Math 10 Pure      Notes Version       Exam Version

Sequences and Financial Math
     Compound Interest:
          A = P(1 + i)n  or  A = P(1 + r/n)nt
     GST rate = GST/price
     Tip rate = Tip/price   or   Tip rate = Tip/(GST + price)

     Arithmetic Sequence:
          tn = a + (n - 1)d   Sn = n/2 [ 2a + (n - 1)d

     Geometric:
          tn = arn-1   Sn = n/2 (a + tn)

Functions Check: vertical line test

Rational Expressions/Equations Restrictions: Look for variables in denominators

Coordinate Geometry
     The distance between A(x1, y1) and B(x2, y2) is:

     The midpoint of the line segment joining A(x1, y1) and B(x2, y2) is

     The line slope joining A(x1, y1) and B(x2, y2) is

**Number Systems: real, rational, irrational, integers, whole, natural

Equations of Linear Relations (Lines)
      slope y-intercept: y = mx + b
      point-slope: y2 - y1 = m(x2 - x1)
      **standard form: ay + bx + c = 0
      **x-intercept: y = 0, y-intercept: x = 0
      Perpendicular lines: slopes are negative reciprocals (m1 * m2 = -1)
      Functions pass the vertical line test
      Line of Best Fit - Under construction

Multiplying Polynomials
Factoring Polynomials with and without Algebra Tiles

Trigonometry
   In any right triangle, : c2 = a2 + b2,    a2 = c2 - b2
   In any triangle, :

      c2 = a2 + b2 - 2ab cosC  (2 sides/contained angle)    
        (3 sides)

SinA = opposite    CosineA = adjacent     TangentA = opposite             hypotenuse                 hypotenuse                     adjacent

Hint:  S o/h   C a/h   T o/a

Angle of Elevation = Angle of Depression: alternate angles are congruent

Angle Definitions (Standard Position)**

Right Triangle Definitions **

      

 
Q1
Q2
Q3
Q4
sin= y/r
+/+ = +
+/+ = +
-/+ = -
-/+ = -
cos= x/r
+/+ = +
-/+ = -
-/+ = -
+/+ = +
tan= y/x
+/+ = +
-/+ = -
-/- = +
-/+ = -

Starting from
Q4: C A S T

A
S
T
C
        
Comments to:  Jim Reed - Homepage