Math, Money, and You
Money has shown up in many forms in many countries and cultures over the ages. Cowrie shells were
used as currency in parts of Africa and Asia, playing cards signed by the governor were used in the 1600s and
1700s in Canada, and China
12-5 Lines and Linear Equations in a Cartesian
Coordinate System
Vocabulary
Cartesian Plane: a system of determining the position of points by
dividing the plane into 4 quadrants by two lines which are the
perpendicular bisectors of each other.
X-axis:
14-1 Translations and Rotations
Translations
o Slide in the vernacular or common speech
o Pre-image what we start with: A
o Determined by a vector or slide arrow or directed line segment
o Image: A
o A translation is a motion (or transformation) of a pla
13-3 The Pythagorean Theorem, Distance Formula, and
Equation of a Circle
Vocabulary
Right triangle: triangle with one 90 degree angle
Isosceles Right triangle: 90 degree triangle with two equal sides
Hypotenuse: longest side of a right triangle
Leg: s
4-1 Variables
Variable
o Missing element or unknown
X+2=5
X is a variable here
o May represent more than one thing
Changing quantity
Heights of people in a classroom
o May represent generalization of a pattern
Section 1-2
o Element of a set or a set itse
14-2 Reflections and Glide Reflections
Reflection = Flip
Definition: A reflection in a line l is a transformation of a plane that
pairs each point P of the plane with a point P in such a way that l is
the perpendicular bisector of
, as long as P is not
14-3 Size Transformations
Definition: A size transformation from the plane to the plane with
center O and scale factor r (r > 0) is a transformation that assigns
each point A in the plane the point A such that O, A, and A are
collinear and OA = rOA and s
4-3 Functions
Functions as Rules
o When Bubba said 3, Spike said 8. When Susan said 7, Spike
said 12. When Mica said 28, Spike said 33. When Liz said 55,
what did Spike say?
o What is Spikes rule?
Functions as Machines
o Input Work Output
o f(x) is read
4-2 Equations
Juxtaposition
o Implied operations with numbers and variables because of the
proximity of the symbols
3x means 3 times x
3 means 3
Theorems of Equality
o Addition Property: For any numbers a, b, and c, if a = b, then
a+c=b+c
o Multiplicati
11-2 Polygons
Polygons
o open curve path in a plane with different starting and ending
points
o closed curve path in a plane with the same starting and ending
point
o non-simple closed curve closed curve that has more points in
common than the starting a
11-1 Basic Notions
Point, Line, Plane
o Point: A, B, C,
No length, width, height
Only holds a position in space
Infinite number of lines and planes pass through any one
point
o Line: l, m, n,
Length, but no width or height
Named by lower case letter in
11-3 More About Angles
Vertical Angles
o Created by intersecting lines are a pair whose sides are two pairs
of opposite rays
A
C
E
D
B
o
o Theorem 11-1: Vertical angles are congruent
o AEC BED ( )
o DEA BEC ( )
Supplementary Angles
o Supplementary angle
1-2 Explorations with Patterns
Mathematics often described as the study of patterns
o What comes next? O, X, X, O, X, X, O, _ , _ ,
_
o Describe the pattern in words:
_
o Will this pattern always hold true? _
o Why or why not? _
Observe the following:
o
7-5 Using Real Numbers in Equations
Plotting Other Functions Using Geogebra
Open the Geogebra tool or go to the website and use the online form
(http:/www.geogebra.org/cms/ ); Download; Applet Start
Input the following:
o y=x
o y = x^2
o y = sqrt(x)
o