Mathematics Finals 1st-4th Quarter

• Arithmetic Sequence Formula : an = a1+(n-1)d
• Arithmetic Series formula: Sn = n/2 (a1 + an)
• Geometric Sequence: an=a1 · r^n-1
• Geoetric Series Formula : Sn = a1 (1-r^n)/1-r
• Graphing Polynomial Functions

  1. leading term
• Graphing Polynomial Functions

  1. leading term
  2. behavior of the graph
  3. x-intercepts
  4. factored form
  5. multiplicity of roots
  6. y-intercept
  7. number of turning points
• Leading term - Highest exponent
• Behavior of the Graph

  Positive/Odd - falls to the left and rises to the right

  Positive/Even - rises to the left and right

  Negative/Odd - rises to the left and falls to the right

  Negative/Even - falls to the left and right
• Multiplicity of Roots - Number of times the root is repeated
• Multiplicity of roots

  Odd - cross

  Even - touch
• Circle - A set of points which are equidistant to a point called center
• Radius - any segment joing the center to a point on the circle
• Chord - a segment joining any two points on the circle
• Diameter - a chord passing through the center
• Arc - a part of a cicle between two points on the cicle
• Semicircle - One half of a circle and measures 180 degrees. A diameter divides a circle into two semicircles.
• Minor Arc- Less than a semicircle (less than 180 degrees)
• Major Arc - greater than a semicircle (greater than 180 degrees)
• Central angle - an angle whose vertex is the center of the circle and whose sides are radii of the circle
• Inscribed Angle - an angle whose vertex is on the circle and whose sides contains chords of the circle
• Intercepted Arc - an arc that lies in the interior of an inscribed angle and has endpoints on the angle
• n-factoral - the product of a positive integer n and all the positive integers less than it.
• Permutation - a permutation of n objects taken r at a time is an ordered arrangement without repetition of the r objects from the set of n objects
• Permutation formula: nPr = n!/(n-r)!
• Distinguish Permutation Formula : P=n!/n1!n2!n3!
• Circular Permutation : P = (n-1)!
• Probability - Can measure the chances of an event happening.
• Probability formula : P=n(E)/n(O)