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Showing posts from April, 2025

The Two-Fisted Approach

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If you were a boxer, would you rather fight with two hands, or with one tied behind your back? Of course, two hands would be best. Likewise, a two-fisted strategy in attacking SAT/ACT math questions is superior to a one-dimensional, purely analytical approach.  Secure command of several key multiple-choice math strategies enables students to correctly answer questions that would otherwise be difficult, time-consuming, or impossible to answer.  When answering multiple-choice math questions, students always have two options. Plan A: Do the Math If math is easy, just do the math. Make drawings. Show your work. Write out all the steps. Internally verbalize your work to avoid careless mistakes. Plan B: Use a Strategy If the math isn’t easy, use a strategy! Make it real, and keep it simple. Dozens of useful strategies can make correctly answering difficult SAT/ACT math questions much easier. Fortunately, it’s not necessary to master them all. A small number of tricks confer most of ...

The Two-Fisted Approach

Image
If you were a boxer, would you rather fight with two hands, or with one tied behind your back? Of course, two hands would be best. Likewise, a two-fisted strategy in attacking SAT/ACT math questions is superior to a one-dimensional, purely analytical approach.  Secure command of several key multiple-choice math strategies enables students to correctly answer questions that would otherwise be difficult, time-consuming, or impossible to answer.  When answering multiple-choice math questions, students always have two options. Plan A: Do the Math If math is easy, just do the math. Make drawings. Show your work. Write out all the steps. Internally verbalize your work to avoid careless mistakes. Plan B: Use a Strategy If the math isn’t easy, use a strategy! Make it real, and keep it simple. Dozens of useful strategies can make correctly answering difficult SAT/ACT math questions much easier. Fortunately, it’s not necessary to master them all. A small number of tricks confer most of ...

The Two-Fisted Approach

Image
If you were a boxer, would you rather fight with two hands, or with one tied behind your back? Of course, two hands would be best. Likewise, a two-fisted strategy in attacking SAT/ACT math questions is superior to a one-dimensional, purely analytical approach.  Secure command of several key multiple-choice math strategies enables students to correctly answer questions that would otherwise be difficult, time-consuming, or impossible to answer.  When answering multiple-choice math questions, students always have two options. Plan A: Do the Math If math is easy, just do the math. Make drawings. Show your work. Write out all the steps. Internally verbalize your work to avoid careless mistakes. Plan B: Use a Strategy If the math isn’t easy, use a strategy! Make it real, and keep it simple. Dozens of useful strategies can make correctly answering difficult SAT/ACT math questions much easier. Fortunately, it’s not necessary to master them all. A small number of tricks confer most of ...

Advanced Math Tricks

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SAT/ACT math sections often contain questions requiring advanced techniques, and students are expected to creatively problem-solve their way out of these unfamiliar boxes (this is especially true of the difficult second module of the SAT). Although these questions are challenging and unpredictable by nature, two solution methods have emerged that can be studied. Compound Expressions These are simple expressions with more than one part. Such questions might ask students to find 4x + y, for example, rather than simply x or y. When encountering compound expressions questions, students are usually tempted to first find the values of the unknowns, one at a time, and then substitute them into the compound expression itself. But on the SAT/ACT, this is never the best way to solve the problem. It’s faster and easier to deduce a clever way to create the compound expression directly from what’s given. For example, suppose you’re given that 15n – 5m = 70, and asked to find the value of 3n – m. N...

Advanced Math Tricks

Image
SAT/ACT math sections often contain questions requiring advanced techniques, and students are expected to creatively problem-solve their way out of these unfamiliar boxes (this is especially true of the difficult second module of the SAT). Although these questions are challenging and unpredictable by nature, two solution methods have emerged that can be studied. Compound Expressions These are simple expressions with more than one part. Such questions might ask students to find 4x + y, for example, rather than simply x or y. When encountering compound expressions questions, students are usually tempted to first find the values of the unknowns, one at a time, and then substitute them into the compound expression itself. But on the SAT/ACT, this is never the best way to solve the problem. It’s faster and easier to deduce a clever way to create the compound expression directly from what’s given. For example, suppose you’re given that 15n – 5m = 70, and asked to find the value of 3n – m. N...

Advanced Math Tricks

Image
SAT/ACT math sections often contain questions requiring advanced techniques, and students are expected to creatively problem-solve their way out of these unfamiliar boxes (this is especially true of the difficult second module of the SAT). Although these questions are challenging and unpredictable by nature, two solution methods have emerged that can be studied. Compound Expressions These are simple expressions with more than one part. Such questions might ask students to find 4x + y, for example, rather than simply x or y. When encountering compound expressions questions, students are usually tempted to first find the values of the unknowns, one at a time, and then substitute them into the compound expression itself. But on the SAT/ACT, this is never the best way to solve the problem. It’s faster and easier to deduce a clever way to create the compound expression directly from what’s given. For example, suppose you’re given that 15n – 5m = 70, and asked to find the value of 3n – m. N...