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Expanding From Factored Form 150 150 SchoolTutoring Academy

Expanding From Factored Form

The factored form of a quadratic is useful for finding the roots and other properties but sometimes it is useful to expand in order to simplify the equation. Expanding from factored form uses the distributive property of real numbers which states for real numbers x and y, c (x + y) = cx + cy…

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Greatest Common Factor and Lowest Common Multiple 150 150 SchoolTutoring Academy

Greatest Common Factor and Lowest Common Multiple

Being able to determine the greatest common factor (GCF) and least common multiple (LCM) of a set of numbers is a very useful skill. For those who are unsure of what GCF and LCM are: GCF (Greatest Common Factor): The highest number that divides exactly into two or more numbers. LCM (Least Common Multiple): The…

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Algebra: How to Improve Your Factoring 150 150 SchoolTutoring Academy

Algebra: How to Improve Your Factoring

Factorization is the decomposition of an object (number, polynomial, and matrix,etc). It is an important way of finding answer(s) for a polynomial. It also helps with simplification of polynomials. A well developed factoring skill will help you answering algebra questions faster, but a lot of high school students are having problems with it. Here are…

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Long Division: A How To 150 150 SchoolTutoring Academy

Long Division: A How To

While long multiplication involves multiplying and addition, long division includes dividing and subtraction.   For example, 37 / 5 To solve this question, you need to find the quotient first. Let’s pick 8 as a quotient, then 5 x 8 = 40 > 37 Which means that 8 cannot be a quotient. Let’s pick 7…

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DNA Repair Mechanisms 721 292 School Tutoring

DNA Repair Mechanisms

We have very good DNA machinery that replicates DNA to make many different copies. However, this machinery in our cells is not perfect. With so much DNA replication going on, there are bound to be some mistakes and errors made during this process. These errors lead to mutations and if not corrected, it may be…

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The Rules of Differentiation 792 658 School Tutoring

The Rules of Differentiation

Differential can seem like a lengthy and complicated process when done through first principles. Luckily for math students everywhere, there are a number of rules which can be used to preform differentiation much more quickly. Here I will outline four rules commonly taught in high school calculus courses: the power rule, the product rule, the…

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Pairs of Straight Lines: An Introduction 150 150 SchoolTutoring Academy

Pairs of Straight Lines: An Introduction

There are several formulae and equations used for the interactions of straight lines. We will explore those below: Consider the equation (ax+by+c)(px+qy+r)=0 which is of second degree equation in two variables x and y. The equations ax+by+c=0 and px+qy+r=0 are linear in x and y and so, either of them represents a straight line. Let…

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Concurrent Lines and Point of Concurrency 150 150 SchoolTutoring Academy

Concurrent Lines and Point of Concurrency

Concurrent lines all intersect at the same point, and all meet at a central location in a shape. How these are found, and calculated differ based on the individual shape. Let us explore how some shapes utilize concurrent lines. Medians-Centroid: A line drawn from any vertex to the mid point of its opposite side is…

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Cognitive Character Education 150 150 Suzanne

Cognitive Character Education

When we send our children to school we can expect that schools will focus on their character education.  Although ‘Character Education’ is not a formal class, most schools have a formal policy that oversees character education and suggests ways in which it can be integrated into daily teaching and learning. Character, or moral, development has…

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Locus – A Curve 150 150 SchoolTutoring Academy

Locus – A Curve

Locus is a set of points where each point satisfies a given specific condition. Thus, locus is usually a curve. In particular, a locus can be a circle, a line, a parabola, a hyperbola, etc. The locus of points which are at a constant distance r from a fixed point O is a circle. Here…

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