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# COURSE SYLLABUS

Algebra I A/B
Modified: 2011
Course Description:

Last

In this year-long Algebra course, students will cover topics over a two semester
period (as designated by A and B sections). Students will become familiar
with the language and history of algebra, they will use properties of real
numbers to simplify expressions, and solve equations and inequalities.
Students will work with ratios and proportions; they will study probability and
statistics as well as explore functions, slope and graph linear equations.

Learning Targets:

Semester A
Variables and expressions
Order of operations and
evaluating expressions
Real numbers and the
number line
Properties of real numbers
numbers
Multiplying and dividing real
numbers
An introduction to equations
Patterns, equations, and
graphs
Solving one-step equations
Solving two-step equations

Semester B
Zero and negative exponents
Scientific notation
Multiplying powers with the
same base
More multiplication properties
of exponents
Division properties of
exponents
Exponential growth and decay
polynomials
Multiplying and factoring
Multiplying binomials
Multiplying special cases
Factoring

## Solving multi-step equations

Solving equations with
variables on both sides
Literal equations and
formulas
Ratios, rates, and
conversions
Solving proportions
Proportions and similar
figures
Percents
Change expressed as a
percent
Inequalities and their graphs
Solving inequalities using
Solving inequalities using
multiplication and division
Solving multi-step
inequalities
Working with sets
Compound inequalities
Absolute value equations and
inequalities
Unions and intersections of
sets
Using graphs to relate two
quantities
Patterns and linear functions
Patterns and nonlinear
functions
Graphing a function rule
Writing a function rule
Formalizing relations and
functions
Sequences and functions
Rate of change and slope
Direct variation
Slope-intercept form
Point-slope form
Standard form
Parallel and perpendicular
lines
Scatter plots and trend lines
Graphing absolute value
functions
Solving systems by graphing
Solving systems using
substitution
Solving systems using
elimination
Applications of linear systems

## Factoring special cases

Factoring by grouping
properties
equations
Completing the square
discriminate
exponential models
The Pythagorean Theorem
expressions
Graphing square root
functions
Trigonometric functions
Simplifying rational
expressions
Multiplying and dividing
rational expressions
Dividing polynomials
rational expressions
Solving rational equations
Inverse variations
Graphing rational functions
Organizing data using matrices
Frequency and histograms
Measures of central tendency
and dispersion
Box-and-whisker plots
Samples and surveys
Permutations and
combinations
Theoretical and experimental
probability
Probability of compound
events

Linear inequalities
Systems of linear inequalities

Required Materials:

Graphing Calculator
Note: This course contains an embedded softcopy textbook.

Content Standards:

## This course was written to Common Core State Standards as adopted by

California within the Smarter Balance Consortium.

Pre-Requisites:

## Pre-Algebra or comparable mathematics course

Letter Range (%)
A
97-100
A
94-96
A90-93
B+
87-89
B
84-86
B80-83
C+
77-79
C
74-76
C70-73
D+
67-69
D
65-66
D60-64
F
0-59
Course Methodology:

## This is an inquiry-based course. Students will generate knowledge through

online readings, asynchronous discussions with students and their instructor,
interactions with online tutorials, and online and hands-on simulations. A
semester project developed by each student will be used to demonstrate
knowledge and understanding of the material in the course.
The instructor will act as a guide, a facilitator, an events planner, and a
resource advisor. He/she will always be available through e-mail. The student
must actively construct and acquire knowledge by being intrinsically motivated
to succeed. To succeed, students must participate and complete all readings
and activities. This course requires the students active participation.
Both formal and informal assessment methods will be used in the course.
Informal assessment will include an evaluation of the quality and timeliness of
participation in class activities. Formal assessment may include multiple-choice
quizzes, tests, discussion board participation, and written assignments. A final
exam will be given at the end of the course.

Course Expectations:

## Students are expected to conduct themselves in a responsible manner that

reflects sound ethics, honor, and good citizenship. It is the students
responsibility to maintain academic honesty and integrity and to manifest their
commitment to the goals of NUVHS through their conduct and behavior.
Students are expected to abide by all NUVHS policies and regulations. Any
form of academic dishonesty, or inappropriate conduct by students or

## applicants may result in penalties ranging from warning to dismissal, as

deemed appropriate by NUVHS.
Communication:

Throughout this course students will need to be in close contact with their
instructor and fellow students. Students are expected to communicate via
email and electronic discussion boards. Therefore, students should plan on
checking email at least three to five times a week and participate in the
discussion boards during the weeks they are live.
Instructors strongly encourage and welcome open communication. Clear,
consistent, and proactive communication will ensure a successful experience in
this course. It is the students responsibility to notify the instructor
immediately if and when a personal situation occurs that affects his/her
performance in this class. Being proactive with communication will result in a
quick solution to any problems that may occur.
Technical Support is offered through Spectrum Pacific Learning Company
(SPLC). Should a student need any technical assistance, he/she should email
the Help Desk as soon as possible at helpdesk@myonlinelogin.com or call 1877-252-7715. SPLC will help resolve technical problems and walk through the
solution with students. If a problem persists for more than 48 hours, the
student must also notify his/her teacher(s) and NUVHS.
Course Outline

Semester A
Unit
1

Topic
The Foundations of Algebra
Part 1

Activity

Diagnostic Exam
Reading Assignment Chapter: 1.1 to 1.3
Homework Assignment: 1.1 to 1.3
Class Discussion
Unit 1 Quiz

Part 2

## Reading Assignment Chapter: 1.4 to 1.9

Homework Assignment: 1.4 to 1.9
Class Discussion
Unit 2 Quiz

Solving Equations

## Reading Assignment: 2.1 to 2.10

Homework Assignment: 2.1 to 2.10
Class Discussion
Unit 3 Quiz

Solving Inequalities

## Reading Assignment: 3.1 to 3.8

Homework Assignment: 3.1 to 3.8
Class Discussion
Unit 4 Quiz
Midterm

An Introduction to Functions

## Reading Assignment: 4.1 to 4.7

Homework Assignment: 4.1 to 4.7
Class Discussion
Unit 5 Quiz

Linear Functions

## Reading Assignment: 5.1 to 5.8

Homework Assignment: 5.1 to 5.8
Class Discussion
Unit 6 Quiz

Inequalities

## Reading Assignment: 6.1 to 6.6

Homework Assignment: 6.1 to 6.6
Class Discussion
Unit 7 Quiz

Algebra IA Review

Class Discussion
Class Project
Final Exam

Activity
Diagnostic Exam
Homework Assignment: 7.1 to 7.3
Class Discussion
Unit 1 Quiz

Semester B
Unit
1

Topic
Exponents and Exponential
Functions Part 1

Functions Part 2

## Reading Assignment: 7.4 to 7.7

Homework Assignment: 7.4 to 7.7
Class Discussion
Unit 2 Quiz

## Reading Assignment: 8.1 to 8.8

Homework Assignment: 8.1 to 8.8
Class Discussion
Unit 3 Quiz

Equations

## Reading Assignment: 9.1 to 9.7

Homework Assignment: 9.1 to 9.7
Class Discussion
Unit 4 Quiz
Midterm

Equations

## Reading Assignment: 10.1 to 10.6

Homework Assignment: 10.1 to 10.6
Class Discussion
Unit 5 Quiz

Functions

## Reading Assignment: 11.1 to 11.7

Homework Assignment: 11.1 to 11.7
Class Discussion
Unit 6 Quiz

## Reading Assignment: 12.1 to 12.8

Homework Assignment: 12.1 to 12.8
Class Discussion
Unit 7 Quiz

## End of Course Algebra

Comprehensive Review

Class Discussion
Course Project
Final Exam
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