Saturday 26 September 2015

Rounding Numbers Using place Value




After examining our central idea and lines of equiry, we did a quick 10 minute pre-assessment to find out what we already know about the lines of enquiry. 

We shared our understandings as a whole class discussion with more of  a focus on ways we use the rounding strategy in our daily lives so that we all gained a sense of the reason we should enquire into the strategy. 

Once children know there is a practical purpose to learning something in maths, their engagement increases a lot. 



Some samples:





Based upon some of the ideas some had of how we use the rounding strategy in our daily lives, I created a google doc activity that showed different ways we use rounding. To help connect, I used student names and everything based from Lausanne. 


The Google doc questions:

Connection:  Ways we can use the rounding strategy in our
daily lives.


             Neha kept a log of how much reading she did at home each night.

                                          

             She wanted to find out whether she read more in week 1 or week 2.

             Use the rounding strategy to find out.

   Week 1
Rounded to the nearest 10
Sun -  37 min
             min
Mon - 42 min
             min
Tue -  57 min
             min
Wed - 31 min
             min
Thur - 45 min
             min
Fri -    26 min
             min
Sat -   35 min
             min

                                Total estimated reading time in week 1: _____
                                      (Add the estimates on scrap paper)

   Week 2
Rounded to the nearest 10
Sun -  36 min
             min
Mon - 29 min
             min
Tue -  45 min
             min
Wed - 42 min
             min
Thur - 38 min
             min
Fri -    54 min
             min
Sat -   46 min
             min

                                Total estimated reading time in week 2: _____
                                     (Add the estimates on scrap paper)

                        Had Neha read more in week 1 or week 2? = _____

______________________________________________________________

                              Carl owned a free-range egg farm.

                              Free-range chickens do NOT live in cages so they are
                              much better to buy!!!!

                            

He wanted to find out whether his chickens laid eggs more in summer months or winter months.

Use the rounding strategy to find out.

                   
Month
Exact Number of Eggs Laid
Rounded to nearest 100
December
 1 789

January
  2 540

February
  2 098


                       Total estimated number of eggs laid in winter: _______
                               (Add the estimates on scrap paper)

Month
Exact Number of Eggs Laid
Rounded to nearest 100
June
 1 450

July
  2 320

August
  2 345


                Total estimated number of eggs laid in summer: _______
                          (Add the estimates on scrap paper)

    Did his chickens lay more eggs in winter or summer months? = _______

______________________________________________________________

                     Look at the populations of these European countries in 2015.

                     Round the populations to the nearest million.

Country
Population   (2015)
Rounded to nearest million
Switzerland
    8 265 000

Germany
  81 276 000

United Kingdom
  65 081 276

Spain
  46 355 000

Denmark
    5 673 000

Austria
    8 608 000


______________________________________________________________

               Approximately how far is it from Lausanne to………….?

               Use the rounding strategy.

From Lausanne to…...
Exact Distance
Approximate Distance
(Round to nearest 100)
Paris



       518.1 km

Munich




       841. 8 km

Barcelona



     1 035.6 km

Copenhagen



     1 231 . 6 km


______________________________________________________________

         Lewis is at Migros and wants to buy 4 Toblerones.

      

     One Toblerone costs 2.46 CHF.

     Approximately, how much money does Lewis need to buy them?

    = _____

______________________________________________________________

        Round these flights times to the nearest hour.

        Eg,    23 hr 30 min  =    20 hours

Flight from Geneva to…...
Exact Flight Time
Approximate Flight Time
(Rounded to nearest hour)
Tokyo
   



        13 hr 40 min

    (not including stop-overs)

Sydney
   



         21 hr 20 min

    (not including stop-overs)

New Delhi
    



       9 hr 10 min

   (not including stop-overs)

Atlanta
    

       9 hr 44 min

   (not including stop-overs)


    

Round these prices to the nearest whole franc

Eg,    14 . 55 CHF  =  15 CHF


CHF 26 . 45

Rounded to:

CHF 86 . 70

Rounded to:

CHF 6 . 50

Rounded to:

CHF 124 . 50

Rounded to:


CHF 16. 50

Rounded to:


  CHF 164. 70

Rounded to:


As we do our enquiries, the children are encouraged to record what they have learnt during their learning time.  Sometimes, if they are too absorbed in the activities, I give them 5 or 10 minutes at the end to reflect.  We regularly discuss the importance of reflecting and how it helps to deepen our understanding.
A beginning example:



This is the feedback they will receive at the end of their enquiries using PYP Learner Profile attributes & attitudes:


__________________________________________________________________________

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