The document provides an overview of the curriculum for International Mathematics Extended at IGCSE levels for Year 1 and Year 2. It lists the main units covered each year including the topics within each unit, recommended resources, and number of lessons. The units cover areas of algebra, number, geometry, probability, statistics, coordinate geometry, and trigonometry.
12 13 igcse int'l math extended (y1,2) topic overview
1. IGCSE International Mathematics Extended Curriculum (Year 1) 2012-13
NUMBER
UNIT NAME CONTENT RESOURCES OF LESSONS
Algebra – Unit 1 Expand brackets Haese and Harris: 6
Factorise the HCF Some of chapter 1
Solve linear equations (section 1A-1G)
Solve word problems by forming H and H: chapter 3
linear equations (all sections except
Linear inequalities E)
Number – Unit 1 Ratio and Proportion IGCSE Cambridge 2
(Assumed Knowledge) Rounding and significant figures International
HCF and LCM Mathematics (0607
Sets of numbers Extended) by Haese
Conversions and Harris:
24-hour time “Assumed
Knowledge
(Number), sections
A, C, F.1-F.5, H.1-
H.3, I.1, I.2”
Also, chapter 3
section E
Algebra – Unit 2 Formula substitution Haese and Harris: 3
Rearrange algebraic expressions Chapter 7 (p. 147-
Solve systems of simultaneous 168)
linear equations algebraically STP Mathematics
3A by Bostock,
Shepherd, Chandler,
Smith
Sets Set notation Haese and Harris: 6
Different types of sets and subsets Chapter 2 (p. 57-
Venn diagrams 74)
Shade solutions on Vd’s Extended Math for
Solve word problems using Vd’s IGCSE by David
Rayner
2. Geometry – Unit 1 Angle definitions Haese and Harris: 1.5
(Assumed Knowledge) Quadrilaterals “Assumed
Triangle congruence Knowledge
Line and rotational symmetry (Geometry),
sections
A,B,C,D,F”
Geometry – Unit 2 Angle properties Haese and Harris: 4
Parallel line postulates Chapter 4 (p. 93-
Triangles 110)
Polygons
Geometry – Unit 3 Pythagorean theorem Haese and Harris: 4
Pythagorean triples Chapter 8 (p. 169-
Applications in circles and 3-d 189)
figures
Geometry – Unit 4 Measurement conversion Haese and Harris: 4
Area and perimeter of polygons Chapter 9 (p.191-
Circles (area, circumference, 208)
sectors)
Algebra – Unit 3 Factorisation (difference of 2 Haese and Harris: 4
squares, four terms, quadratic Some of chapter 1
trinomials where a is any integer) (p. 46-56)
STP Mathematics
3A by Bostock,
Chandler, Shepherd,
Smith
Algebra - Unit 4 Indice laws (including negative and Haese and Harris: 7 (includes review
zero) Chapter 6 (p. 123- day for units 3 and
Standard form 145) 4)
Surds (basic operations and Algebra 1 Skills
properties, simplify, rationalize the Practice by Paul A.
denominator) Foerster
Probability Relative frequency Haese and Harris: 6
Two-way tables Chapter 25 (p. 507-
Expectation 532)
Combined events (Or and And
rules)
Mutually exclusive and
3. independent events
Tree diagrams (with and without
replacement)
Number – Unit 2 Percentages Haese and Harris: 6
Profit/loss Chapter 10 (p.209-
Simple and compound interest 230)
Distance, speed, time, travel graphs
Coordinate geometry Coordinate graphs Haese and Harris: 8
Midpoint and distance formulas Chapter 12 (p.258-
Gradient of a line 274)
Equations of lines (gradient- Haese and Harris:
intercept and Chapter 14 (p.297-
Parallel and perpendicular lines 312)
Lines of symmetry
Linear inequalities
Trigonometry – Unit 1 Right-angled triangles Haese and Harris: 6
Applications (angle of Chapter 15
elevation/depression, 90 degree (Sections A-C and
bearings) E) (p.312-326, 330-
Sine Rule (not Ambiguous Case) 331)
Cosine Rule Haese and Harris:
Chapter 29
(Sections C and D)
(p.585-591)
Statistics – Unit 1 Interpreting graphs (bar chart, line Haese and Harris: 4
graph, pie chart, stem and leaf, Chapter 13 (p.278-
scatter diagram) 293)
Discrete and continuous data
Measures of spread (including
quartiles)
Frequency tables
Grouped data
4. IGCSE International Mathematics Extended Curriculum (Year 2) 2011-12
NUMBER
UNIT NAME CONTENT RESOURCES OF LESSONS
Simplify
Haese and Harris:
Algebraic Fractions Multiply/Divide 4
Ch 16
Add/Subtract
Shading on Cartesian plane
Inequalities H and H: Ch 32A-C 1
Integer solutions within regions
Histograms
Cumulative frequency H and H: Ch 17B
Statistics Unit 2 Correlation and C 4
Line of best fit H and H: Ch 22A-C
Regression line
Translations
Reflections
H and H: Ch 20A- 9 (includes review
Transformations Rotations
H day)
Enlargements/reductions
Stretches
Functions – Unit 1 Mappings H and H: Ch 19A-F 4
Domain/range
Vertical line test
Function notation
Composite functions
Reciprocal functions
Absolute value functions
Functions – Unit 2 Solve quadratic equations H and H: Ch 21A-J 7
Discriminant Law (number of
solutions determined by the
discriminant)
Null Factor Law
Quadratic Formula
Quadratic functions and their graphs
Transformations of quadratics
Finding a quadratic function
5. Geometry – Unit 5 Similar sides of 2D figures Haese and Harris: 8 (includes review
Similar triangles Ch 18 day)
Problem solving H and H: Ch 11
Area/Volume of similar shapes
Circles Circle theorems H and H: Ch 27A-B 2
Cyclic quadrilaterals
Vectors Different types of vectors H and H: Ch 24A - 4
Addition/Subtraction H
Magnitude
Column vector/component form
Parallel/perpendicular vectors
Vectors in geometry
Functions – Unit 3 Behavior of cubics H and H: Ch 23A-D 6
Find the cubic function *** other IGCSE
Inverses text for cubics
Solving and graphing unfamiliar
functions
Tangents to curves
Exponential Functions Evaluate numbers in exponential H and H: Ch 28 A- 2
form and surd form (with and D
without a calculator)
Calculate values of exponential
functions
Solve exponential functions
Application problems
Logarithms Logarithmic and exponential H and H: Ch 31 A- 2
statements E
Log functions and graphs
Inverse of a log function
Rules for logs
Solve log equations
Trig Exact values for multiples of 30, 45, H and H: Ch 15 5
60 and 90 (sections D.2 and
Area of any triangle F)
3-D applications H and H: Ch29
Bearings using Sine and Cosine (sections A.2, B,
rules C.2 ambiguous
6. Compound shapes case only, E – H)
Graphs of sine, cosine and tangent
Find solutions to trig equations
using graph and analytically
Parameters a and b and how they
affect the graphs
Sequences
Variation