To gain access to courses placed into an archived or frozen status, under the "My Courses" tab change the "In Progress" dropdown to "Past" to see the page.

Image shows dropdown for selecting past courses


On your course page, and provided you are using a teacher role, navigate to the "More" dropdown options and select "Download instructor files".
Highlighting of Download instructor files option


This will download a .zip folder containing your materials to the Downloads area of your computer. (There may be a popup on your browser to automatically take you to this location)

Showing downloaded .zip archive in the downloads folder


On Windows, if you double click on this .zip folder the contents will open. From there you can hold left click on the item you want to extract and drag it to the Downloads folder as highlighted below

Instructions showing that items in the zip archive can be drag and dropped into the downloads folder


Your item will then be visible in the Downloads folder and you can re-use it on a new Moodle course page

Highlighted item that was dragged out of .zip and into Downloads folder


Alternatively, if you are using a Microsoft Windows device, you can right click on your item in the downloads folder and click "Extract All"

Extract All option highlighted in right click context menu


This will open a new pop-up window and you just need to click "Extract"

Extract option highlighted after Extract All popup


Since the "Show extracted files when complete" option is selected by default, a new folder will promptly open containing all of your content and you can re-use the material as you see fit.