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Grade 12

Mathematics

Function Transformation

Movement and shape changes vital for animation and design.

  • Vertical Translation

  • Horizontal Translation

  • Vertical Reflection

  • Horizontal Reflection

  • Vertical Dilation

  • Horizontal Dilation

  • Rotation

  • Combined Function Transformations

Circle Arcs and Sectors

Perfect shapes forming the basis of wheel mechanics and architectural design.

  • History of Pi

  • Arc

  • Chord

  • Central Angle on Arc

  • Circle Arc

  • Sector

  • Central Angle on Sector

  • Circle Sector

  • Relationship Between Arc Length and Sector Area

  • Segment

Combinatorics

Combining elements in unique ways to solve complex problems.

  • Slot Filling Rule

  • Permutation of n Items from n Objects

  • Permutation with Identical Objects

  • Circular Permutation

  • Combination

  • Probability of an Event

  • Probability of Compound Events

  • Probability of Mutually Exclusive Events

  • Probability of Independent Events

  • Probability of Independent Conditional Events

  • Binomial Newton

Analytic Geometry

Combining geometry with algebra to understand relationships between lines and curves.

  • Definition of Circle

  • Equation of Circle

  • Position of a Point to a Circle

  • Position of a Line to a Circle

  • Position of a Tangent Line to a Circle

  • Equation of a Tangent Line to a Circle

  • Position of Two Circles

  • Parabola

  • Ellipse

  • Hyperbola

  • Tangent Line to Conic Sections

Limits

Fundamental calculus concept analyzing function behavior as it approaches a value.

  • Concept of Limit Function

  • Properties of Limit Function

  • Limit of Algebraic Function

  • Limit of Trigonometric Function

  • Application of Limit Function

Derivative Functions

Measuring rates of change essential in physics and optimization.

  • Concept of Derivative Function

  • Writing the Derivative Function

  • Properties of Derivative Function

  • Derivative of Algebraic Function

  • Derivative of Trigonometric Function

  • Chain Rule in Derivative

  • Equation of a Tangent Line to a Curve

  • Increasing, Decreasing, and Stationary Function

  • Extrema, Maximum and Minimum Value

  • Application of Derivative

Integrals

Process of calculating area and accumulating data from continuous functions.

  • Definition of Indefinite Integral

  • Properties of Indefinite Integral

  • Riemann Sum

  • Definite Integral

  • Properties of Definite Integral

  • Fundamental Theorem of Calculus

  • Area of a Flat Surface

  • Integral in Economics and Business

  • Integral in Physics

Data Analysis and Probability

Statistical methods for processing information and predicting events under uncertainty.

  • Uniform Distribution

  • Binomial Distribution Function

  • Expected Value of Binomial Distribution

  • Normal Distribution Function

  • Expected Value of Normal Distribution

References

Source codeVideosCommunity
  • MathematicsGrade 12
Chapter
  • Function Transformation
  • Circle Arcs and Sectors
  • Combinatorics
  • Analytic Geometry
  • Limits
  • Derivative Functions
  • Integrals
  • Data Analysis and Probability
  • Report