22 Sections
156 Lessons
10 Weeks
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Numbers
8
1.1
Operations with negative numbers
1.2
Exponent notation
1.3
Factors
1.4
Prime and composite numbers
1.5
Highest common factor
1.6
Multiples
1.7
Order of operations
1.8
Problem solving
Sets and Venn Diagrams
6
2.1
Sets
2.2
Complement of a set
2.3
Intersection and union
2.4
Venn diagrams
2.5
Numbers in regions
2.6
Problem solving with Venn diagrams
Real numbers
15
3.1
Fractions
3.2
Equal fractions
3.3
Adding and subtracting fractions
3.4
Multiplying fractions
3.5
Dividing fractions
3.6
Rounding decimal numbers
3.7
Decimal numbers
3.8
Adding and subtracting decimal numbers
3.9
Multiplying and dividing by powers of 10
3.10
Multiplying decimal numbers
3.11
Dividing decimal numbers
3.12
Square roots
3.13
Cube roots
3.14
Rational numbers
3.15
Irrational numbers
Algebraic expressions
12
4.1
Product notation
4.2
Exponent notation
4.3
Writing expressions
4.4
Generalising arithmetic
4.5
Algebraic substitution
4.6
The language of algebra
4.7
Collecting like terms
4.8
Algebraic products
4.9
Algebraic fractions
4.10
Multiplying algebraic fractions
4.11
Dividing algebraic fractions
4.12
Algebraic common factors
Percentage
11
5.1
Converting percentages into decimals and fractions
5.2
Finding a percentage of a quantity
5.3
Converting decimals and fractions into percentages
5.4
Expressing one quantity as a percentage of another
5.5
The unitary method for percentages
5.6
Percentage increase or decrease
5.7
Finding a percentage change
5.8
Finding the original amount
5.9
Profit and loss
5.10
VAT and GST
5.11
Discount
Laws of Algebra
6
6.1
Exponent laws
6.2
Expansion laws
6.3
The zero exponent law
6.4
The negative exponent law
6.5
The distributive law
6.6
Factorisation
Equations
7
7.1
Solutions of an equation
7.2
Algebraic flowcharts
7.3
Equations with a repeated unknown
7.4
Solving equations
7.5
Power equations
7.6
Maintaining balance
7.7
Inverse operations
Lines and Angles
4
8.1
Angles
8.2
Parallel and perpendicular lines
8.3
Angle properties
8.4
Lines cut by a transversal
Plane geometry
7
9.1
Circles
9.2
Triangles
9.3
Triangle theorems
9.4
Isosceles triangles
9.5
Quadrilaterals
9.6
Angle sum of a quadrilateral
9.7
Angle sum of an n-sided polygon
Algebra formula
5
10.1
Number crunching machines
10.2
Finding the formula
10.3
Substituting into formulae
10.4
Geometric patterns
10.5
Practical problems
Measurement length and Area
7
11.1
Length
11.2
Perimeter
11.3
Circumference
11.4
Area
11.5
Area formulae
11.6
Areas of composite figures
11.7
The area of a circle
Measurement: surface area, Volume, and Capacity
9
12.1
Surface area
12.2
Surface area of a cylinder
12.3
Surface area of a sphere
12.4
Volume
12.5
Volume of a solid of uniform cross-section
12.6
Volume of a tapered solid
12.7
Volume of a sphere
12.8
Capacity
12.9
Connecting volume and capacity
Time
4
13.1
Units of time
13.2
Time calculations
13.3
24-hour time
13.4
Time zones
Coordinate Geometry
8
14.1
The Cartesian plane
14.2
Straight lines
14.3
Gradient
14.4
The gradient-intercept form of a line
14.5
Graphing a line from its gradient-intercept form
14.6
The -intercept of a line
14.7
Graphing a line from its axes intercepts
14.8
Finding the equation from the graph of a line
Ratio
6
15.1
Ratio
15.2
Equal ratios
15.3
Lowest terms
15.4
Proportions
15.5
Using ratios to divide quantities
15.6
Scale diagrams
Rates and line graphs
5
16.1
Rates
16.2
Speed
16.3
Density
16.4
Converting rates
16.5
Line graphs
Probability
9
17.1
Probability
17.2
Sample space
17.3
Theoretical probability
17.4
Independent events
17.5
Experimental probability
17.6
Probabilities from tabled data
17.7
Probabilities from two-way tables
17.8
Probabilities from Venn diagrams
17.9
Expectation
Statistics
7
18.1
Data collection
18.2
Categorical data
18.3
Numerical data
18.4
Grouped data
18.5
Stem-and-leaf plots
18.6
Measures of centre and spread
18.7
Measures of centre and spread from a frequency table
Congruence and Similarity
7
19.1
Congruence
19.2
Congruent triangles
19.3
Proof using congruence
19.4
Enlargements and reductions
19.5
Similarity
19.6
Similar triangles
19.7
Problem solving
Pythagoras' theorem
3
20.1
Pythagoras’ theorem
20.2
Problem solving
20.3
The converse of Pythagoras’ theorem
Problem Solving
6
21.1
Writing problems as equations
21.2
Problem solving with algebra
21.3
Solution by search
21.4
Solution by working backwards
21.5
Miscellaneous problems
21.6
Lateral thinking
Test
4
22.1
Weekly Test
22.2
Monthly Test
22.3
Practice Test
22.4
Mock Test
Maths Unleashed 2026 IB – MYP 3
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