MATHEMATICAL EQUATIONS

Introduction

Mathematics is part of our daily life in solving simple to complex forms of problems. As we grow old it becomes more complex because of our response to our daily needs.

How do you solve problems when numbers are involved ?

Have you done in your life solving problems by merely using physical judgement only? Did accuracy of the answer attained ?

Real world problems are complex problems that requires accuracy because we cannot replay situations, situations which might results errors or failures when applied.

In this WebQuest will help you understand worded problem and create mathematical equations as a solution to your daily complex problems translating it into a solvable statement where you can attain near accurate answers.

Task

Equation is a mathematical statement translating worded problem into equivalent mathematical representation that are solvable and with accurate answers.

1. Define Equation and familiarize its components

2. Translate worded problem into solvable equation.

3. Discuss equivalent equations principle and mathematical operations in solving the unknowns

What to do :

I. Translate worded problems into mathematical statement and solve the unknown for the problem

Process

Step 1.

1. Read the core principle in creating mathematical statements

2. Review basic operations on creating mathematical statements and solve the given problems.

3. Solve practice problem. Access the link Mathematical Equations for your guide.

Step 2.

Solve the following worded problems. Write it in your notebook

Problem 1.

Ten less than four times a certain number is 14. Determine the number. Ans. 6

Problem 2.

The sum of two numbers is 35 and their product is 15. Find the sum of their reciprocal.

Ans. 7/3

Problem 3.

A laborer can finish a job in 4 days. Another laborer can finish the same job in 6 days. If both laborers plus a third laborer can finish the job in 2 days, how long will it take for the third laborer to finish the job alone? Ans. 12 days

Problem 4.

For a particular experiment, you need 5 liters of a 10% solution. You find 7% and 12% solution on the shelves. How much of the 7% solution should you mix the appropriate amount of the 12% solution to get 5 liters of 10% solution. Ans.2 liters

Evaluation

Criteria	Exemplary 30 pts	Intermediate 20 pts	Beginner 10 pts
Identification of the unknowns	Students can identifies unknown with certainty	Students can identify unknown	Students can identify but needs confirmation
Making equation	Can make concise equation	Can make equation correctly independently	Can make equation with limitation ( following pattern )
Solution and answer	Multi – steps solution are shown with accurate answer.	Rules are correctly applied the solution and the answers are correct	Correct solution and answer

Problem 1 - 5 pts.

Problem 2 - 5 pts.

Problem 3 – 10 pts.

Problem 4 – 10 pts.

Total points - 30

Conclusion

Analytical thinking in solving worded problem through mathematical approach is essential in establishing strong foundation in Algebra.

Problems related to numbers are solvable by creating equations and translating them it into mathematical statement. By breaking them into simple parts, they become easy to solve using basic operations of Mathematics.

Mathematical approach to our real life problems will help us minimize or eliminate errors in our decisions - whether in finances, academics, health etc. and in our daily activities.

" TRANSLATE YOUR PROBLEMS INTO EQUATION - MAKE IT SOLVABLE "