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

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Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 – Focus Study – Maths in Driving Week 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/Trigonometry Week 8 – Catch Up Week/Revision if time Week 9 – Exams Term 4 Week 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

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Term 3 – Looking ahead. Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 – Focus Study – Maths in Driving Week 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/Trigonometry - PowerPoint PPT Presentation

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

Page 1: 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

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

Write the heading!

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

Write the heading!

You need this FACT SHEET

for these questions

Page 4: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving
Page 5: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

Write the heading & highlighted notes!

The RTA is now know as the RMS: Stamp duty Link

Page 6: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

No notes to write here; read it as a class or

individually

Page 7: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

No notes to write here; read it as a class or individually

Page 8: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving
Page 9: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving
Page 10: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

To Do: Ex 13A (p431)

Q2, 3, 6, Q8 (pick 2 cars & 1 motorbike),

Q9, 10, 11

Page 11: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

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.

Page 12: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

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)

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

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

Page 14: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

Write the heading & the

Theory.

Fill in the table below

from Ex 13D.

THINK? Which car

depreciates the least?

Page 15: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

Write the Theory.This formula is on the General Maths Formula

Sheet

Write the Example!

Page 16: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

Write the Example!

To Do: Ex 13D (p441)

Q2, 3, 4, 6, 8, 9

(Continued next slide)

Page 17: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

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…

Page 18: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

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

Page 19: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

Write the heading!

Remember this table from earlier work linked Excel table: Fuel Running Costs (RACV)

Page 20: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

To Do: Ex 13E (p448)

Q1-10,Q11-12* * For students

aspiring for a Band 6 in General Maths

Page 21: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

Write the heading!

Page 22: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

This is NOT on your General

Maths formula sheet and would need to be given in a question if it was asked about!

Page 23: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

Write this theory. These two formulasare on the General

Maths Formula Sheet

Page 24: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

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

Page 25: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

Write the heading!

To Do: Ex 13G (p454) Q1, 2, 3

Page 26: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

Write the heading!

Write this theory. This formula

Is on the General Maths Formula

Sheet

Page 27: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

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.

Page 28: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

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.

Page 29: Term 3 Week 1-3; FSDr1,2,3 – Chapter 13 –  Focus Study – Maths in Driving

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

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End of Focus Study topic!