Geometry and measures
An alternative index of resources based on this area of the curriculum
Bring on the Maths | Maths to Infinity | Autograph | Sketchpad | Other Resources
Bring on the Maths
The full list of 'Bring on the Maths' sample activities can be found here. Those based on Geometry & Measures are listed below.
- Finding angles (Year 7)
- Calculating areas (Year 8)
- Transformations (Year 9)
- Logic: Pythagoras (Year 9)
- Combining transformations (Higher Shape)
- Trigonometric ratios (Higher Shape)
- Alternate segment theorem (Higher Shape)
- Working with angles (Foundation Top-up)
Maths to Infinity
The full list of 'Maths to Infinity' files can be found here. Those based on Geometry & Measures are listed below.
Autograph Resources
The full list of Autograph resources can be found here. Those based on Geometry & Measures are listed below.
- An interactive approach to teaching the four transformations
- Reflection worksheet
- Rotation worksheet
- Translation worksheet
- Enlargement worksheet
- Constructing a perpendicular bisector
- Constructing an angle bisector
- Constructing an equilateral triangle
- Constructing a square
- Constructing a regular hexagon
- Loci
- Angles on a straight line
- Alternate angles
- Corresponding angles
- Angles in the same segment
- Angles at the centre and at the circumference
- Angle in a semicircle
- The tangent to a circle
- Perpendicular bisecting a chord
- Triangle in a circle
- A 3 by 3 pinboard
- A line and a circle
- Adding and subtracting vectors
Geometer's Sketchpad Resources
The resources below have all been created using Geometer's Sketchpad although the ideas are, of course, transferable to other dynamic geometry software. Each file is produced as a GSP file and a copy of the dynamic image is included in the MS Word file.
- Alternate Segment Theorem: GSP, Word
- Cyclic Quadrilateral: GSP, Word
- Radius and Tangent: GSP, Word
- Angles in the Same Segment: GSP, Word
- The Angle in the Centre: GSP, Word
- Two Tangents: GSP, Word
- Centroid of a Triangle: GSP, Word
- Circumcentre of a Triangle: GSP, Word
- Incentre of a Triangle: GSP, Word
- Orthocentre of a Triangle: GSP, Word
- Van Aubel's Theorem: GSP, Word
- Napoleon's Theorem: GSP, Word
- Thebault's Theroem: GSP, Word
- Rose Window: GSP, Word
Other Resources
Other free resources are listed here. All of these are referenced in the relevant scheme of work.
- Angles: Cut and stick vocabulary activity
- Angles: Alternate and corresponding angles
- Angles: Alternate and corresponding angles
- Angles: Angles in polygons
- Area: Investigating equable shapes
- Area: A totally mad area trick. Guaranteed to amaze!
- Area: Deriving area formulae
- Area: Surface area of cuboids
- Bearings: A practical introduction to bearings - easily adaptable
- Bearings: A selection of problems involving bearings - starting with Birmingham Airport
- Circles: Vocabulary of circles
- Circles: Investigating the connection between the circumference and diameter of a circle
- Circles: Investigating the connection between the circumference and diameter of a circle (alternative version)
- Circles: Problems involving the circumference of a circle
- Circles: Problems involving the area and circumference of a circle
- Circle theorems: Thales' Theorem
- Construction: A 'magic trick' to emphasise the importance of accurate drawing
- Construction: Instructions for constructions
- Construction: Problems involving standard constructions
- Construction: A set of little-known construction challenges. See the GSP files above for examples.
- Construction: A set of problems involving the perpendicular bisector
- Loci: Some practical loci problems. Good as an introduction.
- Loci: Gilbert the hungry goat
- Loci: Investigating a toppling shape
- Measures: Length
- Measures: Capacity
- Measures: Practical problems involving mass and capacity
- Measures: A sorting units activity
- Measures: Converting between metric and Imperial units
- Nets: Complete the net
- Plans and Elevations: A quick activity involving interpreting plans and elevations
- Plans and Elevations: A set of tasks involving interpreting plans and elevations
- Plans and Elevations: Group activity involving construction of plans and elevations
- Plans and Elevations: Interpreting isometric drawings and constructing plans and elevations
- Polygons: Identifying the properties of various special polygons
- Polygons: A selection of problems involving special quadrilaterals
- Proof: Developing geometrical proof
- Properties of shape: A selection of problems using dotty paper
- Properties of shape: Naming 2D and 3D shapes
- Properties of shape: Investigating Euler's formula
- Properties of shape: A large collection of problems
- Pythagoras' Theorem: A great cut and stick activity to introduce or to recap
- Pythagoras' Theorem: A way to introduce Pythagoras' Theorem based on a cave in Cornwall. Can be used alongside the above task.
- Pythagoras' Theorem: A spreadsheet that identifies many Pythagorean triples. If pupils know how to use conditional formatting, this is a lovely activity for them to try.
- Symmetry: Using reflection to complete Rangoli Patterns. Lovely display material.
- Symmetry: Investigating rotational symmetry
- Tessellation: Completing tessellations and constructing your own tessellating shapes
- Time: Timetables
- Transformations: An introduction to translation including vectors
- Transformations: A simpler version of the above sheet, this time no vectors
- Transformations: Reflection, rotation and translation
- Transformations: Investigating reflection and rotation
- Transformations: Using Autograph to investigate transformations
- Transformations: A set of problems involving enlargement
- Transformations: More problems involving enlargement
- Transformations: A template for carrying out transformations
- Trigonometry: An exploration of similar triangles and deriving the basic trigonometric functions. Set squares, isometric paper and Pythagoras' Theorem needed!
- Visualising: Unravelling dice
- Visualising: Visualising 3D shapes
- Volume: How many grains of rice fill your classroom?!
- Volume: Volume of frustums matching activity