Geometry

Angles

Angles – how to draw them Angles – how to name them Angles – measuring angles Types of angle Complementary angles Supplementary angles Vertically opposite angles Corresponding angles Alternate angles Angles in a polygon

The Straight Line

The straight line Gradients Equations and graphs Plotting straight line graphs Finding equations from graphs

Straight Line (Harder)

y − b = m(x − a) Gradient = tan θ Distance formula Midpoint formula Perpendicular lines Collinearity General equation of a line

2D Shapes

Types of triangles Triangles Quadrilaterals Faces, vertices, edges

3D Shapes

3‑D shapes Planes Nets Prisms Interactive Prisms Nets

Reflections

Interactive – Reflections Interactive - Reflection
y = −f(x)

Under Construction - coming soon

Reflections overview Reflection in x-axis Reflection in y-axis Reflection in a line

Rotations

Interactive – Rotational Symmetry

Under Construction - coming soon

Rotations overview 90° rotation 180° rotation 270° rotation

Translations

Under Construction - coming soon

Translations overview Vector notation Translations on a grid

Enlargements & Similarity

Enlargements & reductions Scale factor Similar shapes Similar triangles Scaled area Scaled volume The rule of 3

Coordinates

Cartesian coordinates Reading coordinates Plotting coordinates 3D coordinates Polar coordinates

Vectors

Scalar & vector quantities Components Magnitude Interactive – Vector Magnitudes Position vectors Unit vector Zero vector Equal vectors Adding vectors Subtracting vectors Collinearity Perpendicular vectors Angle between vectors Scalar product Section formula

Vectors (Advanced)

Vector product Scalar triple product Planes Vector equations Equations of a line Intersections Uses

Circle Basics

Calculating the circumference Calculating the area Circle – arcs & sectors overview Circle – length of arcs Circle – area of a sector Circle – chords and things Interactive Lengths of Arcs Interactive Area of Sectors

Circles & Triangles

Circle – Pythagoras in a circle Interactive – Angle in a semicircle

Advanced Circles

Locus Equation: x² + y² = r² Given centre & radius Line joining diameter General equation Intersection of line & circle Tangents Circle from chords Touching circlesInteractive – Touching Circles

Perimeter

Perimeter

Area

Area Area of a square Area of a rectangle Area of a triangle Area of a circle Area of a kite Area of a parallelogram Area of a rhombus Area of a trapezium Surface area

Volume

Volume Volume of a prism Volume of a cuboid Volume of a sphere Volume of a cone Volume of a cylinder Volume of a pyramid Composite area Composite volume

Bearings

Bearings overview Bearings Points of the compassBearings Bearings Navigator Grid Map Journey Navigator OS Style Grid Navigator

Scale Drawings

Map scales Scale drawing example The rule of 3

Altitudes

Altitudes Orthocentre

Medians

Median Centroid

Perpendicular Bisectors

Definition & construction Circumcircle Circumcentre

Concurrency

Concurrent lines Interactive – Median, Altitude, Orthocentre etc.

Pythagoras' Theorem

The theorem Finding the hypotenuse Finding a shorter side Converse Hidden Pythagoras Coordinates & Pythagoras Pythagoras in a Plane Pythagoras 3D

Matrix Algebra

Matrix basics Matrix multiplication

Determinants

2 × 2 determinant 3 × 3 determinant Cofactor Adjoint

Inverse Matrix

Finding the inverse

Transformation Matrices

Transformations