Logical Reasoning

  • Inductive Reasoning
  • Conjecture
  • Counter Example
  • Validating Conjectures → taking action (ie making a measurement)
  • Counter Examples → a statement or example that disproves a conjecture
  • Deductive Reasoning → finding a proof for the conjecture
  • Invalid reasoning
    • False statement
    • Misleading process
    • Circular reasoning

Geometry

  • Parallel Lines and Transversals (X, Z, F patterns, a + b = 180)
  • Properties of triangles and parallelograms (sum of interior angles, angle relationships)
  • Polygons:
    • Sum of interior angles (formula, and triangle rule)
    • Interior angle
    • Exterior angle
  • Law of Sines
  • Law of Cosines
  • Ambiguous Case of Law of Sines

Relations and Functions

  • Central Tendencies: mean, median, mode
  • Range, outliers
  • Countable data vs. continuous data
  • Tally, frequency, cumulative frequency, frequency table
  • Histograms
  • Independent vs dependent variables
  • Table of values
  • Drawing a graph (plotting values)
  • Recognizing quadratic equations
  • Recognizing features of a quadratic graph
    • called a ‘parabola’
    • Opens up or down
    • Vertex
    • Maximum vs. minimum value
    • Axis of symmetry
    • X-intercepts
    • Y-intercept
  • Determine from an equation whether a parabola opens up or down
  • Identifying the features of a parabola by inspecting its graph
  • Matching a factored quadratic equation to its graph by determining from its equation…
    • Identifying the x-intercepts
    • Recognizing whether it opens up or down
  • Determining a quadratic equation from its graph
  • Expanding a factored quadratic equation y = a(x – p)(x – q) to its general form y = ax2 + bx + c


Last modified: Friday, 19 November 2021, 10:45 AM