Term 3Week 1-3; FSDr1,2,3 – Chapter 13 – Focus Study – Maths in DrivingWeek 4-7; MM1,2,3 – Chapter 2, 5, 9 – Units of Measurement and Applications; Applications of Perimeter, Area and Volume; Similarity and Right-Angle Triangles/TrigonometryWeek 8 – Catch Up Week/Revision if timeWeek 9 – ExamsTerm 4Week 1-2; Finish off the Preliminary Course
(eg MM3 – Ch 9 - Similarity and Right-Angle Triangles/Trigonometry)Week 3 – HSC Course begins
Term 3 – Looking ahead
Write the heading!
Write the heading!
You need this FACT SHEET
for these questions
Write the heading & highlighted notes!
The RTA is now know as the RMS: Stamp duty Link
No notes to write here; read it as a class or
individually
No notes to write here; read it as a class or individually
To Do: Ex 13A (p431)
Q2, 3, 6, Q8 (pick 2 cars & 1 motorbike),
Q9, 10, 11
Write the heading!
(a) I have borrowed 23.6
thousands, 23.6 x 20.76
= $489.94To Do: Ex 13B (p436)
Q1 (opt), 2, 3, 4, 6.
Write the heading!
View the linked Excel table: Fuel Running Costs (RACV)
Theory/NotesFuel Rates are calculated in: • km per Litre (km/L) or • Litres per km (L/km) or • Litres per 100km
(L/100km)
Ask: How far can it travel in 1L?Answer: 7.4 L / 100 km = = 100 7.4
= 13.5135… km on 1 Litre.So, if I have 48 L of petrol I can travel…Distance = 48 L 13.5135 km
= 648.6 km (about 649 km)
Ask: How much petrol does it take to travel in 1 km?
Answer: 11 L / 100 km = = 11 100 = 0.11 L for 1 km.
So, if I have to travel 640 km I need…Distance = 640 km 0.11 L
= 70.4 L
To Do: Ex 13C (p437)Q1 (opt), 2, 4,
6, 8, 9, 10*, 11** For students aspiring for a
Band 6 in General Maths
Write the heading & the
Theory.
Fill in the table below
from Ex 13D.
THINK? Which car
depreciates the least?
Write the Theory.This formula is on the General Maths Formula
Sheet
Write the Example!
Write the Example!
To Do: Ex 13D (p441)
Q2, 3, 4, 6, 8, 9
(Continued next slide)
Write the Example 4.
Note: A quicker way to the right hand column…Decreasing by
20% is the same as finding 80% of
the amount. i.e. “ 0.8”
Can you do this one? Watch my
quick way on the
calculator…
Write the Theory.This formula is on the General Maths Formula
Sheet
To Do: Ex 13D (p443)Q12(opt),13,14,15,16,17, 21, 22, 23* see W.E.7 (p445-446) * For students aspiring for a Band 6 in
General Maths
Write the heading!
Remember this table from earlier work linked Excel table: Fuel Running Costs (RACV)
To Do: Ex 13E (p448)
Q1-10,Q11-12* * For students
aspiring for a Band 6 in General Maths
Write the heading!
This is NOT on your General
Maths formula sheet and would need to be given in a question if it was asked about!
Write this theory. These two formulasare on the General
Maths Formula Sheet
This is NOT on your General
Maths formula sheet and would need to be given in a question if it was asked about!
To Do: Ex 13F (p450)Q2 (a, c, e), 4(a, b), 7, 11, 12, 13,
Q15* * For students aspiring for a Band 6 in General Maths
Write the heading!
To Do: Ex 13G (p454) Q1, 2, 3
Write the heading!
Write this theory. This formula
Is on the General Maths Formula
Sheet
How far does the car travel before I put my foot on the brake?D = S TD = 60 km/h 2.5 secondsPROBLEM – THE UNITS ARE ALL DIFFERENT (eg Hours vs Seconds)How many metres are in 1 km?1 km = 1000 metres, so 60 km/h is…60 km / h = 60 000 m / h.How many seconds are in 1 hour?60 60 = 3600 seconds!\ 60 km/h… Speed in metres per second is: 60 000 m / 3600 s… {calculate
this…}Speed (in m/s) = 16.7 m/sNOW D = S x T = 16.7 m/s 2.5 secondsD = 41.7 metresThis is the distance I travel BEFORE I even realise there is a problem that I need to brake for. It is called the reaction-time distance.
From LAST SLIDE…
These formulas are NOT on your General Maths
formula sheet and would need to be given in a question if it was
asked about.
How far does the car travel before I put my foot on the brake?D = S TD = 70 km/h 2.5 secondsPROBLEM – THE UNITS ARE ALL DIFFERENT (eg Hours vs Seconds)How many metres are in 1 km?70 km / h = 70 000 m / h.How many seconds are in 1 hour?60 60 = 3600 seconds!\ 70 km/h… Speed in metres per second is: 70 000 m / 3600 s… {calculate
this…}Speed (in m/s) = 19.4 m/sNOW D = 19.4 m/s 2.5 secondsD = 48.6 metresWhen I use the brakes how much distance is there until I stop (in dry conditions)?Use d = 0.01v2 from your text/notes (for this formula you can keep the velocity in km/h)
d = 0.01 702 = 49
TOTAL DISTANCE = 48.6 metres + 49 metres = 97.6 metres!
To Do: Ex 13H (p456)
Q1(opt), 2, 4, 5, 7(opt), 8,
9(opt), 10, 11
End of Focus Study topic!