1
Maths Quest General Mathematics NSW HSC Course
Work Program
Chapter 13: Spherical geometry
M7: Measurement
Section
Are you ready?
(page 384)
Content
Arc lengths
(page 385)
WE 1, 2, 3
Ex 13A Arc lengths
(page 386)
Arc lengths
 calculating
circumference of a
circle
 calculating lengths
of arcs of circles
Great circles and small
circles
 finding lengths of
great circles
 calculating lengths
around small circles
Great circles and
small circles
(page 389)
WE 4, 5
Ex 13B Great circles
and small circles
(page 390)
Latitude and
longitude (page 393)
WE 6, 7
Ex 13C Latitude and
longitude (page 396)
Distances on the
Earth’s surface
(page 397)
WE 8, 9, 10, 11
Latitude and longitude
 locating places on
the globe given their
latitude and
longitude
 reading latitude and
longitude from a
map
Distances on the Earth
 calculating angular
distance
 calculating distance
GC tips, Investigations,
10 Quick Questions
10 Quick Questions 1
(page 392)
Investigation: Important
parallels of latitude
(page 397)
SkillSHEETS, WorkSHEETS,
Test yourself, Topic Tests
(CD-ROM)
SkillSHEETs (page 384)
13.1: Circumference of a
circle
13.2: Calculating arc length
13.3: Converting units of time
SkillSHEET 13.1:
Circumference of a circle
(page 386)
SkillSHEET 13.2: Calculating
arc length (page 387)
WorkSHEET 13.1 (page 391)
Technology applications
(CD-ROM)
Prescribed skills, knowledge
and understanding
Cabri Geometry: Arc
lengths (page 386)

calculating arc lengths of a
circle

distinguishing between great
and small circles

using the Equator and the
Greenwich Meridian as lines
of reference for locations on
the Earth’s surface
locating positions on the
globe using latitude and
longitude

10 Quick Questions 2
(page 401)


converting nautical miles (M)
to kilometres and vice versa,
given 1.852 km = 1 M
calculating distances between
2
Ex 13D Distances on
the Earth’s surface
(page 399)
between two points
on a great circle in
nautical miles and in
km

Time zones
(page 401)
WE 12, 13, 14, 15
Ex 13E Time zones
(page 404)
Time
 calculating time
differences
 applying
calculations of time
differences to travel
questions
Investigation: Australian
time zones (page 402)
Investigation: The keepers
of time (page 405)
SkillSHEET 13.3: Converting
units of time (page 404)
WorkSHEET 13.2 (page 405)



Summary (page 406)
Chapter review
(page 407)
Practice examination
questions (page 409)
‘Test yourself’ multiple choice
questions (page 410)
Topic tests (2)
two points on the same great
circle in nautical miles and
kilometres (radius of the
Earth to be taken as 6400 km)
defining 1 knot as a speed of
1 M per hour
using time zones and the
International Date Line in
solving problems
calculating time differences
given the difference in
longitudes (Apply 15 = 1
hour and 1 = 4 minutes time
difference. Daylight savings
time is to be considered).
determining times for cities
in different countries in
related travel questions