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Problem Solving in Mathematics

Topic Review on "Title":

5 step problem solving strategy:

Step 1: Identify what’s being given

Step 2:

    Clarify what’s being asked.
    If necessary, rephrase the question

Step 3:

    Select a strategy
    Trial & error, search, deductive reasoning, knowledge-based, working backwards

Step 4: Solve using the strategy

Step 5: Review the answer

KUDOS method for solving work problems:

  • K = Known
  • U = Unknown
  • D = Definition
  • O = Output
  • S = Substantiation

Mathematics exam preparation tips:

  • Stay ahead of the game
  • Make a cheat-sheet
  • Know the format of the test and information that’s fair game
  • Make a mock exam
  • Attend the review session
  • Get help early 

Exam taking tips:

  • Arrive early and prepared
  • Listen & Read instructions carefully
  • Memory dump first
  • Skim the test and form a plan
  • Answer questions sequentially
  • Apply the guessing rule

Multiple-choice tips:

  • Scan all the choices
  • Avoid word confusion
  • Beware of absolutes

 Free-Response tips:

  • Show partial work
  • Don’t forget units
  • Don’t be fooled by blank space

Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

Problem solving skills are needed to successfully solve word problems. Strategies to use when solving a Calculus word problem are introduced to assist on the development of more advanced Calculus ideals.

The KUDOS method gives anyone who is first attempting to solve a Calculus problem the knowledge needed to master word problems. KUDOS stands for known, unknown, definition, output, and substantiation.  In addition to problem solving, this tutorial gives important tips to succeed on tests and master difficult mathematics courses such as Advanced Calculus. Multiple choice, free response, and essay tips are all covered.


Tutorial Features:

Specific Tutorial Features:

  • Step by step examples to help apply problem solving techniques.
  • Graphic organizers to help convey the problem solving tips discussed.

Series Features:

  • Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
  • Definition slides introduce terms as they are needed.
  • Visual representation of concepts
  • Animated examples—worked out step by step
  • A concise summary is given at the conclusion of the tutorial.

"Title" Topic List:
Problem solving techniques and when to use them
General problem-solving techniques in Calculus
Calculus word problems and their solutions
How to prepare for a Calculus exam
Tips for taking Calculus exams


See all 24 lessons in college calculus, including concept tutorials, problem drills and cheat sheets:
Teach Yourself College Calculus Visually in 24 Hours