Arithmetic Sequences and Series
AI SL · Topic 1 · SL 1.2
Recognise arithmetic patterns, use nth-term and finite-sum formulas, work with sigma notation and model constant additive change.
Search notes, worksheets & videos
Try “geometric sequences”, “binomial”, “5.4” or “AA HL”. Use the filters to narrow your results.
71 results · Showing 1–24 · Clear filters
Geometric Sequences and Series
AI SL · Topic 1 · SL 1.3
Recognise geometric patterns, use flexible nth-term formulas, sum finite series and solve threshold and modelling problems.
Reading and Writing Sigma Notation
AI SL · Topic 1 · SL 1.3 skill
Read, expand and write finite sums using sigma notation, including shifted indices.
Straight Lines
AI SL · Topic 2 · SL 2.1
Gradients, intercepts, three equation forms, and parallel and perpendicular lines, with worked examples and practice.
Functions, Domain, Range and Inverses
AI SL · Topic 2 · SL 2.2
Understand function notation, domain, range, mathematical models and inverse graphs, with step-by-step worked examples and practice.
Limits and the Derivative
AI SL · Topic 5 · SL 5.1
Approach limits numerically and graphically, then interpret the derivative as gradient and rate of change.
Increasing and Decreasing Functions
AI SL · Topic 5 · SL 5.2
Read the sign of the derivative to identify where a function rises, falls or is stationary.
Power Rule Differentiation
AI SL · Topic 5 · SL 5.3
Differentiate polynomial terms efficiently and connect the algebra to gradient.
Tangents and Normals
AI SL · Topic 5 · SL 5.4
Use derivatives to construct tangent and normal lines at a point on a curve.
Integration and Area
AI SL · Topic 5 · SL 5.5
Connect anti-differentiation, boundary conditions, definite integrals and positive area using technology appropriately.
Stationary Points
AI SL · Topic 5 · SL 5.6
Use technology to generate the derivative, solve f′(x)=0 and classify local maxima and minima.
Optimisation
AI SL · Topic 5 · SL 5.7
Turn a real context into a one-variable objective function and find the required maximum or minimum.
Trapezoidal Rule for Integration
AI SL · Topic 5 · SL 5.8
Approximate area from equally spaced data or function values with the trapezoidal rule.
Arithmetic Sequences and Series
AA SL · Topic 1 · SL 1.2
Recognise arithmetic patterns, use nth-term and finite-sum formulas, work with sigma notation and model constant additive change.
Geometric Sequences and Series
AA SL · Topic 1 · SL 1.3
Recognise geometric patterns, use flexible nth-term formulas, sum finite series and solve threshold and modelling problems.
Reading and Writing Sigma Notation
AA SL · Topic 1 · SL 1.3 skill
Read, expand and write finite sums using sigma notation, including shifted indices.
Financial Mathematics
AA SL · Topic 1 · SL 1.4
Model compound interest and depreciation using geometric sequences; solve financial problems by hand and with the TI-Nspire Finance Solver.
Infinite Geometric Series
AA SL · Topic 1 · SL 1.8
Decide when an infinite geometric series converges and calculate or use its sum to infinity.
Binomial Theorem
AA SL · Topic 1 · SL 1.9
Use exponent patterns, Pascal’s triangle, binomial coefficients and the general term to expand binomials and solve IB-style coefficient problems.
Straight Lines
AA SL · Topic 2 · SL 2.1
Gradients, intercepts, three equation forms, and parallel and perpendicular lines, with worked examples and practice.
Functions, Domain, Range and Inverses
AA SL · Topic 2 · SL 2.2
Understand function notation, domain, range, mathematical models and inverse graphs, with step-by-step worked examples and practice.
Composite and Inverse Functions
AA SL · Topic 2 · SL 2.5
Combine functions, track domains and ranges, and find, check and sketch inverses, with 16 worked examples and 15 practice questions.
Transformations of Graphs
AA SL · Topic 2 · SL 2.11
Translate, reflect and stretch graphs; follow points, domains, ranges and asymptotes through complete worked sequences. Includes a labelled HL extension.
Limits and the Derivative
AA SL · Topic 5 · SL 5.1
Approach limits numerically and graphically, then interpret the derivative as gradient and rate of change.