Mathematical Investigation Paper Size - NIE Mathematics ：数学研究的纸张尺寸-聂数学.doc

Mathematical Investigation: Paper Size
The purpose of this worksheet is to investigate the relationship between A1 paper, A2 paper, A3 paper, A4 paper, etc.
Given a sheet of A3 paper (white) and a sheet of A4 paper (blue), try to figure out and write down any two relationships between them.
Measure the length and width of the A3 and A4 papers and record your observations in the relevant portion of the table below. Calculate and record the ratio “length / width” for these paper sizes, correct to 4 significant figures (.).
Paper
Length / cm
Width / cm
Length / Width
1.
A1
2.
A2
3.
A3
4.
A4
5.
A5
6.
A6
7.
A7
8.
A8
9.
A9
10.
A10
Given another sheet of A4 paper (green), fold it into two equal halves along the dotted line as shown below. Cut along the dotted line. Each half is called an A5 paper. Measure the length and width of the A5 paper and calculate the ratio “length / width”, correct to 4 . Record your observations in the above table.
Given another sheet of A5 paper (yellow), fold it into two equal halves along the dotted line as shown above. Cut along the dotted line. Each half is called an A6 paper. Repeat the same measurements, calculation and recording.
Given another sheet of paper of A6 paper (pink), cut out an A7 paper and repeat the same measurements, calculation and recording.
Arrange the A4, A5, A6 and A7 papers on the A3 paper acco