Unit at a glance
19 lessons, 855 minutes of teaching
Scheme of work
The lessons in order
| Ref | Lesson pack | Structure | Worksheet | Quiz | Lab tab |
|---|---|---|---|---|---|
| 1.1 | Types of number: primes, factors, multiples, rational and irrational Natural numbers, integers, primes, squares, cubes, factors, multiples, rational and irrational numbers and reciprocals: the vocabulary every other topic in IGCSE Mathematics is written in. | Connect-Extend-Challenge | 6 Q, 15 marks | 6 MCQ | tab 1, tab 2 |
| 1.2 | Sets, set notation and Venn diagrams A set is a collection of things, and a Venn diagram shows how sets overlap. | Anticipation / Reaction Guide | 6 Q, 18 marks | 6 MCQ | tab 3 |
| 1.3 | Squares, cubes and roots Squaring and cubing build numbers up; square roots and cube roots take them back down. | Cooperative Concept Mapping | 6 Q, 15 marks | 6 MCQ | tab 1 |
| 1.4 | Fractions, decimals and percentages \(\dfrac{3}{8}\), 0.375 and 37.5% are the same number written three ways. | Round Table | 6 Q, 15 marks | 6 MCQ | tab 4 |
| 1.5 | Ordering quantities and inequality symbols Fractions, decimals, percentages, negatives, roots and measurements in different units can all be put in order once they are written the same way. | Mix-Pair-Share | 6 Q, 14 marks | 6 MCQ | tab 4 |
| 1.6 | The four operations: fractions, negatives and order of operations Add, subtract, multiply and divide with negative numbers, fractions, mixed numbers and decimals, in the correct order, mostly without a calculator. | Numbered Heads Together | 6 Q, 15 marks | 6 MCQ | tab 5 |
| 1.7 | Indices: the laws of indices An index counts how many times a number is multiplied by itself. | Round Table | 6 Q, 19 marks | 6 MCQ | tab 2 |
| 1.8 | Standard form The mass of the Earth and the width of an atom are both easy to write once every number has the same shape: a number from 1 up to 10, times a power of ten. | Frayer Model | 6 Q, 13 marks | 6 MCQ | tab 3 |
| 1.9 | Rounding and estimation Round to decimal places, significant figures or the nearest 10, 100 or 1000; estimate a calculation by rounding every number to 1 significant figure; and give answers to a sensible accuracy for the situation. | Connect-Extend-Challenge | 6 Q, 16 marks | 6 MCQ | tab 4 |
| 1.10 | Limits of accuracy: upper and lower bounds A length given as 17 m to the nearest metre could really be anything from 16.5 m up to (but not including) 17.5 m. | Jot Thoughts | 6 Q, 15 marks | 6 MCQ | tab 5 |
| 1.11 | Ratio and proportion A ratio compares the sizes of parts. | Cooperative Concept Mapping | 6 Q, 12 marks | 6 MCQ | tab 1 |
| 1.12 | Rates, average speed and best value A rate compares two different quantities: kilometres per hour, dollars per hour, litres per minute, grams per cubic centimetre. | Numbered Heads Together | 6 Q, 13 marks | 6 MCQ | tab 2 |
| 1.13 | Percentages: change, reverse percentages Per cent means out of 100. | Mix-Pair-Share | 6 Q, 14 marks | 6 MCQ | tab 3 |
| 1.13 | Simple and compound interest Simple interest adds the same amount every year. | Jigsaw | 6 Q, 16 marks | 6 MCQ | tab 4 |
| 1.14 | Using a calculator efficiently A calculator only does what you type. | Corners | 6 Q, 14 marks | 6 MCQ | tab 4 |
| 1.15 | Time: 12- and 24-hour clock, time calculations Time counts in 60s and 24s, not in 10s. | Frayer Model | 6 Q, 13 marks | 6 MCQ | tab 5 |
| 1.16 | Money and currency conversion Money questions are everyday arithmetic done carefully: bills, change, wages and prices, always to the nearest cent. | Connect-Extend-Challenge | 6 Q, 15 marks | 6 MCQ | tab 2 |
| 1.17 | Exponential growth and decay Extended. | Numbered Heads Together | 6 Q, 15 marks | 6 MCQ | tab 4 |
| 1.18 | Surds: simplifying and rationalising Extended. | Round Table | 6 Q, 15 marks | 6 MCQ | tab 6 |
Each pack holds the plan, worksheet and quiz for its lesson. Teach the rows in order; the lab tabs match the student lessons.
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