*As part of our dome project we have been learning about pi - watch the following at the Wonderopolis*
Finding Pi Yourself

Draw a circle, or use something circular like a plate.

Measure around the edge (the

**circumference**):I got

**82 cm**

Measure across the circle (the

**diameter**):I got

**26 cm**

Divide:

82 cm / 26 cm = 3.1538...

That is pretty close to π. Maybe if I measured more accurately?

## Digits

In fact π is approximately equal to:

**3.14159265358979323846…**

The digits go on and on with no pattern. π has been calculated to over two quadrillion decimal places and still there is

**no pattern**to the digits## Approximation

A quick and easy approximation for π is 22/7

22/7 =

**3.1428571...**
But as you can see, 22/7 is

**not exactly right**. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number.
A better approximation (but still not exact) is:

355/113 =

**3.1415929...***(think "113355", then divide the "355" by the "113")*## Remembering The Digits

I usually just remember "3.14159", but you can also count the letters of:

*"May I have a large container of butter today"*

3 1 4 1 5 9 2 6 5

3 1 4 1 5 9 2 6 5

## To 100 Decimal Places

Here is π with the first 100 decimal places:

3.14159265358979323846264338327950288 4197169399375105820974944592307816 4062862089986280348253421170679... |

### Calculating Pi Yourself

There are many special methods used to calculate π and here is one you can try yourself: it is called the**Nilakantha series**(after an Indian mathematician who lived in the years 1444–1544).

It goes on for ever and has this pattern:

3 + 42×3×4 − 44×5×6 + 46×7×8 − 48×9×10 + ...

(Notice the + and − pattern, and also the pattern of numbers below the lines.)It gives these results:

Term | Result (to 12 decimals) |
---|---|

1 | 3 |

2 | 3.166666666667 |

3 | 3.133333333333 |

4 | 3.145238095238 |

... | ... etc! ... |

### Pi Day

Pi Day is celebrated on March 14. March is the 3rd month, so it looks like 3/14

**Place Value - Parody Shake it Off**

**Adding Fractions**

**Follow these steps**

**Subtracting Fractions**

**Multiplying Fractions**

*Ratios*

**Proportions**

**Fractions, percentages and ratios and proportions in everyday use - watch the videos and then choose a level.**

*Addition of Decimals*

*Calculating Percentages*

**Follow these steps**

*What are percentages? and Finding a percent of a number.*

*Algebra Manipulatives*

*Maths Learning in Hoiho Class - Sharing the knowledge.*

*Percentage Game**Have some fun using percentages, decimals and fractions when you plan a park. Follow the instructions at the following link.*

*Factorising*

*Order of Operations*

*Algebra*

*Introduction*

*Measurement*

*Converting Units*

**Division**

**Follow these steps and work your way through the questions**

**Length - We are learning to**- describe a method to measure the length of circular objects
- measure length using metres, centimeters and millimeters
- calculate the circumference of a circle from a measurement of diameter

**Our focus this week is to**use thermometers to measure temperature in degrees Celsius and investigate factors that influence temperatures*Visit the following links this week to help you understand our learning outcomes*

**Negative Numbers**

**click on the link and play the game**

**Mathletics is now working. Please select Integers or Decimals if this is your groups learning focus.**

**Watch these you tube clips on integers (negative numbers)**

**Check out this catchy song to help you understand place value and decimals.**

I LOVE MATH!!!!!!!

ReplyDeleteMath is fun but also frustrating!!!

ReplyDeleteFinally Fractions!

ReplyDelete