REGRA DE TRÊS SIMPLES \Prof. Gis/ Matemática

Summary

In this educational video, Gis introduces the simple rule of three, a fundamental concept used to solve problems involving three known values and one unknown. The video explains the difference between direct and inverse proportionality and provides a step-by-step guide on how to apply the rule, using relatable examples such as faucets filling a tank and a car's fuel efficiency. Gis uses a 'jeep' analogy to help remember the method for inversely proportional problems and emphasizes the importance of understanding the relationship between magnitudes for accurate problem-solving. The video concludes with an invitation to further classes for a deeper understanding of related mathematical concepts.

Takeaways

• 📚 The 'Rule of Three Simple' is a mathematical concept used to solve problems with three known values to find the fourth.
• 🔢 It's called 'simple' because it involves two magnitudes, as opposed to the 'Rule of Three Composed' which may involve more.
• 📝 The first guideline is to read the problem statement carefully and identify the magnitudes involved.
• 🧐 It's important to distinguish between magnitudes, measurement units, and instruments, as magnitudes are what can be measured.
• ⏱ When dealing with inversely proportional magnitudes, the increase in one results in a decrease in the other, and vice versa.
• 🚜 A mnemonic 'Jeep' is introduced to remember the method of solving problems with inversely proportional magnitudes.
• 📉 For inversely proportional problems, multiply the known values and then divide by the remaining known value to find the unknown.
• 🚗 In the example of a car's fuel efficiency, the distance traveled and the amount of fuel used are directly proportional.
• 🔄 For directly proportional magnitudes, the method involves cross-multiplication to solve for the unknown value.
• 📉 The script provides a step-by-step guide to solving a problem involving the time taken by faucets to fill a tank and a car's fuel consumption.
• 👍 The instructor encourages students to subscribe to the channel and leave a thumbs up for support and engagement.

Q & A

What is the 'rule of three simple' mentioned in the script?

The 'rule of three simple' is a mathematical concept used to solve problems where there are three known values and one unknown value. It's called 'simple' because it typically involves two types of quantities, and the goal is to find the fourth value.

Why is the rule of three referred to as 'simple' in the context of this script?

It's called 'simple' because it deals with two magnitudes, as opposed to the 'rule of three composed' which involves three or more magnitudes.

What are the two requests made by Gis at the beginning of the class?

Gis asks the audience to subscribe to the channel if they haven't already, and to leave a thumbs up.

What is the first guideline Gis gives to students when solving problems involving the rule of three simple?

The first guideline is to read the statement up to the first point and then identify and remove the magnitudes involved in the statement.

What are the two magnitudes involved in the example of the faucets filling a tank?

The two magnitudes are the number of taps and the time it takes to fill the tank.

Why is the tank not considered a 'greatness' in the faucets example?

The tank is not considered a 'greatness' because there is no variation in the number of tanks; it's the same tank being filled in both scenarios.

What is the difference between magnitudes, measurement units, and measurement instruments according to Gis?

Magnitudes are everything that can be measured. Measurement units are the units used to quantify the magnitudes, such as liters for fuel or kilometers for distance. Measurement instruments are the tools used to measure these magnitudes.

How are the magnitudes in the faucets example related?

The magnitudes are inversely proportional. As the number of taps increases, the time to fill the tank decreases, and vice versa.

What is the 'jeep' trick mentioned by Gis to remember how to solve problems with inversely proportional magnitudes?

The 'jeep' trick is a mnemonic to remember that when dealing with inversely proportional magnitudes, one should multiply the known values directly rather than cross-multiplying.

How does Gis solve the example of the car traveling 12 km with one liter of fuel?

Gis identifies the magnitudes as directly proportional, multiplies the known values (336 km by 1 liter), and then divides by the remaining known value (12 km per liter) to find the unknown quantity of fuel needed.

What is the difference between solving problems with directly proportional magnitudes versus inversely proportional magnitudes according to the script?

For directly proportional magnitudes, one typically cross-multiplies the known values to solve for the unknown. For inversely proportional magnitudes, one multiplies the known values directly and then divides by the remaining known value.

What does Gis suggest at the end of the class to further enhance understanding?

Gis suggests attending additional classes on the compound rule of three, direct and inverse magnitudes, ratio, and proportion to further enhance understanding.