# COURSE PROCEDURE FOR MATH AND PHYSICS FOR GAME DEVELOPMENT

 UNIT 1: Numbers Outcomes: Upon completion of the unit, the student will have an understanding of how numbers can be worked with in different bases. A B C D F N Specific Competencies Demonstrate the ability to: Write numbers in different bases . Understand how computers represent numbers. UNIT 2: Arithmetic Outcomes: Upon completion of the unit, the student will understand how to work with fractions, proportions, ratios , percentages, exponentials, and logarithms. A B C D F N Specific Competencies Demonstrate the ability to: Work with fractions and remainders . Work with proportions, ratios, and percentages. Work with exponentials . Work with logarithms . UNIT 3: Algebra Outcomes: Upon completion of the unit, the student will be able to solve algebraic problems related to game development. A B C D F N Specific Competencies Demonstrate the ability to: Work basic algebra problems including functions, equations, formulas and inequalities. Factorization and solving quadratic equations . Solving cubic equations. Solving simultaneous equations by substitution and elimination . Work with functions and graphs. UNIT 4: Trigonometry Outcomes: Upon completion of the unit, the student will be able to incorporate trigonometric concepts into game development. A B C D F N Specific Competencies Demonstrate the ability to: Work with angles, degrees, area, and radian measure.. Work with the Pythagorean theorem. Work with the trigonometric functions. Work with inverse trigonometric functions. Work with calculations of triangles including sine/cosine rules, similar triangles, and the area of a triangle. Work with rotations and reflections. Apply shading techniques including gradients. Apply packaged effects. UNIT 5: Vectors Outcomes: Upon completion of the unit, the student will be able to work with vector operations and equations . A B C D F N Specific Competencies Demonstrate the ability to: Understand vectors. Perform vector operations including arithmetic and the normal vector. Work with vector motion. Separate vectors into components. Work with the dot product . Work with vector equations. Work with matrices. UNIT 6: Calculus Outcomes: Upon completion of the unit, the student will be able to incorporate calculus concepts into game development. A B C D F N Specific Competencies Demonstrate the ability to: Work with differentiation and integration. Work with differential equations. UNIT 6: Calculus Outcomes: Upon completion of the unit, the student will be able to incorporate calculus concepts into game development. Work with approximation methods. UNIT 7: Acceleration, Mass, and Energy Outcomes: Upon completion of the unit, the student will be able to under basic problems in acceleration, mass, and energy. A B C D F N Specific Competencies Demonstrate the ability to: Work with ballistics. Work with mass and momentum. Work with energy. UNIT 8: Detecting Collisions Between Simple Shapes Outcomes: Upon completion of the unit, the student will be able to work with problems dealing with collisions between simple shapes. A B C D F N Specific Competencies Demonstrate the ability to: Work with circles colliding. Work with squares colliding . Work with ovals colliding. Work with various shapes colliding. UNIT 9: Resolving Collisions Outcomes: Upon completion of the unit, the student will be able to resolve collisions in game development. A B C D F N Specific Competencies Demonstrate the ability to: Resolve a single collision. Handle multiple collisions. UNIT 10: Detecting Collisions Between Complex Shapes Outcomes: Upon completion of the unit, the student will be able to work problems detecting collisions between complex shapes. A B C D F N Specific Competencies Demonstrate the ability to: Understand the problems of complex shapes. Work with various collisions between complex shapes. UNIT 11: Force and Newton’s Laws Outcomes: Upon completion of the unit, the student will be able to work basic problems dealing with force and Newton’s Laws. A B C D F N Specific Competencies Demonstrate the ability to: Work with force. Work with gravity. Work with rockets and satellites. UNIT 12: Angular Motion Outcomes: Upon completion of the unit, the student will be able to work basic problems dealing with angular motion. A B C D F N Specific Competencies Demonstrate the ability to: Work with levers. Work with spin. Work with Spinning Collisions. UNIT 13: Friction Outcomes: Upon completion of the unit, the student will be able to work basic problems dealing with friction. A B C D F N Specific Competencies Demonstrate the ability to: Understand how friction works. Work with friction and angular motions. UNIT 14: Strings, Pulleys, and Conveyor Belts Outcomes: Upon completion of the unit, the student will be able to work basic problems dealing with strings, pulleys, and conveyor belts. A B C D F N Specific Competencies Demonstrate the ability to: Work with strings. Work with pulleys. Work with continuous momentum.
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