Category: Math

READ THIS Before Solving Word Problems

Many of my tutoring clients who work with me on Algebra tell me that they have difficulty with word problems.  They can do the math, they say, they just have a hard time figuring out what the question is asking them.  If this applies to you, please read on because I will show you a…
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Graph of function f(x), with its matching Taylor series p(x)

What You Need to Know To Understand TAYLOR SERIES

One Calculus topic that seems to challenge my tutoring clients every year is the topic of Taylor series.  It usually comes up near the tail end of their Calculus class, and it is touted as a method to come up with an “approximation” to a function.  Most Calculus textbooks introduce Taylor series with a scary-looking…
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Transformed cosecant curve

Why You Need The EIGHT BLANKS METHOD To Make Trigonometry Graphs A Snap, Part 2: Tangent, Cotangent, Secant, and Cosecant

In part 1 of this blog series, I shared a foolproof method for graphing transformed sine and cosine functions using the Eight Blanks method.  I am going to show you how to extend this method to cover the other four trigonometric functions you typically encounter in Trig class: tangent, cotangent, secant, and cosecant. The base…
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Transformed sine curve

Why You Need The EIGHT BLANKS METHOD To Make Trigonometry Graphs A Snap, Part 1

One of the big challenges my tutoring clients often face in Trigonometry class comes when they are asked to graph trigonometric functions with different amplitudes, periods, and shifts.  Even when clients understand the basic principles, they often find it hard to keep track of and condense all the information they are given into one single…
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Folded box for optimization problems

The RIGHT Way To Solve Optimization Problems

Your Math class may have introduced you to a type of word problem called an optimization problem, sometimes referred to as a min / max problem.  The objective of these is always the same: to find the maximum or minimum possible value of some quantity named in the problem.   The weird thing about these problems…
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