Time Currency And Conversions
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선생님을 위해: Time Currency And Conversions(Maths [CIE], Extended)을(를) 위한 바로 쓸 수 있는 수업 슬라이드, 복습 노트 — 수업에 사용하거나, 학생들이 실시간 게임으로 즐기는 인터랙티브 클래스 활동으로 진행하세요.
수업 노트
Time Conversions
- Time uses non-decimal units: 60 seconds = 1 minute, 60 minutes = 1 hour, 24 hours = 1 day.
- Know days in each month: e.g., 28/29 Feb, 30 Apr/Jun/Sep/Nov, 31 Jan/Mar/May/Jul/Aug/Oct/Dec.
- To convert hours to minutes, multiply by 60; minutes to hours, divide by 60.
- When calculating time intervals, work in chunks: minutes to next hour, then whole hours, then remaining minutes.
- For journeys crossing midnight, add hours from start to midnight plus hours from midnight to end.
12-Hour and 24-Hour Clocks
- 12-hour clock uses AM (midnight to midday) and PM (midday to midnight).
- 24-hour clock uses four digits: first two for hours (00-23), last two for minutes (00-59).
- Convert 12-hour to 24-hour: for PM (except 12pm) add 12; for AM 12am = 00:00.
- Convert 24-hour to 12-hour: subtract 12 from hours 13-23 and add PM; 00:00 = 12am, 12:00 = 12pm.
- Analogue clock: short hand = hours, long hand = minutes (each number = 5 minutes).
Reading time from an analogue clock
Calculating with Time
- Add time in chunks: add hours first, then minutes, adjusting if minutes exceed 60.
- Subtract time by counting minutes to next hour, then hours, then remaining minutes.
- For journeys starting and ending on same day, simply subtract start from end times.
- For overnight journeys, calculate time from start to midnight plus time from midnight to end.
- Use a calculator's ° ' '' button to enter time; 1 hour 30 min = 1.5 decimal hours.
Bus and Train Timetables
- Timetables usually use 24-hour clock without colon (e.g., 0750 for 07:50).
- Each column represents one service; times are departure times except last row (arrival).
- Journey time = difference between departure at start and departure/arrival at end for same service.
- Read across the row for a given service to find times at different stops.
Bus timetable
Time Zones
- Time zones differ by hours; some locations are ahead, others behind a reference (e.g., GMT).
- To convert to a time zone behind, subtract the time difference; to one ahead, add.
- When calculating flight times, work in departure local time then adjust to arrival local time.
- Example: Madrid is 7 hours ahead of Chicago; a 9h45m flight from Madrid at 7:30am arrives Chicago at 10:15am local.
Money Calculations
- Common currencies: US Dollar ($), Pound (£), Euro (€).
- Keywords: 'total' means add, 'difference' means subtract, 'change' may involve exchange rates.
- Round final answers to 2 decimal places for dollars, pounds, euros (e.g., $1.40 not $1.4).
- For large amounts, round to nearest pound, ten pounds, or hundred as appropriate.
- Use all decimal places given in working; round only final answer.
Exchange Rates
- Exchange rate shows value of one currency in another (e.g., £1 = €1.17).
- To convert from base currency to other, multiply by the exchange rate.
- To convert from other currency to base, divide by the exchange rate.
- If unsure whether to multiply or divide, check if result should be larger or smaller than original.
- When converting via a third currency, convert to intermediate then to target.
Comparing Costs Across Currencies
- Convert all prices to same currency using given exchange rates.
- Compare converted values to determine which is cheaper or better value.
- For best value, calculate cost per unit (e.g., per litre, per kg) in a common currency.
- Round final comparison appropriately (e.g., nearest cent, nearest rupee).
슬라이드
연습 문제
무료 미리 보기 — 60개 중 8개 문제. 가입하면 전부 볼 수 있어요.
1.Aimee changes 250 euros into dollars. The exchange rate is 1 euro = $1.10. How many dollars does she receive?
Easy- A$275
- B$227.27
- C$260
- D$250
2.A train journey takes 5 hours 54 minutes. The journey starts at 09 15. What time does the journey end?
Easy- A15 09
- B14 09
- C15 19
- D14 19
3.A train leaves Zurich at 22 40 and arrives in Vienna at 07 32 the next day. How long does the journey take?
Medium- A8 h 52 min
- B9 h 08 min
- C8 h 48 min
- D9 h 52 min
4.Jodi swims 22 lengths of a swimming pool to raise money for charity. She receives $15 for each length she swims. How much money does Jodi raise?
Easy- A$330
- B$37
- C$3300
- D$220
5.Carlos starts work at 21 20 and finishes at 06 15 the next day. How long is Carlos at work?
Medium- A8 h 55 min
- B9 h 05 min
- C8 h 45 min
- D9 h 55 min
6.Linda wants to change up to £200 into koruna. The exchange rate is £1 = 25.82 koruna. She can only get 100 koruna notes and wants as many as possible. How many 100 koruna notes should she get?
Medium- A51
- B52
- C50
- D53
7.One morning, Marcia works from 08 20 to 11 15. How long does she work for? Give your answer in hours and minutes.
Easy- A2 h 55 min
- B3 h 05 min
- C2 h 45 min
- D3 h 15 min
8.Convert 0.17 m² into cm².
Easy- A1700 cm²
- B17 cm²
- C170 cm²
- D0.0017 cm²
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