Quadrant Defender

Quadrant Defender is a Tower Defense game that allows users to graph systems of equations and use that information to plan their defenses. This game contains gameplay elements that require students to engage in budgeting, critical thinking, and situational geometry.

Story

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In the Delta Quadrant of the galaxy, choice planetary real estate has grown scarce. As a result, tensions have risen between the Sirius Pack, the federation of planets to which you have sworn allegiance, and the ever-expanding Ursa League.


In the past, difficulties of inter-galactic travel served as the barrier between the Ursa League’s territory and your home planet, Canis Prime. Unfortunately, Sirius Pack spies recently discovered that the Ursa League plans to use experimental “Warp Portals” to launch an attack on member planets of the Sirius Pack -- including Canis Prime. With precise calculations, Warp Portals permit large ships to teleport billions of kilometers in a matter of minutes.


Fortunately, warp portals have a weakness: they must start and end near intense gravitational fields, such as those generated by planets and other celestial bodies. Sirius Pack spies have discovered the planetary route along which the Ursans have plotted their jumps, and can erect defenses along the way. These defenses can attack the Ursan fleet as it leaves one warp portal and enters the next.


Using data gathered by the Sirius Pack spies, you can reconstruct the route the enemy fleet will take while traversing between portals. Then they can destroy enemy ships by constructing defensive towers at strategic points along the predicted route. Enemy ships that reach the destination portal will warp out of the sector, free to damage the home world. If too many escape, Canis Prime’s defensive grids will fail and the planet will fall into enemy hands.

Learning Targets

MA.11.822.01.03 - Solve linear equations in one variable. (CAS: 8.2.2.a) (CCSS: 8.EE.7)


MA.11.822.02.03 - Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. (CAS: 8.2.2.a.ii) (CCSS: 8.EE.7b)


MA.11.822.03.03 - Explain that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. (CAS: 8.2.2.a.ii) (CCSS: 8.EE.7b)


MA.11.822.04.03 - Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. (CAS: 8.2.2.a.ii) (CCSS: 8.EE.7b)


MA.11.822.05.03 - Solve real-world and mathematical problems leading to two linear equations in two variables. (CAS: 8.2.2.a.ii) (CCSS: 8.EE.7b)


Earning Badges...

Badges in Quadrant Defender are earned by correctly plotting the intercept points of pairs of linear equations. The linear equations vary in complexity and become more difficult as the player progresses through the games.

  1. Bronze is awarded after the player correctly plots the intercepts of pairs of linear equations in which one equation is given in y=mx+b format and the other is given in ax +by= c formats.
  2. Silver is awarded after the student correctly plots the intercepts of pairs of linear equations in which both equations are given in ax+by =c format.
  3. Gold is awarded after the student correctly plots the intercepts of pairs of linear equations in which one equation is given in ax + by=c format and where a and b are integers, and the other is in ax+by=c format and where a and b are non-integers.
  4. Platinum is awarded after the student correctly plots the intercepts of pairs of linear equations in which both equations are in ax + by = c formats and a and b are non-integer coefficients.