4 hours Year 9 Core Autumn Term Unit 5 Construction and loci

NNS 14–17, 220–227

Autumn Term

Spring Term

Summer Term

Support (from Y8 teaching programme)
Use straight edge and compasses to construct:
- the mid-point and perpendicular bisector of a line segment;
- the bisector of an angle;
- the perpendicular from a point to a line;
- the perpendicular from a point on a line;
• C onstruct a triangle, given three sides (SSS); use ICT to explore these constructions.

Core (from Y9 teaching programme)
• Use straight edge and compasses to construct a triangle, given right angle, hypotenuse and side (RHS); use ICT to explore constructions of triangles and other 2-D shapes
• Find the locus of a point that moves according to a simple rule, both by reasoning and by using ICT

• Explore connections in mathematics across a range of contexts: shape and space

Extension (from Y9 objectives for able pupils)
Know from experience of constructing them that triangles given SSS, SAS, ASA or RHS are unique, but that triangles given SSA or AAA are not
Find the locus of a point that moves according to a more complex rule, involving loci and simple constructions.

Starters

Main

ICT

Scaffolding

Key Questions

Notes

1000 Playthinks
~ 329 Condition triangle
~ 346 Conditional quadrilateral

 

MAP

Rose windows – an example of the constructions that can be made using straight edges and compasses

 

Mymaths

Constructing Triangles

Constructing Shapes

Congruent Triangles


Active worksheets

Various activities

Keymaths

9-2 Chapter 15

ATM
~ Middle of middles pl12
~ Toppling squares (For the classroom; squares)

PoD
~ 3/65 The tethered goat
Cabri / JJackson
~ More constructing triangles

KS3 Framework - review methods p223


CORNWALL
Vocabulary and key questions related to the Framework

Show how you can construct a square / regular hexagon / regular octagon / regular dodecahedron / equilateral triangle with just a straight edge and compasses.

 

Alternatively – what regular polygons can you construct just using straight edge and compasses?

 

MAP - Level Ladders

~ Construction, loci