1. 02/12/2018
Angles

2. 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

3. 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

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

5. 02/12/2018 Example 1 50o 2 67o 0 on the inside so use inside scale
0 on the outside so use outside scale

6. 02/12/2018 Example 3 120o 4 135o 0 on the inside so use inside scale
0 on the outside so use outside scale

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

8. 02/12/2018
Bearings

9. 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

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

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

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

13. 02/12/2018
2) What is the bearing? 6° 6°
06°
006°

14. 02/12/2018
3) What is the bearing?
145°
135°
45°
45°
045°

15. 02/12/2018
4) What is the bearing?
232°
052°
128°
52°
242°

16. 02/12/2018
5) What is the bearing?
037°
237°
37°
333°
323°

17. 205° 025° 25° 335° 6) What is the bearing of B from A? 02/12/2018 B

18. 032° 148° 212° 32° 7) What is the bearing of B from A? 02/12/2018 A

19. 02/12/2018 2) 3) 4) 6) 7) 8) 10) 11) 12) Due North - East Due West
Task Find the bearings shown
2) ) )
6) ) )
10) ) )
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˚

20. 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°

21. 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

22. 02/12/2018
Using a scale

23. 02/12/2018
How far would this line represent using the scale below?
12cm A B
Scale - 1cm : 6km

24. 02/12/2018
How long would you have to draw a line to represent 35km using the scale below A B
Scale - 1cm : 7km

25. 02/12/2018
Have a go at the scale drawing sheet

26. 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

27. 02/12/2018

28. 02/12/2018
Sunken treasure task solution