# 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