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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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Cognitive Friday: Holiday Shopping 150 150 Suzanne

Cognitive Friday: Holiday Shopping

The holiday season is a special time for families. It is also a very special time for retailers, a segment of business that has mastered their understanding of the cognitive processes which people bring to the shopping experience. Consumer behaviors have been studied at length by marketers to understand how to get people to buy…

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Angle Between Pair of Straight Lines 150 150 SchoolTutoring Academy

Angle Between Pair of Straight Lines

Angle between pair of straight lines: We know that the equation ax2+2hxy+by2=0 represents a pair of straight lines passing through origin and hence it can be written as product of two linear factors, ax2+2hxy+by2= (lx+my)(px+qy), where lp=a, mq=b and lq+mp=2h. Also, the separate equations of lines are lx+my=0 and px+qy=0. So, the angle between the…

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Dimensional Analysis 310 74 School Tutoring

Dimensional Analysis

Dimensional Analysis can be very useful when you come across a situation where you forget a formula that applies to certain values. This method is also proven to be beneficial when converting between units within a problem. For example, you are asked to find the time it took for a car to travel 200 meters…

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