WMC

We believe deep understanding is enhanced with mental hooks onto historical stories, hence the Inspiration round and one section of the Confidence round is focused upon the work of twenty-five mathematicians from within a specified century.

For the September 2024 to July 2025 season, focus is on work from the 15th-16th century:

Aloysius Lilius	Gerardus Mercator (Kremer)	Jyesthadeva	Pedro Nunes	Thomas Digges
Christopher Clavius	Gerolamo Cardano	Ludovico Ferrari	Pierre Gasendi	Thomas Harriot
Francois Viete	Henry Briggs	Michael Maestlin	Raphael Bombelli	Willebrord Snell
Galileo Galilei	Johannes Kepler	Niccolo Fontana (Tartaglia)	Robert Recorde	William Oughtred
Georg Joachim Rheticus	John Napier	Nicolaus Copernicus	Simon Stevin	Xu Guangqi

This learning content is comprised of conceptual understanding statements, which have been crafted by considering important generic knowledge, for a happier life, of:

Numeracy
Pattern spotting
Logic
Deductive reasoning

within real-life as well as abstract situations.

Each Championships will feature content at the same level and below.

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EU	DESCRIPTOR
Algebra & Geometry
Junior
Tessellations	Identify tilings that create monohedral tessellations
Relations Mappings and Equations	Graphically solve a small system of equations in context
Perimeter and Area	Use nets and coordinates to calculate perimeter and area
Nets and Volume	Find Volume of composite Polyhedra from their net
Trigonometry	Recognise common ratios between the sides of and angles within a right-angled triangle
Theorems	identify and use the circle theorems in solving problems
Graph Theory	Use the handshaking lemma and komplete graphs in simple cases
Direction and Angles	Calculate and use amounts of turn in radians
Theorems	Know and use Pick's Theorem as a tool within calculations
Tessellations	Recognise the geometric properties of the Torus and Klein bottle are different in cartesian and spherical geometry
Vectors	Represent a scalar product geometrically and use it in calculating intersections and angles of lines
Exponential and Logarithmic	Recognise the effect of increasing interest rates over absolute interest
Polygons and Polyhedra	Solve for measures of angles and segments relating to circles
Polygons and Polyhedra	Calculate perimeters and areas of sectors and segments relating to circles
Area and Surface Area	Calculate the area of any triangle
Proof	Appreciate and follow the logic required in creating direct mathematical proofs, and proof by contradiction
Area and Surface Area	Find the area of compound polygons
Axioms and Logic	Identify when a statement is logical or not (ie tautology)
Matrices	Use matrices to transform images around a cartesian grid
Matrices	Use matrices to visualise and draw transformed images of shapes on a cartesian grid
Nets and Volume	Find the dimensions of composite Polyhedra from the Volume
Vectors	Perform simple transformations within 3D space
Vectors	Identify multiple transformations in 2D
Trigonometry	Recognise common ratios between the sides of and angles within any triangle
Combinatorics	Calculate binomial problems involving simple permutations
Area and Surface Area	Find the SA of compound polyhedra
Primary
Directions and Angles	Have an understanding of the estimation of magnitudes
Coordinates	Know and use first quadrant cartesian coordinates in context
Direction and Angles	Provide directions using a 4-point compass rose
Relations Mappings and Equations	Visualise times tables with an arithmetic translation in a mapping
Topology	Appreciate the graphical representation of a constant input with independent output and vice versa
Nets and Volume	Distinguish between and label common polygon shapes
Area and Surface Area	Find area of right-angled polygons and surface area of right-angled polyhedra
Nets and Volume	Find the volume of right-angled polyhedra
Theorems	Recognise the fundamental axioms of geometry: Amount of turn round a point, vertically opposite and corresponding angles
Vectors	Recognise the spacial effect of a translation slide movement
Tessellations	Maintain a visual appreciation for shapes that create tiling patterns
Operations	Use everyday contexts to create calculations
Polygons and Polyhedra	Distinguish between and label common polyhedron objects
Nets and Volume	Find the volume of right-angled polyhedra
Directions and Angles	Use appropriate metric units when representing quantities
Polynomials	Simplify any expression
Trigonometry	Understand the relationship connecting the perpendicular sides and area of a right-angled triangle
Vectors	Recognise and describe the spacial effect of a spin rotation
Directions and Angles	Use appropriate imperial units when representing quantities
Polygons and Polyhedra	Identify the labels relating to circles
Area and Surface Area	Identify and name angles smaller or larger than multiples of quarter turns
Area and Surface Area	Distinguish triangles from the magnitude of their angles or lengths of sides
Vectors	Recognise the spacial effect of a mirror image reflection
Secondary
Direction and Angles	Provide directions using an 8-point compass rose

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