4 steps to solve even the toughest math problem and improve your math skills (2024)

Mathematics is a field where one can take multiple approaches to get to the solution of a problem. This simplified step-by-step approach will help you unravel the solution to even the toughest math problem.

4 steps to solve even the toughest math problem and improve your math skills (1)

This simplified method can help everyone solve even the toughest math problem and build your mathematics skills while you're at it!

New Delhi,UPDATED: Nov 2, 2018 12:03 IST

There are multiple ways to solve math problems; however, a simplified method that can help everyone to solve even the toughest problem is a three-step process.

The process is:

1. Visualize the problem
2. Approach to be followed for that problem
3. Lastly, solve the problem

This three-step process could probably help you to improve your overall math skills.

Here are four steps to help solve any math problems easily:

1. Read carefully, understand, and identify the type of problem

4 steps to solve even the toughest math problem and improve your math skills (2)

Define the category in which your math problem fits in before you move forward as it will help find the best solution to solve it.

When you first start studying math, check the type of problem -- whether it is a word problem, of concerning fractions, quadratic equations, or any other type.

Define the category in which your math problem fits in before you move forward as it will help with the best solution to solve it.

Reading the problem carefully and ensuring that you have understood the problem correctly is extremely important for taking the next steps.

2. Draw and review your problem

4 steps to solve even the toughest math problem and improve your math skills (3)

You could also probably look for patterns or make use of graphs to solve the math problem.

Once you have understood the problem, the next step could be to draw the problem as it will help you with the way forward. The drawing can be simple in form of shapes or shapes with numbers.

Here you could also probably look for patterns or make use of graphs. Once this entire process of understanding, reading and drawing is conducted you need to review the analysis you have made out of it.

This will help you to decide the type of problem and the method to solve it.

3. Develop the plan to solve it

4 steps to solve even the toughest math problem and improve your math skills (4)

Firstly one needs to figure out the formula you will need to solve the math problem.

There are four simple steps which one needs to go through in order to develop a plan to solve it. The steps are as mentioned below:

    advertisem*nt

  • Firstly one needs to figure out the formula you will need to solve the problem. Here you need to spend some time reviewing the concepts in your textbooks which will help you solve the problem
  • You need to write down your need in order to get the answer to your problem. For this, you need to make a step-by-step list of the things which you need to solve the problem and also help you to stay organised
  • In case there is an easier problem which is available then you could probably work on that first to solve it. Sometimes, the formulas are repetitive for solving both the problems. This will give you some more time to solve the difficult problem
  • You can make an educated guess about the answer so that you can try and get the estimate the answer before you start to solve it. Here you can identify the number and other factors as well that will contribute to the same. Lastly, review the estimate and then check if you haven't left out on anything

4. Solve the problem

4 steps to solve even the toughest math problem and improve your math skills (5)

Ensure that all the steps which you had listed to solve the math problem are completed

Once your strategy and method to solve the problem are ready you could start solving it. The steps are as below:

    advertisem*nt

  • Ensure that all the steps which you had listed to solve the problem are completed. Cross check each of your answers to ensure that the accuracy is perfect
  • Compare the answer with the estimates which you have listed after completion of each and every step. This will have you to save time in case the end result is not what you were looking for. Also check if you have completed all the steps carefully
  • In case you realize in the middle that your plan isn't working then you can always go back to the planning stage and make a new plan. Sometimes due to common mistakes, this happens but you should learn to accept it and be ready with Plan B to solve it
  • Once you have solved the problem correctly, you should go back and look at the process. Take a moment to reflect on the problem and the method through which you have solved it. This will help in identifying concepts that you need to learn while practicing.

- Article by Sudhanshu Sinhal, Managing Director, Sinhal Classes Pvt. Ltd.

Read: CBSE Class 12 Mathematics: Board examiner points out 8 common errors stopping students from getting a full 100

Read: CBSE Class 10 Mathematics Board Exam 2018: Solve the sample paper here!

Read: Fun and activity based Mathematics! This new technique can make mathematics fun to learn

Published By:

Roshni

Published On:

Nov 2, 2018

--- ENDS ---

4 steps to solve even the toughest math problem and improve your math skills (2024)

FAQs

4 steps to solve even the toughest math problem and improve your math skills? ›

Problem Solving Using the 4 - Step Plan

In solving word problems using the 4 - step plan, first, we need to understand by identifying what is asked in the problem and what are the given facts. Next, plan on the operation to be used and the number sentence. Then, solve. Lastly, check and look back.

What is the best way to solve a difficult math problem? ›

Strategies for Difficult Math Problems — and Beyond
  1. Do something. Yeah, the problem is hard. ...
  2. Simplify the problem. Try smaller numbers and special cases. ...
  3. Reflect on successes. You've solved lots of problems. ...
  4. Focus on what you haven't used yet. ...
  5. Work backwards. ...
  6. Ask for help. ...
  7. Start early. ...
  8. Take a break.

What are the 4 step plan in solving word problems? ›

Problem Solving Using the 4 - Step Plan

In solving word problems using the 4 - step plan, first, we need to understand by identifying what is asked in the problem and what are the given facts. Next, plan on the operation to be used and the number sentence. Then, solve. Lastly, check and look back.

What is the 4 part problem-solving model? ›

Nearly 100 years ago, a man named George Polya designed a four-step method to solve all kinds of problems: Understand the problem, make a plan, execute the plan, and look back and reflect. Because the method is simple and generalizes well, it has become a classic method for solving problems.

What are the 4 stages of problem-solving? ›

Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

What are the 4 C's problem-solving? ›

Critical thinking teaches students to question claims and seek truth. Creativity teaches students to think in a way that's unique to them. Collaboration teaches students that groups can create something bigger and better than you can on your own. Communication teaches students how to efficiently convey ideas.

What is the best way to solve a difficult problem? ›

Six step guide to help you solve problems
  1. Step 1: Identify and define the problem. State the problem as clearly as possible. ...
  2. Step 2: Generate possible solutions. ...
  3. Step 3: Evaluate alternatives. ...
  4. Step 4: Decide on a solution. ...
  5. Step 5: Implement the solution. ...
  6. Step 6: Evaluate the outcome.

What is the hardest thing to solve in math? ›

  • Fermat's Last Theorem. Getty Images. ...
  • The Classification of Finite Simple Groups. Wikimedia Commons. ...
  • The Four Color Theorem. ...
  • (The Independence of) The Continuum Hypothesis. ...
  • Gödel's Incompleteness Theorems. ...
  • The Prime Number Theorem. ...
  • Solving Polynomials by Radicals. ...
  • Trisecting an Angle.
Dec 28, 2023

How to master math problem solving? ›

7 Tips for solving math problems
  1. Work & More Practice. By merely reading and listening, it is difficult to learn mathematics properly. ...
  2. Review Errors. ...
  3. Master the Key Concepts. ...
  4. Understand your Doubts. ...
  5. Create a Distraction-Free Study Environment. ...
  6. Create a Mathematical Dictionary. ...
  7. Apply Maths to Real-World Problems.
Jan 4, 2021

What are the 4 steps to the problem solving plan? ›

The four steps are as follows:
  • Analyze—Understand the root cause.
  • Plan—Determine how to resolve the problem.
  • Implement—Put the resolution in place.
  • Evaluate—Determine if the resolution is producing the desired results.
Jan 26, 2021

What are the 4 P's of problem-solving? ›

As you can see the problem solving process is a cycle; prep, plan, perform and perfect. You must use your steps wisely and always focus on clearly fulfilling the problem with a solution. Being a great problem solver takes time and practice.

What is step 4 in the problem-solving process? ›

Step 4: Identify Root Cause of the Problem

Prioritize possible root causes of the problem. What information or data is there to validate the root cause?

What are the 4S method of problem-solving? ›

The 4S method is an integrated, four-stage problem-solving approach that combines the tools of strategy consulting with insights from cognitive science and design thinking. The first S is to State the problem properly, identifying the core question at hand as well as its context, owner, and stakeholders.

What are the 4 important steps in problem-solving method? ›

Analyze—Understand the root cause. Plan—Determine how to resolve the problem. Implement—Put the resolution in place. Evaluate—Determine if the resolution is producing the desired results.

What are the 4 strategies of problem-solving? ›

Here's how to plan your plan:
  • Use questions to generate ideas and solutions to solving a problem.
  • Identify these solutions.
  • Evaluate these solutions to narrow down the most efficient options.
  • And finally, select a solution best suited to a problem through your evaluation and analysis.
Mar 1, 2023

What are the 4 points of problem-solving? ›

Six step guide to help you solve problems
  • Step 1: Identify and define the problem. State the problem as clearly as possible. ...
  • Step 2: Generate possible solutions. ...
  • Step 3: Evaluate alternatives. ...
  • Step 4: Decide on a solution. ...
  • Step 5: Implement the solution. ...
  • Step 6: Evaluate the outcome.

Top Articles
Latest Posts
Article information

Author: Tish Haag

Last Updated:

Views: 6019

Rating: 4.7 / 5 (47 voted)

Reviews: 86% of readers found this page helpful

Author information

Name: Tish Haag

Birthday: 1999-11-18

Address: 30256 Tara Expressway, Kutchburgh, VT 92892-0078

Phone: +4215847628708

Job: Internal Consulting Engineer

Hobby: Roller skating, Roller skating, Kayaking, Flying, Graffiti, Ghost hunting, scrapbook

Introduction: My name is Tish Haag, I am a excited, delightful, curious, beautiful, agreeable, enchanting, fancy person who loves writing and wants to share my knowledge and understanding with you.