MATH 0106: Basic Mathematics
Instructor Guide
This MATH 0106 Instructor Guide contains
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Course Syllabus
Course Orientation
EagleOnline Course
MATH 0106 Worksheets
Credits
Mathematics
Your HCCS Campus
Math 0106: Basic Mathematics
CRN ##### – Semester/Year
Class location| Meeting times | Meeting days (Ex. Mon and Wed)
1 hour lecture course / 16 hours per semester/ # of weeks
(REVISED AUGUST 2014)
Catalog Description:
Topics include fundamental operations fractions and decimals, percents, ratios,
and proportions. All students who enroll in this course are expected to complete MATH 0409 in the
following consecutive semester before attempting either MATH 0312 or MATH 1332. A comprehensive
Departmental Final Exam will be given in this course.
Credits:
1 credit hour (1 Lecture).
Prerequisites: TSIA ABE Levels 3−4 TSIA Math Score 323 – 335 or TSIA Math Score 336 – 347 with
Elementary Algebra Score 0−4.
Audience:
This course is for students who require state mandated remediation.
Course Goal
This course provides students with the basic arithmetical skills enabling them to proceed to the next level
mathematics course. It is also designed to strengthen many of the skills that an individual must
demonstrate or master in order to achieve college readiness. It is also intended for those students who
are reasonably adept at performing the simple mathematical operations needed in every day affairs, but
become quite confused when confronted with the same operations in the context of a mathematics class.
Course Student Learning Outcomes (SLO):
1. Correctly choose and apply the four basic arithmetic operations with decimals and fractions to estimate and
solve application problems.
2. Apply “Proportional Reasoning” to solve related problems including ratios, rates, proportion, and percent.
Learning outcomes
Students will:
1.1 solve problems by estimating and rounding.
1.2 find the least common multiples of two or more whole numbers.
1.3 add, subtract, multiply and divide fractions.
1.4 add, subtract, multiply and divide with decimals and percent.
2.1 solve problems involving ratio and proportion.
Textbook:
None
Course Outline:
Instructors may find it preferable to cover the course topics in the order listed below.
However, the instructor may choose to organize topics in any order, but all material must be covered.
Mathematics
Your HCCS Campus
Math 0106: Basic Mathematics
CRN ##### – Semester/Year
Class location| Meeting times | Meeting days (Ex. Mon and Wed)
1 hour lecture course / 16 hours per semester/ # of weeks
CONTENTS
(Approximate Time)
SECTION NUMBERS
TOPICS
1
FRACTIONAL NOTATION: MULTIPLICATION AND DIVISION
(4 hours)
This unit addresses multiples of a number, divisibility tests for 2,3,5,6,9,10; factoring an integer;
identifying prime numbers from 1 to 100; prime factorization of composite numbers; identification of
numerator and denominator; simplifying fractions; problem solving using fractional multiplication;
determining whether two fractions are equivalent; working with the reciprocal of a number; addition,
subtraction, multiplication and division of fractions and mixed numbers.
1.1
1.2
1.3
1.4
1.5
1.6
1.7
Multiples and Divisibility
Factorizations
Fractions and Fraction Notation
Multiplication of Fractions
Simplifying
Multiplying, Simplifying, and More with Area
Reciprocals and Division
RECOMMEND QUIZ I: COVERS SECTION 1
2
FRACTIONAL NOTATION: ADDITION AND SUBTRACTION
(0.5 hours)
(2 hours)
This unit consists of finding the LCM of two or more numbers; converting from mixed numerals to
fraction notation; converting from fractional notation to mixed numbers; addition and subtraction of
fractions; using fractions in problem solving situations.
2.1
2.2
2.3
Least Common Multiples
Addition, Order and Applications
Subtraction, Equations, and Applications
RECOMMEND QUIZ 2: COVERS SECTION 2
(0.5 hours)
Mathematics
Your HCCS Campus
Math 0106: Basic Mathematics
CRN ##### – Semester/Year
Class location| Meeting times | Meeting days (Ex. Mon and Wed)
1 hour lecture course / 16 hours per semester/ # of weeks
3
DECIMAL NOTATION
(4 hours)
This unit provides coverage of writing word names for decimal notation; converting between fractions
and decimals; comparing decimal numbers; rounding and estimating decimals; addition, subtraction,
multiplication and division of decimals,. The unit concludes with by problem solving that requires an
application of decimals.
3.1
3.2
3.3
3.4
3.5
3.6
3.7
Decimal Notation, Order and Rounding
Addition and Subtraction of Decimals
Multiplication of Decimals
Division of Decimals
Using Fractional Notation with Decimal Notation
Estimating
Applications and Problem Solving
RECOMMEND QUIZ 3: COVERS SECTION 3
4
PERCENT NOTATION
(0.5 hours)
(6 hours)
This unit covers finding fraction notation for ratios; giving the ratio of two different measures as a rate;
determining whether two pairs of numbers are proportional; solving proportions; solving application
exercises involving ratios; writing three kinds of notation for a percent; converting between percent
notation and decimal notation; converting from fraction notation to percent notation; converting from
percent notation to fraction notation; translating percent problems to percent equations; solving basic
percent problems; translating percent problems to proportions; solving basic percent problems; solving
applied problems involving percent; solving applied problems involving percent of increase or decrease.
4.1
4.2
4.3
4.4
4.5
Ratio and Proportion
Percent Notation
Percent and Fraction Notation
Solving Percent Problems Using Proportions
Applications of Percent
RECOMMEND QUIZ 4: COVERS SECTION 4
(0.5 hours)
REVIEW FOR FINAL EXAMINATION: COVERS SECTIONS 1 − 4
(1 to 1.5 hours)
COMPREHENSIVE FINAL EXAMINATION: COVERS SECTIONS 1 − 4
(1 to 1.5 hours)
Mathematics
Your HCCS Campus
Math 0106: Basic Mathematics
CRN ##### – Semester/Year
Class location| Meeting times | Meeting days (Ex. Mon and Wed)
1 hour lecture course / 16 hours per semester/ # of weeks
System-Wide Policies:
1. Each instructor must cover all course topics by the end of the semester. The final
exam is comprehensive and questions on it can deal with any of the course objectives.
2. Each student should receive a copy of the instructor’s course syllabus during the first
week of class.
3. A minimum of three in class quizzes and a comprehensive final departmental
examination must be given. All students must take the final examination.
4. The final exam must count for at least 50 percent of the final grade.
5. A System-Wide Final Examination must be passed with a score of at least 60%. No D−
grades or IP−grades are allowed.
7. The final course average will be computed using a ten point scale
(90–100 "A", 80–89 "B", 70–79 "C", 60-69 or below "F"). Note: The grades of W or
IP are no longer available instructors to assign.
8. Neither an open book nor a take home major test or quiz may be given at the
discretion of the instructor.
9. Any review sheet(s) should be comprehensive and the student should not feel that
classroom notes, homework, and quizzes might be ignored in favor of the review
sheet for any examination.
10. No calculators are to be used on graded course work and in particular all
examinations.
Resource Materials: All course materials are available within the EagleOnline 2.0 Course Management
System. Instructors must complete basic training before they are given access to these materials.
Students may also choose to purchase a course pack at their local bookstore. Any student enrolled in
Math 0306 at HCC has access to the Learning Resource Center (LRC) where they may get additional
help in understanding the theory or in improving their skills. The LRC is staffed with mathematics
faculty and student assistants, and offers tutorial help, videotapes and computer assisted drills.
Suggested Methods: It is helpful to begin each class with questions related to previous material
discussed and assigned homework problems. It is recommended that allowing the students to work on
examples in class follow lectures and new material. Students should be encouraged to work the review
exercises at the end of each chapter and prompted to use the Learning Resource Center at their
respective college.
Mathematics
Your HCCS Campus
Math 0106: Basic Mathematics
CRN ##### – Semester/Year
Class location| Meeting times | Meeting days (Ex. Mon and Wed)
1 hour lecture course / 16 hours per semester/ # of weeks
Final Examination: The final examination is departmental and consists of 25 multiple-choice
problems. The problems cover only the material required in this course.
Americans with Disabilities Act (ADA): Persons needing accommodations due to a documented
disability should contact the ADA counselor for their college as soon as possible. Identify all
documented disabled students and insure them that your class will be structured to comply with their
disabilities. It is recommended that you put a clause in you course syllabus that addresses the disabled
student.
In addition, this course has an associated EagleOnline Model course. The instructor is expected to use the EagleOnline model
course. Your class should be listed as web−enhanced within Peoplesoft so that your students will have access to the EagleOnline
model course.
For more information on how to use the EagleOnline Model course, please complete the Faculty Training Module found on the
Virtual Faculty Lounge at hcc.edu/vfl. Select Specialized Training, and then Training for Developmental Math Faculty.
The Teaching and Learning Program course numbers are
TL1310 Developmental Math Faculty Training – MATH 0106
TL1320 Developmental Math Faculty Training – MATH 0409
Course Orientation
The Course Orientation is a PowerPoint presentation which is available within your EagleOnline Course under Instructor
Resources. To access the PowerPoint, follow each of these steps:
1.
2.
3.
Log into EagleOnline:
Open your course
Open the Instructor Resources tab from the Course Menu
A modified copy of the Orientation is provided on the next few pages. You will need to fill in material that is specific to
your campus and course.
EagleOnline Course
Your course should have an EagleOnline course shell available.
You can copy the Master Course by using one of the following methods:
(1) Follow the instructions on the following document:
http://ctle.hccs.edu/FacultyPortal/tlp/train_dev_math_faculty/develMathFaculty/downloads/in
stall_model_courses.pdf
(2) Download the model course backup file and use it to Restore your course.
(a) Copy the url for the MATH 0106 Model Course Backup
(b) Paste the link in your browser window
(c) Download the file to your computer.
(d) Log into your EagleOnline Math 0106 course
(e) Use the Restore option to upload the MATH 0106 Model Course Backup
Link to Math 0106 Model Course Backup:
https://www.dropbox.com/s/d92o6ywbzo3na8p/backup-moodle2-course-12107math_0106_basic_mathematics_mc-20141222-1337.mbz?dl=0
Home Page
Be sure to turn the editing on so that you can input your information.
Then select Topic Settings, make changes, and Save your changes.
Start Here
You may want to replace the course orientation audio with one of your own.
Replace the syllabus link and instructor information links with your own information.
Course Layout
Each week is broken up into topics.
 Week 1: Fractions
 Week 2: Decimals
 Week 3: Ratios and Percents
 Week 4: Review and Final Exam
Week 1: Fractions
The topics consist of links to videos and links to worksheets. You can replace any of these links
with your own. You can use these within your class time or you can require your students to
complete these outside of class.
Flash Card Activity
Quiz
Each section has a quiz. You can modify the quiz
settings to make this required or practice. You may
want to quiz within the classroom using a paper and
pencil quiz. You can add questions or change the
questions that are currently assigned.
The current quiz settings are:
Attempts: 1
Timing: Always available
Layout: All questions show up on the same page
Question Behavior: Shuffled, deferred feedback
Review Options: Student can review after submitting each quiz
The quiz items are selected randomly from the question bank and contain a combination of
multiple choice, open−ended, and matching items.
Selections for Week 1 Fractions Quiz are based upon the following categories:
One quiz that results from this selection is shown below:
Feel free to modify these however you wish.
If you wish, you could allow your students to have multiple attempts at each quiz. Because
the questions are drawn from a test bank, it is highly unlikely that the student will see the
same question twice. Also, many of the questions are algorithmic, such as item 3, shown
above. If the items are not algorithmic, it is highly likely that there is a paired item within the
test bank.
The test items were written by HCC faculty. Although we try to keep the test bank
error−free, it is possible that you may come across an error. If so, please notify the MATH
0106 team so that corrections can be made to the Model Course.
The layout for Week 2 and Week 3 are similar to that of Week 1.
Week 4: Review and Final Exam
The course final exam contains 33 multiple−choice items. Students must score at least 60%
on the final exam in order to receive a grade of A, B, or C in the course.
This section of the EagleOnline course contains a review for the final exam. Students should
complete the review before taking the final exam. You may give the students up to 5
additional points on the course final exam for completing the Final Exam Review.
MATH 0106 Worksheets
The MATH 0106 worksheets are available within the EagleOnline course under Instructor
Resources.
The worksheets can be printed and used within the classroom or can be assigned to be completed
at home.
The answer key is included. Therefore, please do not give your students access to the entire
workbook.
Worksheets are provided for the following topics:
Geometric Formulas 1
Decimal Notation – Order and Rounding
Algebraic Formulas
2
Adding and Subtracting Decimals
Statistical Formulas
3
Multiplying Decimals 20
Syllabus Quiz 4
Dividing Decimals
Student Information Sheet
5
Multiples and Divisibility
7
Prime Factorization
10
11
24
Solving Percent Problems and Applications 26
Review of Order of Operations Worksheet 29
Getting Ready for Factoring Polynomials 1 30
14
Least Common Multiples
Percent Notation
Order of Operations 28
12
Multiplying Fractions 13
Dividing Fractions
21
Ratio and Proportion 23
Prime Factorization − Practice
Reducing Fractions
19
Using Fractional Notation with Decimal Notation
22
9
Understanding Fractions
18
15
Adding and Subtracting Fractions – Common
Denominators 16
Adding and Subtracting Fractions – Unlike
Fractions
17
Getting Ready for Factoring Polynomials 2 31
Week 1 Quiz 32
Week 2 Quiz 35
Week 3 Quiz 38
Credits
Please contact the course designers for additional information or comments.
Math Design
Clen Vance
Jack Hatton
Curriculum Design
Brian Baldwin
Laura Bozeman