Hi Elena!

How have you found the design sytem so far?  I think it's pretty awesome.  I've been tinkering with it for various projects, and finally feel I can create a coherent UI with it.

As you've probably found out already, the SLDS (acronym for the design system) doesn't come with any javascript, it's all CSS at least for web pages.  Therefore as developers, we have to develop our own solution (or find existing solutions) to utilize in conjunction with the css.

As a starting point, I would install the lightning app here: https://developer.salesforce.com/blogs/developer-relations/2015/06/creating-simple-real-estate-app-lightning-components.html.  There looks to be some pagination functionality in this you might be interested in.

Also, take a look at lightningdart.com  It's a dart-based framework that has some JavaScript capabilities built into it for handling stuff like SLDS datepickers, etc.  If anything, it might give you an idea of what's possible.

Additionally, you might want to consider a few additional ways to handle pagination (these are all speculative as I haven't tested out pagination functionality yet with lightning components, so you'll have to report back with what works best for your use case):

• Depending on record size, you can utilize the SOQL OFFSET keyword for pagination in AuraEnabled method.
• ​Again, in an AuraEnabled method, you could try to utilze the ApexPages.StandardSetController with built in prev / next / pageSize methods.  Even though you're not writing a VF component, you should still be able to use an SSC
• Look to a third party javascript library like data tables, angular, jquery, infinite scrolling, etc. to handle pagination for you.

Lastly, you'll also want to style your pagination nicely. Look into how you can utilize button groups, buttons, and icons (all links on www.lightningdesignsystem.com) to make the next, previous, and page selection "pretty"

Hope that gives you somewhat of an idea for your next step.