Lesson Slides
All Mathematics: Applications and Interpretation lesson decks in one place.
Revision library · SL and HL
Unit 8 · Complex numbers
Complex Numbers and Mixed Revision
Work independently through complex numbers, phasors and mixed revision, with explanations, practice questions and worked solutions.
Complex Numbers in Action
Explore powers and rotations, trace a cosine from a rotating point, and combine signals using TI-84 and TI-Nspire methods, graph checks and interpretation.
Euler Form and Integer Powers
Connect cis and exponential forms, convert complex numbers, and use de Moivre's theorem for integer powers with Argand diagrams and worked solutions.
Unit 7 · Geometry and trigonometry
Conjugates and Complex Division
Investigate conjugates, divide complex numbers in Cartesian and cis forms, check with GDCs, and debate mathematical verification and knowledge.
Argand Diagrams and Complex Multiplication
Connect complex numbers to points, modulus and argument; explore the unit circle and investigate multiplication, scaling and rotation.
Unit Circle and Rotation
Connect unit vectors to trigonometric coordinates, trace sine and cosine graphs, investigate tangent and magnitude, and build the rotation bridge to complex numbers.
Geometry Investigations
Compare panel designs, construct acceptable cable anchors and choose a camera position using familiar trigonometry and 3D geometry.
Geometry in Three Dimensions
Explore 3D distance and midpoint, investigate a shade sail using the cosine rule, and connect HL vectors to angles, area and perpendicularity.
From a Sector to a Cone
Investigate cone capacity, choose a container design, and calculate volume, surface area, paint requirements and mass.
Arcs, Sectors & Radians
Compare sector-shaped gardens, solve an inverse area-and-perimeter problem, then explore circular segments or HL radians.
Coastal Rescue Navigation
Bearings, triangulation, the HL ambiguous case, and a 3D flight-path decision.
Triangle Field Mission
Apply the sine rule, cosine rule, and triangle-area formula through expert and mixed-team missions.
Right-Angled Trigonometry
Build and apply right-triangle relationships, then connect them to non-right triangles.
How High Is It?
Investigate similar triangles, formalise trigonometric ratios, and measure an inaccessible height.
Unit 6 · Mathematical modelling
Mathematical Modelling Review
Common SL review for the combined SL/HL class.
Logistic Modelling
Explore the logistic model, investigate its parameters, and use technology to solve and interpret problems.
HL Modelling Closeout
Two lessons on half-life, logarithmic representations, phase shift, piecewise models, and HL modelling decisions.