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Christmas Maths and Art. Aim: to understand how to create a geometrical curve using straight lines only and apply the technique to design and sew a Christmas Card. How to make a curve out of straight lines.

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Christmas maths and art

Christmas Maths and Art

Aim: to understand how to create a geometrical curve using straight lines only and apply the technique to design and sew a Christmas Card.


How to make a curve out of straight lines
How to make a curve out of straight lines

  • Using the ruler and pencil, draw a set of axes on a piece of scrap paper, mark every 1cm in both directions as shown below:


Connect the highest dot on the y axis to the first dot on the x axis then continue to join as shown
Connect the highest dot on the y-axis to the first dot on the x-axis. Then continue to join as shown:



Christmas designs
Christmas Designs

Design for Christmas Tree

Measure and draw a 13cm vertical line, mark every 1cm.

5cm from top draw a horizontal line 2.5cm either side of the vertical. Mark every 0.5cm.

9cm from top draw a horizontal line 3.75cm either side of vertical. Mark every 0.75cm.

At bottom of the vertical line draw a horizontal line 5cm on both sides. Mark every 1cm.




Christmas designs1
Christmas Designs

Design for Christmas Star

Measure and draw a 14cm vertical line, mark every 1cm.

In the centre (7cm from top) draw a horizontal line 5.25cm either side of vertical. Mark every 0.75cm.




Christmas cards
Christmas Cards

  • Prepare your card by drawing out your design axes in pencil and poking a hole at every mark.

  • Thread needle and sew the lines instead of drawing them. (For guidance on sewing techniques see http://nrich.maths.org/5366 )

  • Add your festive message and give to family or friends.


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