Instructions SENIOR VCAL NUMERACY INVESTIGATION 2013 SENIOR VCAL NUMERACY INVESTIGATION Only A Little Bit Over Name: This investigation is split into 3 Sections (A, B & C). You must ensure the following points are adhered to at all times. 1. ALL parts MUST be completed and ALL questions contained within. 2. Show all setting and working out clearly i.e. formula must be written out & all steps taken to get to final answer. 3. Microsoft excel should be used with formulae when indicated. Do not just type in answers. Each table MUST be shown to the teacher before progressing to the next question. 4. Summaries & overall conclusion MUST be completed. Assessment: You will be assessed in the following ways: Observation of use of equipment & problem solving Discussion with teacher regarding concepts & processes you are using Outcomes & criteria covered will be checked Overall letter grade for each Part of the investigation Presentation 1
ONLY A LITTLE BIT OVER Beer, wine and spirits are consumed around the world to celebrate many occasions. Champagne is often used for toasts at a 21 st birthday or wedding; wine is often served with dinner at restaurants, and for many people a beer in the pub is a sure sign the working week has ended. In recent years there has been an effort to make people think about how much they drink and what they do afterwards. Alcohol has been recognised as being a major contributor to road and other accidents and too many public health problems. This investigation explores the amount of ethanol in commercially sold drinks and some of the effects that it has on the human body. Braking and stopping distances under certain situations are also explored. What s my poison? Complete the Quiz on the next page What s my poison? See what you already know!! Or don t!! What is a standard drink? The ingredient in alcoholic drinks that makes them alcoholic is called ethanol. A standard drink contains approximately 10 grams of ethanol. When most people say alcohol they mean ethanol. In this investigation we will use the word alcohol in this way. There are five different types of alcoholic beverages sold commercially. These are spirits, fortified wines, wines, regular beer and low alcohol beer. The amount of ethanol in each of these types of drink is different, so the volume of a standard drink varies depending on what is ordered. 1 standard drink = 10 grams of ethanol = 12.5 ml of ethanol Serving sizes Rules of thumb Light beer 2.8% - 3.5% ethanol can 375 ml Regular beer 4.5% - 5.9% ethanol pot 285 ml Wine 9% - 15% ethanol glass 100 ml Fortified wine 18% - 22% ethanol port / sherry glass 60 ml Spirits 38% - 50% ethanol nip / shot glass 30 ml 2
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Standard drinks and containers Volumes of standard drinks and containers To be a responsible drinker, you need to keep track of the amount of alcohol you ve had and the time you ve been drinking. To be able to do this you need to understand standard drinks. Work through the following set of activities, recording the information as needed to develop a better and safer understanding of alcohol. Part 1: Alcohol Volume 1. Complete the last column of the following table using the formula below to calculate the volume of alcohol per drink. Volume of alcohol = standard drink volume alcohol percentage per drink (ml) 100 Note: there are two concentrations for spirits. Some wines and beers have greater or less percentages than those quoted here. Type of drink Name for standard drink size Volume of a standard drink Percentage of alcohol Spirits (100 proof) Nip 30 ml 50 Spirits (80 proof) Nip 30 ml 40 Fortified wine 60 ml 18 Wine Glass 100 ml 12 Regular beer Pot 285 ml 4.9 Light beer Can / Stubby 375 ml 3.3 Volume of alcohol / drink Part 2: Spirits Spirits (whisky, vodka, gin, etc) are measured in nips. One nip is 30 ml. Spirits are consumed in a variety of containers which you will now investigate. 2. Into a plastic cup pour what you think is 30 ml of water and mark the level on the outside of the cup. Now pour the water into the measuring cup and write down the actual volume. How accurate were you at pouring a nip? Shot glasses 3. Using the most appropriate formula, calculate the volume of the shot glass. 4. Measure the volume of the shot glass. 5. Is the volume more than the standard 30ml drink? If yes, how much extra? 6. What are the possible implications of 30ml of spirits not completely filling the shot glass? 4
Round tumblers 7. Using the most appropriate formula, calculate the volume of the round tumbler. 8. Fill the tumbler with water and then pour the water into a beaker to find its volume. Is it more or less than you calculated? Octagonal tumblers 9. Using the most appropriate formula, calculate the volume of the octagonal tumbler. 10. Fill the tumbler with water and then pour the water into a beaker to find its volume. Is it more or less than you calculated? 11. Explain why / why not your results differed for each glass between the two methods. Part 3: Fortified wines 12. Fortified wine is served in glasses measuring about 60mL. Into a plastic cup pour what you think is 60mL of water. Mark the level. Now pour the water into a beaker and write down the actual volume. 13. Is it important for the measure to be accurate when serving alcohol? Explain why / why not? 14. Using the most appropriate formula, calculate the volume of the round tumbler. 15. Fill the tumbler with water and then pour the water into a beaker to find its volume. Is it more or less than you calculated? 16. Calculate the number of standard drinks a port glass contains when completely full. Part 4: Wines Wine is served in glasses measuring about 100mL. Again there are a variety of shapes & sizes of glasses used. NB: Questions 17, 19 21 are to be placed in table below. 17. Into each glass pour what you think is 100mL of water. Now pour the water into a beaker and write down the actual volume. How accurate where you in each case? 18. How does this method of serving wine affect customers? What would be a better method for licensed venues? Do you think they would use it? Explain. 19. Fill each glass with water and measure the total volume of each glass. 20. For each glass, calculate what percentage 100ml of wine is of the entire glass. 21. Calculate the number of standard drinks each wine glass contains when completely full. 17. Estimated Volume (100ml) = Red wine White wine / champagne Estimated Volume (100ml) = 19. Total Volume = Total Volume = 20. Percentage = Percentage = 21. Standard drinks = Standard drinks = 5
Part 5: Cocktails SENIOR VCAL NUMERACY INVESTIGATION 2013 22. Using the most appropriate formula, calculate the volume of the cocktail glass. 23. Fill the glass with water and then pour the water into a beaker to find its volume. Is it more or less than you calculated? 24. How many standard drinks fit in the cocktail glass? Explain how you calculated this. 25. What problems can you see with people mixing cocktails themselves? Part 6: Low alcohol beers 26. Using the appropriate formulae, calculate the volume of the can. 27. How did this compare to the volume listed on the can? Explain any differences. 28. What volume / amount of alcohol would be in a glass of low alcohol beer? Part 7: Large Containers 29. Write down a general formula that could be used to calculate the number of standard drinks in a container e.g. C = 2πr. 30. Use your formula to work out the number of standard drinks contained within each of the containers listed in the table below. 100 proof spirits 80 proof spirits Fortified wine Wine Regular beer Light beer 750 ml bottle 2 litre cask 4 litre cask 375 ml bottle Magnum 1.5 litres SUMMARY v Summarise in point form what you discovered in relation to standard drinks. v What was the most surprising piece of information that you discovered? Explain why. v What was the hardest calculation/s that you had to obtain? 6
SENIOR VCAL NUMERACY INVESTIGATION 2013 EXTENSION CRASH STATISTICS 7
Use the TAC website listed below to find out more information on crash statistics over the last five years. Write a short report including relevant statistics and graphs. TAC SAFETY WEBSITE: www.tacsafety.com.au/jsp/statistics/reportingtool.do?areaid=12&tierid=1&navid=20&globalnavid=20 8