MANGAHIGH
Shape
Angles
Types of angle
Basic angle rules
Opposite angles
Corresponding angles
Alternate angles
Measuring angles
Bearings
Triangles
The angles inside a triangle
Types of triangle
Proof of the sum of the angles in a triangle
Proof of the exterior angle rule for a triangle
Quadrilaterals
The angles inside a quadrilateral
Recognise a square and rectangle
Recognise quadrilaterals
Facts about quadrilaterals
Polygons
Recognise regular polygons
Exterior angles of polygons
Interior angles of polygons
Tessellations
Congruence
Recognise congruent shapes
Congruency
Congruent triangles
3D shapes
Recognise a cube and cuboid
Recognise a prism
Recognise a pyramid
Recognise a cylinder, sphere and cone
Nets
Isometric drawings
Elevated drawings
Length, area and volume
Perimeter of complex shapes
Area of complex shapes by counting squares
Calculations using the area of a rectangle
Area of quadrilaterals
Area of a triangle
Area of a triangle using trigonometry
Area of joined shapes
Surface area of cubes and cuboids
Surface area of joined shapes
Surface area of a sphere
Surface area of a cone
Surface area of a pyramid
Surface area of a frustum of a cone
Volume by counting cubes
Volume of a cuboid
Volume and problem solving
Volume of a prism
Volume of spheres
Volume of cones
Volume of pyramids
Volume of a frustum of a cone
Dimensions in formulae
Circles and cylinders
The parts of a circle
Circumference of a circle
Area of a circle
Find the radius from the circumference of a circle
Find the radius from the area of a circle
Arc length
Sector area
Segment area
Surface area of a cylinder
Volume of a cylinder
Circle theorems
Radius and chord rule for circles
Isosceles triangles inside circles
Right angle in a semi-circle rule
Cyclic quadrilateral rule for circles
Angle at the centre and angle at the edge rule for circles
Angles at the edge rule for circles
Radius and tangent rule for circles
Alternate segment theorem rule for circles
Similar shapes
Recognise similar shapes
Solve problems with similar shapes
Length, area and volume scale factors
Locus and construction
Construct triangles
Construct bisectors and other lines
Locus problems
Boundaries around shapes
Units of measurement
Metric units
Changing between metric and imperial units
Units of area and volume
Reading scales
Measuring
Maximum and minimum values of measurements
Symmetry
Rotational symmetry
Lines of symmetry
Planes of symmetry
Transformations
Rotation
Rotation about any point
Rotation on coordinate axes
Reflection - horizontal or vertical mirror line
Reflection - diagonal mirror line
Reflection - equations of mirror lines
Enlargement on a grid
Enlargement on coordinate axes
Enlargement - fractional scale factors
Enlargement - negative scale factors
Translation
Combine translations
Translation with a vector
Translation on coordinate axes
Combine simple transformations
Combine multiple transformations
Combine complex transformations
Pythagoras
Use Pythagoras' theorem to find the hypotenuse
Use Pythagoras' theorem to find the length of a shorter side
Use Pythagoras' theorem in 3D
Use Pythagoras' theorem to prove a triangle is right angled
Trigonometry
Use trigonometry to find lengths
Use trigonometry to find angles
3D trigonometry
Use the Sine rule for finding lengths
Use the Sine rule for finding angles
Use the Cosine rule for finding lengths
Use the Cosine rule for finding angles
Speed, distance, time
Speed, distance and time calculations
Distance/time graphs
Speed/time graphs
Density
Density formula
Population density
Vectors
Column vectors
Vector algebra
Vector problems
Parallel vectors
Prove 3 points lie on a line
Understanding properties of shape
Compare and order angles
Recognise perpendicular and parallel lines
Calculating angles around a point
Straight line angles
More properties of 2D shapes
Properties of 3D shapes
Sort and describe shapes
Draw shapes and patterns on a grid
Investigate faces, edges and vertices in 3D shapes
Estimate angles
Transforming shapes
Understand position, direction and movement
Use compass directions
Understanding measures
Choose and estimate measures
Common metric units
Recognise that measurement is approximate
Use measuring equipment
Record measurements
Time
24 hour clock
Use calendars and dates
Measure time
Area and perimeter
Estimate the area of shapes
Area of a rectangle