This Hanon Exercise follows no. 21 on the same principle. It is also a general exercise for fingers 3, 4 and 5.

# surface area of a triangular prism

In this math tutorial we learn how to calculate the surface area of a triangular prism, whether it is an L-shape prism or a normal triangular prism using two methods.

# hanon exercise no. 21

In Hanon Exercise no. 21 we are finally starting with the Transcendent Exercises for preparing the fingers for the Virtuoso Exercises. This is a fun and easy one to practice with the hands doing a perfect inverse of fingering.

# hanon exercise no. 20

In the last exercise of the first part of the Hanon series, we are looking at Hanon Exercise no. 20. This exercise is for stretching between the 2nd and 4th and 4th and 5th finger as well a general exercise for fingers 2, 3 and 4.

# adding/subtracting fractions involving quadratic expressions

It has been a long while since I have posted a math tutorial. Since most of my students are now slowly getting ready to do exams at the end of the year, I have noticed that they higher Grade students tend to get their rules wrong when we need to add or subtract fractions involving quadratic expressions. In this tutorial we look at what to identify and how to go about so that you do not get the least common denominator wrong.

# hanon exercise no. 18

Hanon Exercise no. 18 is an exercise for all 5 fingers.

# Satie – nocturne no.1

It is performance time. Here I play Erik Satie’s Nocturne no. 1

The Nocturnes stand apart from Satie’s piano music of the 1910s in their complete seriousness, lacking the zany titles, musical parody, and extramusical texts he typically featured in his scores of the time.

# czerny op. 599 – Exercise no. 2

Building on phrasing from Exercise 1, Exercise 2 of Czerny’s Op. 599 introduces us to some new technique and a different theme.

# czerny op. 453 – exercise no. 2

Building on Exercise 1, Czerny Exercise 2 of Op. 453 gets a bit more complex with more technical facility required.