Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 – Focus Study – Maths in Driving

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!