IGCSE Math I-II (Extended)
Scope and Sequence - 2014
Unit 1
Topic
Objective
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Number
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Algebra
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[2.5] – Evaluate formulae
[2.3] – Create expressions and create and solve linear equations, including those with
fractional expression
[7.4] – Slope of a line segment
7 days
9 days
7 days
9 days
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[4.1] – Vocabulary of Geometry
[4.4] – Angles: around a point, on a straight line and intersecting straight lines,
vertical angles, alternate and corresponding angles on parallel lines, angle properties
of triangles/quadrilaterals/polygons, interior/exterior angles of polygons
[4.3] – Line and rotational symmetry in 2D and 3D
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[10.4] – Mean, mode, median and range from lists of discrete data
[10.2/10.3] – Discrete data (frequency table)
6 days
Shape and Space
Probability and
Statistics
[1.1] – Knowledge of primes, composites, squares, and cubes
[1.3] – Multiples and factors; include GCF and LCM
[1.8] – Radicals; calculate square root and cube root expressions
[1.9] – Estimating, rounding, decimal places and significant figures; choose a level of
accuracy appropriate for a problem
[1.2] – Use of the four operations and parenthesis
Integers (including matrix operations)
[2.7] – Identify terms, factors and coefficients
[2.8] – Simplify expressions (combine like terms and distributive)
Days
Page 1 of 9
IGCSE Math I-II (Extended)
Scope and Sequence - 2014
Unit 2
Topic
Objective
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Number
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Algebra
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Shape and Space
Probability and Statistics
[1.6] – Percentages: convert between percents, decimals, fractions and percent of a
number
[1.4] – Ratios
[1.7] – Meaning and calculation of exponents including positive, negative and zero
[2.4] – Laws of Exponents
[2.1/2.2] – Create and solve linear inequalities and show solutions on a number line.
[3.2] – Understand and explain that the graph of an equation in two variables is the set
of all its solutions plotted in the co-ordinate plane. Construct tables of values for linear
functions
[7.1] – Plotting points and reading from a graph in the Cartesian plane
[7.3] – Midpoint of a line segment. Find the point on a directed line segment between
two given points that partitions the segment in a given ratio.
[3.13] – Graph the solutions to a linear inequality in two variables as a half-plane
(region)
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[6.2] – Perimeter and area of rectangle, triangle and compound shapes derived from
these. Area of trapezoid and parallelogram
[8.1] – Use the Pythagorean Theorem to solve right-angled triangles in applied
problems.
[7.2] – Distance between 2 points
[4.5] – Geometric Constructions: copy angles; bisect segments and angles; construct
perpendicular lines including perpendicular bisector; construct equilateral triangles,
squares and regular hexagons inside circles; angle measurements; read and make scale
drawings
[6.3] – Circumference and area of circles; including arc length and sector area
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[10.3] – Displaying Data: compound bar charts, dot plots, line graphs, pie charts
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Days
Page 2 of 9
IGCSE Math I-II (Extended)
Scope and Sequence - 2014
Unit 3
Topic
Number
Algebra
Shape and Space
Objective
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[1.7] – Standard Form (Scientific Notation); including solving problems in standard form
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[2.6] – Create and solve simultaneous equations in two variables: Graphically and
Elimination Only
[2.9] – Factorization of Polynomials: GCF, trinomials and four term
[2.5] – Rearrangement and evaluation of simple formulae (include square roots and
squares)
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Probability and Statistics
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Days
[4.7] – Similarity: calculation of lengths of similar triangles
[5.6] – Transformations on the Cartesian plane: translation, reflection, rotation,
enlargement (dilation). Description of a translation using column vectors.
[6.4] – Surface area and volume of a prism (in particular, cuboids and cylinders)
[9.1] – Probability P(A) as a fraction, decimal or percentage. Significance of its value,
including probabilities to make fair decisions
[9.2] – Relative frequency as an estimate of probability
[9.5] – Possibility diagrams: tree diagrams including successive selection with or without
replacement
Page 3 of 9
IGCSE Math I-II (Extended)
Scope and Sequence - 2014
Unit 4
Topic
Number
Algebra
Objective
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[1.6] – Percentages: write a number as a percentage of another, calculate percentage profit
and loss, percentage increase and decrease
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[2.8] – Expansion of parentheses; include the square of a binomial
[3.2] – Construct tables of values for quadratic functions
[3.5] – Recognition of quadratic functions: interpret key features
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[8.1] - Bearings
[8.1] – Use Trigonometric Ratios (Sine, Cosine and Tangent) to solve right-angled
triangles in applied problems
o Know the exact trigonometric ratios of 0°, 30°, 45°, 60°, 90°
[8.1] – Knowledge of angle of elevation and depression
Shape and Space
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Probability and Statistics
Days
[10.8] – Understanding and description of correlation (positive, negative and zero) with
reference to scatter diagrams. Straight line of best fit (by eye) through the mean on a
scatter diagram.
Page 4 of 9
IGCSE Math I-II (Extended)
Scope and Sequence - 2014
Unit 5
Topic
Number
Algebra
Objective
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[1.4] – Proportions
[1.9] – Money Conversions
[1.4] – Increase and Decrease in a Given Ratio
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[3.1] – Use function notation, domain and range, and mapping diagrams
[3.10] – Simplification of formulae for composite functions
[3.11] – Inverse functions
[2.11] – Factor Quadratic expressions
[3.2] – Construct tables of values for cubic functions and solve associated equations
graphically.
[3.5] – Recognize cubic type functions and interpret their key features
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[6.4] – Surface area and volume of a prism and pyramid (cuboids, cylinders and cones)
and of a sphere.
[4.7] – Area and volume of similar shapes
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[10.4] – Mean, modal class, median and range from grouped and continuous data
Shape and Space
Probability and Statistics
Days
Page 5 of 9
IGCSE Math I-II (Extended)
Scope and Sequence - 2014
Unit 6
Topic
Objective
Number
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[1.6] – Simple and compound interest
[1.6] – Reverse percentages
[1.11] – Speed, distance and time problems
Algebra
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[2.4] – Exponents; include rules of indices with negative and fractional indices
[2.11] – Solve quadratic equations by factoring
[3.5] – Recognize and graph reciprocal functions
Shape and Space
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[4.6] – Circle theorems
[5.6] – Transformations, specifically stretches
Probability and Statistics
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[9.4] – Combining events
[9.5] – Tree diagrams including successive selection with or without replacement
Days
Page 6 of 9
IGCSE Math I-II (Extended)
Scope and Sequence - 2014
Unit 7
Topic
Number
Objective
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[1.11] – Distance-Time graphs
[1.11] – Speed-Time graphs
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[2.5] – Rearrange formulae in which the variable appears more than once
[2.13] – Continuation of a sequence of numbers or patters; recognize patters in
sequences; generalize to simple algebraic statements, including determination of the nth
term
[3.5] – Recognition of exponential graphs
[3.8] – Behavior of exponential graphs
Algebra
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Shape and Space
Probability and Statistics
Days
NONE
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[10.6] – Cumulative frequency table and curve and box plots. Median, quartiles,
percentiles, and inter-quartile range
Page 7 of 9
IGCSE Math I-II (Extended)
Scope and Sequence - 2014
Unit 8
Topic
Objective
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Number
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Algebra
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Days
[1.1] – Knowledge of natural numbers, integers, prime numbers, square numbers,
rational numbers, irrational numbers and real numbers
[1.5] – Change recurring decimals to fractions
[2.11] – Solve quadratic equations using the formula
[2.10] – Algebraic fractions; include linear denominators with restricted domain
[2.12] – Solve simple rational and radical equations in one variable and discount
extraneous solutions
[2.14] – Express direct and inverse variation in algebraic terms and use this form of
expression to find unknown quantities
Shape and Space
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[8.2] – Sine and Cosine values to angles up to 180°. Explain and use the relationship
between sine and cosine of complementary angles. Graph and know the properties of
trigonometric functions.
[8.5] – Area of a triangle
[8.3] – Law of Sine
[8.4] – Law of Cosine
Probability and Statistics
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[10.5] – Histograms with frequency density on the vertical axis
Page 8 of 9
IGCSE Math I-II (Extended)
Scope and Sequence - 2014
Unit 9
Topic
Number
Algebra
Objective
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[1.9] – Bounds of numbers; choose a level of accuracy appropriate for a problem
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[2.6] – Create and solve simultaneous linear equations using substitution
[3.13] – Graph the solution set to a system of linear inequalities in two variables as the
intersection of the corresponding half-panes (linear programming)
[2.11] – Solve quadratic equations by completing the square
[3.2] – Understand that the graph of an equation in two variables is the set of all its
solutions plotted in the co-ordinate plane. Solve equations approximately by graphical
methods
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Shape and Space
Probability and Statistics
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Days
[5.1] – Vector notation
[5.2] – Find the components of a vector by subtracting the co-ordinates of an initial
point from the co-ordinates of a terminal point; use position vectors
[5.3] – Calculate the magnitude of a vector
[5.4] – Add and subtract vectors
[5.5] – Multiply a vector by a scalar
NONE
Page 9 of 9