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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