# 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 **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**

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
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**

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 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**

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 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**

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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