4 hours Year 9 Support Autumn Term Unit 4 Geometrical reasoning: shapes; Transformations; Coordinates; Construction

NNS P198-201
P216-227

Autumn Term

Spring Term Summer Term

Support (from Y7 teaching programme)
• Use ruler and protractor to construct simple nets of 3-D shapes, e.g. cuboid, regular tetrahedron, square-based pyramid, triangular prism
• Use conventions and notation for 2-D coordinates in all four quadrants; find coordinates of points determined by geometric information.
• Use a ruler and protractor to (a) measure and draw lines to the nearest millimetre and angles, including reflex angles, to the nearest degree (b) construct a triangle given two sides and the included angle (SAS) or two angles and the included side (ASA); explore these constructions using ICT.

Core (from Y8 teaching programme)
• Know and use geometric properties of cuboids and shapes made from cuboids; begin to use plans and elevations.
• Make simple scale drawings
• Use straight edge and compasses to construct a triangle, given three sides (SSS
); use ICT to explore these constructions.
• Given the coordinates of points A and B, find the mid-point of the line segment AB

Extension (from Y9 teaching programme)
• Visualise and use 2-D representations of 3-D objects; analyse 3-D shapes through 2-D projections, including plans and elevations.
• Use and interpret maps, scale drawings
• Use straight edge and compasses to construct a triangle, given right angle, hypotenuse and side (RHS)

Starters

Main

ICT

Scaffolding

Key Questions

Notes

MAP
~ Maps
~ Architects' plans and elevations (scale drawings too)

~ What Shape?

~ Visualisation


 

MAP
~ Plans and elevations multilink groupwork activity

~ Plans and elevations - another multilink activity
~ Plans of rooms / playground etc. (scale drawings)
~ 3 vertices

PRESTAGE/PERKS
~ Mid-points of squares p134 L6
~ Properties of shape, p135, p136

Mymaths

Coordinates 1

Coordinates 2

Nets

Plans Elevations

Constructing Triangles

Constructing Shapes

 

 

 

 

 

 

HORN, Cornwall
~ Geometrical visualisations 2

SMILE
~ Elephant (Coordinates package)

MAP
~ Cabri Geometry / Geometer's Sketchpad - see below...

Cabri / JJackson
~ More constructing triangles


HORN, Cornwall
~ Alternate and corresponding angles
~ Angles in a triangle
~ Geometrical visualisations 2


PRESTAGE / PERKS
~ Change the resources used for construction; e.g.to draw a triangle with angles 30°, 60°, 90°, use a protractor and ruler; pair of compasses and ruler; Cabri geometry; calculator and 45° set square etc (p26 and p45)

 

~ Given 2 elevations (or 1 elevation and a plan) of a 3-D shape, what could the shape be?

How many different triangles can be made with SSS, SAS, SSA?

MAP – Level Ladders
~ Construction, loci
~ Transformations
~ Geometric reasoning