Mathematics

Classwork Series and Exercise {Mathematics – JSS3}: Proportion

Topic: PROPORTION – DIRECT, INVERSE AND RECIPROCALS Direct proportion If two quantities are in direct proportion, as one increases, the other increases by the same percentage. If y is directly proportional to x, this can be written as y ∝x A simple example of two things that are in the same proportion is the amount

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Classwork Exercise and Series (Mathematics- JSS 3): Substitution and Change of Subject

JSS 3 Mathematics First Term Week 6 Topic: FORMULAE: SUBSTITUTION AND CHANGE OF SUBJECT Formulae and substitution A formula is an equation with letters which stands for quantities. For example C = 2πr Is the formula which gives the circumference, c, of a circle of radius r. In science, I = V/R Is the formula

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Classwork Series and Exercises {Mathematics- SS2}: Surds

Introduction Where does the word SURD come from? Around 820AD the famous Persian Mathematician al-Khwarizmi saw irrational numbers (namely numbers that cannot be written as fractions) as “inaudible numbers”. The LATIN for “inaudible” is “SURDUS” and so from this comes our use of the word SURD. We now use SURD for a number which we

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Classwork Exercise and Series (Mathematics- SS3): Problems On Trigonometric Graphs Of Cosine And Sine

Harder problems On Trigonometric Graphs Of Cosine and Sine To see how the sine and cosine functions are graphed, use a calculator, a computer, or a set of trigonometry tables to determine the values of the sine and cosine functions for a number of different degree (or radian) measures (see Table  1). Next, plot these

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Classwork Exercise and Series (Mathematics- SS3): Spherical Geometry And Bearing

Bearings A directional compass is shown below.  It is used to find a direction or bearing. The four main directions of a compass are known as cardinal points.  They are north (N), east (E), south (S) and west (W).  Sometimes, the half-cardinal points of north-east (NE), north-west (NW), south-east (SE) and south-west (SW) are shown

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Classwork Series and Exercises {Mathematics- JSS3}: Formulae and Change of Subject

Formulae and Substitution A formula is an equation with letters which stands for quantities. For example C = 2πr Is the formula which gives the circumference, c, of a circle of radius r. In science, I = V/R Is the formula which shows the relationship between the current I amps, voltage, V volts, and resistance,

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