ChessKid

The right combo of learning and play for chess fans at any level
Bottom Line: Whether learning, playing, or coaching, ChessKid has it all covered.
Grades: K–12
Price: Free, Free to try, Paid
Free account holders have access to free play, beginner lessons, and a limited number of puzzles per day. A Gold membership unlocks unlimited access to all lessons, games, and puzzles (price options include $10 per month, $50 per year, or $105 for 3 years).
Mangahigh

Awesome, adaptive math games with a killer teacher dashboard
Bottom Line: Fantastic tool for flipped or blended classrooms, formative assessment, or extra practice in any setting.
Grades: 2–12
Price: Free to try
Free 30-day trial gives 100% access. Contact for quote.
Polyup

Super-cute gamified calculator may confuse more than calculate
Bottom Line: Possibly a great tool for advanced students, but can be very confusing for teaching new concepts.
Grades: 3–12
Price: Free
Kahoot! Algebra 2 by DragonBox

Super fun, cutting-edge approach to learning and practicing algebra
Bottom Line: Kids build a strong foundation for algebra by learning the underlying concepts for solving equations with this extremely fun and educational math tool.
Grades: 6–10
Price: Free to try
7-day trial, then $9.99/mo. or $59.99/year. This subscription includes access to all DragonBox products as well as Poio and Kahoot!. Educators can apply to the Teacher Access Program for potential 50% discount.
Divide by Sheep

Extremely addictive puzzle game has dark, slightly gory play
Bottom Line: A great game for math problem-solving, but be careful choosing your audience.
Grades: 6–12
Price: Paid
$2.99
Variant: Limits

3D calculus game has fun virtual world, frustrating feedback
Bottom Line: Despite some glitches, students who don't love math may love this game, and learn a little about limits along the way.
Grades: 10–12
Price: Paid
$30; contact for school pricing.