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Glossary
Chapter 1: Number systems and arithmetic
- Overview
- 1.1 The number systems ℕ, ℤ, ℚ and ℝ
- 1.5 Indices and the rules of indices
- 1.7 Scientific notation and accuracy
- Review
Chapter 2: Arithmetic in context
- Overview
- 2.1 Percentages and percentage change
- 2.2 Profit, loss and mark-up
- 2.4 Simple and compound interest
- 2.6 Checking whether a result is reasonable
- Review
Chapter 3: Length, area and volume
- Overview
- 3.1 Perimeter and area of plane figures
- 3.2 The circle: circumference and area
- 3.3 Volume of prisms and cylinders
- 3.5 Surface area and curved surface area
- Review
Chapter 4: Algebra: expressions and equations
- Overview
- 4.1 Generating expressions from patterns
- 4.2 Representing relations in tables and graphs
- 4.3 Finding a formula from a pattern
- 4.4 Features of linear relationships
- 4.5 Evaluating and simplifying expressions
- 4.6 Solving linear equations
- 4.9 Linear inequalities
- Review
Chapter 5: Complex numbers
- Overview
- Review
Chapter 6: Functions
- Overview
- 6.1 Relations and functions
- 6.2 Domain, range and notation
- Review
Chapter 7: Differentiation
- Overview
- Review
Chapter 8: Integration
- Overview
- Review
Chapter 9: Sequences and series
- Overview
- Review
Chapter 10: Counting and probability
- Overview
- 10.1 Counting outcomes and the fundamental principle
- 10.5 Axioms of probability
- 10.7 Independent events
- Review
Chapter 11: Statistics
- Overview
- 11.1 Populations and samples
- 11.3 Representing data: charts and histograms
- 11.4 Measures of centre and spread
- 11.11 Statistical reasoning and misused statistics
- Review
Chapter 12: Trigonometry
- Overview
- 12.1 The trigonometric ratios in a right triangle
- 12.2 Pythagoras' theorem
- Review
Chapter 13: Coordinate geometry
- Overview
- 13.1 Distance, midpoint and slope
- 13.2 The equation of a line
- 13.3 Parallel and perpendicular lines
- Review
Chapter 14: Transformation geometry
- Overview
- 14.1 Translations
- 14.2 Axial symmetry and reflection
- 14.3 Central symmetry and rotation
- Review
Chapter 15: Synthetic geometry: foundations
- Overview
- Review
Chapter 16: Synthetic geometry: quadrilaterals, similarity and area
- Overview
- Review
Chapter 17: Synthetic geometry: circles
- Overview
- Review
Chapter 18: Vectors
- Overview
- Review
About this book

2.6 Checking whether a result is reasonable — Practise with help

Stub. Scaffolded practice with progressive exposure: the student attempts each step, then reveals a hint or a fuller worked step only if needed. Tier: F · refs: 3.3