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Inscribed Angle and Conjectures 150 150 SchoolTutoring Academy

Inscribed Angle and Conjectures

An inscribed angle is an angle formed by two chords in a circle which meet at a common point. This common endpoint forms the vertex of the inscribed angle. The other two endpoints of the chords define intercepted arc on the circle. In the figure above ABC is an inscribed angle and AC is an…

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Heron’s Formula: Area of a Triangle 150 150 SchoolTutoring Academy

Heron’s Formula: Area of a Triangle

Heron’s formula is used to calculate the area of a triangle if all three sides are known. It is called “Heron’s Formula” after Hero of Alexandria who was a Greek Engineer and Mathematician. According to Heron’s Formula, area of a triangle whose sides are a, b, and c is given as:        …

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Review of Adjectives 150 150 SchoolTutoring Academy

Review of Adjectives

An adjective is a word, a phrase or a clause used to describe a noun. Adjectives are invariable. They do not change their form depending on the gender or number of the noun. Adjectives describe nouns by answering one of these three questions: What kind is it? How many are there? Which one is it?…

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Types of Triangles 150 150 SchoolTutoring Academy

Types of Triangles

Triangles are polygons with 3 sides and 3 angles which always add up to 180°. Types of triangles may be classified by their sides, by their angles or by a combination of both sides and angles. The table below shows the classification of triangles:                      …

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Electron Review: Valence Electron and Valency 150 150 SchoolTutoring Academy

Electron Review: Valence Electron and Valency

Valence electron is an electron of an atom located in the outermost shell of the atom and can be transferred to or shared with another atom. It is most likely to be involved in a chemical reaction. These electrons belong to the highest value of the principle quantum number. Valence electrons are important in determining…

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Electron Configuation 150 150 SchoolTutoring Academy

Electron Configuation

Electron configuration was first conceived of under the Bohr model of the atom. Electrons revolve around the positively charged nucleus (made of neutrons and protons) in orbits called shells. Each shell can hold up to 2n2 electrons, where n is the shell number. The shell closest to nucleus is called the ‘K shell’ (also called…

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Chemistry Review: Electron Shells and Subshells 150 150 SchoolTutoring Academy

Chemistry Review: Electron Shells and Subshells

An atom is a basic building block of matter around us. Each atom is consists of the fundamental particles: negatively charged electron, positively charged proton and neutral neuron. Shells Electrons revolve around the positively charged nucleus (made of neutrons and protons) in orbits called shells. The shell closest to nucleus is called the ‘K shell’…

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Core Math Concepts: Greatest Common Divisor 150 150 SchoolTutoring Academy

Core Math Concepts: Greatest Common Divisor

The greatest common divisor (gcd), also known as highest common factor (hcf), or greatest common factor (gcf), of two integers a and b is defined as the largest integer that divides both a and b without remainder. The greatest common divisor of two integers a and b is denoted as gcd(a, b). Example: Greatest common…

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Physical and Chemical Changes 150 150 SchoolTutoring Academy

Physical and Chemical Changes

Physical changes Physical changes are changes that do not affect the chemical composition of a substance. No new product is formed during physical change. Physical changes are concerned with energy and states of matter. Many physical changes are reversible using physical means. For example, salt dissolved in water can be recovered by boiling the water…

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Variance and Standard Deviation 150 150 SchoolTutoring Academy

Variance and Standard Deviation

The variance and standard deviation are measures of how spread out a distribution is. These are widely used to measure variability or diversity. Standard deviation is a number that indicates how much on average each of the values in the distribution deviates from the mean (or center) of the distribution. Variance measures the same thing…

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