10 iPad Apps for the Classroom
Math
Quick Graph (free) – A complete graphic calculator application. Able to handle both 2D and 3D graphs. Input as many formulas as you want. A custom keyboard makes inputting easier. No need to go through the tedious Apple keyboard sub-menus to get to math functions (great for writing, not for math).

PCalc Lite (free) – This is the calculator the iPad should have came with. The lite version (free) will handle your needs for the average math class. The paid features refer to more themes and much higher level computing, aimed more for the college or professional level.

English and Reading
Kindle for iPad (free) – Requires Amazon account. Connects to the Amazon Book Store, the same store used by the Kindle. All your books purchased from Amazon will be synced together between your iPad, Kindle, iPhone, Desktop, Laptop, or any other device that has the Amazon eBook Application (including bookmarks). This is nice if you don’t allow students to take the iPad home. They can access their books through the Amazon desktop application on any computer.

Dictionary and Thesaurus (free) – Pretty self explanatory. This free app from dictionary.com offers a straight forward dictionary and thesaurus to use on the iPad. A simple but needed feature for use in the classroom.
Writing and Note Taking
Evernote (free) – Requires and Evernote account. Personally, this was my note taking app of choice during college. I was using it on a laptop but the program is the same. The organization structure is great, you can keep all your notes organized by class, topic, or any way you see fit. You can add photos and videos to your notes, or even voice memos. Evernote syncs your notes with your online account, so they are accessible through the app on any device (laptop,desktop, iPad, cell phone…).
Notes (free) – The default note taking application for the iPad is not to shabby. It’s great for quickly jotting down thoughts and ideas. You can email the notes to work on them on your computer. This isn’t an application where you will manage all your notes (no real organization system), and it doesn’t sync with other device. This would be an app you could use on a field trip. Students can jot down things they see during the day and review them later in class.
History and Social Studies
US Constitution (free) & The Declaration of Independence (free) – These apps turn historical documents into easy to read text documents on the iPad. The US Constitution is separated by section for easy navigation and search. The Declaration of Independence include images of the original document.
MyCongress (free) – This is an application for data on OpenCongress.org. View information on bills being debated, the profiles of you elected officials, or send an email to your representative. You can even search by area code to view information relevant to your local government. This is a good App to get students involved in the US Government and see what’s happening today. *It’s worth noting that this is not an official government resource, more information here.*
Science
The Elements (13.99) – Although the most expensive App on the list, it is also one of the most powerful. It has been featured on the Apple website as one of the best Apps for the iPad. The App provides an interactive and in-depth periodic table, with examples of each elements and detailed information. All within a simple and organized touch navigation.
Star Walk (4.99) – A full featured astronomy app. It has a digital compass which allow students to hold the iPad up towards the sky and see a live representation of the stars in the sky. You can view how the sky looked or will look on a specific date. Find days of eclipses and meteor showers and bookmark your findings for access later. Also get detailed information on the planets or specific constellation.

If you have any app suggestions or ones that you’ve used in the classroom, leave a note in the comments.
Follow up article: 10 (more) iPad Apps for the Classroom