1. CHRISTMAS TREE INVESTIGATION

2. YOUR CHALLENGE IS TO INVESTIGATE THE NUMBER OF RED LIGHTS THE NUMBER OF WHITE LIGHTS AND THE TOTAL NUMBER OF LIGHTS ON CHRISTMAS TREES OF DIFFERENT HEIGHTS

3. Height 1 m Height 2 m Height 3 m

4. Height 1 m Height 2 m Height 3 m Height (h) Number of Red Lights (r) Number of White Lights (w) Total Number of Lights (t) 1303 2 3 4 5 25 h 1.Draw the next tree in the sequence, showing the coloured lights. 2.Fill in the first 4rows of the table. 3.Use your drawing to fill in the fifth row. 4.Use the patterns in the table to predict the number of lights on a tree 25m tall. (the height of the tree in Trafalgar Square this year) 5.Can you use algebra to fill in the last row. 6.Make sure each of your formulas works by substituting in a value for h that you already know the answer for.

5. Height 1 m Height 2 m Height 3 m Height (h) Number of Red Lights (r) Number of White Lights (w) Total Number of Lights (t) 1303 2 3 4 5 25 h Height 4 m 325 347 369 3811 34813 32h -22h +1