Mathematics
Form 2 · 35 topics available
Chapter 1 · Patterns and Sequences
Patterns
A pattern is an arrangement of numbers or objects that follows a rule you can use to predict what comes next.
OpenSequences
A sequence is a set of numbers or objects arranged in order according to a pattern, where each item is called a term.
OpenPatterns and Sequences
By combining patterns and sequences you can describe a rule in words or algebra and find any term using its position.
OpenChapter 2 · Factorisation and Algebraic Fractions
Expansion
Expansion means multiplying out brackets so that an expression written as a product becomes a sum of terms.
OpenFactorisation
Factorisation is the reverse of expansion: it rewrites a sum of terms as a product of factors.
OpenAlgebraic Expressions and Basic Arithmetic Operations
You can add, subtract, multiply and divide algebraic fractions using the same rules as ordinary number fractions.
OpenChapter 3 · Algebraic Formulae
Chapter 4 · Polygons
Chapter 5 · Circles
Properties of Circles
Learn the parts of a circle — centre, radius, diameter, chord, arc, sector — and how they relate.
OpenSymmetrical Properties of Chords
The perpendicular from the centre bisects a chord. Learn this and use it with the Pythagorean theorem.
OpenCircumference and Area of a Circle
Use π to find the circumference and area of a circle, and work with arcs and sectors.
OpenChapter 6 · Three-Dimensional Geometrical Shapes
Geometric Properties of Three-Dimensional Shapes
Describe 3-D solids using faces, edges and vertices, and check them with Euler's formula V − E + F = 2.
OpenNets of Three-Dimensional Shapes
A net is the flat pattern that folds up into a 3-D solid. Learn the net of each common shape.
OpenSurface Area of Three-Dimensional Shapes
Surface area is the total area of all the faces of a solid. Use the net to add up every face.
OpenVolume of Three-Dimensional Shapes
Volume is the space inside a solid, measured in cubic units. Learn the formula for each shape.
OpenChapter 7 · Coordinates
The Cartesian Coordinate System
Two number lines cross at the origin to form the Cartesian plane. Every point has coordinates (x, y).
OpenDistance in the Cartesian Coordinate System
Find the distance between two points using absolute differences along an axis, or the distance formula.
OpenMidpoint in the Cartesian Coordinate System
The midpoint of a line segment is the average of the endpoints: ((x₁+x₂)/2, (y₁+y₂)/2).
OpenChapter 8 · Graphs of Functions
Chapter 9 · Speed and Acceleration
Chapter 10 · Gradient of a Straight Line
Chapter 11 · Isometric Transformations
Transformations
A transformation changes the position, size or orientation of a shape on a plane.
OpenTranslation
A translation slides every point of a shape the same distance in the same direction.
OpenReflection
A reflection flips a shape across a line called the axis of reflection.
OpenRotation
A rotation turns a shape about a fixed point through a given angle and direction.
OpenTranslation, Reflection and Rotation as an Isometry
Translation, reflection and rotation all preserve distance, so each is an isometry.
OpenRotational Symmetry
A shape has rotational symmetry if it fits onto itself as it turns about a centre.
OpenChapter 12 · Measures of Central Tendencies
Chapter 13 · Simple Probability
Experimental Probability
Discover how repeating an experiment lets us estimate probability from actual results.
OpenProbability of Equally Likely Outcomes
Calculate theoretical probability when every outcome has the same chance of happening.
OpenComplement of an Event
Use the complement rule to find the probability that an event does not happen.
OpenSimple Probability
Bring together sample space, theoretical probability and the complement rule in one topic.
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