02/12/2018 Angles

02/12/2018 PARALLEL PERPENDICULAR Lines Any two lines will either never meet, or will have to meet at some point Another word for meet is intersect The notation in the diagram depends on what types of lines there are Do not ever intersect Intersect Intersect at right angles PARALLEL PERPENDICULAR Matching arrows on lines Right angles at the intersection

02/12/2018 Angles When lines meet, four different types of angles can be formed Less than 90ᵒ Between 90ᵒ and 180ᵒ Greater than 180ᵒ Exactly 90ᵒ ACUTE OBTUSE REFLEX RIGHT-ANGLE Curved label Box label

02/12/2018 1 2 3 4 5 6 7 8 9 Acute Acute Obtuse Right Obtuse Reflex

02/12/2018 Example 1 50o 2 67o 0 on the inside so use inside scale 0 on the outside so use outside scale

02/12/2018 Example 3 120o 4 135o 0 on the inside so use inside scale 0 on the outside so use outside scale

Estimate the size of these angles 02/12/2018 Estimate the size of these angles 1 2 3 4 6 5

02/12/2018 Bearings

02/12/2018 Bearings Bearings are a measure of direction taken from North. If you were travelling North you would be travelling on a bearing of 000°. If you were travelling from the point P in the direction shown by the arrow then you would be travelling on a bearing of 075°. N Bearings are always measured clockwise from North and are written as three figures. 75° P

MEASURING OR CALCULATING BEARINGS 02/12/2018 MEASURING OR CALCULATING BEARINGS

On your mini whiteboards… 02/12/2018 BEARINGS On your mini whiteboards… Quick Questions!

02/12/2018 1) What is the bearing? 30° 150° 30° 030°

02/12/2018 2) What is the bearing? 6° 6° 06° 006°

02/12/2018 3) What is the bearing? 145° 135° 45° 45° 045°

02/12/2018 4) What is the bearing? 232° 052° 128° 52° 242°

02/12/2018 5) What is the bearing? 037° 237° 37° 333° 323°

205° 025° 25° 335° 6) What is the bearing of B from A? 02/12/2018 B

032° 148° 212° 32° 7) What is the bearing of B from A? 02/12/2018 A

02/12/2018 2) 3) 4) 6) 7) 8) 10) 11) 12) Due North - East Due West Task Find the bearings shown 2) 3) 4) 6) 7) 8) 10) 11) 12) 072˚ 9˚ 009˚ 148˚ 227˚ 72˚ 32˚ 47˚ Due North - East 356˚ Due West 4˚ 090˚ 270˚ 045˚ 292˚ Due South - West 000˚ 264˚ 96˚ 112˚ 225˚

Directions and bearings 02/12/2018 Directions and bearings 000° N 315° 045° NW NE 270° W E 090° SW SE 225° 135° S 180°

02/12/2018 One things to be careful of! If we have 2 dots A and B then how what angle would we find to get the bearing of B from A B A

02/12/2018 Using a scale

02/12/2018 How far would this line represent using the scale below? 12cm A B Scale - 1cm : 6km

02/12/2018 How long would you have to draw a line to represent 35km using the scale below A B Scale - 1cm : 7km

02/12/2018 Have a go at the scale drawing sheet

02/12/2018 Sunken treasure task You are the captain of the Ravenclaw. Recently you purchased a treasure map from a bard you met in a tavern. You were assured that it led to a hidden treasure. So you have set sail to follow the map and find the treasure. START at the co-ordinate (-5, -7). WORKSHEET and INSTRUCTIONS

02/12/2018

02/12/2018 Sunken treasure task solution