you have to solve for x
Any complex problem can always be made easier to understand, analyze, and thus solve when it is laid out in visual form. Sets help us visualize the issue/problem and put the various data at their proper places. Sets thus help isolate each facet of the problem and can facilitate solving the problem one intersection at a time.
The hypotenuse will always be longer than the other sides.
It depends on the problem but the solution is always the answer.
developing a plan and then implementing the plan
it is not always problem solving
There are many limitations that mathematical models have as problem solving tools. There is always a margin of error for example.
They are positive thinkers, never a moment passes when they are convinced they can not do it. Redefining the problem to better solve it is a part is protocol. And lastly they always have a plan, a process. Such as analysis, proposition, planning to start.
Absolutely, if you have good common sense. The problem with that though, is many people who have absolutely no common sense think they do. But real common sense, if present, is the best problem solver of all.
With computers there are always going to be problems that need solving, if something stops working, you have to find out what the possible situation is, test the situation and then record what happens, with more experience it becomes faster because you have done this before and it will save alot of time because you can cut many stages.
Checking your answer for reasonableness helps ensure that your solution is logical and aligns with the context of the problem. It can reveal errors in calculations or assumptions, allowing you to catch mistakes before finalizing your work. Additionally, a reasonable answer enhances confidence in your solution and aids in effective communication of results. Overall, this practice promotes accuracy and critical thinking in problem-solving.
No because you always keep an equation in balance when solving it
I've always used Emerald Latex Gloves, and I've never had a problem.
Using unorthodox methods is not always wrong.
The brainy twins could often be found doing puzzles.
You could talk about how you always see potential problems as an opportunity. You can say you especially welcome the opportunity to turn an unhappy customer into a customer for life by solving their problem.