1890 Programme of Study - Overview
 

ARITHMETIC - MENTAL & WRITTEN

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Prescribed Learning Outcomes - General

 

Pupils will have a good general knowledge of numeration, notation, the four simple and compound rules, reduction, vulgar and decimal fractions, proportion, simple interest and percentage, compound interest, and discount.

Pupils will be able to perform readily and properly any financial business transactions, and be able to keep accounts correctly.

Pupils will be able to solve, mentally, any ordinary problems.

  Prescribed Learning Outcomes - By Grade Level

 

 

 

 

 

First Class: Arabic Notation to 1,000.  Addition and Subtraction.  Simple questions in Mental Arithmetic.

Second Class: Arabic Notation to 1,000,000, and Roman Notation to M.  Arithmetical tables.  Simple Rules and Reduction.  Simple questions in Mental Arithmetic.

Third Class: Arabic and Roman Notation to four periods, Compound Rules, Least Common Multiple and Gr. Com.  Measure and Vulgar Fractions to Reduction, inclusive.  Mental Arithmetic.

Fourth Class: Principles Arabic and Roman Notation. Vulgar Fractions, Decimal Fractions, Simple Proportion, with reasons of rules.  Mental Arithmetic.

Fifth Class: Proportion, Practice, Percentage, Stocks, Theory of said rules.  Mental Arithmetic.

 

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Recommended Learning Resources 
Elementary Arithmetic by J. Hamblin Smith

Elementary Statistics by J. Hamblin Smith

Mental Arithmetic by J. A. McLellan

Book-keeping (Fulton & Eastman)

Todhunter's Trigonometry for Beginners; Todhunter's Mensuration

Pott's Euclid, six books

Chamber's Practical Mathematics

 

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Suggested Instructional Strategies 

Written Arithmetic. - Principles and methods should be thoroughly explained.  After accuracy in work, quickness in calculation is most desirable.  To attain this, frequent practice in the simple rules is essential.

Practical examples - those that the pupil is liable to meet in every-day life -- should be given frequently.

Mental Arithmetic. - Instruction should begin with questions in the simple rules, and should expand according to advancement.  In teaching this branch, the chief object aimed at should be to impress firmly on the mind the facts and processes of arithmetic.

 

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Suggested Assessment Strategies 
Senior pupils, over the age of twelve, who are completing the Fifth Class and who aspire to higher education, should be prepared to answer questions on the provincial High School Entrance Examination.