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Algebra
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Coordinate geometry
Calculus
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Discrete mathematics
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Graph theory
Probability
Statistics
Financial mathematics
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By year
Year 3
Year 4
Year 5
Year 6
Year 7
Year 8
Year 9
Year 10
Year 11
Year 12
Tools
Plot
Graphs and networks
The Hungarian algorithm
Activity networks
Cut capacity
Scientific calculator
For parents
Puzzles
Olympiad
Python
Art
Geometry skills
Year 3
Tests
Geometry: Projections of three-dimensional shapes
Geometry: Types of angles
Skills
Identify appropriate units of measurement
Unit conversion
Identify geometric shapes
Angle as a portion
Level 1:
Types of angles
Level 2:
Types of angles
Level 3:
Types of angles
Angles on a compass
Count sides and vertices of geometric shapes
Identify three dimensional shapes
Identify shape patterns
Find the area by counting squares
Making rectangles and squares
Count faces, edges and vertices of three-dimensional shapes
Level 1:
Projections of three-dimensional shapes
Level 2:
Projections of three-dimensional shapes
Cross sections of three-dimensional shapes
Nets of three-dimensional shapes
Lines of symmetry
Reflection and rotation
Level 1:
Assemble 3D block structures
Level 2:
Assemble 3D block structures
Level 1:
Count cubes in a 3D stack
Level 2:
Count cubes in a 3D stack
Level 3:
Count cubes in a 3D stack
Units of mass
Level 1:
Navigating a grid using compass directions
Level 2:
Navigating a grid using compass directions
Level 3:
Navigating a grid using compass directions
Transformations on a grid
Properties of three-dimensional shapes
Area of a compound 2D shape
Volume of a cuboid
Challenge
Number-step maze (Bekomaze)
Measuring length
Measuring volume
Perimeter of a compound 2D shape
Missing side of a rectangle
Scaling a figure on a grid
Comparing angles
Challenge
Tic-tac-toe non-winning moves
Year 4
Tests
Geometry: Geometric shapes
Geometry: Cross sections of three-dimensional shapes
Geometry: Types of angles
Skills
Identify appropriate units of measurement
Unit conversion
Identify geometric shapes
Angle as a portion
Level 1:
Types of angles
Level 2:
Types of angles
Level 3:
Types of angles
Angles on a compass
Count sides and vertices of geometric shapes
Areas and perimetres of squares and rectangles
Identify three dimensional shapes
Identify shape patterns
Find the area by counting squares
Making rectangles and squares
Count faces, edges and vertices of three-dimensional shapes
Level 1:
Projections of three-dimensional shapes
Level 2:
Projections of three-dimensional shapes
Cross sections of three-dimensional shapes
Nets of three-dimensional shapes
Lines of symmetry
Reflection and rotation
Level 1:
Assemble 3D block structures
Level 2:
Assemble 3D block structures
Level 3:
Assemble 3D block structures
Level 1:
Count cubes in a 3D stack
Level 2:
Count cubes in a 3D stack
Level 3:
Count cubes in a 3D stack
Identify polygons
Parallel or not parallel
Perpendicular or not
Transformations on a grid
Diagonals of a shape
Measuring length
Measuring volume
Year 5
Tests
Geometry: Projections of three-dimensional shapes
Geometry: Area by counting squares
Skills
Areas and perimetres of squares and rectangles
Length and area conversions
Calculate the properties of basic planar shapes
Find the area by counting squares
Lines of symmetry
Rotational symmetry
Reflection and rotation of objects
Projections of three-dimensional shapes
Area and perimeter of shapes
Angles
Volume and capacity
Properties of shapes
Level 1:
Assemble 3D block structures
Level 2:
Assemble 3D block structures
Level 3:
Assemble 3D block structures
Nets of three-dimensional shapes
Identify appropriate units of measurement
Find the area by summing circles
Find the area by summing squares and triangles
Area of a compound 2D shape
Volume of basic 3D shapes from given measurements
Finding the number of tiles
Area and perimeter of a triangle
Geometric reasoning with triangles
Year 6
Tests
Geometry: Area by counting squares
Skills
Identify acute and obtuse angles
Find the unknown angle
Length and area conversions
Find the area by counting squares
Perimeter and area
Lines of symmetry
Reflection and rotation of objects
Projections of three-dimensional shapes
Volume and capacity
The circle
Level 1:
Assemble 3D block structures
Level 2:
Assemble 3D block structures
Level 3:
Assemble 3D block structures
Year 7
Tests
Geometry: Count composite shapes
Skills
Find the unknown angle
Length and area conversions
Calculate the properties of basic planar shapes
Level 1:
Find the area by counting squares
Level 2:
Find the area by counting squares
Lines of symmetry
Pythagoras theorem
Level 1:
Transformation of objects
Level 2:
Transformation of objects
Level 1:
Count composite shapes
Level 2:
Count composite shapes
Surface area of basic shapes
Volume of right prisms
Circumference of a circle and the relationship with pi
Year 8
Tests
Geometry: Count composite shapes
Geometry: Solve an equation to find the unknown angle
Geometry: Angle in a triangle
Geometry: Properties of polygons
Skills
Level 1:
Find the unknown angle
Level 2:
Find the unknown angle
Level 3:
Find the unknown angle
Level 1:
Solve an equation to find the unknown angle in a triangle
Level 2:
Solve an equation to find the unknown angle in a triangle
Pythagoras theorem
Congruent triangles
Length and area conversions
Calculate the properties of basic planar shapes
Level 1:
Calculate the properties of compound planar shapes
Level 2:
Calculate the properties of compound planar shapes
Level 1:
Circumference of a circle
Level 2:
Circumference of a circle
Calculate the properties of basic three-dimensional shapes
Properties of polygons
Surface area of basic shapes
Calculate the volume of three-dimensional shapes
Level 1:
Object reflection and rotation
Level 2:
Object reflection and rotation
Congruent triangles
Similar triangles
Level 1:
Count composite shapes
Level 2:
Count composite shapes
Year 9
Tests
Geometry: Properties of compound planar shapes
Geometry: Solve an equation to find the unknown angle
Geometry: Angle in a triangle
Geometry: Properties of polygons
Skills
Parallel and non-parallel lines
Level 1:
Find the unknown angle
Level 2:
Find the unknown angle
Level 3:
Find the unknown angle
Level 1:
Solve an equation to find the unknown angle in a triangle
Level 2:
Solve an equation to find the unknown angle in a triangle
Congruent triangles
Level 1:
Count composite shapes
Level 2:
Count composite shapes
Pythagoras theorem
Calculate the properties of basic planar shapes
Level 2:
Calculate the properties of basic planar shapes
Calculate the area of a triangle using Heron's formula
Properties of polygons
Deciding if a polygon is convex or concave
Level 1:
Calculate the properties of compound planar shapes
Level 1:
Circumference of a circle
Level 2:
Circumference of a circle
Calculate the properties of basic three-dimensional shapes
Calculate the area of a compound shape
Surface area of basic shapes
Level 1:
Calculate the surface area of a pyramid
Level 2:
Calculate the surface area of a pyramid
Level 1:
Covering shapes with tiles
Congruent triangles
Similar triangles
Level 1:
Object reflection and rotation
Level 2:
Object reflection and rotation
Year 10
Tests
Geometry: Circle theorems involving chords
Geometry: Area of a compound shape
Geometry: Angle in a triangle
Skills
Pythagoras' theorem
Congruent triangles
Circle theorems involving chords, secants and tangents
Theorem on cyclic quadrilaterals
Calculate the area of a compound shape
Level 1:
Circumference of a circle
Level 2:
Circumference of a circle
Angles in a circle
Level 1:
Calculate the properties of compound planar shapes
Calculate the properties of basic three-dimensional shapes
Level 1:
Calculate the surface area of a pyramid
Level 2:
Calculate the surface area of a pyramid
Covering shapes with tiles
Classify angle types
Line and rotational symmetry
Convert metric units
Year 11
Skills
Calculate the area of a compound shape
Angles in a circle
Similarity and scale drawings
Area and volume scale factors
Volume of standard three-dimensional objects
Surface area of standard three-dimensional objects
Geometric proofs - circle theorems
Geometric proofs - Pythagoras theorem
Year 12
Skills
Earth coordinates and great circles
Distances on the Earth
Geometric proofs - circle theorems
Geometric proofs - Pythagoras theorem