Mathematics for Elementary Educators II: Support Guide Notes
Competencies
This course provides guidance to help you demonstrate the following 4 competencies:
Competency 121.2.1: Rational Numbers and Proportional Reasoning
The graduate applies the properti
EFP Task 1 (0516)
Not Evident
Articulation of
Response
(clarity,
organization,
mechanics)
Competent
Responses are
organized and focus on
Responses are
the main ideas
Responses are
poorly organized
presented in the
unstructured or
or difficult to
assessmen
Task 2 Diversity Awareness
Sean Freeland
Western Governors University
A. Two Groups of Diversity
Intellectual Giftedness, intelligence, and talents are essential concepts that look different
throughout different cultures. Throughout different school syste
EFP Task 2 (0516)
Not Evident
Approaching
Competence
Competent
Responses are
Responses are
poorly organized or
unstructured or
difficult to follow.
disjointed. Vocabulary
Articulation of
Terminology is
and tone are
Response
misused or
unprofessional or
(c
SRT Task 2 (0516)
(A) State the three conditions of the integral test
To use the integral test, the following 3 statements must be true:
1. Its terms are positive
2. Its terms are decreasing
3. The associated function is continuous
(B) Justify that each c
SRT Task 1 (0516)
(A) Perform the nth term test justifying all work
We do the nth term test to see if the series diverges. We take the limit of the given series as it
approaches infinity to get the information we need to determine the convergence or diver
(GR, SRT2-0516) Task 3
(A) Perform the root test, justifying all work.
If we figure out the limit of the nth root of the series, we will come up with a value we label
(rho). The value is then interpreted to determine the convergence or divergence of the
(GR, SRT2-0516) Task 5
Plane P1 is given by the equation 3x + 4y 5z = 60
Plane P2 is given by the equation 4x + 2y + cz = 0
A. Determine the value of C that makes plane P2 perpendicular to plane P1 using algebra and/or calculus
techniques and justifying a
Task 6, Gradient and Slope (GR, SRT2-0516)
Given:
3
2
f ( x , y ) =x yx y
2
z=f ( x , y )
(A)
P0=(a , b , f ( a , b)
P0=(1,2,2)
order calculate the point on the suface of z , I replaced a with 1b with 2.
1
24
2
(A1) Calculate the directional derivative
(GR, SRT2-0516) Task 4
(A) State the three conditions of the alternating series testwithout the alternating part:
For a given series:
(1 )n+1 an
n=1
1. All terms in the series are greater than zero:
2. All terms decrease from the first term:
3. The limit
(A1)
(A2)
(A3)
(B)
Provide a logical argument that demonstrates that when applying any two reflections, the outcome will always either be equivalent to a
rotation or a translation.
A reflection is where a figure is reflected across a line so that a mirror
Crystal Stidman (revision 12/22/2015)
EXP Task 1 (0514)
Requirements:
(A1) Create 2 additional axioms
Axiom 1: Each game is played by two distinct teams
Axiom 2: There are at least four teams.
Axiom 3: Each team has at least three distinct players.
Axiom
(1) Find the legs of triangle AFJ and triangle JFK give the hypotenuse is 1 since it is a unit square:
a.
2
2 a =c
2
2 a 2 12
=
2
2
a2=
a=
1
2
1
2
or
2
2
*Label each leg of large isosceles triangle
2
2
(2) Given that BEFD is a square (meaning all sides a
RKT Task 2 (0216)
(A1)
Proof of Law: 3 X + Y = Y + X for X and Y in
R
2
Commutative law as related to vector addition
2
Let vectors X and Y in R be represented by
x=( x 1 , x 2 ) y =( y 1 , y 2 ) where x1 , x2 , y 1 , y 2 are real numbers
( x 1 , x 2 ) +(
Linear Algebra, Task 1
(A1) Create a 2 x 2 rotation matrix where AI
[
4
A=
sin
4
cos
][ ]
1
4
2
=
1
cos
4
2
sin
1
2
1
2
(A2) Determine the location of point (3, 2) when it is rotated using the linear transformation generated by matrix A.
[
4
sin
4
cos
[
[
Introduction:
Geometry is based on clearly stated axioms, so it is a subject that lends itself to the practice
of doing proofs about geometric objects and solving problems by applying those axioms.
In this task you will prove a statement regarding a funda
RKT2 - Linear Algebra
Course of Study
This course requires a performance assessment. It covers 5 competencies.
Introduction
Overview
This course supports the assessment for Linear Algebra.
Linear Algebra is the study of the algebra of curve-free functions
LINEAR ALGEBRA
Competency 209.8.5: Linear Transformations - The graduate demonstrates understanding of
linear transformations and their applications.
Competency 209.8.6: Matrices - The graduate applies matrix theory and matrix algebra to
model and solve p
Definitions
for Task 4
The Definition of a Vector Space
A vector space is a set V of elements (called vectors) and vector addition and scalar
multiplication operations that satisfy the following 10 laws (for all vectors X, Y, and Z in V
and all [real] sca
EFP1: Cultural Studies and Diversity
Task 1
Daniel Burns
7/28/2016
Part A: Culture and Diversity
Culture is defined as a set of common beliefs, customs, traditions, morals, and knowledge that
are shared by a particular group or society. It can be expresse
Running head DIVERSITY IN EDUCATION: FROM ADHD TO GIFTED AND TALENTED
Task 2: Diversity in Education: From ADHD to Gifted and Talented
Daniel Burns
Western Governors University
000508729
1
DIVERSITY IN EDUCATION: FROM ADHD TO GIFTED AND TALENTED
2
As our