C Area Volume And The Fun Behind Shapes
The visual representation of any number squared is a square. The visual representation of any number cubed is a cube. That is either painfully obvious or you just had your mind blown.
The real fun begins when you start to see it applied to other shapes.
There are some beautiful relationships between the 2 and 3-dimensional versions of shapes. The idea isnt to memorize the exact relationships but to see that nearly every math idea has a real physical component that can help you grasp the underlying abstract concepts.
This not only makes learning math purposeful, but I always felt like understanding the physical ideas behind the numbers made it more fun and interesting.
Much of math becomes easier to study if you figure out the visual representations of an idea. Every topic you learn can be represented on the number line, the cartesian plane, or in the form of a shape.
Understand Rather Than Memorize Math
All too often, students will try to memorize a procedure or sequence of steps instead of looking to understand why certain steps are required in a procedure. For this reason, it’s important for teachers to explain to their students the why behind math concepts, and not just the how.
Take the algorithm for long division, which rarely makes sense unless a concrete method of explanation is fully understood first. Typically, we say, “how many times does 3 go into 7” when the question is 73 divided by 3. After all, that 7 represents 70 or 7 tens. The understanding of this question has little to do with how many times 3 goes into 7 but rather how many are in the group of three when you share the 73 into 3 groups. 3 going into 7 is merely a shortcut, but putting 73 into 3 groups means a student has a full understanding of a concrete model of this example of long division.
Strategy : Memorize The Formulas And Common Math Facts
If you’re still flipping to the front of the section to look at the math formulas, you haven’t gotten to understand SAT Math well enough yet.
Not only does this cost you time, it also indicates that you haven’t practiced enough with SAT Math to have the required formulas come to you fluidly.
Memorize the formulas at the front of the section and these common math facts:
- calculating slope from two points
- remainder when dividing a polynomial
- common right triangles:
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Strategy : Use Only Realistic High
After reading the three strategies above, you might be hyped up to go out and practice.
The question is – what are you actually going to use to study? Books? A prep program?
Be really careful about which sources you choose to use. Honestly, most of them are pretty bad.
To begin with, most books that claim to be adapted for the New SAT are actually just minimally edited versions of their Old SAT books. Math has changed a lot between the two versions of the test, both in terms of which skills are tested and how the questions are structured. The worst books copy over the exact same questions from the Old SAT book – this is hugely misleading and can end up wasting a ton of your time with no improvement in score.
Second, a lot of prep programs and books don’t have very realistic SAT Math questions. They’re either too hard, too easy, or structured incorrectly. The root of this problem is lack of true understanding of the SAT Math section. Without going through a full question by question analysis of the test, you really can’t understand the test deeply. This means your materials will be terrible.
OK – so what do you use?
The very, very best sources for SAT Math questions is the Official SAT Tests. This is why as part of PrepScholar, we include these official practice tests to gauge your progress and train you on the real thing.
This means to get enough SAT Math practice, you DO need to use extra materials.
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Synonyms Of The Symbols
The essence of math is the way one thing is always exchangeable for another. In this way, we can make problems easier to work with.
5/7 is the same thing is 5 *. Depending on your problem, one form may make more sense to use than another. This doesnt just work for the numbers as well.
Learn different ways to express the same idea. For example:
- Adding a negative number is the same thing as subtracting its positive equivalent.
- Multiplication is the same thing as adding the same amount together as many times youre multiplying it.
- Dividing a fraction by a number is the same as multiplying by that numbers inverse.
These are just little examples of learning how to look at math as an interchange of ideas.
Some versions of ideas are easier to work with than others. Sometimes, we just need a different perspective to help us realize that we understand whats going on.
Math Is Not A Spectator Sport Get Active
Unlike some subjects, math won’t let students be a passive learner math is the subject that will often put them out of their comfort zones, but this is all part of the learning process as students learn to draw connections between the many concepts in math.
Actively engaging students’ memory of other concepts while working on more complicated concepts will help them better understand how this connectivity benefits the math world in general, allowing for seamless integration of a number of variables to formulating functioning equations.
The more connections a student can make, the greater that student’s understanding will be. Math concepts flow through levels of difficulty, so it’s important that students realize the benefit of starting from wherever their understanding is and building on core concepts, moving forward to the more difficult levels only when full understanding is in place.
The internet has a wealth of interactive math sites that encourage even high school students to engage in their study of math be sure use them if your student is struggling with high school courses like Algebra or Geometry.
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Strategy : Keep A Calm Mind During The Test No Matter What
Now you know what it takes to achieve perfection on SAT Math.
You know that it’s critical to get a perfect raw score, or you might score a 780.
This makes a lot of students freak out during the test.
“I can’t solve this question…my 800 is gone…I’m getting more nervous and I have to skip the next question too…”
You can see how quickly you can unravel like this. Before you know it, you’re scoring way worse than you ever did on a practice test.
You need to learn to be mentally strong, like an athlete on game day.
Yes, you might have to skip a question on the first pass through. Maybe even two in a row.
But you’ve practiced hard up to this point. You know this stuff, and you’ll come back to those questions and get it later.
You need to keep up a positive mindset during the test, or you’ll crumble.
And in the worst case, maybe you won’t get an 800. But if you’ve consistently been getting 800’s on the practice tests, you likely won’t go much lower than 750and that’s still really good.
Start With Simple Questions
Just like anything, your child needs to start small before tackling more advanced concepts. Before mastering tougher math problems, your child should have a good handle on the basics. A solid foundation is especially important in math, where concepts and knowledge build upon themselves.
Have your child start with simpler math questions before moving on to advanced concepts. This will ensure that he or she has the basics down, while also providing a good confidence boost to take on those advanced questions when they come.
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How To Get Good Grades
Some students just have everything together. They earn awesome grades, but they’re also successful on other fronts. Opportunities always seem to find them, and they’re always prepared for what’s coming next. Watch this video about habits of highly successful students.
1. Motivate yourself
If you are not satisfied with your grades, do not get down on yourself – try self-motivation instead. Believe in yourself and encourage yourself to stay focused on your work. Pick a goal or series of goals, and use that as your motivation.
2. Listen and participate in class
It may be hard, especially if you have a shy personality, but participation will show your teacher that you do really care about their subject and want better grades. Teachers typically base the grades on various factors, and participation is one of them.
If you are shy, for more confidence you can write down the questions before the class and then ask them. Another trick is to have a seat closer to the teacher, so they can get to know you even more.
3. Take thorough notes during a class
This will ensure that you do not miss any important information. Note taking is an important skill that can translate to better grades in college as well.
4. Do not hesitate to ask for help
If you are experiencing problems with certain subjects, you can always ask your teacher or peers for help after the class. Another option is to ask your parents if they can afford a private tutor for you.
5. Stay focused during your homework
How To Take Tests
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Strategy : Don’t Overly Depend On The Calculator
As you likely already know, Section 3 is a Math section forbidding the use of calculator, with 20 questions. Section 4 is a Math section that allows calculator, with 38 questions.
The calculator is really useful for certain questions that require complex calculations, like multiplying decimals together or taking square roots of weird numbers.
However, in many other situations, it’s too much of a crutch, and it can make you soft. Learning to solve questions without the use of a calculator will strengthen your math intuition and force you to understand the underlying math, rather than relying on a calculator.
Actually, every question on the SAT is solvable without a calculator. Because the College Board cares a lot about equality, it doesn’t want to give an unfair advantage to students who have grown up with graphing calculators compared to students who can’t afford them or never used them in school. So it designs questions that don’t require advanced calculators to solve.
Practically, this is important because some of the no-calculator questions are solvable with a calculator, and you need to wean yourself off of the calc. Here’s an example:
Yesyou can solve this by plugging it into your graphing calculator’s systems of equations tool. But this appears on the no calculator section, so you have to get used to solving this with pen and paper.
How I would naturally approach is to factor first:
0 = t
How To Get Better At Math In 7 Simple Steps
How did I go from being a poor math student in high school to getting a degree in physics? This article details the simple step-by-step method I used to grasp basic arithmetic, higher-level calculus, and every concept in between.
This post will teach you how to get better at math faster and with less studying. Youll still have to study, but it tells you the right things. to focus on.
A common issue with most people is that they think math skills are innate. They believe that either you get math or you dont.
In high school, I had this issue as well. I figured that I didnt get the math gene because of this, there was no chance of me doing anything in my future that required crunching numbers, writing computer programs, or science.
According to psychology, I was a victim of a fixed mindset. I simply didnt think I could actually get better at math. Or at the very least, I wasnt willing to sacrifice the time and energy necessary to get my math grade and number skills up.
I was one of those students who actually took pride in my lack of math skills. I avoided challenging myself with more difficult and interesting math and science courses. Beyond what was mandatory, I only took biology so that I could avoid math-heavy physics and chemistry courses
If I couldnt rely on memorization to get through the class, I didnt want to study it.
I ordered my high school transcripts to look at my math grades. As you can see, I was not.
Fast forward 14 years to 2018.
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Learn Online Or Teach Yourself
Its never been easier to learn math at your own pace. Everybody can learn and apply it in different ways, but a few options include:
- Free online courses on YouTube, such as PatrickJMT, a community college mathematics professor who posts short single-topic instructional videos.
- Interactive course books like those available at Khan Academy.
How To Study Smarter To Get Better Grades In School Or College
After spending time studying for tests, many students are puzzled when they do not get better grades. Perhaps it’s not the amount of time spent studying, but rather how they study. Getting better grades involves dedicating time and space for studying, discovering how you learn best and studying for understanding. In other words, to get better grades, dont just study — study smarter.
Explore this article
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What Is The Format Of The Math Sat
The SAT actually contains two separate math tests. The scores for each of the math tests are combined into one single scaled Math score ranging from 200-800. The SAT Math tests consist of 58 questions completed over the course of 80 minutes. Most of these questions are multiple-choice, but 13 are grid-in questions that require you to come up with your own response rather than selecting your answer from the available choices.
The first Math SAT test that youll take is called the Math Test Calculator. As the name implies, you are allowed to use your calculator on this portion of the SAT. The test consists of 30 multiple-choice questions and 8 grid-in answers, which youll complete over the course of 55 minutes.
The second Math SAT test that youll take is the Math Test No Calculator. As you might have guessed, you are not allowed to use a calculator on this part of the SAT. This section contains 20 questions, including five grid-in answers. You will have 25 minutes to complete the questions in this section.
Strategy : Eliminate Careless Mistakes
Careless mistakes are one of the most frustrating types of errors to make, and nearly everyone makes them, especially on Math.
You know the underlying material, you know how to solve the question, and you’re feeling good. But then you grade the quiz, and you find a careless mistake.
Oopsthe question asked for the perimeter of the circle and not the area, which is what you calculated.
These types of errors are the most costly and frustrating. You’ve already put in a ton of work to master the underlying material, and here a question has tricked you into losing a point.
This is why finishing the test early, like I mention above, is so helpful. You get extra time to take a breather and double-check your answers.
If you find that careless mistakes are a recurring problem for you, here are some strategies to get rid of them:
- In the question, underline what the question is specifically asking you to solve for. It’s so easy for the SAT to trick you into solving the wrong thing.
- If you’re solving for a particular value , write the units down in the scratch space.
- Be careful with calculator entry. A missing parentheses makes a big difference. “4 + 9 / 2″ is completely different from ” / 2″
- Avoid bubbling errors by using the Quick Tip above.
Here’s an example:
This question is asking us to solve for y + z. Not x, y, or any other combination of variables.
You can bet that in many answer choices, the SAT will have trap answers for other things you can solve for, like x. .
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