Hello lareianne,
Welcome to Apple Support Communities!
Based on your post, I see that your children's account on your iMac isn't able to burn DVDs. I understand the importance of being able to burn DVDs, as I do this a lot on my iMac. I'm happy to help assist you with this.
Use OS X El Capitan: Set up parental controls and check the parental controls restrictions to see if burning CDs and DVDs are restricted, specifically, this section:
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Choose Apple menu > System Preferences, then click Parental Controls.
Note: When you open Parental Controls preferences, if you see the message “There are no user accounts to manage,” see Add a managed user.
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Click the lock icon
to unlock it, then enter an administrator name and password.
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Select a user, then click a button at the top.
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Apps: Prevent the child from using the built-in camera. Restrict a child’s contact with other people through Game Center and Mail. Specify which apps the child can access.
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Web: Limit access to websites, or allow unrestricted access.
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Stores: Disable access to the iTunes Store and the iBooks Store. Limit a child’s access to music, movies, TV shows, apps, and books to only those with age-appropriate ratings.
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Time: Set time limits for weekdays, weekends, and bedtime.
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Privacy: Allow the child to make changes related to privacy.
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Other: Block using Dictation, access to printer settings, and burning CDs and DVDs. Hide profanity in the dictionary and other sources. Prevent the Dock from being modified. Provide a simplified view of the Mac desktop.
Best Regards.