LEARN · EXPLAIN · REVISE

Compulsory volume 2

Read the idea, work independently, then explain what changed.

Each section contains concept explanations, three worked examples, ten graded exercises and teacher preparation.

6.1

Concept of plane vectors

Build understanding of concept of plane vectors through definitions, contrasting cases and justified applications.

6.2

Operations on plane vectors

Build understanding of operations on plane vectors through definitions, contrasting cases and justified applications.

6.3

Basis theorem and coordinate representation

Build understanding of basis theorem and coordinate representation through definitions, contrasting cases and justified applications.

6.4

Applications of plane vectors

Build understanding of applications of plane vectors through definitions, contrasting cases and justified applications.

7.1

Concept of complex numbers

Build understanding of concept of complex numbers through definitions, contrasting cases and justified applications.

7.2

Arithmetic of complex numbers

Build understanding of arithmetic of complex numbers through definitions, contrasting cases and justified applications.

7.3

Trigonometric representation of complex numbers (starred)

Build understanding of trigonometric representation of complex numbers (starred) through definitions, contrasting cases and justified applications.

8.1

Basic solid figures

Build understanding of basic solid figures through definitions, contrasting cases and justified applications.

8.2

Oblique drawings of solids

Build understanding of oblique drawings of solids through definitions, contrasting cases and justified applications.

8.3

Surface areas and volumes of simple solids

Build understanding of surface areas and volumes of simple solids through definitions, contrasting cases and justified applications.

8.4

Positions of points, lines and planes in space

Build understanding of positions of points, lines and planes in space through definitions, contrasting cases and justified applications.

8.5

Parallel lines and planes in space

Build understanding of parallel lines and planes in space through definitions, contrasting cases and justified applications.

8.6

Perpendicular lines and planes in space

Build understanding of perpendicular lines and planes in space through definitions, contrasting cases and justified applications.

9.1

Random sampling

Build understanding of random sampling through definitions, contrasting cases and justified applications.

9.2

Estimating a population from a sample

Build understanding of estimating a population from a sample through definitions, contrasting cases and justified applications.

9.3

Statistical case study

Build understanding of statistical case study through definitions, contrasting cases and justified applications.

10.1

Random events and probability

Build understanding of random events and probability through definitions, contrasting cases and justified applications.

10.2

Independence of events

Build understanding of independence of events through definitions, contrasting cases and justified applications.

10.3

Frequency and probability

Build understanding of frequency and probability through definitions, contrasting cases and justified applications.