31 Sections
173 Lessons
10 Weeks
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NUMBER
4
1.1
Exponent notation
1.2
The Fundamental Theorem of Arithmetic
1.3
Order of operations
1.4
Absolute value
ALGEBRA: EXPRESSIONS
8
2.1
Algebraic notation
2.2
Writing expressions
2.3
Algebraic substitution
2.4
The language of algebra
2.5
Collecting like terms
2.6
Algebraic products
2.7
Algebraic quotients
2.8
Algebraic common factors
EXPONENTS
4
3.1
Exponent laws
3.2
Zero and negative exponents
3.3
Standard form (scientific notation)
3.4
International system (SI) units
ALGEBRA: EXPANSION
5
4.1
The distributive law
4.2
The product (a+b)(c+d)
4.3
The difference between two squares
4.4
The perfect squares expansion
4.5
Further expansion
SETS
5
5.1
Sets
5.2
Complement of a set
5.3
Intersection and union
5.4
Special number sets
5.5
Interval notation
LINEAR EQUATIONS AND INEQUALITIES
5
6.1
Linear equations
6.2
Equations with fractions
6.3
Problem solving
6.4
Linear inequalities
6.5
Solving linear inequalities
VENN DIAGRAMS
4
7.1
Venn diagrams
7.2
Venn diagram regions
7.3
Numbers in regions
7.4
Problem solving with Venn diagrams
SURDS AND OTHER RADICALS
7
8.1
Square roots
8.2
Properties of radicals
8.3
Simplest surd form
8.4
Cube and higher roots
8.5
Power equations
8.6
Operations with radicals
8.7
Division with surds
PYTHAGORAS' THEOREM
3
9.1
Pythagoras’ theorem
9.2
Pythagorean triples
9.3
Problem solving
FORMULAE
4
10.1
Formula construction
10.2
Substituting into formulae
10.3
Rearranging formulae
10.4
Rearrangement and substitution
FINANCIAL MATHEMATICS
5
11.1
Percentage increase or decrease
11.2
Business calculations
11.3
Appreciation and depreciation
11.4
Simple interest
11.5
Compound interest
MENT: L AND AREA
5
12.1
Units of length
12.2
Perimeter
12.3
Units of area
12.4
Area of polygons
12.5
Area of circles and sectors
MEASUREMENT: SURFACE AREA, VOLUME, AND CAPACITY
9
13.1
Surface area of a solid with planar faces
13.2
Surface area of a cylinder
13.3
Surface area of a cone
13.4
Surface area of a sphere
13.5
Units of volume
13.6
Capacity
13.7
Volume of a sphere
13.8
Volume of a solid of uniform cross-section
13.9
Volume of a tapered solid
ALGEBRA: FACTORISATION
5
14.1
Common factors
14.2
Difference between two squares factorisation
14.3
Perfect squares factorisation
14.4
Miscellaneous factorisation
14.5
Expressions with four terms
ALGEBRAIC FRACTIONS
5
15.1
Evaluating algebraic fractions
15.2
Simplifying algebraic fractions
15.3
Multiplying algebraic fractions
15.4
Dividing algebraic fractions
15.5
Adding and subtracting algebraic fractions
COORDINATE GEOMETRY
5
16.1
The distance between two points
16.2
Midpoints
16.3
Gradient
16.4
Parallel and perpendicular lines
16.5
Using coordinate geometry
STRAIGHT LINES
7
17.1
Vertical and horizontal lines
17.2
Points on a line
17.3
Axes intercepts
17.4
Graphing from a table of values
17.5
Gradient-intercept form
17.6
General form
17.7
Finding the equation of a line
SIMULTANEOUS EQUATIONS
6
18.1
Solution by trial and error
18.2
Graphical solution
18.3
Solution by equating values of y
18.4
Solution by substitution
18.5
Solution by elimination
18.6
Problem solving
TRANSFORMATION GEOMETRY
6
19.1
Translations
19.2
Reflections
19.3
Rotations
19.4
Enlargements and reductions
19.5
Stretches
19.6
Combinations of transformations
QUADRATIC EQUATIONS
5
20.1
Quadratic equations
20.2
The null factor law
20.3
Solving by factorisation
20.4
Problem solving
20.5
Completing the square
QUADRATIC FUNCTIONS
6
21.1
Axes intercepts
21.2
Projectile motion
21.3
Using transformations to graph quadratics
21.4
Quadratic functions
21.5
Using axes intercepts to graph quadratics
21.6
Graphs of quadratic functions
CONGRUENCE AND SIMILARITY
6
22.1
Congruence
22.2
Congruent triangles
22.3
Similarity
22.4
Similar triangles
22.5
Areas of similar figures
22.6
Volumes of similar solids
TRIGONOMETRY
7
23.1
Scale diagrams in geometry
23.2
Labelling right angled triangles
23.3
The trigonometric ratios
23.4
Finding side lengths
23.5
Problem solving
23.6
Finding angles
23.7
Bearings
DEDUCTIVE GEOMETRY
6
24.1
Deductive geometry
24.2
Midpoint theorem
24.3
Angle in a semi-circle theorem
24.4
Chords of a circle theorem
24.5
Radius-tangent theorem
24.6
Tangents from an external point theorem
PROPORTION
4
25.1
Powers in direct proportion
25.2
Direct proportion
25.3
Inverse proportion
25.4
Powers in inverse proportion
PROBABILITY
9
26.1
Theoretical probability
26.2
Independent events
26.3
Probabilities from Venn diagrams
26.4
Sample space and events
26.5
Dependent events
26.6
Probabilities from tree diagrams
26.7
Experimental probability
26.8
Probabilities from tabled data
26.9
Expectation
STATISTICS
9
27.1
Types of data
27.2
Discrete numerical data
27.3
Continuous numerical data
27.4
Describing the distribution of data
27.5
Measures of centre
27.6
Cumulative frequency graphs
27.7
Measures of spread
27.8
Box plots
27.9
Comparing numerical data
NETWORKS
4
28.1
Networks
28.2
Routes on networks
28.3
Shortest route problems
28.4
Eulerian networks
NON-RIGHT ANGLED TRIANGLE TRIGONOMETRY
5
29.1
Trigonometry with obtuse angles
29.2
The area of a triangle
29.3
The sine rule
29.4
The cosine rule
29.5
Problem solving
MATHEMATICAL LOGIC
6
30.1
Equivalence
30.2
Implication
30.3
Compound propositions
30.4
Constructing truth tables
30.5
Tautology and logical contradiction
30.6
Logical equivalence
TEST
4
31.1
Weekly Test
31.2
Monthly Test
31.3
Practice Test
31.4
Mock Test
Maths Unleashed 2026 IB – MYP 4
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