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