Grade 10 — Term 2
10 study notes · 300 practice questions · Aligned with NIE syllabus
Counted in the Idasara Academy app, which you open with a free account. The free notes, revision, practice and library pages for each lesson are linked below.
Lessons in This Term
LCM of Algebraic Expressions
The moment you try to add two algebraic fractions with different denominators — say (1)/(2x) + (1)/(3y) — you hit a wall until you can find their common denominator.
Algebraic Fractions
Every formula that divides one changing quantity by another is an algebraic fraction: speed as (distance)/(time), a profit margin as (revenue-cost)/(revenue), or the combined resistance of two components in an electric circuit.
Percentages
Every time you see "20% off" on a shirt in a Pettah shop, a bank offer "8% interest per annum", or a bill that adds "15% VAT", you are looking at percentages.
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Almost every real decision that involves an unknown amount hides an equation. How much of each ingredient goes into a mixture, where a shop's costs and income break even, how high a thrown object rises, how to split a bill fairly — each one becomes a solvable equation once you write it down.
Parallelograms I
Look at a garden gate, a folding clothes-drying rack, or the criss-cross scissor-lift on a lorry — they all hold their shape because of parallelograms.
Parallelograms II
In Lesson 15 you learned what a parallelogram is and the neat properties that follow from it.
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Every time a survey asks "how many students play cricket, how many play football, and how many play both?" you are really being asked a question about sets.
Logarithms I
Some numbers in the real world grow by multiplying, not by adding — the strength of an earthquake on the Richter scale, the loudness of sound in decibels, the acidity of a solution as a pH value, the money in a compound-interest account.
Logarithms II
Before calculators sat in every schoolbag, engineers building bridges, astronomers charting stars, and accountants closing the year's books all multiplied and divided enormous numbers using nothing but a printed table of logarithms.
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Almost every real cost you meet has a "starting amount" and a "rate". A taxi charges a flag-fall plus a rate per kilometre; a phone bill is a fixed rental plus a charge per minute; a salary is a basic wage plus a commission per sale.