Install python 3.6 on your RPi!

python-3.6-pi.sh

sudo apt-get update
sudo apt-get install build-essential tk-dev libncurses5-dev libncursesw5-dev libreadline6-dev libdb5.3-dev libgdbm-dev libsqlite3-dev libssl-dev libbz2-dev libexpat1-dev liblzma-dev zlib1g-dev -y
wget https://www.python.org/ftp/python/3.6.0/Python-3.6.0.tar.xz
tar xf Python-3.6.0.tar.xz
cd Python-3.6.0
./configure
make
sudo make altinstall

echo "Do you wish to delete the source code and uninstall all previously installed packages? {Y/N} (Case sensitive!)"
read ans
if [ans = "Y"] 
then
sudo rm -r Python-3.6.0
rm Python-3.6.0.tgz
sudo apt-get --purge remove build-essential tk-dev
sudo apt-get --purge remove libncurses5-dev libncursesw5-dev libreadline6-dev
sudo apt-get --purge remove libdb5.3-dev libgdbm-dev libsqlite3-dev libssl-dev
sudo apt-get --purge remove libbz2-dev libexpat1-dev liblzma-dev zlib1g-dev
sudo apt-get autoremove
sudo apt-get clean
else
echo "Done!"
fi

After running this (I answered no to the prompt but it shouldn't matter, I just wanted to keep some of the stuff in there)
I did:

sudo apt-get --purge remove python3.4
sudo apt-get --purge remove python3
ln /usr/bin/python3 /usr/local/bin/python3.6

Then after these are finished, you can check that it get the right version with:

python3 -V

Then pip needs to be updated with:

sudo python3 -m pip install --upgrade pip setuptools wheel

Then I went and installed Jupyter with the new pip install, currently crossing my fingers hoping it works as I'm writing this

You could add the replacement step as an optional step then update pip with /usr/local/bin/python3.6 -m pip .... Also would remove build-essential but idk that's up to you

Great job!