Math isn't my strongest subject, but I'm determined to improve since it plays such a big role in my GPA and test scores. As a junior, I'm prepping for the upcoming SAT and also looking to solidify my basics before senior year. What are some of the key math formulas I should definitely know by heart? Also, any tips on how to actually memorize these formulas and apply them effectively in exams?
You're indeed right that understanding and memorizing key math formulas can significantly help your academic performance, especially in exams like the SAT. Below are few foundational formulas that can be crucial:
1. Quadratic formula: x = [ -b ± sqrt(b² - 4ac) ] / 2a
2. Pythagorean theorem: a² + b² = c²
3. Distance formula: √[(x₂ - x₁)² + (y₂ - y₁)²]
4. Slope formula: (y₂ - y₁)/(x₂ - x₁)
5. Area formulas for basic shapes: rectangle (LW), triangle (1/2bh), circle (πr²)
6. Volume formulas: cube (s³), cylinder (πr²h), sphere (4/3πr³)
As for memorizing these formulas, repetition is key. Write them down multiple times, and if you're a visual learner, use different colored pens or highlighters. Explain what each part of the formula means - this can help solidify your understanding and memorization.
When it comes to application, practice through problems that require the use of these formulas. Sites like Khan Academy offer a broad range of practice problems for each topic, and they're perfect for SAT prep as well. Remember, the goal is not just to memorize the formula, but to understand when and how to use it. Solving diverse problems allows you to see the formula in different contexts, which enhances your ability to apply it in exams effectively.
Good luck with your studies! Perseverance will surely pay off.
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