1. Using Logo to explore spiral patterns

2. Paul Broadbent www.broadbentmaths.com Spiral patterns This is a (1,2,3) spiral path. It repeats lines of three lengths. The turns are always 90˚ clockwise. Investigate! Explore the patterns made with different 90˚ spiral paths, made from three lengths.

3. Paul Broadbent www.broadbentmaths.com Spiral patterns What if… two of the numbers are the same? three of the numbers are the same? the order of the numbers is changed? more than three numbers are repeated? the angle is changed from 90˚? Investigate… spirals that have similar shapes spirals that have central squares the area of each rectangle or square the area enclosed by the whole shape

4. Paul Broadbent www.broadbentmaths.com Building procedures A set of instructions or a procedure can be given a name to help the computer to remember the drawing instructions for a picture, shape or pattern. Typing TO or BUILD followed by a name will allow a procedure to be built, for example: TO STAR REPEAT 5 [FORWARD 200 RIGHT 144] END Type the procedure name, STAR, to check that it works. Try using procedures to explore different spiral patterns. Use the basic commands of FORWARD, BACKWARD, RIGHT, LEFT, PEN UP, PEN DOWN, CLEAR, REPEAT and BUILD (or TO).

5. Paul Broadbent www.broadbentmaths.com Roamer will repeat a set of instructions in the same way as Logo. Press R followed by a number less than 100 to repeat a list of instructions that number of times. The list must be contained within square brackets. Press GO. Roamer can also be taught a procedure in the same way as Logo. Give the procedure a number between 1 and 99. Enter the list of instructions for the procedure within the brackets. For example here is a procedure called P5: P 5 [ ] 4 9 0 [ ] GO Press P 5 to enter into the GO program. Press GO Roamer