14 Sections
66 Lessons
10 Weeks
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Set Theory & Probability
0
Surds
5
2.1
Simplifying irrational numerical expressions
2.2
Approximating radicals
2.3
Applying rules of radicals to simplify them
2.4
Performing operations on radicals to simplify expressions that contain radicals
2.5
Rationalizing the denominator
Quadratics
6
3.1
Quadratic expression
3.2
Quadratic equations (Three ways)
3.3
Solving quadratic equations using factorization, the quadratic formula, Quadratic functions
3.4
Nature of roots (algebraically and graphically)
3.5
Non-linear inequalities (algebraically and graphically)
3.6
Real world quadratic models
Direct and inverse relationships
1
4.1
Finding a constant of proportionality, setting up equations and graphing direct and inverse relationships
Functions
8
5.1
Relations
5.2
Mappings
5.3
Function notation
5.4
Key features of graphs
5.5
Linear functions, Domain and range
5.6
Composite functions
5.7
Inverse functions
5.8
Solving equations graphically
Sequences
5
6.1
Number sequences (prediction, description)
6.2
Predicting the next term in a number sequence.
6.3
Find, justify and prove general rules/formulae for sequences (linear, quadratic, geometric, cubic, triangular, Fibonacci).
6.4
Using notation and formulae for arithmetic and geometric sequences to continue a sequence, find specific terms and the progression
6.5
Use notation and formulae to find the summation of an arithmetic sequence and a geometric sequence
Surface Area and Volume
3
7.1
Metric conversions
7.2
Surface areas
7.3
Volume and capacity (additional shapes)
Trigonometry
7
8.1
Triangle properties
8.2
Trigonometric ratios in right-angled triangles
8.3
Angles of elevation and depressions
8.4
Sine and cosine rule (including applications)
8.5
Bearings
8.6
3-D Trigonometry
8.7
Area of a Triangle
Algebra
6
9.1
Comparing quantities
9.2
Reading and writing inequalities
9.3
Writing inequalities looking at the number line
9.4
Representing Inequalities on a number line
9.5
Writing inequalities as set notation and interval notation
9.6
Solving linear inequalities and representing them on a number line.
Circle theorems & Circle mensuration
6
10.1
Circle geometry and theorems, including angles, radius, diameter, arc, sector, chord, segment and tangent
10.2
Similarity and congruence, including proving similar and congruent triangles
10.3
unit circle
10.4
radians
10.5
equation of circle with centre at the origin
10.6
arc length and sector using radians
Polygons and functions
3
11.1
Movement on a plane- isometric transformations, enlargements and tessellations
11.2
Rotation around a given point
11.3
Translating, reflecting and dilating functions
Numbers
4
12.1
Real life sums on Financial mathematics (Depreciation, Appreciation, Money Conversion)
12.2
Simple and compound interest, ratio- proportion, percent profit- percent loss, percentage
12.3
increase- percentage decrease, reverse percentage
12.4
Absolute values
Statistics
8
13.1
Sampling techniques and response rates
13.2
Data manipulation and misinterpretation
13.3
Graphical representations (including: bivariate graphs, scatter graphs, box and whisker plots, cumulative frequency graphs)
13.4
Lines of best fit
13.5
Data processing: Mean, median (Measure of central tendency) and mode for continuous data
13.6
quartiles and percentiles for discrete and continuous
13.7
Measures of dispersion: interquartile range (Application and relationship with median
13.8
Correlation
Test Series
4
14.1
Weekly Test
14.2
Monthly Test
14.3
Mock Test
14.4
Practice Test
Maths Unleashed 2026 IB – MYP5 (Standard)
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