Needing advice for winning/doing well in a Math Counts competition

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SUMMARY

The discussion focuses on strategies for excelling in the Math Counts competition, which targets students in grades 6-8 and emphasizes word problems. Key advice includes reading problems multiple times to gain a comprehensive understanding, translating text into mathematical information, and practicing problems in various ways to identify the simplest solutions. The importance of unit awareness and separating knowns from unknowns is also highlighted as essential for effective problem-solving.

PREREQUISITES
  • Understanding of basic algebra and word problems
  • Familiarity with proportional reasoning
  • Ability to translate verbal descriptions into mathematical equations
  • Experience with problem-solving techniques in mathematics
NEXT STEPS
  • Research effective techniques for solving word problems in mathematics
  • Explore resources on proportional reasoning and its applications
  • Practice translating complex word problems into mathematical expressions
  • Study various problem-solving methods to identify the most efficient approaches
USEFUL FOR

This discussion is beneficial for middle school students preparing for Math Counts, educators teaching math problem-solving strategies, and anyone interested in improving their mathematical reasoning skills.

QuantamMaster
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Hello! I am a passionate math student wanting advice on how to succeed and go far in a math competition called Math Counts, a mostly word problem-based competition for grades 6-8. Anything helps! Thank you!
 
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If anything helps then
https://www.physicsforums.com/insights/10-math-tips-save-time-avoid-mistakes/
or
https://www.physicsforums.com/insights/how-most-proofs-are-structured-and-how-to-write-them/
might help.

I always told my students:
  • read it once to get an overview
  • read it twice to translate the text into information:
    "three men were building a log cabin in 5 weeks" translates to "##3\, m \text{ in } 5\, w##, probably reverse proportional, i.e. ##3\cdot 5 =15 \,[mw]##" where ##mw## are menweeks. Do not forget the units!
  • read it a third time to check your translation and elaborate on the question, i.e. separate unknowns and known parameters
 
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Do practice problems, but solve them multiple ways with the goal of finding simplest way.
 
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fresh_42 said:
If anything helps then
https://www.physicsforums.com/insights/10-math-tips-save-time-avoid-mistakes/
or
https://www.physicsforums.com/insights/how-most-proofs-are-structured-and-how-to-write-them/
might help.

I always told my students:
  • read it once to get an overview
  • read it twice to translate the text into information:
    "three men were building a log cabin in 5 weeks" translates to "##3\, m \text{ in } 5\, w##, probably reverse proportional, i.e. ##3\cdot 5 =15 \,[mw]##" where ##mw## are menweeks. Do not forget the units!
  • read it a third time to check your translation and elaborate on the question, i.e. separate unknowns and known parameters
Thank you so much, I have read the articles and they are very insightful!
 
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Frabjous said:
Do practice problems, but solve them multiple ways with the goal of finding simplest way.
Thank you, I will implement this when I am studying!
 

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