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• 1. Learning Outcomes Calculate the duration of an event in between :monthsyearsdates2. Compute time period from situations expressed in fractions of duration.3. Solve problems in real context involving computation of time duration.
• 2. Calculate the duration of an event in between : months, yearsand datesTo calculate the duration from a given month to another month in the same year, justcount in equal steps of months. Example 1 : Adam built a house from 1st of April 2008 to 1st of July 2008. How many months did he take to build the house? Step 1 :Use a number line. 1 2 3 ________________________________________ ¼ 1/5 1/6 1/7 Step 2 : Count the month starting from the first month he started. Answer : 3 monthsTo calculate the duration from a given year to another year. Example 2: Aida stayed in Penang from January 1999 to January 2006. How many years did she stay there? Step 1: Use a number line. 1 2 3 4 5 6 7 _____________________________________________________________ 1/1999 1/2000 1/2001 1/2002 1/2003 1/2004 1/2005 1/2006 Step 2 : Count the year from the first year she stayed in Penang Answer : 7 years
• 3. To calculate the duration from a certain month to another month in a different year.Example :Calculate the duration from June 2005 to October 2007.Solution. Use a number line. 1 year 1 year 1 month 1 month 1 month 1month _____________________________________________________________ 6/2005 6/2006 6/2007 7/2007 8/2007 9/2007 10/2007 - Draw a number line - Count the number of years - Count the number of months
• 4. Compute time period from situations expressed in fractions ofduration. multiply To compute time from 1 century = 100 years -Year to months 1 decade = 10 years involves 1 year = 12 months multiplication. 1 week = 7 days -Months to year 1 day = 24 hours involves division. 1 hour = 60 minutes 1 minute = 60 seconds Divide Basic knowledge: Example 1 : 1 year = 12 1 months 1. year = ? months 6 1 6 year × 12 = 2 months 1 2. 22 years = ? months 5 2 years × 12 = 30 months Example 2: Calculate the duration from June 2005 to October 2007. Step 1: Draw a number line 1 year 1 year 1 month 1 month 1 month 1 month 6/2005 6/2006 6/2007 7/2007 8/2007 9/2007 10/2007 Step 2: Step 3: Count the number of Count the number of months years Answer : The duration is 2 years and 4 months
• 5. Solve problem in real context involving computation of timeduration. Example 1 : A course for singing lessons takes 9 days. Rina started on 27th March 2005. When did she finish the course ? h Understandin Step 1 : g the problem What do you know ? Starts : 27 March 2005 Duration : 9 days ---What do you need to find out? Ending time. Devising a plan Step 2 : Plan a strategy Add 9 days to the starting time. Carry out Step 3: the plan List the dates for the 9 days. 1. 27.3.2005 2. 28 3. 29 4. 30 5. 31 6. 1.4.2005 7. 2 8. 3 9. 4.4.2005 Answer : 4.4.2005
• 6. To find the starting time Example : Zamri finished building his house on 14.8.2008.Zamri took 3 months 10 days to build the house. When did he start building it? Solution.1. Understand the problem----Ending : 14.8.20082. Plan a strategy Ending time - duration3. Solve 3 months Use a number line. 1 2 3 1 2 3 4 5 6 7 8 9 10 _____________________________________________________________ 14/8 14/7 14/6 14/5 13/5 12/5 11/5 10/5 9/5 8/5 7/5 6/5 5/5 4/5 10 days Answer : 4.5.2008
• 7. To find the duration Example : Aida started writing a book on 21st August 2004 and finished on 8.2.2005. How long did she take to write the book ? Solution.1. Understand the problem Started : 21st August 2004 Ended : 8th February 2005 What to find : Duration 8 – 1 + 1 = 8 days2. Plan Ending time – starting time + 1 31 – 21 + 1 = 113. Solve days Use a number line. 11 days 1 month 1 month 1 month 1 month 1 month 8 days _____________________________________________________________ 21/8/04 31/8 30/9 31/10 30/11 31/12 31/1 1/2 8/2 Answer : 5 months 19 days