## Friday, 25 September 2015

### Rounding Numbers Enquiry

We started off our enquiry into rounding by unpacking our central idea (below) and discussing what we would need to find out to understand it.  Some great and diverse ideas emerged and eventually we decided upon the following two lines of enquiry to investigate (below):

The next day, 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.

Looking at the pre-assessments gave me a clear picture of how to group the children by finding out what they already understood.

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, Switzerland where we are.

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? = _____

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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? = _______

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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

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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

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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?

= _____

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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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