2. Mathematics and Music - Jacky Hoare HMP Gartree Mathematics and Music - Jacky Hoare HMP Gartree Motivation to learn – music touches almost everyone on an emotional level A chance to use our mathematics in a creative way

3. Pythagoras noted: There is geometry in the humming of the strings... there is music in the spacing of the spheres.

4. Musical note values

5. Some examples

6. The definitive website www.philtulga.com

7. Activity Matching Rhythms Tap out the rhythms supplied. Write your own 2-bar rhythm. keeping to the time signature and get your partner to tap it out. Write out the rhythm to a well known tune and see whether others can guess the tune. Using bars of music supplied match each bar to the correct time signature

8. Other possible activities Other possible activities Students create their own 2 bar rhythms and record their efforts Challenge others to write down a rhythm (tapped or clapped)

10. Further work Use of rests and dotted notes will extend the complexity and range of fractions Given a set of ‘musical fractions’, arrange into a creative rhythm Ask the group to try to write down the rhythm to a popular hit song

11. The Water Bottle Xylophone

12. The Scale of C Major

13. Activity: Write your own counterpoint 1. Write the melody backwards and play it with the original melody. 2. Write the melody upside-down and play it with the original. Choose C or G as your starting note, and whenever the melody goes up make your part go down the same distance, and vice versa. 3. Play the melody as a round. 4. Write the melody twice as fast-use eighth notes wherever there are quarters and quarters wherever there are halves.

14. Over to you……….. Do you think you could adapt/extend any of these ideas to suit your own learners? Additionally, there are rich links between harmonics, science, maths and music that are fully exploited by Phil Tulga

16. Increasing autonomy and confidence This activity uses a selection of NRich problems Choose a problem Work in small groups to investigate Make a poster to display your work Nominate someone in your group to describe your thinking

17. Evaluation How did you feel? How might your students feel? Is being stuck OK? How long is OK? Would time be an issue? Engagement issues? How would you assess learning?