1. 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.

2. 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:

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

4. Finished curve…

5. 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.

6. Christmas Tree

8. 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.

9. Christmas Star

11. 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 ) http://nrich.maths.org/5366 Add your festive message and give to family or friends.