J.
(3) From Class N 43 upwards a sound working knowledge of decimal approximations, significant figures and contracted methods of multiplication and division is necessary.
(4) Except the bare definition, no work in recurring decimals is necessary till Class I is reached.
(1) Square root: Special attention is to be paid to the method of evaluating such expressions as:-
1
7
19
√ 5-1
(2) Cube root. Up to Class I only such operations as can be effected by factors should be performed.
G-Graphs. From Class 3 upwards special attention should be given to Chapter XV, Hall and Stevens' Arithmetic.
II. Interest. It is often advisable to use the method of aliquot parts. In Compound Interest when the number of years is large, logarithms must be used.
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K. Problems. Students should be encouraged to attempt these at any stage, but the questions should as a rule be set as Home Work.
ALGEBRA.
1. It is very important that the meaning of the definitions, of Expression, Term, Factor, Product, and Co-efficient be made quite clear to the student at all stages. Pupils even in the upper Classes sometimes find it hard to discriminate between X'+A2, (X+A)2, 2(X+A), etc.
B. In questions of Multiplication, Division, Square Root, Cube Root, and H.C.F the use of Detached co-efficients in all possible cases should be the rule after the ordinary full process has been well practised. Classes 2 and 1 should be able to use the method with ease.
(Frequent oral lessons should be given in the case of the simpler factors X±A3, A3±X3, A2±2AB+B2, A3±3AB+3A2B2±B3, and in the expansions (X±A)2, (X±A)3 with easy variations upon them.
D.---Verifications of the solutions of all equations and frequent examples on substitutions, especially in the application of well-known algebraic formula in Mensuration, etc., should be insisted on.
E. -In Classes 2 and 1 attention should be paid to the solutions of literal equations, cyclic order by the examples on the Remainder Theorem.
F-In Class 3 the graphs of straight lines and solution of problems involving the solution of simple simultaneous equations should be treated. Class 3 should also be able: