You need to use the new Toolbar in the appcompat v21 and the new ActionBarDrawerToggle that is in this library as well.
Add the gradle dependency to your gradle file: 
compile 'com.android.support:appcompat-v7:21.0.0'
Your activity_main.xml layout would look something like that:
<!--I use android:fitsSystemWindows because I am changing the color of the statusbar as well-->
<LinearLayout
    xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:tools="http://schemas.android.com/tools"
    android:id="@+id/main_parent_view"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:orientation="vertical"
    android:fitsSystemWindows="true">
    <include layout="@layout/toolbar"/>
    <android.support.v4.widget.DrawerLayout
        android:id="@+id/drawer_layout"
        android:layout_width="match_parent"
        android:layout_height="match_parent">
        <!-- Main layout -->
        <FrameLayout
            android:id="@+id/main_fragment_container"
            android:layout_width="match_parent"
            android:layout_height="match_parent" />
        <!-- Nav drawer -->
        <fragment
            android:id="@+id/fragment_drawer"
            android:name="com.example.packagename.DrawerFragment"
            android:layout_width="@dimen/drawer_width"
            android:layout_height="match_parent"
            android:layout_gravity="left|start" />
    </android.support.v4.widget.DrawerLayout>
</LinearLayout>
Your Toolbar layout would look something like that:
<?xml version="1.0" encoding="utf-8"?>
<android.support.v7.widget.Toolbar 
    xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    android:id="@+id/toolbar"
    app:theme="@style/ThemeOverlay.AppCompat.ActionBar"
    android:layout_width="match_parent"
    android:layout_height="wrap_content"
    android:minHeight="?attr/actionBarSize"
    android:background="?attr/colorPrimary"/>
Your activity must extend from:
ActionBarActivity
When you find your views (drawer and toolbar) in the activity the set the toolbar as the support action bar and set the setDrawerListener:
setSupportActionBar(mToolbar);
mDrawerToggle= new ActionBarDrawerToggle(this, mDrawerLayout,mToolbar, R.string.app_name, R.string.app_name);
mDrawerLayout.setDrawerListener(mDrawerToggle);
After that you just need to take care of the menu items and drawerToogle state:
 @Override
public boolean onCreateOptionsMenu(Menu menu) {
    MenuInflater inflater = new MenuInflater(this);
    inflater.inflate(R.menu.menu_main,menu);
    return true;
}
@Override
public boolean onOptionsItemSelected(MenuItem item) {
    if (mDrawerToggle.onOptionsItemSelected(item)) {
        return true;
    }
    return super.onOptionsItemSelected(item);
}
@Override
protected void onPostCreate(Bundle savedInstanceState) {
    super.onPostCreate(savedInstanceState);
    mDrawerToggle.syncState();
}
@Override
public void onConfigurationChanged(Configuration newConfig) {
    super.onConfigurationChanged(newConfig);
    mDrawerToggle.onConfigurationChanged(newConfig);
}
@Override
public void onBackPressed() {
    if(mDrawerLayout.isDrawerOpen(Gravity.START|Gravity.LEFT)){
        mDrawerLayout.closeDrawers();
        return;
    }
    super.onBackPressed();
}
The implementation is the same as It was before the Toolbar and you receive the arrow animation for free. No headaches. For more information follow:
If you want to display the drawer over the Toolbar and under the status bar, please refer to this question.
EDIT: Use NavigationView from the support design library. Tutorial to learn how to use in here: http://antonioleiva.com/navigation-view/