Final answer:
Using existing knowledge to refine conjectures and verify math techniques. Developing approximation skills through estimation and educated guessing. Customized problem-solving and leveraging existing knowledge for a better understanding of math.
Step-by-step explanation:
In this topic, the main idea is to use the math that you already know to refine your conjecture. This means using your existing knowledge to test and verify your techniques and rules. By doing this, you gain a deeper understanding of math and become the boss of the formulas.
Approximation is a useful tool in math, as it allows you to make reasonable estimations based on given data. This skill can be developed through practice and can help you solve problems more easily in your head. Additionally, estimation involves making educated guesses and using shortcuts to arrive at approximate answers.
When refining your conjecture, it's important to create customized simple problems to test the rules being applied. If the math rules don't give you the right answer, you can use a few tests to get back on track. By leveraging your existing knowledge and intuition, you can have a better mastery of math and understand how it all hangs together.