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Digital SAT Math and Maps-Catch

Maps-Catch

Digital SAT Math and Maps-Catch doesn't seem to be a specific program or concept related to the SAT exam. However, it seems to combine two areas tested on the SAT: math and reading comprehension.The term "Maps-Catch" might not be directly related to the Digital SAT, but it highlights the connection between the math skills and map reading comprehension tested on the exam.

A simple mnemonic to help you understand some of these basic tasks is “Maps-Catch”.

M Mapping the problem- representing the problem situation and goal in your "working memory".
A Analyzing the problem – breaking it apart into its relevant pieces.
P Pattern- finding – using "inductive reasoning" to make generalization from specific examples.
S Simplifying – reducing the information you must process by applying a simplification theorem.
C Connecting the Knowledge – recalling relevant theorems, meaning, and other concepts that relate to the problem situation.
A Alternative- finding- consideration different approaches to mapping, analyzing, pattern-finding, or applying procedures to the problem
T Thinking logically- using deductive reasoning to draw specific conclusions from general theorems.
CH Checking- verifying the results of your thinking against the problem situation itself, and assuring yourself that the solution "works".

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1. Mapping Problem

To solve any tough problem first we have to map it, that is the basic problem situation and the goal. If you map a problem correctly, you will save yourself a lot of time and effort.

Think about the problem

  • Represent all the useful information.
  • Know the restrictions on the unknown.
  • Know the definitions of all the terms.
  • Know whether the unknowns in the problem are variables or constants.

Understand the Goal

  • Know what exactly the problem is asking for.
  • Notice whether the question is multiple choice; if so, what is the range of the answer choices?
  • How are the choices (fractions, decimals, radicals, algebraic) expressed.

Use the test for scratchwork

  • Underline keywords in the problem, and use the space on the test to do any diagram, notes, tables you need.

Avoid the common confusion

  • Avoid misreading the problems by overlooking or misinterpreting key terms.
  • Perimeter Area
  • Circumference formula
  • Area formula

Don't rush- Avoid Quick Gimmick

  • Always read the whole problem carefully before deciding how to solve it.
  • Careful mapping will save your overall time.

2. Analyzing Problem

Analyzing problems means breaking complicated problems down into smaller parts. Here’s a breakthrough:

  • Focusing on the current step will eventually lead to the bigger goal.

  • Emphasizing the idea of working through steps to get to an answer.

3. Finding Patterns

Here’s a guideline to finding patterns of the problems:

  • Look for repetition.

  • Explore around to find the relationships-this will lead you to find simple patterns or relationships.

  • Sequence questions- To know the problem and deeply analyze it.

4. Simplifying Problem

Once the problem is represented and analyzed, you have “too much information”, try to simplify the problem. To simplify simply means to reduce the amount of information you have to think about. There are several ways to simplify the problem, here’s is:

Look for the direct route, the “beeline” Many problems can be simplified greatly by simply avoiding the knee-jerk response, mapping the problem well, and looking for the direct route – the “beeline”- from the given information to the information you want.
Substitute to Simplify Many problems can be simplified greatly by simply avoiding the knee-jerk response, mapping the problem well, and looking for the direct route – the “beeline”- from the given information to the information you want.
Combine to Simplify To combine parts that can be easily combined is another way to simplify the problem.
Cancel to Simplify

The easiest way to simplify this is to cancel the common factors.

 

 

 

5. Connecting to Knowledge

What You Need and What You Don’t, in order to solve your problem. You should never need to do complicated calculations to solve digital math problems.

Make the connections.

To solve the math problems, you have to make quick connections to key math facts.When you understand how useful they are you will better understand how to solve problems.

  • Rate Problems

  • Mean/Median/ Mode Problems

  • Right Triangle Problems

  • Parallel Lines Problems

6. Finding Alternatives

There is rarely one way to solve the digital SAT math problems. Understanding different approaches to a problem also gives you a great way to check your work: if two different approaches give you the same answer, you are almost certainly right.

  • Testing the Choices – If the choices are given in numerical order, start by testing choice (C). If there is no pattern to the choices, start with the number that’s easiest to test.

  • Plugging In – If choices in a multiple-choices question contain unknown, you can usually “plug in” simple values for the unknowns to simplify the problem. If more than one choice gives the right answer, plug different numbers in.

7. Thinking Logically and Checking

Guessing and checking is the essence of good mathematical reasoning. Don’t hesitate to guess and check to solve problems, as long as you’re logical with your guesses and careful with your checking.

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