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goteachmaths.co.uk Loci – Complete Lesson Delete unwanted slides. To print handouts: File>Print>Print Current Slide

03 December 2018 Loci

A dog is connected to a stake in the ground by a 3m leash. Can he bite the man?

A dog is connected to a stake in the ground by a 3m leash. Can he bite the man? 3m

A dog is connected to a stake in the ground by a 3m leash. Can he bite the man? 3m

A dog is connected to a stake in the ground by a 3m leash. Can he bite the man? 3m

A dog is connected to a stake in the ground by a 3m leash. Can he bite the man? 3m

A dog is connected to a stake in the ground by a 3m leash. Can he bite the man? 3m

A dog is connected to a stake in the ground by a 3m leash. Can he bite the man? 3m

A dog is connected to a stake in the ground by a 3m leash. Can he bite the man? 3m The circle represents the locus of points 3 meters from the stake in the ground

A locus (plural loci) is a set of points that satisfy a description. 2cm 3cm 3cm A A B

A dog is tethered to a rail at the top of a triangular fence by a rope 1m long. Draw the locus of points the cow can graze. (1 square = 1m) A horse is tethered to a stake by a rope 3m long. Draw the locus of points the horse can graze. (1 square = 1m) A cow is tethered to a rail at the top of a 4m fence by a rope 1m long. Draw the locus of points the cow can graze. (1 square = 1m) 1) 3) 5) A A goat is tethered to the corner of a field (B) by a rope 9m long. Draw the locus of points the goat can graze. (1 square = 2m) A dog is tethered to the corner of a house (C) by a rope 4m long. Draw the locus of points the dog can reach. (1 square = 2m) A dog is tethered to the corner of a house (D) by a rope 3m long. Draw the locus of points the dog can reach. (1 square = 1m) B 2) 4) 6) D C

A dog is tethered to a rail at the top of a triangular fence by a rope 1m long. Draw the locus of points the cow can graze. (1 square = 1m) A horse is tethered to a stake by a rope 3m long. Draw the locus of points the horse can graze. (1 square = 1m) A cow is tethered to a rail at the top of a 4m fence by a rope 1m long. Draw the locus of points the cow can graze. (1 square = 1m) 1) 3) 5) A A goat is tethered to the corner of a field (B) by a rope 9m long. Draw the locus of points the goat can graze. (1 square = 2m) A dog is tethered to the corner of a house (C) by a rope 4m long. Draw the locus of points the dog can reach. (1 square = 2m) A dog is tethered to the corner of a house (D) by a rope 3m long. Draw the locus of points the dog can’t reach. (1 square = 1m) B 2) 4) 6) D C

Draw the locus of points 4.5 cm away from the edge of the rectangle. of the triangle.

Draw the locus of points 4.5 cm away from the edge of the rectangle. of the triangle.

Draw the locus of points 4.5 cm away from the edge of the rectangle. of the triangle.

A tiger is tied to the edge of a building (at A) with a 5m leash. Which humans can he eat? 1cm = 1m A A donkey is tied to a rail with a 4m leash. Which flowers can he eat? 1cm = 1m

A tiger is tied to the edge of a building (at A) with a 5m leash. Which humans can he eat? 1cm = 1m A A donkey is tied to a rail with a 4m leash. Which flowers can he eat? 1cm = 1m

Can the prisoner escape through the fog without being seen by the guards? Guards can see 4m in the fog. They walk their path. Escape! Infrared cameras see for 360° and 8m 2m = 1cm Start 4cm

Can the prisoner escape through the fog without being seen by the guards? Guards can see 4m in the fog. They walk their path. Escape! Infrared cameras see for 360° and 8m 2m = 1cm Start

Can the prisoner escape through the fog without being seen by the guards? Guards can see 2m in the fog. They walk their path. Infrared cameras see for 360° and 4m 1m = 1cm Start

Can the prisoner escape through the fog without being seen by the guards? Guards can see 2m in the fog. They walk their path. Infrared cameras see for 360° and 4m 1m = 1cm Start