Student X
October 25, 2013
MATH 3190
A Modeling Approach for Enhancing
Word problems, or Modeling, have been a corner stone in the math curriculum for as long
as I have been in school. When I was youn
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 a
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
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 side
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
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
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
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?
F
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 num
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 c
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,
Lengt
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
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 hol
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 governo
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