Maths Republic Academy

Course Content
Number & Algebra (1.1 to 1.8)
SL 1.1 to 1.8 SL 1.1 Operations with numbers in the form a ×10^k, where 1 ≤a<10 and k is an integer. SL 1.2 Arithmetic sequences and series. Use of the formulae for the nth term and the sum of the first n terms of the sequence. Use of sigma notation for sums of arithmetic, its Applications and Analysis, interpretation and prediction where a model is not perfectly arithmetic in real life. SL 1.3 Geometric sequences and series. Use of the formulae for the nth term and the sum of the first n terms of the sequence sequences. Use of sigma notation for the sums of geometric sequences and Applications. SL 1.4 Financial applications of geometric sequences and series: compound interest and annual depreciation, connection with Loans and repayments SL 1.5 Laws of exponents with integer exponents. Introduction to logarithms with base 10 and e. Numerical evaluation of garithms using technology SL 1.6 Approximation: decimal places, significant figures. Upper and lower bounds of rounded numbers, Percentage errors, Estimation. SL 1.7 Amortization and annuities using technology. SL 1.8 Use technology to solve Systems of linear equations in up to 3 variables, Polynomial equation.
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Standard Form (1.1)
Sequences and Series (1.2 and 1.3)
Financial applications of geometric sequences and series (1.4)
Laws of exponents (1.5)
Rounding Numbers and Approximations (1.6)
Errors (Absolute and Percentage Errors) (1.6)
Upper and lower bounds of rounded numbers (1.6)
Financial Maths (Amortization and annuities) (1.7)
Linear equations and Plynomial equations (1.8)
Exam Style Questions for Practice
Functions Descriptive (2.1 to 2.6)
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Straight Line (2.1)
Concept of Functions, Domain and Range (2.2)
Function Graphs (2.3), Key features of graphs (2.4)
Key features of graphs (2.4)
Modelling functions (2.5) and Modelling skills (2.6)
Geometry and Trigonometry (SL 3.1 to 3.6)
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3-D Space, Volume and Surface Area of 3-D Shapes (3.1)
Trigonometry (3.2, 3.3)
Circle (3.4)
Line : perpendicular bisectors (3.5)
Voronoi diagrams (3.6)
Statistics Probability (SL 4.1 to 4.11)
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Introduction to Statistics (4.1)
Presentation of data (4.2)
Mean, Meadian and Mode (4.3)
Bivariate Statistics, Correlation and Regression (4.4, 4.10)
Probability – 1
Probability – 2
Probability : Independent Events
Probability : Dependent Events and Conditional Probability
Discrete random variables and probability distributions (4.7)
Binomial distribution (4.8)
Normal distribution (4.9)
Hypotheses (4.11)
Probability : Predictions
Calculus (SL 5.1 to 5.8)
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Limits (5.1)
Increasing and decreasing functions (5.2)
Differentiation (5.3)
Tangents and normals (5.4)
Integration (5.5)
Maximum and Minimum points (5.6)
Optimisation (5.7)
Trapezoidal rule (5.8)
Exam Revision
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Past Paper 2021 Paper – 1 (TZ-1) (1 hr 30 minutes) [ 80 marks ]
Past Paper 2021 Paper – 2 (TZ-1) (1 hr 30 minutes) [ 80 marks ]
Past Paper 2021 Paper – 1 (TZ-2) (1 hr 30 minutes) [ 80 marks ]
Past Paper 2021 Paper – 2 (TZ-2) (1 hr 30 minutes) [ 80 marks ]
Past Paper 2022 Paper – 1 (TZ-1) (1 hr 30 minutes) [ 80 marks ]
Past Paper 2022 Paper – 1 (TZ-2) (1 hr 30 minutes) [ 80 marks ]
Past Paper 2022 Paper – 2 (TZ-1) (1 hr 30 minutes) [ 80 marks ]
Past Paper 2022 Paper – 2 (TZ-2) (1 hr 30 minutes) [ 80 marks ]
Past Paper 2022 Paper – 2 (November) (1 hr 30 minutes) [ 80 marks ]
Past Paper 2022 Paper – 1 (November) (1 hr 30 minutes) [ 80 marks ]
AI SL Question Bank

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