Problem Solving Strategies

Understand the Problem:

• Carefully read the problem statement.

• Identify the units of what is given and what needs to be found.

• Sketch a diagram if applicable.

• List known values and variables.

Formulate a Plan:

• Identify the principles and concepts involved (e.g., Newton’s laws, conservation of energy, etc.).

• Determine which equations and formulas are relevant.

• Consider any assumptions or approximations.

Solve the Problem:

• Set up the equations based on the identified principles.

• Substitute known values into the equations.

• Perform algebraic manipulations to solve for the unknowns.

• Use appropriate units and conversion factors.

Check the Solution:

• Verify that the solution is consistent with the physical context of the problem.

• Check the units to ensure they are correct.

• Consider if the answer is reasonable (e.g., does the magnitude and direction make sense?).

• Revisit any assumptions to see if they are still valid.

Reflect and Analyze:

• Think about how the problem could be approached differently.

• Analyze any mistakes and understand why they occurred.

• Consider how this problem relates to similar problems and concepts.

Communicate the Solution:

• Clearly write out each step taken to solve the problem.

• Include diagrams and explanations where necessary.

• Ensure the final answer is clearly indicated and properly boxed or highlighted.