This method effectively reduces cognitive load for beginners by treating complex expressions as single units. However, it merely rebrands basic substitution without offering any new mathematical insight.
Deep Dive
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Deep Dive
Solve the equation.... #maths #education #learning #thinking #school #solution#learn #examination#ytAdded:
Let's look at the problem. Solve the equation 80 minus parentheses x plus two parentheses divided by three equals 76.
We're supposed to find what x equals.
For this problem, when we solve the equation, the first step is What should we do first? We should first write solution. Let's write the word solution at the beginning.
So, if we follow the normal order of operations, we should divide first and then subtract. But right now, I don't know what x equals, so I can't calculate x plus two, and I still can't work out x plus two divided by three.
That's why today we're going to learn a method called the whole method.
What is the whole method? Everyone, pay close attention.
The part I'm highlighting right now, that's the whole.
80 minus this equals 76. So, how should we calculate this whole part? We should use 80.
Subtract 76.
All right, let's fill in the left side properly.
80 minus 76 equals four. Write that down.
Okay, next. Let's continue using the whole method. Now, I treat this as a whole. So, what divided by three equals four? How should I calculate this?
I should use four times three, right?
Okay, let's continue.
Write out the entire process.
Now, if we take four times three, that equals 12, which means that x plus two must also equal 12. Next, in order to find the value of x, isn't it just a matter of subtracting the addend two from the total sum to isolate x?
So, we can say that x equals 12 minus two.
Yes, that's right. 12 minus two is exactly 10. So, we have successfully found the final value of X.
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