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Broadbent Maths - creative primary maths

Pi day March 14th - take a look at circles

Monday, 6 March 2017
Pi day can be a whole school event, with KS1 children finding circles and KS2 children discovering a simple Pi pattern through measuring, using multiplication and division facts for x3 and rounding to the nearest whole number. Other Pi based activities include rounding decimals, looking at the format that dates are written around the world and, of course, it could include eating pies!
Pi Day has been celebrated in the USA on March 14th for nearly 30 years.

Of course the date is a little more significant in the US than here in the UK, as they write their digital dates as month/day/year. So March the 14th is 3/14 or 3.14 → Pi, rounded to two decimal places. 

March 14th is also Einstein's birthday, so it is worth following the US date format on this occasion - any excuse to have a special Maths Day.

Pi, also written using the Greek letter π, is a constant rather than a real number (it is actually an irrational number) and is the ratio between the circumference of a circle and it's diameter. It is a great ratio to explore practically.


Pi circles

Discover Pi in a primary maths lesson


Measure the circumference of some circles in centimetres on everyday cylinders, use string or ribbon tied around real objects such as a mug, tin cans, glue sticks, sticky tape rolls, cylinders from 3D shape sets.

Measure across the diameter of the circle end of these same cylinders.
 
Ask children to measure in whole centimetres. Talk about rounding, when to round up and when to round down to the nearest whole number. If you measure large objects such as waste bins or bowls round to the nearest 10 centimetres.

Draw a blank table and then record their results.

What do they notice about the circumference and diameter of each circle?

Maths Vocabulary

Circle ⇒ a shape with every point at its edge at exactly the same distance from the centre.

Circumference ⇒ the length of the edge of a circle.

Diameter ⇒ a line that passes from one side of a circle through the centre to the other side. The diameter cuts the circle in half.

Pi ⇒  written as π. If the circumference of a circle is divided by it's diameter the answer is always equal to  pi, just over 3.  It is approximately 3.14, but this is rounded to the nearest 2 decimal places. 

measured in centimetres (cms)
Pi chart
'A-Z of Maths vocabulary -a teachers survival guide'  
My dictionary published last year.
Teachers tips prompt children that are stuck with these suggestions:

• Write the results in order starting with the smallest circle.

• Use the string for each circumference and cut into lengths the same as the diameter. How many lengths are there?  Is this the same for all the circles?

Pi Fun  - take your pi-ck from these pi-eces 

Super Pi Day - 2016 or 2017?

For Pi the digits after the decimal point go on forever, so any Pi number is rounded. To seven decimal places Pi is 3.1415926

In 2015 some people celebrated Super Pi Day as the US date written with the year was 3/14/15 so 3.1415

However, some people like Vi Hart (this clip is more for you, but also maybe for Y6 children) felt this was not right. If a number stopped at 4 decimal places, you would round up - the 5th decimal place is a 9. So it would be 3.1416 which means Super Pi Day should have been in 2016:  3/14/16.  Your class can debate which year they think is the correct Super Pi date: 2015 or 2106?

There is also a Super Pi moment  3/14 1:59 - of course this brings in how we write the time, officially 1:59 would be in the middle of the night, but perhaps 1.59pm is ok to celebrate in your classroom. 
Pi day -  14th March 2017 - writing digital dates

Here in the UK digital dates are day/month/year          14/03/17

In the USA they write it as month/date/year      03/14/17

In China it is written as year/month/date           17/03/14

This could cause confusion in our global world!

Ask you class to write their birthday this year and their date of birth in each of the 3 different formats.
Tiny pi activities

• Round pi to the nearest 1, 2, 3, 4, 5 and 6 decimal places. 

• Which circular foods have pi-names? 
Pi-zza, slices of pi-neapple and don't forget pi-e of course!


Don't forget 14th March is Albert Einstein's birthday.

He even had a good quote that included a circle:

"Our task must be to free ourselves by widening our circle of compassion to embrace all living creatures and the whole of nature and its beauty." 


“A human being is a part of the whole called by us universe, a part limited in time and space. He experiences himself, his thoughts and feeling as something separated from the rest, a kind of optical delusion of his consciousness. This delusion is a kind of prison for us, restricting us to our personal desires and to affection for a few persons nearest to us. Our task must be to free ourselves from this prison by widening our circle of compassion to embrace all living creatures and the whole of nature in its beauty.”
... and don't forget pies!!   

It is actually British Pie Week in the week before Pi Day, with the British Pie Awards on 8th March. I'm not sure if Pie makers will be aware of Pi Day, but I see no reason not to connect them!

Make real pies in circle shapes if you get a chance to do some cooking (just so many obvious maths skills used) or make playdough pies from rolling balls or spheres of clay and then using a rolling pin to change them to circles (more accurately cylinders, with 2 circle faces). 



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