Wednesday 20th October 2010
LESSON OBJECTIVE
To Study Examples of Applying Mathematics
To Real-Life Decisions
Mr Elisha
Starter Activity
A supermarket sells biscuits in these packets:
1. 15 biscuits for 56p
2. 24 biscuits for 88p
3. 36 biscuits for £1.33
Which packet is the best value for money?
Why do you think this is the case?
Starter Activity
A supermarket sells biscuits in these packets:
1. 15 biscuits for 56p
2. 24 biscuits for 88p
3. 36 biscuits for £1.33
Which packet is the best value for money?
1. 3.73p a biscuit 2. 3.66p 3. 3.69p
Why do you think this is the case?
Is price the same as value ? Discuss .......
Buying Trainers !
At Alan’s sports shop, GoFast trainers usually
cost £40.95, but there is 1⁄3 off in the sale.
At Irene’s sports shop, GoFast trainers normally
cost £40, but there is a discount of 30% in the
sales. Which shop sells the trainers for less ?
Buying Trainers !
At Alan’s sports shop, GoFast trainers usually
cost £40.95, but there is 1⁄3 off in the sale.
At Irene’s sports shop, GoFast trainers normally
cost £40, but there is a discount of 30% in the
sales. Which shop sells the trainers for less ?
Alan’s is cheapest !
£40.95 x 2/3 = £27.30 £40 x 70% (0.7) = £28
We needed Percentages and Fractions
Lesson Vocabulary Task
We need to have the right vocabulary before we
can talk about making decisions.
Task: Write down at least 10 words you think
are connected to making a decision.
Compare, Percentage, Fraction, Highest, ....
Lesson Vocabulary Task
We need to have the right vocabulary before we
can talk about making decisions.
Task: Write down at least 10 words you think
are connected to making a decision.
Compare, Rank, Percentage, Fraction, Highest,
Lowest, True, False, Better, Worse, Fastest,
Slowest, Value/Price, Cheapest, Money, Units ...
Worksheet Introduction – Historic Holidays
A family is planning a holiday to Egypt and they
have to choose a hotel. Hotels offer 3 different
options on the food provided.
1. Bed & Breakfast BB
2. Half-Board HB (Bed, Breakfast & Dinner)
3. Full-Board FB (Bed, Breakfast, Lunch &
Dinner)
But remember you need to eat 3 meals a day !
Historic Holidays – Question 1 & 2
HOTEL (7 days)
HOTEL PYRAMID
HOTEL NILE
HOTEL SPHINX
HOTEL PHARAOH
ADULTS COST
CHILDREN COST
TOTAL COST
(5 People)
Historic Holidays – Question 1 & 2
HOTEL (7
days)
ADULT COST CHILDREN COST
TOTAL COST
HOTEL
PYRAMID
499 x 2 =
998
399 x 3 = 1197
998 + 1197
= 2195
HOTEL
NILE
529 x 2 =
1058
80% of 529 = 423.2
423.2 x 3 = 1269.6
1058 + 1269.6
= 2327.6
HOTEL
SPHINX
699 x 2 =
1398
70% of 699 = 489.3
489.3 x 3 = 1467.9
1398 + 1467.9
= 2865.9
HOTEL
PHARAOH
585 x 2 =
1170
349 x 3 = 1047
= 2217
Worksheet Question 3
Remember even though the Hotel may not offer
3 meals the family still need 3 meals !
Bed & Breakfast BB – Extra 70 meals needed
Half-Board HB
– Extra 35 meals needed
Assume that the average cost of a meal outside
the Hotel is £10 per person, what hotel is the
most expensive now ?
Worksheet Question 3
Bed & Breakfast BB – Extra £700 needed
Half-Board HB
– Extra £350 needed
Assume that the average cost of a meal outside
the Hotel is £10 per person, what hotel is the
most expensive now ?
Pyramid BB 2195 + 700 = £2895, Nile HB 2327.6
+ 350 = £2677.6, Sphinx FB £2865.9, Pharaoh
HB 2217 + 350 = £2567
Extension Task
Write down a numbered list for choosing a hotel
when planning a holiday. This numbered list
could be the first step in a computer program.
1. First thing to do .... e.g. Where to go ?
2. Gather Price Information ...
3. Gather Information on local food costs......
Think about setting a budget – how do you
decide this ?
Summary
• Decisions often require you to C_____E and
R__K options
• Decisions often need structured information
set out in T_____S.
• The more important the decision is the more
information we need
• How do we obtain information ?
Summary
• Decisions often require you to COMPARE and
RANK options
• Decisions often need structured information
set out in T_____S.
• The more important the decision is the M__E
information we need
• How do we obtain information ?
Summary
• Decisions often require you to COMPARE and
RANK options
• Decisions often need structured information
set out in TABLES.
• The more important the decision is the M__E
information we need
• How do we obtain information ?
Summary
• Decisions often require you to COMPARE and
RANK options
• Decisions often need structured information
set out in TABLES.
• The more important the decision is the MORE
information we need
• How do we obtain information ?
Summary
• Decisions often require you to COMPARE and
RANK options
• Decisions often need structured information
set out in TABLES.
• The more important the decision is the MORE
information we need
• How do we obtain information ? By
conducting research and calculating.