FOM11
1.1 - 1.3 Notes:
Inductive Reasoning Conjectures and Counterexamples
Definitions
Inductive reasoning:
Conjecture:
Counterexample:
Non-math examples
1. Based on the following data on total precipitation in Vancouver over 5 years, what
conjecture can
FOM11
5.3 Standard Deviation
Standard Deviation
Standard Deviation is one measure of dispersion (ie how spread out a set of data is)
Two sets of data could have exactly the same mean, yet be distributed in very different
ways:
Formulas:
x=
x
is the formul
FOM11
5.2 Frequency Distribution Tables, Histograms and Frequency Polygons
Frequency distribution tables
There are different ways that you can present the same data.
List
Ordered List
Frequency Table
Frequency Distribution Table
Test Scores
63 90
57 63
93
FOM11
2.1-2.2 Notes:
Angles Formed by Parallel Lines
Definitions/Symbols to know:
Transversal:
Parallel:
Perpendicular:
Vertically Opposite Angles:
Supplementary:
Complementary:
Labelling Angles:
When lines are parallel:
Converse:
Proving in Geometry
Ex1
FOM11
4.1-4.2 Sine and Cosine Law for Obtuse Triangles
Complementary angles
Calculate sin 20 _
Now calculate cos70 _
Try sin 40 and cos50
Try sin80 and cos10
Make a conjecture about the sines and cosines of angles.
Supplementary angles
Calculate sin 20 _
FOM11 3.1/3.2 Sine Law Pt 1
Labelling
sin A sin B sin C
=
=
a
b
c
Formula
Examples
1.
Find side a
B
7
A
40
31
C
Find angle B.
2.
B
10.8
A
23
C
21.3
3.
Find angle C.
B
35
A
18
13
C
or
a
b
c
=
=
sin A sin B sin C
FOM11 3.3 Cosine Law
Two Situations where S
FOM11
2.4 Notes:
Angle Properties in Polygons
Sum of the interior angles
Ex1
A polygon has 9 sides. What is the sum of the interior angles?
Ex2
The sum of the interior angles of a polygon is 1800 How many sides does the polygon
.
have?
Measure of each int
FOM11
2.3 Notes:
Angle Properties in Triangles
Definitions/Symbols to know:
Triangle Sum:
Non-adjacent interior angles:
Ex: Prove that the quadrilateral MATH is a parallelogram.
M
A
45
70
o
65o
o
45o
T
H
HW 2.3: P78 #3,5,6,7,9,11,13
FOM11 - 5.1 Measures of Central Tendency
When we do statistical analysis, we are trying to describe patterns in data.
There are many measurements that we can take to describe a set of data.
The most basic statistics are measures of _ and
_
Measures of Cen