I want to create a menu that looks like the one in AngularJs Material website (https://material.angularjs.org)
You can create your own side menu with their directives menuToggle and menuItem, and their menu service, which are found in their source files. I have used this menu in many projects, so I know it works. All you have to do is implement it the same way. I have wrote a blog post that goes through this found here:
How to create an Angular Material Side Menu