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Course Design for Secondary Math II
Course Information
Organization Eastern Arizona College
Division Social Science
Course Number ABS 036
Title Secondary Math II
Credits 2
Developed by Robin Link
Lecture/Lab Ratio 1 Lecture/2 Lab
Transfer Status Nontransferable
Activity Course No
CIP Code 32.0100
Assessment Mode Pre/Post Test (25 Questions/100 Points)
Semester Taught Upon Request
GE Category None
Separate Lab No
Awareness Course No
Intensive Writing Course No
Prerequisites
None
Student must successfully complete Secondary Math I or
receive a scale score between the ranges of
595+.
Educational Value
This course is de signed for those who need to obtain advanced Secondary
Educational Math skills.
Description
Advanced secondary mathematical concepts will be applied to solve a variety
of reallife problems.
Textbooks
Textbooks will be provided by the instructor in the classroom.
Supplies
Students are responsible to bring a notebook, pencils, eraser, and a
calculator to class . The size of the
class will de termine how many calculators Eastern Arizona College can provide.
Students may prefer to
purchase their own calculator for homework assignments.
Competencies and Performance Standards
Develops and applies number sense to solve a variety of reallife problems
and to determine
if the results are reasonable.
Learning objectives
What you will learn as you master the competency:
a. Understands and appreciates the systems of natural numbers, rational numbers ,
real
numbers, and complex numbers , and the relationships among these four number
systems.
Performance Standards
You will demonstrate your competence:
On assigned activities
On exams
On a post test
Your performance will be successful when:
You can simplify numerical expressions with powers and roots , including
fractional and
negative exponents.
You understand and use the rules of exponents and can deduce and use simple laws
of
logarithms .
You use the definition of logarithms to translate between logarithms in
different bases.
You use the properties of logarithms to simplify logarithmic numeric expressions
and to
identify their approximate values.
You use addition , subtraction, multiplication, and division to solve problems
involving
monomials, binomials , polynomials and algebraic fractions and mixed expressions.
You demonstrate fluency in computations with polynomials and understand the
relationships among the solutions of an equation, the zeros of a function , the
x intercepts
of a graph, and the factors of a polynomial .
2. Applies data collection, data analysis, and
probability to interpret, predict, and/or solve
reallife problems.
Learning objectives
What you will learn as you master the competency:
a. Describes, in general terms, the normal curve and uses
its properties to answer questions
about sets of data that are assumed to be normally distributed
b. Constructs and draws inferences, including measures of
central tendency, variability,
and correlation from charts, tables, graphs and data plots that summarize data
from real
life situations
c. Evaluates the effect of sampling methods on data collected and statistical claims
d. Applies curve fitting to make predictions from data
e. Determines probabilities through experiments and/or
simulations and compares the
results with prediction
f. Explains the concept of random variable
Performance Standards
You will demonstrate your competence:
On assigned activities
On exams
On a post test
Your performance will be successful when:
You describe, in general terms, the normal curve and use its properties to
answer
questions about sets of data that are assumed to be normally distributed.
You determine if data gathered from a realworld situation fits a normal curve.
You draw conclusions about a “spread” of data given the variance and standard
deviation (e.g., compares sets of data with the same central tendency, but with
different
variance).
You can organize collections of data into frequency charts, stemandleaf plots,
boxandwhisker
plots, scatter plots and matrices, and determine outliers.
You can design a statistical experiment based on a given hypothesis.
You can draw a line or a curve which closely fits a scatter plot
3. Applies algebraic concepts and methods to explore,
analyze, or solve reallife problems.
Learning objectives
What you will learn as you master the competency:
a. Understands and compares the properties of classes of
functions (e.g., linear,
polynomial, rational, radical exponential, logarithmic and trigonometric)
b. Interprets algebraic equations and inequalities
geometrically and describes geometric
relationships algebraically.
c. Performs mathematical operations on matrices.
d. Uses the methods and operations of algebra to simplify
expressions and to solve
equations, inequalities, and systems of equations and inequalities.
Performance Standards
You will demonstrate your competence:
On assigned activities
On exams
On a post test
Your performance will be successful when:
You can determine the effects of transformation on functions (i.e., what remains
constant, what changes and how)
Given algebraic, numeric, and/or graphical representations, you can recognize
functions
as polynomial, rational, logarithmic, or exponential growth and decay, and
direct and
inverse variation problems.
You can sketch and interpret graphs of linear inequalities, linear equations,
and
nonlinear functions.
You can recognize which type of expression best fits the context of a basic
application
(e.g., linear equation to solve distance/time problems; quadratic equation to
explain the
motion of a falling object, or compound interest as an exponential function).
You can solve quadratic equations graphically, by factoring, completing the
square, or
using the quadratic formula.
You can multiply and divide matrices.
You can solve equations involving one radical.
You can solve a variety of equations and inequalities using algebraic,
graphical, and
numerical methods.
You can simplify expressions with powers and roots, including fractional
exponents.
4. Uses geometric properties, relationships, and
methods to identify, analyze, and solve reallife
problems.
Learning objectives
What you will learn as you master the competency:
a. Translates between three and twodimensional figures
b. Deduces properties of, comparisons of, and
relationships between figures from given
assumptions using informal deductive reasoning
c. Recognizes and analyzes Euclidean transformations
(e.g., reflections, rotations, dilations
and translations)
d. Applies understanding of special right triangles, the
Pythagorean Theorem, and
trigonometric functions to determine information about lengths and angle
measures.
Performance Standards
You will demonstrate your competence:
On assigned activities
On exams
On a post test
Your performance will be successful when:
You can verify characteristics of a given geometric figure using coordinate
formulas
such as distance, midpoint, and slope to confirm parallelism, perpendicularity,
and
congruency.
You understand the ideas behind simple geometric proofs and develop and write
simple
geometric proofs (e.g., the Pythagorean Theorem).
You can determine the effects of a transformation on linear and area
measurements of
the original figure and sketches the figure that is the result of a given
transformation.
You can apply transformational principles to practical situations (e.g., enlarge
a
photograph) and give the new coordinates of a transformed geometric figure.
You can use the definitions of trigonometric functions to find the sine, cosine,
and
tangent of the acute angles of a right triangle.
Types of Instruction
Classroom Presentation
Small Group Instruction
Individualized Instruction
Video Instruction
Grading Information
Grading Rationale
Evaluation Methods:
Each instructor has the flexibility to develop evaluative procedures within the
following parameters.
1. Written assignments must represent 50% of the course grade
2. Exams must represent 25% of the course grade
3. Post Test must represent 25% of the course grade
Grading Scale
Pass 70% 100%
Fail Below 70%
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