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1.1A Numeric Reasoning

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1.1A Numeric Reasoning. Read and highlight. Mike and Huia are planning to travel to England for a holiday. They plan to be in England for 3 months, and during that time take a 3 week bus tour through France and Spain. Read and highlight. - PowerPoint PPT Presentation
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1.1A Numeric Reasoning
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Page 1: 1.1A Numeric Reasoning

1.1A Numeric Reasoning

Page 2: 1.1A Numeric Reasoning

Read and highlight

• Mike and Huia are planning to travel to England for a holiday. They plan to be in England for 3 months, and during that time take a 3 week bus tour through France and Spain.

Page 3: 1.1A Numeric Reasoning

Read and highlight

• Mike and Huia are planning to travel to England for a holiday. They plan to be in England for 3 months, and during that time take a 3 week bus tour through France and Spain.

Page 4: 1.1A Numeric Reasoning

• This assessment activity requires you to calculate the amount of money they will need to save for their trip, and how long it will take for them to save it.

Page 5: 1.1A Numeric Reasoning

• This assessment activity requires you to calculate the amount of money they will need to save for their trip, and how long it will take for them to save it.

Page 6: 1.1A Numeric Reasoning

• Use the following information to find out how much money they will need to save, and how long it will take them to save this amount.

Page 7: 1.1A Numeric Reasoning

• In the solution of this problem you should:• Show calculations, as appropriate, that you

have used in the solution of the problem;• Use mathematical statements;• Explain what you are calculating at each stage

of the solution.

Page 8: 1.1A Numeric Reasoning

• The quality of your discussion and reasoning and how well you link this to the context will determine the overall grade.

Page 9: 1.1A Numeric Reasoning

Do the expenses first

Page 10: 1.1A Numeric Reasoning

• They estimate for each day they are in England, between them they will need on average NZ$240 (to the nearest $20) when they are not on the bus trip.

Page 11: 1.1A Numeric Reasoning

Number of days

• They estimate for each day they are in England, between them they will need on average NZ$240 (to the nearest $20) when they are not on the bus trip.

• 3 months estimate 92 days• Minus bus trip (21 days)• Total number of days = 71• Cost = 240 x 71 = $17,040

Page 12: 1.1A Numeric Reasoning

• The cost for the return air tickets is $2500, plus GST (15%), each.

Page 13: 1.1A Numeric Reasoning

• The cost for the return air tickets is $2500, plus GST (15%), each.

Page 14: 1.1A Numeric Reasoning

• The 3 week bus trip costs 2000 Great Britain pounds per person.

• Great Britain pounds are used as currency in England.

• The Exchange rate is: 1 NZ Dollar = 0.4931 GB Pound (January 2011).

Page 15: 1.1A Numeric Reasoning

• The 3 week bus trip costs 2000 Great Britain pounds per person.

• Great Britain pounds are used as currency in England.

• The Exchange rate is: 1 NZ Dollar = 0.4931 GB Pound (January 2011).

Page 16: 1.1A Numeric Reasoning

Total Cost

• This figure should be rounded sensibly

Page 17: 1.1A Numeric Reasoning

Now work on ‘how long’

• Huia earns $850 each week. Mike earns $790 each week. Huia is able to save 2/5 of her income, and Mike 35% of his income to put towards their saving for the trip.

Page 18: 1.1A Numeric Reasoning

Savings per week

• Huia earns $850 each week. Mike earns $790 each week. Huia is able to save 2/5 of her income, and Mike 35% of his income to put towards their saving for the trip.

Make a comment that some weeks they may be able to save more than this and other weeks less than this.

Page 19: 1.1A Numeric Reasoning

Estimate of the number of weeks to save for the trip

• Rough calculation:

Page 20: 1.1A Numeric Reasoning

Conclusion

• It will take over a year to save for this trip as they will need money for insurance and spending money as well.

Page 21: 1.1A Numeric Reasoning

Points to think about and discuss

• Rounding sensibly - to the nearest $20• Additional spending on the bus trip• Variation in the exchange rate• The variation in the number of days in three

months• The fairness of them contributing different

amounts to the saving for the trip

Page 22: 1.1A Numeric Reasoning

• The interpretation of this question is ‘open’. Students may provide a solution that involves Huia and Mike saving for their holiday separately.

• Huia saves $340• Mike saves $276.50• It will take Mike longer if they are covering

their own costs:


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