JSS 3 Mathematics Second Term Week 5 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
SSS 1 SECOND TERM MATHEMATICS WEEK FIVE Topic: IDEA OF SETS Definition and Notation A set can be defined as a collection of objects according to a well defined common elements or property. The main purpose of this their common property is foe easy identification. For instance, we hear of under 13 football players, meaning
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JSS 3 Mathematics Second Term Week 3 Topic: COMPOUND INTEREST Simple Interest Interest is the payment given for saving money. It can also be the price paid for borrowing money. When interest is calculated on the basic sum of money saved (or borrowed) it called simple interest. To find the simple interest, use this formula:
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JSS 2 Mathematics Second Term Week 5 Topic: SOLVING EQUATIONS Solving Equations (1) 2x – 9 = 15 is an equation in x. x is the unknown in the equation. 2x – 9 is on the left-hand side (LHS) of the equals sign and 15 is on the right-hand side (RHS) of the equal sign.
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JSS 3 Mathematics Week 4 Topic: GEOMETRICAL CONSTRUCTION Using ruler and compasses Remember the following when making geometrical constructions. 1. Use a hard pencil with a sharp point. This gives thin lines which are more accurate. 2. Check that your ruler has good straight edge. A damaged ruler is useless for construction work. 3. Check
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JSS 3 Mathematics Second Term Week 1 Topic: FACTORISATION OF QUADRATIC EXPRESSIONS You can also factorise quadratic expressions. Remember that factorizing an expression simplifies it in some way. Factorizing is the reverse of expanding brackets. Factorizing Quadratic Expressions Multiply these brackets to remind yourself how to factorise. ( x + 2 ) ( x +
Similarity and Congruence Two objects are similar if they have the same shape, so that one is an enlargement of the other. Two objects are congruent if they are the same shape and size. Corresponding angles are equal. Corresponding lengths are in the same ratio – they have the same Scale Factor. The scale factor is greater than 1 for an enlargement. The scale factor
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Geometric Series You can take the sum of a finite number of terms of a geometric sequence. And, for reasons you’ll study in calculus, you can take the sum of an infinite geometric sequence, but only in the special circumstance that the common ratio r is between –1 and 1; that is, you have to have | r |
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Change of Subject of Formulae A formula is an equation which specifies how a number of variables are related to one another. Formulas are written so that a single variable, the subject of the formula, is on the left hand side of the equation. Everything else goes on the right hand side of the equation.
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