# Geometry

Shape Properties

• Durham Maths Mysteries – Properties of Shape
• Standards Unit SS1 – Classifying Shapes
• New Zealand Maths – Mum’s Kitchen – symmetry
• NRICH – Completing Quadrilaterals (1* challenge)
• NRICH – Semi-Regular Tessellations – interactive task (1* challenge)
• NRICH – Guess my Quad (1* challenge)
• NRICH – Quadrilaterals Game – pair game (1* challenge)
• NRICH – Shady Symmetry (1* challenge)
• NRICH – Reflecting Squarely (1* challenge)
• NRICH – Property Chart – classifying quadrilaterals or triangles (2* challenge)
• NRICH – Eight Hidden Squares (2* challenge)
• NRICH – Attractive Tablecloths – symmetry (KS4 2* challenge)
• NRICH – Shapely Pairs – pair game (3* challenge)

3D Shapes

Measures

• New Zealand Maths – Tim’s Trip – SDT
• New Zealand Maths – 1000 Seconds – time
• NRICH – Place Your Orders – Fermi style estimation (1* challenge)
• NRICH – Olympic Measures – units card sort (1* challenge)
• NRICH – Speed-Time Problems at the Olympics – Fermi style estimation (KS4 1* challenge)
• NRICH – Thousands and Millions – Fermi style estimation (2* challenge)
• NRICH – All in a Jumble – units card sort (2* challenge)
• NRICH – An Unhappy End – SDT (2* challenge)
• NRICH – Speeding Boats – SDT (KS4 2* challenge)
• NRICH – Walk and Ride – SDT (3* challenge)

Coordinates

• New Zealand Maths – Treasure Map
• Don Steward – Coordinates of Quadrilaterals
• NRICH – Cops and Robbers – interactive task (1* challenge)
• NRICH – Coordinate Patterns (2* challenge)
• NRICH – Route to Infinity (2* challenge)

Real Life Graphs

• Standards Unit A6 – Interpreting distance-time graphs
• The Amelie Fashion Activity – longer puzzle activity using SDT and other skills
• Don Steward – Distance Time Graphs and Average Speed
• NRICH – Fill Me Up – filling containers (2* challenge)
• NRICH – Maths Filler – filling containers (2* challenge)
• NRICH – How Far Does it Move? Distance time graphs interactive task (1* challenge)
• NRICH – Speeding Up, Slowing Down – distance time graphs interactive task (2* challenge)
• NRICH – Up and Across – distance time graphs interactive task (3* challenge)
• NRICH – What’s That Graph? (KS4 2* challenge)

Area and Perimeter

• New Zealand Maths – Fertiliser – area
• New Zealand Maths – Chicken Run – area and perimeter
• New Zealand Maths – Peter’s String – area and perimeter
• Don Steward – Rectangle Areas
• Don Steward – Equable Right Angles Triangles – area and perimeter of RA triangles
• Don Steward – Equable Parallelograms – area and perimeter of parallelograms
• Don Steward – Equable Trapeziums – area and perimeter of trapeziums
• Area Mazes – puzzles involving area of a rectangle
• NRICH – Warmsnug Double Glazing (KS4 1* challenge)
• NRICH – Quadrilaterals in a Square – algebra needed (2* challenge)
• NRICH – Compare Area (KS4 3* challenge)
• NRICH – Perimeter Challenge (1* challenge)
• NRICH – Changing Areas, Changing Perimeters (1* challenge)
• NRICH – Can They Be Equal? (1* challenge)
• NRICH – Fence It (1* challenge)
• NRICH – Blue and White – area of a circle (1* challenge)
• NRICH – Triangles and Petals  – short video to watch (KS4 2* challenge)
• Youcubed – Paper Folding

Volume and Surface Area

• NRICH – Cuboid Challenge (2* challenge)
• NRICH – Cuboids – surface area (3* challenge)
• NRICH – Cola Can (3* challenge)

Scale Drawings

Similar Shapes

• NRICH – Growing Rectangles (1* challenge)
• NRICH – Fit for Photocopying (KS4 3* challenge)

Transformations

• Standards Unit SS5 – Evaluating statements about enlargement
• Standards Unit SS7 – Transforming shapes
• Standards Unit SS8 – Developing an exam question: transformations
• Don Steward – Tangram Transformation
• NRICH – Transformations – Short Problems (1* – 3* challenges)
• NRICH – Attractive Rotations (1* challenge)
• NRICH – Mirror, Mirror… – reflection (1* challenge)
• NRICH – …on the Wall – reflection and rotation (2* challenge)
• NRICH – Transformation Game – pair game (2* challenge)
• NRICH – Who’s the Fairest of Them All? Enlargement (3* challenge)

Vectors

• Don Steward – Grid Moves
• Don Steward – Harder GCSE Vector Questions
• NRICH – Vector Racer – pair game (1* challenge)
• NRICH – Vector Journeys (KS4 1* challenge)
• NRICH – Vector Walk (KS4/5 1* challenge)
• NRICH – Vector Gem Collector – interactive game (KS4/5 1* challenge)
• NRICH – Areas of Parallelograms using vectors (KS4 2* challenge)
• NRICH – From Point to Point (KS4 3* challenge)

Loci and Constructions

• Durham Maths Mysteries – Loci
• Maths Assessment Project – Optimising coverage: security cameras – full lesson
• NRICH – Construction Short Problems (1* – 3* challenges)
• NRICH – Constructing Triangles – 10 sided die or random number generator needed) (1* challenge)
• NRICH – The Farmers’ Field Boundary (2* challenge)
• NRICH – An Unusual Shape – loci (2* challenge)
• NRICH – Rolling Around – interactive task (2* challenge)
• NRICH – Squirty – constructing triangles and squares (KS4 2* challenge)
• NRICH – Rollin’ Rollin’ Rollin’ – interactive task (3* challenge)

Angles

• Mr Barton’s Rich Task – How Many Angles? Printed Geoboard task
• Don Steward – Angles Practice Makes Perfect
• Don Steward – Angles with Algebra
• Don Steward – Angles Proofs
• Don Steward – Isosceles Triangles Proofs
• Don Steward – Parallel Line Angle Relationships and Proofs
• Don Steward – Arc Length and Sector Area
• Don Steward – Bearings
• Maths Sphere – A Square Triangle? Angles in a triangle and square numbers
• NRICH – Estimating Angles – interactive game (1* challenge)
• NRICH – Angles Inside – angles in parallel lines interactive task (1* challenge)
• NRICH – Star Polygons – interior angles (2* challenge)

Pythagoras’ Theorem

• Resourceaholic Pythagoras Problem Set
• NRICH – Tilted Squares (1* challenge)
• NRICH – Garden Shed (2* challenge)
• NRICH – Two Ladders (KS4 2* challenge)
• NRICH – Inscribed in a Circle (KS4 2* challenge)
• NRICH – Semi-Detached (KS4 2* challenge)
• NRICH – Where to Land – also uses SDT (KS4 2* challenge)
• NRICH – The Spider and the Fly (KS4 2* challenge)
• NRICH – Three Cubes (KS4 2* challenge)
• NRICH – Ladder and Cube (KS4 3* challenge)
• NRICH – Pythagoras and Trigonometry Short Problems (KS4 1* – 3* challenges)
• Don Steward – 3D Pythagoras’ Theorem

Trigonometry: Right Angled Triangles

• NRICH – Where is the Dot? Video to watch (KS4 1* challenge)
• NRICH – Far Horizon (KS4 3* challenge)
• NRICH – Pythagoras and Trigonometry Short Problems (KS4 1* – 3* challenges)

Trigonometry: Sine and Cosine Rule

Proof

• Don Steward – Angles Proofs
• Don Steward – Isosceles Triangles Proofs
• Don Steward – Parallel Line Angle Relationships and Proofs
• Don Steward – Pythagoras’ Theorem
• Don Steward – Harder GCSE Vector Questions – vector proofs
• NRICH – Angles, Polygons and Geometrical Proof Short Problems
• NRICH – Colourful Cube (1* challenge)
• NRICH – Making Sixty – paper folding and angles proofs (KS4 1* challenge)
• NRICH – Sitting Pretty (KS4 2* challenge)
• NRICH – Pythagoras Proofs (KS4 2* challenge)
• NRICH – Tet-Trouble (KS4 3* challenge)
• NRICH – Partly Circles (KS4 3* challenge)
• Youcubed – Picture Story – picture proof
• Youcubed – Finding Pi – scissors and glue needed.