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© 2018 - 2019 by Smart Girl.

These SmartGirl Study Notes Include:

Summary of proofs (for Trigonometry & Euclidean Geometry)
Algebra, Sequences & Series & Polynomials:

  • Revision of grade 11 concepts
  • Linear, Quadratic & Exponential Patterns
  • Arithmetic Series
  • Geometric Series
  • Geometric Series - sum to infinity
  • Sigma notation
  • Practical Applications of Sequences & Series
  • Polynomials

Trigonometry & Trig graphs:

  • Revision of basic trigonometry
  • Summary of grade 11 concepts: trig identities, reduction formulae, special angles & specific & general solutions
  • Trig graphs
  • Compound angles
  • Double angles
  • Using double angles with identities
  • General & specific solutions with double & compound angles
  • Equations with compound & double angles
  • Restrictions on identities & equations
  • Trigonometry in 3 dimensions

Functions:

  • Parabolas
  • Hyperbolas
  • Exponential Functions
  • Functions & Inverse Functions
  • Exponential & Log functions

Probability & Statistics:

  • Notation
  • Mutually exclusive events, complementary events, independent & dependent events
  • The product rule & the addition rule
  • Venn diagrams, tree diagrams & contingency tables
  • The fundamental counting principle (includes examples)
  • Five number summaries & percentiles
  • Histograms & Frequency polygons
  • Variance & standard deviation
  • Ogives
  • Normal distribution, symmetrical & skewed data
  • Scatter plots
  • Regression lines
  • Correlation coefficients
  • Interpolation & extrapolation

Euclidean & Analytical Geometry:

  • Grade 11 Revision of Analytical Geometry Formulas
  • Equations of circles
  • Tangents to a circle
  • Problem solving with circles
  • Summary of basic Euclidean geometry concepts (from grade 8 - 10)
  • Summary of circle geometry (grade 11)
  • Congruency
  • Similar polygons
  • The midpoint theorem
  • The proportionality theorem
  • Equiangular triangles
  • Triangles with proportional sides & similarity
  • The Pythagorean theorem & similarity
  • Proofs
  • Summary of grade 12 theorems

Financial Mathematics:

  • Simple growth and decay
  • Compound growth and decay
  • The effects of different compounding periods
  • Timelines (interest rate changes and additional withdrawals & deposits)
  • Nominal & Effective Interest Rates
  • Future Value Annuities
  • Present Value Annuities
  • Loan Values
  • Differing Final payments
  • Deferred Payments
  • Sinking Funds
  • Pyramid Schemes

Differential Calculus & Cubic Graphs:

  • Differential Calculus
  • Limits
  • First Principles
  • Rules of Differentiation
  • Differentiation shortcut
  • Gradient at a point
  • Equation of a tangent
  • Stationary points
  • Cubic graphs
  • Calculus & Problem solving

Grade 12 Math

$25.00Price