# Using Maths to Create Space Games

 Game Programming using Maths – Module 1 Algebra & Space Travel

 Free pilot studies  – contact gabriel@makingpi.com

 Space Exploration Project 1 Level 4 Time : 1 hour Beginners Scratch The students create a game to explode alien invasion craft in space.  They have to guess the coordinates and then if successful fire the rocket.  The creation of this game teaches the following Maths: ·         Coordinates in 4 quadrants

 Space Exploration Project 2 Level 5 Time : 1 hour Beginners Scratch The students create a game to move rocket launches along the y axis and program in a line to fire at the alien invasion craft.  The students focus on the following Maths: ·         x-y coordinates ·         y = n lines

 Space Exploration Project 3 Level 5 Time : 1 hour Beginners Scratch  The students create a game where they have to shoot the aliens along an x = n line.  The Maths used in this section is: ·         Coordinates ·         x=n lines

 Space Exploration Project 4 Level 5 -6 Time : 2 hours Intermediate Scratch The aim of this game is rotating through 360 and shooting incoming spaceship.  This is an introductory Maths Scratch project which creates a game to teach angle recognition.  It teaches the following maths: ·         Coordinates in 4 quadrants ·         Rotation through 360 degrees ·         The use of random functions to set game initial conditions e.g. random coordinates and random angles
 Space Exploration Project 5 Intermediate level knowledge of Scratch Level 6 -7 Time: 2 hours Develop an Asteroid Game with an ability to shoot asteroids out of space.  The students will program the game assets to: ·         Set asteroids on a collision course with earth ( gradient calculations) ·         Program missiles using y=mx+c ·         Set assets randomly on y/x axis This is a fantastic project for using and applying.

 Space Exploration Project 6 Intermediate level knowledge of Scratch Level 6 -7 Time: 2 hours Develop a game to escape from a black hole.  The ship is caught in a black hole and is being drawn (y=x2 ) into the centre.  You have  to capture frozen  water to give you enough energy to escape raising you to new trajectories ( y =  x2 + 1…).  However if you capture non water mass you will accelerate your decline ( y = 2x2). ·         Learn the shape of the y=x2 ·         Learn how it can be shifted in the form y =  x2 + n ·         Learn how it can be shifted in the form y = nx2

 Space Exploration  Project 7 Intermediate level knowledge of Scratch Level 7 – 8 Time: 2 hours Develop a space travel program.  This requires the student to cross vast areas of space using trigonometry to calculate distance and fuel usage.  The maths taught in this project is: ·         Trigonometry to calculate the hypotenuse ·         Compound measures fuel/dist ·         Algebraic substitution
 Space Exploration Project 8 Intermediate level knowledge of Scratch Level A to A* Time: 3 hours Develop a game to intercept incoming rockets and program another rocket to exactly meet the incoming missile.  The intercept missile equation is different each time and so you have to find a generic solution for simultaneous equations.  The Maths used in this project is: ·         Simultaneous equations ·         Algebraic fractions ·         Pythagoras ·          Speed distance time calculations
 Space Exploration Project 9 Intermediate level knowledge of Scratch Level A to A* Time: 3 hours Escape attack by creating a special evasion program using sin(x) and shifted nxsin(x+a) ·         Y=mx+c lines ·         Sine curves ·         Shifts on the sine curve