# 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

Lecture/Lab Ratio 1 Lecture/2 Lab

Transfer Status Non-transferable

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 designed for those who need to obtain advanced Secondary Educational Math skills.

Description
Advanced secondary mathematical concepts will be applied to solve a variety of real-life 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 determine 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 real-life 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

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
real-life 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

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 real-world 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, stem-and-leaf plots, box-andwhisker
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 real-life 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

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
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 two-dimensional 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

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